%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.383",
%%% date = "29 September 2023",
%%% time = "09:41:08 MDT",
%%% filename = "prng.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "https://www.math.utah.edu/~beebe",
%%% checksum = "17594 118687 513732 5306676",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "AES-NI instruction set; binary Euclidean
%%% algorithm for gcd and extended gcd; Common
%%% Random Numbers; discrepancy; electrical noise
%%% generator; exponential distribution; extended
%%% Euclidean algorithm for gcd; generalized
%%% feedback shift register (GFSR) generator;
%%% Gaussian random number generator; greatest
%%% common denominator (GCD); greatest common
%%% divisor (GCD); Halton sequences; inversive
%%% congruential generator (ICG); lattice point
%%% distribution; lava lamp; linear congruential
%%% generator (LCG); linear feedback shift
%%% register (LFSR) generator; logarithmic
%%% distribution; Mersenne Twister; modular
%%% inverse; Monte Carlo; multiplicative
%%% congruential generator (MCG);
%%% multiply-with-carry (MWC) generator;
%%% nonuniform distribution; normal distribution;
%%% normal number; Philox generator; Poisson
%%% distribution; pseudorandom number generator
%%% (PRNG); quantum noise generator; quasi-Monte
%%% Carlo; random-number generator (RNG); random
%%% variables; random variates; RANDU; RdRand
%%% instruction; rn01; true random number
%%% generator; uniform distribution; ziggurat
%%% method",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This file collects references on pseudorandom
%%% number generation, sampling, selection,
%%% simulation, distribution, and testing. Such
%%% numbers are used in many different fields
%%% (reflected in their descriptions in articles
%%% in more than 570 different journals). While
%%% entries in this bibliography are drawn from a
%%% large corpus of bibliographic data (more than
%%% 1,593,000 entries in Summer 2020), coverage is
%%% necessarily selective. Nevertheless, most of
%%% the important publications in the field that
%%% are frequently referenced by others are
%%% likely to be found here. Particular
%%% attention is given to including historical
%%% sources.
%%%
%%% The related, and huge, field of Monte Carlo
%%% techniques is touched only by fewer than 160
%%% entries. The introduction in entry
%%% James:1980:MCT provides two reasonable
%%% definitions:
%%%
%%% * ``A Monte Carlo technique is any technique
%%% making use of random numbers to solve a
%%% problem.''
%%%
%%% * ``the Monte Carlo method is defined as
%%% representing the solution of a problem as a
%%% parameter of a hypothetical population, and
%%% using a random sequence of numbers to
%%% construct a sample of the population, from
%%% which statistical estimates of the
%%% parameter can be obtained.''
%%%
%%% At version 1.383, the year coverage looked
%%% like this:
%%%
%%% 1900 ( 1) 1942 ( 5) 1984 ( 50)
%%% 1901 ( 0) 1943 ( 5) 1985 ( 60)
%%% 1902 ( 0) 1944 ( 5) 1986 ( 64)
%%% 1903 ( 0) 1945 ( 1) 1987 ( 61)
%%% 1904 ( 0) 1946 ( 2) 1988 ( 87)
%%% 1905 ( 0) 1947 ( 3) 1989 ( 88)
%%% 1906 ( 0) 1948 ( 8) 1990 ( 123)
%%% 1907 ( 0) 1949 ( 10) 1991 ( 85)
%%% 1908 ( 1) 1950 ( 8) 1992 ( 121)
%%% 1909 ( 1) 1951 ( 15) 1993 ( 107)
%%% 1910 ( 0) 1952 ( 6) 1994 ( 130)
%%% 1911 ( 0) 1953 ( 15) 1995 ( 121)
%%% 1912 ( 0) 1954 ( 19) 1996 ( 108)
%%% 1913 ( 0) 1955 ( 9) 1997 ( 91)
%%% 1914 ( 1) 1956 ( 21) 1998 ( 106)
%%% 1915 ( 0) 1957 ( 9) 1999 ( 81)
%%% 1916 ( 1) 1958 ( 16) 2000 ( 80)
%%% 1917 ( 0) 1959 ( 19) 2001 ( 105)
%%% 1918 ( 0) 1960 ( 24) 2002 ( 91)
%%% 1919 ( 0) 1961 ( 34) 2003 ( 73)
%%% 1920 ( 0) 1962 ( 26) 2004 ( 78)
%%% 1921 ( 0) 1963 ( 24) 2005 ( 79)
%%% 1922 ( 2) 1964 ( 33) 2006 ( 83)
%%% 1923 ( 0) 1965 ( 27) 2007 ( 69)
%%% 1924 ( 0) 1966 ( 23) 2008 ( 133)
%%% 1925 ( 1) 1967 ( 33) 2009 ( 118)
%%% 1926 ( 0) 1968 ( 36) 2010 ( 130)
%%% 1927 ( 2) 1969 ( 32) 2011 ( 121)
%%% 1928 ( 0) 1970 ( 46) 2012 ( 85)
%%% 1929 ( 1) 1971 ( 36) 2013 ( 53)
%%% 1930 ( 1) 1972 ( 55) 2014 ( 43)
%%% 1931 ( 2) 1973 ( 39) 2015 ( 40)
%%% 1932 ( 0) 1974 ( 46) 2016 ( 35)
%%% 1933 ( 3) 1975 ( 38) 2017 ( 36)
%%% 1934 ( 3) 1976 ( 63) 2018 ( 33)
%%% 1935 ( 0) 1977 ( 39) 2019 ( 30)
%%% 1936 ( 1) 1978 ( 42) 2020 ( 15)
%%% 1937 ( 2) 1979 ( 51) 2021 ( 18)
%%% 1938 ( 6) 1980 ( 47) 2022 ( 22)
%%% 1939 ( 7) 1981 ( 33) 2023 ( 15)
%%% 1940 ( 1) 1982 ( 35)
%%% 1941 ( 4) 1983 ( 50)
%%% 19xx ( 1)
%%% 20xx ( 3)
%%%
%%% Article: 2861
%%% Book: 232
%%% InBook: 4
%%% InCollection: 82
%%% InProceedings: 512
%%% Manual: 11
%%% MastersThesis: 16
%%% Misc: 95
%%% PhdThesis: 20
%%% Proceedings: 159
%%% TechReport: 207
%%% Unpublished: 2
%%%
%%% Total entries: 4201
%%%
%%% Users of random-number generators need to be
%%% aware that much of what has been published in
%%% the field before about 1990 has largely been
%%% obsoleted by newer methods, because the
%%% generated sequences of random numbers have
%%% been shown to be defective in one or more
%%% ways. Examples of such deficiencies include:
%%%
%%% * lack of randomness, or correlations, in
%%% sequences of bits within single numbers;
%%%
%%% * correlations between number subsequences;
%%%
%%% * correlations at constant stepsizes in the
%%% number sequences (see the famous paper
%%% Marsaglia:1968:RNF);
%%%
%%% * short periods that are too readily
%%% exhausted (in 2010, periods of $2^{32}$ can
%%% be traversed in a few seconds, and periods
%%% of $2^{64}$ can be covered in about 30
%%% minutes on one million cores: see entry
%%% Salmon:2011:PRN);
%%%
%%% * fragility with respect to user-specific
%%% initial seeds, with some seeds producing
%%% good sequences, and other seeds, bad
%%% sequences, usually without warning;
%%%
%%% * fragility with respect to internal generator
%%% algorithm parameters (for example, with the
%%% long-used linear congruential generators,
%%% just one satisfactory 32-bit multiplier was
%%% found for every 1,300,000 multipliers
%%% tested; see entries Fishman:1986:EAM and
%%% Park:1988:RNG);
%%%
%%% * fragility with respect to nonunit steps in
%%% the sequences (for a linear congruential
%%% generator, sampling every n-th value can be
%%% shown to be equivalent to a different
%%% choice of multiplier and constant, and that
%%% choice may exhibit strong correlations,
%%% even if the original parameters have been
%%% shown to produce largely-satisfactory
%%% sequences: see entry Marsaglia:1968:RNF,
%%% and page 12 of entry Coddington:1997:RNG);
%%%
%%% * impracticality for parallel computation
%%% because of the need for excessive internal
%%% state (see entry Salmon:2011:PRN);
%%%
%%% * inability to produce independent
%%% simultaneous streams of random numbers from
%%% the generator, as is needed in parallel
%%% computations;
%%%
%%% * lack of algorithm details;
%%%
%%% * lack of cross-platform portability, such as
%%% through dependence on low-level
%%% architecture-dependent (and even
%%% chip-model-dependent) details of computer
%%% arithmetic;
%%%
%%% * lack of source-code access;
%%%
%%% * lack of knowledge of generator period,
%%% generator interval, and generator interval
%%% end points;
%%%
%%% * difficulty of implementing in common
%%% programming languages;
%%%
%%% * need for multiple-precision arithmetic,
%%% or excessive computation for a single
%%% random number;
%%%
%%% * large Monte Carlo computations in physics
%%% and chemistry have sometimes been shown to
%%% be extremely sensitive to long-range
%%% corrections in sequences of random numbers,
%%% and may even converge to an incorrect
%%% answer with one generator, and a correct
%%% result with another (see entries
%%% Coldwell:1974:CDS, Kalle:1984:PRN,
%%% Berdnicov:1991:MCS, Ferrenberg:1992:MCS,
%%% Grassberger:1993:CGR, Kankaala:1993:BLC,
%%% Selke:1993:CFM, Coddington:1994:ARN,
%%% Holian:1994:PNG, Vattulainen:1994:PTR,
%%% Compagner:1995:OCR, Schmid:1995:EMC,
%%% Vattulainen:1995:CSS, Vattulainen:1995:PMT,
%%% Bromley:1996:QNG, Coddington:1997:RNG,
%%% Shchur:1997:CMC, Shchur:1997:SDR,
%%% DSouza:1998:SBD, Gammel:1998:HRR,
%%% Resende:1998:URN, Mertens:2003:EPR,
%%% Bauke:2004:PRC, Mertens:2004:EPR,
%%% Ossola:2004:SED, Hongo:2010:RNG,
%%% Click:2011:QRN, and Ghersi:2017:CQR).
%%%
%%% An ideal pseudorandom-number generator must
%%% be able to produce identical sequences on all
%%% platforms on which it can be made to run.
%%% Otherwise, it is impossible to reproduce a
%%% numerical experiment, violating one of the
%%% key tenets of the scientific method. It is
%%% also impossible to debug a program that
%%% cannot be made to run reproducibly. In
%%% addition, an identical stream of random
%%% numbers is essential if one is to compare
%%% multiple statistical models of some process;
%%% otherwise, it is likely to be difficult to
%%% assign differences in predictions of the
%%% models as due to features of those models, or
%%% just due to variations in input data. Papers
%%% in the modeling, simulation, and statistics
%%% literature refer to such streams with the
%%% capitalized phrase Common Random Numbers
%%% (CRN) and describe them as `variance
%%% reducing' (see chapter 11 of entries
%%% Law:1991:SMA, Law:2000:SMA, and Law:2006:SMA,
%%% and, in year order, entries
%%% Kleijnen:1975:AVC, Heikes:1976:UCR,
%%% Heidelberger:1979:CSS, Kleijnen:1979:ASC,
%%% Wright:1979:ECR, Gal:1984:OEC,
%%% Clark:1986:BSP, Kleijnen:1988:ASE,
%%% Yang:1989:OUC, Yang:1991:UCR,
%%% Glasserman:1992:SGG, Kleijnen:1992:RMS,
%%% Nelson:1992:CRN, Nelson:1993:CVM,
%%% Nelson:1993:RMC, Nelson:1995:UCR,
%%% Dai:1997:RCD, Kleinman:1999:SBO, and
%%% Chick:2001:NPS). See also this article:
%%%
%%% http://en.wikipedia.org/wiki/Variance_reduction
%%%
%%% While there are many algorithms for uniformly
%%% distributed pseudorandom numbers that have
%%% the essential property of reproducible
%%% streams, most methods for converting such
%%% numbers to nonuniform distributions cannot
%%% make that guarantee. Repairing such defects
%%% remains an open research problem.
%%%
%%% For lengthy treatments of the problem of
%%% converting random numbers from uniform
%%% distributions to nonuniform ones, see, in
%%% year order, Knuth:1976:CNR, Devroye:1986:NUR,
%%% Law:1991:SMA (chapter 8), Hormann:1993:QNU,
%%% Schrift:1993:UTN, Cheng:1998:RVG,
%%% Law:2000:SMA (chapter 8), Leydold:2002:FPN,
%%% Hormann:2004:ANR, Beliakov:2005:UNR,
%%% Law:2006:SMA (chapter 8), Cowles:2007:BRA,
%%% deSchryver:2010:NHE, and LEcuyer:2011:NUR,
%%%
%%% Several publications listed here cover the
%%% early, and pre-, history of the use of random
%%% numbers in sampling and simulation. Besides
%%% the several bibliographies cited later, see
%%% particularly these entries (in year order):
%%% Pearson:1900:CGS, Student:1908:PEM,
%%% Ore:1948:NTH, Brown:1949:HRR, Brown:1951:HRR,
%%% Hull:1962:RNG, Teichroew:1965:HDS, and
%%% Good:1969:HRR.
%%%
%%% Before computers became available, generating
%%% random numbers was a tedious and error-prone
%%% task, and several compilations of such
%%% numbers, and comments on them, were published
%%% to reduce the burden on others. Various
%%% believed-to-be random sources, including
%%% electromechanical devices, roulette wheels,
%%% shuffled cards, and drawing from large
%%% collections of numbered objects, were used to
%%% generate the tabulated random numbers. For
%%% the years prior to 1960, see entries (in year
%%% order) Tippett:1927:RSN,
%%% Mahalanobis:1934:TRS, Kermack:1937:SDA,
%%% Kermack:1937:TRS, Fisher:1938:STB,
%%% Kendall:1938:RRS,o Nair:1938:TRS,
%%% Yule:1938:TTR, Kendall:1939:SPR,
%%% Peatman:1942:TRN, Fisher:1943:STB,
%%% Gage:1943:CTR, Swed:1943:TTR, Brown:1948:STR,
%%% Wold:1948:RND, Brown:1949:HRR,
%%% Fisher:1949:STB, Stevens:1949:TRD,
%%% Brown:1951:HRR, Forsythe:1951:GTRa,
%%% Forsythe:1951:GTRb, Tippett:1952:RSN,
%%% Fisher:1953:STBa, Fisher:1953:STBb,
%%% Meyer:1954:GTR, Schwartz:1954:RPC,
%%% Fieller:1955:CRN, RAND:1955:MRD,
%%% Tompkins:1956:RJS, Tompkins:1956:RMR,
%%% Fisher:1957:STBa, Fisher:1957:STBb,
%%% Sengupta:1958:TRN, Sterzer:1959:RNG,
%%% Thomson:1959:EMS, and Tippett:1959:RSN.
%%%
%%% Entry Yule:1927:RS documents the problems of
%%% bias introduced when humans, even
%%% well-intentioned and disinterested ones,
%%% record data.
%%%
%%% I. J. Good remarks in entry Good:1969:HRR
%%% ``Various tables of random digits have been
%%% published. As the editor, Ernest Rubin, says,
%%% these are all random, but some are more
%%% random than others. The question has been
%%% asked `Can a table of random digits have just
%%% one misprint?' This will be left as an
%%% exercise for the reader.''
%%%
%%% Several entries in this bibliography are for
%%% publications that describe physical devices
%%% for generating random numbers from haphazard
%%% phenomena, such as acoustic, electrical, or
%%% optical noise, lava lamps, quantum
%%% interference, and radioactive decay. While
%%% such numbers are likely to be humanly
%%% ``unpredictable'', they are not necessarily
%%% ``uniformly random'' in the sense that large
%%% collections of random numbers on [0,1] should
%%% be uniformly distributed over the unit
%%% interval, and have a limiting average of 1/2:
%%% tests of some of those devices have shown
%%% biases in favor of lower or higher values.
%%%
%%% Entries Kubota:1995:DRE, Mikov:1996:LSA,
%%% Gentle:1990:CIR, and Saiprasert:2010:OHA
%%% discuss rounding errors when random numbers
%%% from one range are converted to numbers in
%%% another range.
%%%
%%% See entries Gentle:1990:CIR,
%%% Mascagni:2000:ASS, and Brent:2006:FRR for
%%% good discussions of desirable properties for
%%% algorithms and software for generation of
%%% random numbers.
%%%
%%% The question of when a sequence of digits, in
%%% some specified base, is random was apparently
%%% first raised in 1909 (see entry
%%% Borel:1909:PDL, and the remark in entry
%%% Borel:1914:LTF). Such numbers are called
%%% ``normal numbers'', but only a few have been
%%% proved to have that property, the first
%%% perhaps being Champernowne's number (see
%%% entry Champernowne:1933:CDN). The constant
%%% pi is believed to be a normal number, but the
%%% proof remains elusive; see Chapter 4 of entry
%%% Borwein:2004:MEP. Normality does NOT mean
%%% that short digit sequences are random: the
%%% sequences 0123456789 and 7777777777 both
%%% occur within the first 22,900,000,000 decimal
%%% digits of pi. The six-digit sequence 999999
%%% appears at the 762nd decimal place, and is
%%% called the ``Feynman point'', after Physics
%%% Nobel laureate Richard Feynman: for
%%% background, see
%%%
%%% http://en.wikipedia.org/wiki/Feynman_point
%%%
%%% Most algorithmic random-number generators
%%% produce a sequence of distinct integers that
%%% eventually repeats, and the count of values
%%% produced to that point is called the
%%% ``period''. Adjacent numbers are never
%%% identical, unlike the digits of a normal
%%% number.
%%%
%%% For testing the quality of random-number
%%% generators, most of the early recommendations
%%% (e.g., see extensive coverage in
%%% Knuth:1997:SA) have the problem that while
%%% they may readily identify really bad
%%% generators, they are rarely helpful in
%%% distinguishing the mediocre from the good,
%%% and good from the superb. What is instead
%%% needed is a suite of several sophisticated
%%% tests, and experience with those tests on a
%%% variety of generators. Notable examples of
%%% such test facilities include the Marsaglia
%%% Diehard Test Suite (entries
%%% Marsaglia:1985:CVR and Marsaglia:1996:DBT),
%%% the L'Ecuyer/Simard TestU01 suite (entries
%%% LEcuyer:2001:TSL, LEcuyer:2002:TSL,
%%% LEcuyer:2006:TSL, and LEcuyer:2007:TCL), the
%%% Marsaglia/Tsang tuftest suite (entry
%%% Marsaglia:2002:SDP), and the NIST 800-22
%%% suite (entry Rukhin:2001:STS). See also
%%% entry Haramoto:2009:AST for a discussion of
%%% how adaptive testing can be used to
%%% distinguish test failure (indicated by
%%% p-values close to 0 or 1) from algorithm
%%% failure.
%%%
%%% Such test facilities need to be available at
%%% all end-user sites where random-number
%%% generator code is compiled, used, or written,
%%% so that researchers can verify for themselves
%%% whether the generator that they are using has
%%% the expected properties of randomness.
%%% Subtle differences in compiler
%%% code-generation order, compiler errors, and
%%% model-dependent hardware variations, can all
%%% be sources of outright generator failure, or
%%% worse (because the failure might not be
%%% detected), substandard quality. In
%%% particular, it is essential to record in
%%% program output the initial seeds, as well as
%%% short selected sequences of random numbers,
%%% such as the first and last 100 numbers
%%% generated in a run. Also, no single
%%% simulation should be trusted until it has
%%% been compared with results obtained from one
%%% or more completely-different generators.
%%%
%%% Researchers and software designers who
%%% contemplate using, or producing, random
%%% number generators for serious, and
%%% widespread, use need to be aware of the
%%% impact of their algorithm choice on the
%%% reliability of results of models based on
%%% random numbers. For a story of how an entire
%%% field of research was put at risk by a poor
%%% choice in a widely-used software package, see
%%% entry Umlauft:2009:GNS.
%%%
%%% In this bibliographer's view, relatively few
%%% of the many journals in which random-number
%%% algorithms have been proposed have been found
%%% to be generally-reliable sources in this
%%% area. Examples of recommended journals
%%% include the ones abbreviated j-CACM,
%%% j-IBM-JRD, j-IBM-SYS-J, j-JACM,
%%% j-J-COMPUT-APPL-MATH, j-PARALLEL-COMPUTING,
%%% j-TOMACS, and j-TOMS, all of whose
%%% random-number articles should be present in
%%% this bibliography.
%%%
%%% While there are many authors of the
%%% publications listed in this bibliography, a
%%% few stand out by having made large numbers of
%%% important, influential, and insightful
%%% contributions. They include George
%%% Marsaglia, Pierre L'Ecuyer, Juergen
%%% Eichenauer-Herrmann, Harald Niederreiter, and
%%% Richard P. Brent. Their deep understanding,
%%% and clear writing, on the problems of
%%% generating and testing pseudorandom numbers
%%% is worthy of study. See also Marsaglia's
%%% publication bibliography at
%%%
%%% https://www.math.utah.edu/pub/bibnet/authors/m/
%%%
%%% At version 0.56, this file was extended with
%%% the 148 bibliography entries given in a fine
%%% survey \cite{Hull:1962:RNG}; its authors
%%% report on their first page:
%%%
%%% ``The bibliography is intended to be
%%% complete with respect to references
%%% concerned with the generation of random
%%% numbers on computers. It contains
%%% substantially all such references to the
%%% open literature, as well as many
%%% references to government and company
%%% reports. In addition it contains a number
%%% of references concerning each of the
%%% related topics which are considered in
%%% this paper.''
%%%
%%% The numbered entries from that bibliography
%%% are identified by HDnumber values in entries
%%% in this file.
%%%
%%% While it is impossible to claim completeness
%%% in a subject-specific bibliography, their
%%% work nevertheless gives a good survey of what
%%% was known about computer generation of
%%% pseudo-random numbers in early 1962. Since
%%% then, the literature on the subject has
%%% exploded, and covers far more material than
%%% we can usefully collect here. In particular,
%%% the unavoidable correlations in congruential
%%% generators were not known until six years
%%% later (Marsaglia:1968:RNF), and the
%%% cryptographic insecurities of many generators
%%% were not even considered by Hull and Dobell
%%% in 1962 (see Shi:1975:SRP, Reeds:1977:CRN,
%%% Reeds:1979:CMC, Plumstead:1982:ISG,
%%% Plumstead:1983:ISP, Blum:1984:HGC,
%%% Frieze:1984:LCG, Knuth:1985:DLC,
%%% Stern:1987:SLC, Frieze:1988:RTI,
%%% Lagarias:1988:UEP, Shi:1988:SRP
%%% Boyar:1989:ISPa, Boyar:1989:ISPb,
%%% Krawczyk:1990:HPC, Brickell:1992:CSR,
%%% Krawczyk:1992:HPC, Schneier:1996:ACP,
%%% Bach:1998:EPM, Marsaglia:2003:RNG,
%%% Contini:2005:SAA, Gutierrez:2007:ISP,
%%% Rose:2011:KBT, and Gutierrez:2013:PML).
%%%
%%% The annotated bibliographies of Sowey
%%% (Sowey:1972:CCB, Sowey:1978:SCB,
%%% Sowey:1986:TCB) contain 300 references from
%%% 1927 to 1971 (6.7/year), 130 references from
%%% 1972 to 1976 (26/year), and 300 references
%%% from 1977--1984 (37/year), demonstrating the
%%% publication growth. Entry Page:1967:GPR
%%% also contains a bibliography of earlier work,
%%% and entry Sahai:1980:SSB supplements Sowey's
%%% work. Another early bibliography is entry
%%% Nance:1972:BRN.
%%%
%%% A search of the IEEE eXplore database for the
%%% decade 2000--2009 found 522 articles with
%%% titles containing 'pseudo-random',
%%% `pseudorandom', and `pseudo random', or about
%%% 52/year. The MathSciNet database shows about
%%% 31/year for that period.
%%%
%%% A Google Scholar search for the same period
%%% finds 1130 article titles with
%%% `pseudorandom', 1400 with `pseudo-random',
%%% 1480 with `pseudo random', and 846 with
%%% `random number generator', or about 485/year.
%%%
%%% Warning: Cryptographic applications of random
%%% numbers may have quite different requirements
%%% than modeling, sampling, and simulation do,
%%% and sequence reproducibility is likely to be
%%% undesirable, because the random numbers are
%%% used to generate secret, and unguessable,
%%% cryptographic keys. It is possible that even
%%% a limited sequence of random values from an
%%% algorithmic generator can be used to reveal
%%% properties and parameters of that generator,
%%% and thus allow prediction of past and future
%%% values. Such a crack has already been
%%% demonstrated for linear congruential
%%% generators: see the remarks above on
%%% cryptographic insecurities of random-number
%%% streams. Attacks on other algorithms have
%%% also been demonstrated: see entries
%%% Kannan:1988:PFN and Just:1990:IRA. Instead,
%%% hardware-assisted sources of truly random
%%% numbers may be needed. Examples include the
%%% Intel AES-NI instruction-set extension (see
%%% entry Salmon:2011:PRN), the Intel RdRand
%%% instruction (see entry Taylor:2011:DR), the
%%% pseudodevices /dev/random and /dev/urandom on
%%% various Unix flavors, and cryptographic
%%% accelerator boards available from some
%%% hardware vendors. Just because the random
%%% numbers come from a physical device does NOT
%%% mean that they are necessarily uniformly
%%% distributed, or pass tests of randomness:
%%% see, for example, entry Tsoi:2003:CFB.
%%%
%%% Entries in this bibliography that discuss
%%% generation of random numbers from physical
%%% sources have the phrase ``true random numbers
%%% from physical sources'' in their keywords
%%% values. See also
%%%
%%% http://en.wikipedia.org/wiki/Comparison_of_hardware_random_number_generators
%%% http://en.wikipedia.org/wiki/Hardware_random_number_generator
%%% http://en.wikipedia.org/wiki//dev/random
%%%
%%% See entries Gutmann:2004:CSA, Barak:2005:MAP,
%%% and Gutterman:2006:ALR for discussion of the
%%% problem of generating data for hardware
%%% pseudodevices, the problem of code complexity
%%% and excessive patching, and demonstration of
%%% bugs and other flaws that affect
%%% cryptographic uses and compromise system
%%% security, despite the large effort in
%%% designing, and then widely deploying, such
%%% devices. The last-cited paper notes: ``[the
%%% Linux pseudodevice] complexity does not
%%% improve its security but rather hides its
%%% weaknesses. We suggest that future
%%% constructions of pseudo-random number
%%% generators follow the BH (Barak--Halevi)
%%% construction (and in general, try to `keep it
%%% simple').''
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
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"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
"\ifx \cftil \undefined \def \cftil#1{\~#1} \fi" #
"\ifx \undefined \cprime \def \cprime {$'$} \fi" #
"\ifx \undefined \flqq \def \flqq {\ifmmode \ll \else \leavevmode \raise 0.2ex \hbox{$\scriptscriptstyle \ll $}\fi}\fi" #
"\ifx \undefined \frqq \def \frqq {\ifmmode \gg \else \leavevmode \raise 0.2ex \hbox{$\scriptscriptstyle \gg $}\fi}\fi" #
"\ifx \undefined \k \let \k = \c \fi" #
"\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" #
"\ifx \undefined \mathbf \def \mathbf #1{{\bf #1}}\fi" #
"\ifx \undefined \mathrm \def \mathrm #1{{\rm #1}}\fi" #
"\ifx \undefined \pkg \def \pkg #1{{{\tt #1}}} \fi" #
"\ifx \undefined \scr \let \scr = \cal \fi"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{ack-r-project = "R Project Team"}
%%% ====================================================================
%%% Institution abbreviations:
@String{inst-ARGONNE = "Argonne National Laboratory"}
@String{inst-ARGONNE:adr = "Argonne, IL, USA"}
@String{inst-ATT-BELL = "AT\&T Bell Laboratories"}
@String{inst-ATT-BELL:adr = "Murray Hill, NJ, USA"}
@String{inst-BOEING-SRL = "Boeing Scientific Research Laboratories"}
@String{inst-BOEING-SRL:adr = "Seattle, WA, USA"}
@String{inst-LANL = "Los Alamos National Laboratory"}
@String{inst-LANL:adr = "Los Alamos, NM, USA"}
@String{inst-LASL = "Los Alamos Scientific Laboratory"}
@String{inst-LASL:adr = "Los Alamos, NM, USA"}
@String{inst-MATHWORKS = "The MathWorks, Inc."}
@String{inst-MATHWORKS:adr = "3 Apple Hill Drive, Natick, MA 01760-2098,
USA"}
@String{inst-SRC-IDA = "Supercomputing Research Center: IDA"}
@String{inst-SRC-IDA:adr = "Lanham, MD, USA"}
@String{inst-STAN-CS = "Stanford University, Department of Computer
Science"}
@String{inst-STAN-CS:adr = "Stanford, CA, USA"}
@String{inst-UIUC-CSRD = "University of Illinois at Urbana-Champaign,
Center for Supercomputing Research and
Development"}
@String{inst-UIUC-CSRD:adr = "Urbana, IL 61801, USA"}
@String{inst-UTAH-MATH = "University of Utah, Department of Mathematics"}
@String{inst-UTAH-MATH:adr = "Salt Lake City, UT 84112-0090, USA"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ABH-MATH-SEMIN-UNIV-HAMBG = "Abhandlungen aus dem Mathematischen
Seminar der Universit{\"a}t Hamburg"}
@String{j-ABSTR-PAP-AM-CHEM-SOC = "Abstracts of Papers of the {American
Chemical Society}"}
@String{j-ACM-COMM-COMP-ALGEBRA = "ACM Communications in Computer Algebra"}
@String{j-ACTA-ARITHMETICA = "Acta Arithmetica"}
@String{j-ACTA-CRYSTAL-A-FOUND-CRYST = "Acta crystallographica. Section A,
Foundations of crystallography"}
@String{j-ACTA-MATH-HUNG = "Acta mathematica Academiae Scientiarum
Hungaricae"}
@String{j-ACTA-MATH-SINICA = "Acta Mathematica Sinica (New Series)"}
@String{j-ADA-LETT = "Ada Letters"}
@String{j-ADA-USER-J = "Ada User Journal"}
@String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"}
@String{j-ADV-APPL-PROB = "Advances in Applied Probability"}
@String{j-ADV-APPL-STAT = "Advances and Applications in Statistics"}
@String{j-ADV-MATH = "Advances in Mathematics"}
@String{j-ADV-SCI-LETT = "Advanced Science Letters"}
@String{j-AIP-CONF-PROC = "AIP Conference Proceedings"}
@String{j-ALGORITHMICA = "Algorithmica"}
@String{j-ALGORITHMS-BASEL = "Algorithms ({Basel})"}
@String{j-AM-J-MATH-MANAGE-SCI = "American Journal of Mathematical and
Management Sciences"}
@String{j-AM-SCI = "American Scientist"}
@String{j-AMER-J-PHYSICS = "American Journal of Physics"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-AMER-STAT = "The American Statistician"}
@String{j-ANG-INFO-ELEK-DATEN = "Angewandte Informatik (Elektron.
Datenverarbeitung)"}
@String{j-ANN-APPL-PROBAB = "Annals of Applied Probability"}
@String{j-ANN-HIST-COMPUT = "Annals of the History of Computing"}
@String{j-ANN-INST-STAT-MATH-TOKYO = "Annals of the Institute of Statistical
Mathematics (Tokyo)"}
@String{j-ANN-MAT-PURA-APPL-4 = "Annali di matematica pura ed applicata.
Series 4"}
@String{j-ANN-MATH = "Annals of Mathematics"}
@String{j-ANN-MATH-STAT = "Annals of Mathematical Statistics"}
@String{j-ANN-NY-ACAD-SCI = "Annals of the New York Academy of Sciences"}
@String{j-ANN-OPER-RESEARCH = "Annals of Operations Research"}
@String{j-ANN-PROBAB = "Annals of Probability"}
@String{j-ANN-STAT = "Annals of Statistics"}
@String{j-ANZIAM-J = "The ANZIAM Journal"}
@String{j-ANZJS = "Australian \& New Zealand Journal of
Statistics"}
@String{j-APPL-ALGEBRA-ENG-COMMUN-COMPUT = "Applicable algebra in engineering,
communication and computing"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-MATH-LETT = "Applied Mathematics Letters"}
@String{j-APPL-MATH-SER-NBS = "Applied Mathematics Series / National Bureau
of Standards"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-APPL-OPTICS = "Applied Optics"}
@String{j-APPL-PHYS-EXPRESS = "Applied Physics Express"}
@String{j-APPL-PHYS-LET = "Applied Physics Letters"}
@String{j-APPL-STAT = "Applied Statistics"}
@String{j-ARCH-MATH = "Archiv der Mathematik"}
@String{j-ARS-COMB = "Ars Combinatoria. The Canadian Journal of
Combinatorics"}
@String{j-ATT-BELL-LAB-TECH-J = "AT\&T Bell Laboratories Technical Journal"}
@String{j-ATT-TECH-J = "AT\&T Technical Journal"}
@String{j-AUST-J-STAT = "Australian Journal of Statistics"}
@String{j-AUSTRALIAN-COMP-J = "Australian Computer Journal"}
@String{j-AUSTRALIAN-J-PHYS = "Australian Journal of Physics"}
@String{j-AUTOMATION-REMOTE-CTL = "Automation and Remote Control"}
@String{j-BEHAV-RES-METH-INSTR = "Behavior Research Methods and
Instrumentation"}
@String{j-BEHAV-RES-METH-INSTR-COMP = "Behavior Research Methods, Instruments,
and Computers"}
@String{j-BELL-SYST-TECH-J = "The Bell System Technical Journal"}
@String{j-BIOMETRICAL-J = "Biometrical Journal"}
@String{j-BIOMETRIKA = "Biometrika"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BOLL-UNIONE-MAT-ITAL = "Bollettino della Unione matematica
italiana"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-BULL-INST-MATH-STAT = "Bulletin --- Institute of Mathematical
Statistics"}
@String{j-BYTE = "BYTE Magazine"}
@String{j-C-PLUS-PLUS-REPORT = "C++ Report"}
@String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des
S{\'e}ances de l'Acad{\'e}mie des Sciences.
S{\'e}ries A et B"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CAD = "Computer Aided Design"}
@String{j-CALCOLO = "Calcolo: a quarterly on numerical analysis
and theory of computation"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal
canadien de math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Canadian mathematical bulletin = Bulletin
canadien de math{\'e}matiques"}
@String{j-CCCUJ = "C/C++ Users Journal"}
@String{j-CCPE = "Concurrency and Computation: Prac\-tice and
Experience"}
@String{j-CGF = "Computer Graphics Forum"}
@String{j-CGIP = "Computer Graphics and Image Processing"}
@String{j-CHANCE = "Chance"}
@String{j-CHAOS-SOLITONS-FRACTALS = "Chaos, Solitons \& Fractals"}
@String{j-CHIFFRES = "Chiffres: Revue de l'Association
fran{\c{c}}aise de Calcul"}
@String{j-CHIN-PHYS-LETT = "Chinese Physics Letters"}
@String{j-COLLEGE-MATH-J = "College Mathematics Journal"}
@String{j-COLLOQ-MATH-BOLYAI = "Colloquia Mathematica Societatis J{\'a}nos Bolyai"}
@String{j-COMBIN-PROBAB-COMPUT = "Combinatorics, Probability and Computing"}
@String{j-COMBINATORICA = "Combinatorica"}
@String{j-COMM-NONLIN-SCI-NUM-SIM = "Communications in Nonlinear Science and
Numerical Simulation"}
@String{j-COMM-STAT = "Communications in Statistics"}
@String{j-COMMUN-STAT-THEORY-METH = "Communications in Statistics: Theory and
Methods"}
@String{j-COMMUN-INF-SYST = "Communications in Information and Systems"}
@String{j-COMMUN-STAT-SIMUL-COMPUT = "Communications in Statistics: Simulation
and Computation"}
@String{j-COMP-AUTO = "Computers and Automation"}
@String{j-COMP-GEOSCI = "Computers and Geosciences"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-LANG-MAG = "Computer Language Magazine"}
@String{j-COMP-LANGS = "Computer Languages"}
@String{j-COMP-MATH = "Computational Mathematics"}
@String{j-COMP-REV = "Computing Reviews"}
@String{j-COMP-STAT = "Computational Statistics"}
@String{j-COMP-SURV = "ACM Computing Surveys"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics and Applications"}
@String{j-COMPUT-MATH-APPL-B = "Computers and Mathematics with Applications.
Part B"}
@String{j-COMPUT-SOFTW-BIG-SCI = "Computing and Software for Big Science"}
@String{j-COMP-OP-RES = "Computers and Operations Research"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMPUT-PHYS = "Computers in Physics"}
@String{j-COMPUT-SECUR = "Computers \& Security"}
@String{j-COMPUT-AND-BIOMED-RES = "Computers and Biomedical Research"}
@String{j-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-COMPUT-BULL = "The Computer Bulletin"}
@String{j-COMPUT-IND-ENG = "Computers \& Industrial Engineering"}
@String{j-COMPUT-METH-PROG-BIOMED = "Computer Methods and Programs in
Biomedicine"}
@String{j-COMPUT-PROGRAMS-BIOMED = "Computer Programs in Biomedicine"}
@String{j-COMPUT-SCI-ENG = "Computing in Science and Engineering"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUT-STAT-Q = "Computational Statistics Quarterly"}
@String{j-COMPUT-SYST-SCI-ENG = "Computer Systems Science and Engineering"}
@String{j-COMPUTABILITY = "Computability"}
@String{j-COMPUTER = "Computer"}
@String{j-COMPUTERS-AND-GRAPHICS = "Computers and Graphics"}
@String{j-COMPUTING = "Computing: Archiv f{\"u}r Informatik und
Numerik"}
@String{j-CONTEMP-MATH = "Contemporary Mathematics (American
Mathematical Society)"}
@String{j-CRYPTOGR-COMMUN = "Cryptography and Communications"}
@String{j-CRYPTOLOGIA = "Cryptologia"}
@String{j-CUJ = "C Users Journal"}
@String{j-CVGIP = "Computer Vision, Graphics, and Image
Processing"}
@String{j-CVGIP-GMIP = "Computer Vision, Graphics, and Image
Processing. Graphical Models and Image
Processing"}
@String{j-CVGIP-IU = "Computer Vision, Graphics, and Image
Processing. Image Understanding"}
@String{j-CYBER = "Cybernetics"}
@String{j-CZECH-J-PHYS = "Czechoslovak Journal of Physics"}
@String{j-CZECH-MATH-J = "Czechoslovak mathematical journal = Chekhoslovatskii matematicheskii zhurnal"}
@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"}
@String{j-DISTRIB-COMPUT = "Distributed Computing"}
@String{j-DOKL-AKAD-NAUK = "Doklady Akademii Nauk SSSR"}
@String{j-DUKE-MATH-J = "Duke Mathematical Journal"}
@String{j-ECONOMETRICA = "Econometrica"}
@String{j-EDU-PSYCH-MEASUREMENT = "Educational and Psychological Measurement"}
@String{j-ELECT-LETTERS = "Electronics Letters"}
@String{j-ELECT-COMM-JAPAN-3-FUND-ELECT-SCI = "Electronics and communications in
Japan. Part 3, Fundamental electronic
science"}
@String{j-ELECTRON-COMMUN-PROBAB = "Electronic Communications in Probability"}
@String{j-ELECTRON-ENG = "Electronic Engineering"}
@String{j-ELECTRON-J-PROBAB = "Electronic Journal of Probability"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis (ETNA)"}
@String{j-ELECTRONIC-DESIGN = "Electronic Design"}
@String{j-ELECTRONICS = "Electronics"}
@String{j-ELEK-INFO-KYBER = "Elektronische Informationsverarbeitung und
Kybernetik (EIK)"}
@String{j-ESAIM-PROBAB-STATIST = "ESAIM: Probability and Statistics"}
@String{j-EUR-J-OPER-RES = "European Journal of Operational Research"}
@String{j-EUR-J-PHYS = "European Journal of Physics"}
@String{j-EUR-PHYS-J-SPEC-TOP = "European Physical Journal --- Special
Topics"}
@String{j-EURASIP-J-EMBED-SYS = "EURASIP Journal on Embedded Systems"}
@String{j-EUROPHYS-LETT = "Europhysics Letters"}
@String{j-EXP-MATH = "Experimental Mathematics"}
@String{j-FIB-QUART = "Fibonacci Quarterly"}
@String{j-FINITE-FIELDS-APPL = "Finite Fields and their Applications"}
@String{j-FORTRAN-FORUM = "ACM Fortran Forum"}
@String{j-FUT-GEN-COMP-SYS = "Future Generation Computer Systems"}
@String{j-FUTURE-INTERNET = "Future Internet"}
@String{j-GEOBYTE = "Geobyte"}
@String{j-HEWLETT-PACKARD-J = "Hew\-lett-Pack\-ard Journal: technical
information from the laboratories of
Hew\-lett-Pack\-ard Company"}
@String{j-IBM-JRD = "IBM Journal of Research and Development"}
@String{j-IBM-SYS-J = "IBM Systems Journal"}
@String{j-IBM-TDB = "IBM Technical Disclosure Bulletin"}
@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital
Techniques"}
@String{j-IEE-PROC-E = "IEE proceedings, E: Computers and digital
techniques"}
@String{j-IEEE-ANN-HIST-COMPUT = "IEEE Annals of the History of Computing"}
@String{j-IEEE-CGA = "IEEE Computer Graphics and Applications"}
@String{j-IEEE-COMMUN-LET = "IEEE Communications Letters"}
@String{j-IEEE-COMPUT-ARCHIT-LETT = "IEEE Computer Architecture Letters"}
@String{j-IEEE-COMPUT-SCI-ENG = "IEEE Computational Science \& Engineering"}
@String{j-IEEE-DES-TEST-COMPUT = "IEEE Design \& Test of Computers"}
@String{j-IEEE-INT-SYMP-INF-THEORY = "IEEE International Symposium on
Information Theory"}
@String{j-IEEE-J-SOLID-STATE-CIRCUITS = "IEEE Journal of Solid-State Circuits"}
@String{j-IEEE-MICRO = "IEEE Micro"}
@String{j-IEEE-PHOTONICS-TECHNOL-LETT = "IEEE Photonics Technology Letters"}
@String{j-IEEE-SEC-PRIV = "IEEE Security \& Privacy"}
@String{j-IEEE-SPECTRUM = "IEEE Spectrum"}
@String{j-IEEE-TRANS-APPL-SUPERCOND = "IEEE Transactions on Applied
Superconductivity"}
@String{j-IEEE-TRANS-BIG-DATA = "IEEE Transactions on Big Data"}
@String{j-IEEE-TRANS-CAD-ICS = "IEEE Transactions on Computer-Aided Design of
Integrated Circuits and Systems"}
@String{j-IEEE-TRANS-CIRCUITS-SYST = "IEEE Transactions on Circuits and
Systems"}
@String{j-IEEE-TRANS-CIRCUITS-SYST-1 = "IEEE Transactions on Circuits and
Systems I: Regular Papers"}
@String{j-IEEE-TRANS-CIRCUITS-SYST-I-FUNDAM-THEORY-APPL = "IEEE Transactions on
Circuits and Systems I: Fundamental
Theory and Application"}
@String{j-IEEE-TRANS-COMM = "IEEE Transactions on Communications"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"}
@String{j-IEEE-TRANS-EMERG-TOP-COMPUT = "IEEE Transactions on Emerging Topics in
Computing"}
@String{j-IEEE-TRANS-INF-FOREN-SEC = "IEEE Transactions on Information Forensics
and Security"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-INSTRUM-MEAS = "IEEE Transactions on Instrumentation and Measurement"}
@String{j-IEEE-TRANS-NETWORKING = "IEEE\slash ACM Transactions on Networking"}
@String{j-IEEE-TRANS-NUCL-SCI = "IEEE Transactions on Nuclear Science"}
@String{j-IEEE-TRANS-PAR-DIST-SYS = "IEEE Transactions on Parallel and
Distributed Systems"}
@String{j-IEEE-TRANS-POWER-DELIV = "IEEE Transactions on Power Delivery"}
@String{j-IEEE-TRANS-RELIAB = "IEEE Transactions on Reliability"}
@String{j-IEEE-TRANS-SOFTW-ENG = "IEEE Transactions on Software Engineering"}
@String{j-IEEE-TRANS-VLSI-SYST = "IEEE Transactions on Very Large Scale
Integration (VLSI) Systems"}
@String{j-IIE-TRANS = "IIE Transactions"}
@String{j-IJCSS = "International Journal of Computer Science and
Security (IJCSS)"}
@String{j-IJSAHPC = "The International Journal of Supercomputer
Applications and High Performance Computing"}
@String{j-ILL-J-MATH = "Illinois Journal of Mathematics"}
@String{j-IMAGE-VIS-COMPUT = "Image and Vision Computing"}
@String{j-INDAG-MATH = "Indagationes Mathematic{\ae}"}
@String{j-INF-CONTROL = "Information and Control"}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INFOR = "INFOR"}
@String{j-INFORMS-J-COMPUT = "INFORMS Journal on Computing"}
@String{j-INSUR-MATH-ECON = "Insurance, Mathematics and Economics"}
@String{j-INT-J-APPL-CRYPTOGR = "International Journal of Applied
Cryptography. IJACT"}
@String{j-INT-J-APPROX-REASONING = "International Journal of Approximate
Reasoning"}
@String{j-INT-J-CIRCUIT-THEORY-APPL = "International Journal of Circuit Theory
and Applications"}
@String{j-INT-J-COMPUT-APPL = "International Journal of Computer
Applications"}
@String{j-INT-J-COMPUT-MATH = "International Journal of Computer
Mathematics"}
@String{j-INT-J-COMPUT-INF-SCI = "International Journal of Computer and
Information Sciences"}
@String{j-INT-J-FOUND-COMP-SCI = "International Journal of Foundations
of Computer Science (IJFCS)"}
@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
Computing (IJHSC)"}
@String{j-INT-J-INFO-SEC = "International Journal of Information
Security"}
@String{j-INT-J-MATH-EDU-SCI-TECH = "International Journal of Mathematical
Education in Science and Technology"}
@String{j-INT-J-MATH-MATH-SCI = "International Journal of Mathematics and
Mathematical Sciences"}
@String{j-INT-J-MOD-PHYS-C = "International Journal of Modern Physics C
[Physics and Computers]"}
@String{j-INT-J-MODELLING-SIMUL = "International Journal of Modelling and
Simulation"}
@String{j-INT-J-NUMBER-THEORY = "International Journal of Number Theory"}
@String{j-INT-J-PARALLEL-PROG = "International Journal of Parallel
Programming"}
@String{j-INT-J-PAR-EMER-DIST-SYS = "International Journal of Parallel,
Emergent and Distributed Systems: IJPEDS"}
@String{j-INT-J-THEOR-PHYS = "International Journal of Theoretical
Physics"}
@String{j-INT-STAT-REV = "International Statistical Review =
Revue Internationale de Statistique"}
@String{j-INT-STUD-PHILOS-SCI = "International Studies in the Philosophy of
Science"}
@String{j-INTERFACE = "Interface"}
@String{j-INTERFACES = "Interfaces"}
@String{j-IRE-TRANS-ELEC-COMPUT = "IRE Transactions on Electronic Computers"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-ACOUST-SOC-AM = "Journal of the Acoustical Society of
America"}
@String{j-J-ALG = "Journal of Algorithms"}
@String{j-J-AM-STAT-ASSOC = "Journal of the American Statistical
Association"}
@String{j-J-APPL-ECONOMETRICS = "Journal of Applied Econometrics"}
@String{j-J-APPL-PHYS = "Journal of Applied Physics"}
@String{j-J-APPL-PROBAB = "Journal of Applied Probability"}
@String{j-J-APPL-STAT = "Journal of Applied Statistics"}
@String{j-J-ASTRONAUTICAL-SCIENCES = "Journal of the Astronautical Sciences"}
@String{j-J-CHEM-PHYS = "Journal of Chemical Physics"}
@String{j-J-CHEM-THEORY-COMPUT = "Journal of Chemical Theory and Computation"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMP-SECUR = "Journal of Computer Security"}
@String{j-J-COMP-SYS-SCI = "Journal of Computer and System Sciences"}
@String{j-J-COMPLEXITY = "Journal of Complexity"}
@String{j-J-COMPUT-GRAPH-STAT = "Journal of Computational and Graphical
Statistics"}
@String{j-J-COMPUT-CHEM = "Journal of Computational Chemistry"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-CRYPTO-ENG = "Journal of Cryptographic Engineering"}
@String{j-J-CRYPTOLOGY = "Journal of Cryptology: the journal of the
International Association for Cryptologic
Research"}
@String{j-J-DISCR-MATH-SCI-CRYPTO = "Journal of Discrete Mathematical Sciences
and Cryptography"}
@String{j-J-ECON-DYN-CONTROL = "Journal of Economic Dynamics and Control"}
@String{j-J-ECON-LIT = "Journal of Economic Literature"}
@String{j-J-FUNCT-PROGRAM = "Journal of Functional Programming"}
@String{j-J-INF-OPTIM-SCI = "Journal of Information \& Optimization Sciences"}
@String{j-J-INFO-SEC-APPL = "Journal of Information Security and
Applications (JISA)"}
@String{j-J-JAPAN-SOC-COMPUT-STAT = "Journal of Japanese Society of
Computational Statistics"}
@String{j-J-LOND-MATH-SOC = "Journal of the London Mathematical Society"}
@String{j-J-MATH-ARTS = "Journal of Mathematics and the Arts"}
@String{j-J-MATH-CRYPTOL = "Journal of Mathematical Cryptology"}
@String{j-J-MATH-KYOTO-UNIV = "Journal of Mathematics of Kyoto University"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-MOD-APPL-STAT-METH = "Journal of Modern Applied Statistical
Methods"}
@String{j-J-MOD-OPT = "Journal of Modern Optics"}
@String{j-J-NETW-COMPUT-APPL = "Journal of Network and Computer
Applications"}
@String{j-J-NUMBER-THEORY = "Journal of Number Theory"}
@String{j-J-NUMER-METHODS-COMPUT-APPL = "Journal on Numerical Methods and
Computer Applications"}
@String{j-J-OPER-RES-SOC = "OR: the journal of the Operational Research
Society"}
@String{j-J-OPER-RES-SOC-JPN = "Journal of the Operations Research Society of
Japan"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-PARAPSYCHOL = "Journal of Parapsychology"}
@String{j-J-PAS-ADA-MOD = "Journal of Pascal, Ada and Modula-2"}
@String{j-J-PHILOS-LOGIC = "Journal of Philosophical Logic"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and
General)"}
@String{j-J-PHYS-CHEM-B = "Journal of Physical Chemistry. B. Condensed
matter, materials, surfaces,
interfaces \& biophysical"}
@String{j-J-PHYS-E = "Journal of Physics. E: Scientific
Instruments"}
@String{j-J-PSYCHOL = "Journal of Psychology"}
@String{j-J-R-STAT-SOC = "Journal of the Royal Statistical Society"}
@String{j-J-R-STAT-SOC-SER-A-GENERAL = "Journal of the Royal Statistical
Society. Series A (General)"}
@String{j-J-R-STAT-SOC-SER-B-METHODOL = "Journal of the Royal Statistical
Society. Series B (Methodological)"}
@String{j-J-R-STAT-SOC-SER-D-STATISTICIAN = "Journal of the Royal Statistical
Society. Series D (The Statistician)"}
@String{j-J-RES-NATL-BUR-STAND-1934 = "Journal of Research of the National
Bureau of Standards (1934)"}
@String{j-J-RES-NATL-BUR-STAND-B = "Journal of Research of the National Bureau
of Standards. Section B, Mathematics
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@String{pub-USENIX = "USENIX"}
@String{pub-USENIX:adr = "Berkeley, CA, USA"}
@String{pub-USGPO = "United States Government Printing Office"}
@String{pub-USGPO:adr = "Washington, DC, USA"}
@String{pub-VAN-NOSTRAND-REINHOLD = "Van Nostrand Reinhold"}
@String{pub-VAN-NOSTRAND-REINHOLD:adr = "New York, NY, USA"}
@String{pub-W-H-FREEMAN = "W. H. {Freeman and Company}"}
@String{pub-W-H-FREEMAN:adr = "New York, NY, USA"}
@String{pub-WI = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WI:adr = "New York, NY, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing
Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr = "P. O. Box 128, Farrer Road,
Singapore 9128"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-APPL-MATH-SER-NBS = "Applied Mathematics Series / National Bureau
of Standards"}
@String{ser-BOSTON-STUD-PHILOS-SCI = "Boston Studies in the Philosophy of
Science"}
@String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@String{ser-LNMATH = "Lecture Notes in Mathematics"}
%%% ====================================================================
%%% Bibliography entries, sorted by year, and then by citation label:
@Article{Pearson:1900:CGS,
author = "Karl Pearson",
title = "On a Criterion that a Given System of Deviations from
the Probable in the Case of a Correlated System of
Variables is Such That it can be Reasonably Supposed to
Have Arisen in Random Sampling",
journal = j-PHIL-MAGAZINE,
volume = "50",
number = "302",
pages = "157--175",
month = jul # "\slash " # dec,
year = "1900",
CODEN = "PHMAA4",
DOI = "https://doi.org/10.1080/14786440009463897",
ISSN = "0031-8086",
bibdate = "Thu Jan 05 10:58:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.tandfonline.com/doi/pdf/10.1080/14786440009463897",
acknowledgement = ack-nhfb,
fjournal = "The London, Edinburgh, and Dublin Philosophical
Magazine and Journal of Science",
journal-URL = "http://www.tandfonline.com/loi/tphm19",
remark = "This is the paper in which Pearson introduces the
chi-square measure, which the magazine Science 84
(November 1984) ranked among the top twenty scientific
discoveries of the 20th Century that changed our
lives.",
}
@Article{Student:1908:PEM,
author = "{Student}",
title = "The Probable Error of a Mean",
journal = j-BIOMETRIKA,
volume = "6",
number = "1",
pages = "1--25",
month = mar,
year = "1908",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2331554",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 13:37:25 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315351;
https://www.math.utah.edu/pub/tex/bib/biometrika1900.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2331554",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
HDnumber = "116",
journal-URL = "http://www.jstor.org/journals/00063444.html",
remark = "Was the author really W. S. Gossett?",
}
@Article{Borel:1909:PDL,
author = "{\'E}mile Borel",
title = "Les probabilit{\'e}s d{\'e}nombrables et leurs
applications arithm{\'e}tiques. ({French}) [{Countable}
probabilities and their arithmetic applications]",
journal = j-REND-CIRC-MAT,
volume = "27",
number = "??",
pages = "247--271",
month = "????",
year = "1909",
CODEN = "RCMMAR",
DOI = "https://doi.org/10.1007/BF03019651",
ISSN = "0009-725X (print), 1973-4409 (electronic)",
ISSN-L = "0009-725X",
bibdate = "Thu Dec 22 08:18:03 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://springerlink.com/content/121284",
ZMnumber = "40.0283.01",
acknowledgement = ack-nhfb,
fjournal = "Rendiconti del Circolo Matematico di Palermo
(1884--1940)",
language = "French",
remark = "This is believed to be the paper in which Borel
introduced the notion of a ``normal number'', one whose
digits, in a specified base, are truly random. On page
260, Borel writes: ``La probabilit{\'e} {\em pour que
la fr{\'e}quence totale d'un chiffre d{\'e}termin{\'e}
existe et soit {\'e}gale {\`a} $ 1 / 10 $ \/} a pour
valeur l'unit{\'e}. La probabilit{\'e} pour que la
fr{\'e}quence des dix chiffres existe et soit {\'e}gale
{\`a} $ 1 / 10 $ pour chacun d'eux a aussi pour valeur
l'unit{\'e}. Lorsque la condition pr{\'e}c{\'e}dente
est r{\'e}alis{\'e} par une fraction d{\'e}cimale, nous
dirons que le nombre {\'e}gal {\`a} cette fraction est
{\em simplement normal\/} par rapport {\`a} la base $
10 $. Un nombre simplement normal est done
caract{\'e}ris{\'e} par le fait que, $ c_0, c_1, c_2,
\ldots {}, c_8, c_9 $ d{\'e}signant les nombres
respectifs de fois que figurent les chiffres $ 0, 1, 2,
\ldots {}, 8, 9 $ parmi les $n$ premi{\`e}res
d{\'e}cimales, chacun des rapports: $ c_0 / n, c_1 / n,
c_1 / n, \ldots {}, c_8 / n, c_9 / n $ a pour limite $
1 / 10 $ lorsque $n$ augmente ind{\`e}finiment.'' [The
probability that the total frequency determined by a
number exists and is equal to $ 1 / 10 $ is set to
unity. The likelihood that the frequency of the ten
digits exists and is equal to $ 1 / 10 $ for each value
is also unity. When the condition above is satisfied by
a decimal fraction, we say that the number equal to
this fraction is simply normal to the base $ 10 $. A
simply-normal number is thus characterized by the fact
that, $ c_0, c_1, c_2, \ldots {}, c_8, c_9 $
representing the respective number of times that the
digits $ 0, 1, 2, \ldots {}, 8, 9 $ among the first $n$
decimals, each of the ratios $ c_0 / n, c_1 / n, c_1 /
n, \ldots {}, c_8 / n, c_9 / n $ has the limit $ 1 / 10
$ when $n$ increases without limit.]",
remark-2 = "Submitted from Paris on 3 November 1908.",
}
@Book{Borel:1914:LTF,
author = "{\'E}mile Borel",
title = "Le{\c{c}}ons sur la Th{\'e}orie des Fonctions.
({French}) [{Lectures} on the theory of functions]",
publisher = pub-GAUTHIER-VILLARS,
address = pub-GAUTHIER-VILLARS:adr,
edition = "Second",
pages = "x + 259",
year = "1914",
LCCN = "????",
bibdate = "Wed Dec 21 06:24:41 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
author-dates = "1871--1956",
language = "French",
remark = "First edition 1898. On pages 182--216, this book
introduced the notion of a normal number: roughly, one
whose digits are random. From \cite[page
242]{Kannan:1988:PFN}: ``When are the bits of a real
number random? (The phrase 'the bits of a real number'
will mean the binary expansion of the fractional part
of the number.) The classical definition was provided
by Borel in 1909 \cite{Borel:1909:PDL,Borel:1914:LTF}.
The gist of it follows: Define a real number $a$ to be
normal with respect to the base $2$ if for any natural
number $k$, each of the $ 2^k $ possible $0$--$1$
strings of length $k$ occur with equal probability in
the bits of $a$. A similar definition can be made for
other bases. It was not difficult to show that most
real numbers are normal. It was shown by Champernowne
\cite{Champernowne:1933:CDN} in 1933 that the real
number $ a_0 $ which equals the infinite decimal $
.123456789101112 \ldots {} $ (whose digits are obtained
by juxtaposing the digits of the integers $ 1, 2, 3, 4,
\ldots {} $ ) is normal to the base $ 10 $. Copeland
and Erdos generalized this to any basis and a class of
reals including $ a_0 $ and $ a_1 = 0.2357111317 \ldots
{} $ whose digits are obtained by juxtaposing the
digits of successive primes.''",
}
@Article{Weyl:1916:GZM,
author = "H. Weyl",
title = "{{\"U}ber die Gleichverteilung Zahlen modulo Eins}.
({German}) [{On} the uniform distribution of numbers
modulo one]",
journal = j-MATH-ANN,
volume = "77",
number = "3",
pages = "313--352",
month = sep,
year = "1916",
CODEN = "MAANA3",
DOI = "https://doi.org/10.1007/BF01475864",
ISSN = "0025-5831 (print), 1432-1807 (electronic)",
ISSN-L = "0025-5831",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://resolver.sub.uni-goettingen.de/purl?GDZPPN002266423",
acknowledgement = ack-nhfb,
fjournal = "Mathematische Annalen",
HDnumber = "140",
journal-URL = "http://link.springer.com/journal/208",
language = "German",
}
@Article{Fisher:1922:ICT,
author = "R. A. Fisher",
title = "On the Interpretation of $ \chi^2 $ from Contingency
Tables, and the Calculation of {$P$}",
journal = j-J-R-STAT-SOC,
volume = "85",
number = "1",
pages = "87--94",
month = jan,
year = "1922",
CODEN = "????",
ISSN = "0952-8385",
bibdate = "Mon Jan 16 14:58:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2340521",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society",
journal-URL = "http://www.jstor.org/journals/09528385.html",
}
@Article{Yule:1922:AMA,
author = "G. Udny Yule",
title = "On the application of the $ \chi^2 $ method to
association and contingency tables, with experimental
illustrations",
journal = j-J-R-STAT-SOC,
volume = "85",
number = "1",
pages = "95--104",
month = jan,
year = "1922",
CODEN = "????",
ISSN = "0952-8385",
bibdate = "Mon Jan 16 14:58:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2340522",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society",
journal-URL = "http://www.jstor.org/journals/09528385.html",
}
@Article{Tippett:1925:EIR,
author = "L. H. C. Tippett",
title = "On the Extreme Individuals and the Range of Samples
Taken from a Normal Population",
journal = j-BIOMETRIKA,
volume = "17",
number = "3/4",
pages = "364--387",
month = dec,
year = "1925",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2332087",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 13:38:03 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315377;
https://www.math.utah.edu/pub/tex/bib/biometrika1920.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2332087",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
HDnumber = "122",
journal-URL = "http://www.jstor.org/journals/00063444.html",
}
@Book{Tippett:1927:RSN,
author = "Leonard Henry Caleb Tippett",
title = "Random sampling numbers",
volume = "15",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 26",
year = "1927",
LCCN = "QA47 .T7 no. 15",
bibdate = "Mon Jun 27 13:35:14 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "With a foreword by editor Karl Pearson.",
series = "Tracts for computers",
acknowledgement = ack-nhfb,
HDnumber = "123",
remark = "At head of title: Department of applied statistics
(Computing section) University of London, University
college. At the time, the term `computer' in the series
title referred to a human calculational drudge, using
female.",
subject = "Mathematics; Tables; Sampling (Statistics)",
}
@Article{Yule:1927:RS,
author = "G. Udny Yule",
title = "On Reading a Scale",
journal = j-J-R-STAT-SOC,
volume = "90",
number = "3",
pages = "570--587",
month = "????",
year = "1927",
CODEN = "????",
ISSN = "0952-8385",
bibdate = "Wed Nov 23 12:29:25 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See related later work \cite{Preece:1981:DFD}.",
URL = "http://www.jstor.org/stable/2341205",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society",
journal-URL = "http://www.jstor.org/journals/09528385.html",
remark = "This paper reports on human bias in the recording of
last digits in measurements, or from roundings, or from
later scale conversions.",
}
@Article{Klein:1929:SSD,
author = "O. Klein and T. Nishina",
title = "{{\"U}ber die Streuung von Strahlung durch freie
Elektronen nach der neuen relativistischen
Quantendynamik von Dirac}. ({German}) [{On} the
scattering of radiation by free electrons according to
the new relativistic quantum dynamics of {Dirac}]",
journal = j-Z-PHYSIK,
volume = "52",
number = "11--12",
pages = "853--868",
month = nov,
year = "1929",
CODEN = "ZEPYAA",
DOI = "https://doi.org/10.1007/BF01366453",
ISSN = "0044-3328",
bibdate = "Mon Feb 27 10:09:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "This paper introduces the Klein--Nishina distribution
of random numbes.",
URL = "http://www.springerlink.com/content/p6606272608242k2/",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r Physik}",
journal-URL = "http://link.springer.com/journal/218",
language = "German",
}
@Article{Baker:1930:RSN,
author = "G. A. Baker",
title = "Random sampling from non-homogeneous populations",
journal = j-METRON,
volume = "8",
number = "??",
pages = "67--88",
month = "????",
year = "1930",
CODEN = "MRONAM",
ISSN = "0026-1424 (print), 2281-695X (electronic)",
ISSN-L = "0026-1424",
bibdate = "Mon Jan 16 14:20:14 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/metron1930.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Metron",
}
@Article{Ward:1931:DRS,
author = "Morgan Ward",
title = "The distribution of residues in a sequence satisfying
a linear recursion relation",
journal = j-TRANS-AM-MATH-SOC,
volume = "33",
number = "1",
pages = "166--190",
month = "????",
year = "1931",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1989465",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11A07 (39A10)",
MRnumber = "1501583",
bibdate = "Wed Nov 12 08:28:33 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Trans. AMS",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
remark = "Cited in \cite[page 34]{Reiser:1977:AAR}",
}
@Article{Wilson:1931:DCS,
author = "Edwin B. Wilson and Margaret M. Hilferty",
title = "The distribution of chi-square",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "17",
number = "12",
pages = "684--688",
day = "1",
month = dec,
year = "1931",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.17.12.684",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
bibdate = "Tue Nov 29 09:10:03 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "https://www.pnas.org/doi/abs/10.1073/pnas.17.12.684",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/content/by/year",
}
@Article{Champernowne:1933:CDN,
author = "D. G. Champernowne",
title = "The construction of decimals normal in the scale of
ten",
journal = j-J-LOND-MATH-SOC,
volume = "8",
number = "4",
pages = "254--260",
month = "????",
year = "1933",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-8.4.254",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Wed Dec 21 06:41:42 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
remark = "``Normal numbers'' are those whose digits are random
in some specified base. This paper shows that the
number $ .123456789101112 \ldots {} $ formed by the
juxtaposition of consequence integers is normal in base
ten.",
}
@Article{Glivenko:1933:SDE,
author = "V. I. Glivenko",
title = "Sulla determinazione empirica delle leggi di
probabilit{\`a}. ({Italian}) [{On} the empirical
determination of a probability law]",
journal = "Giornale dell'Istituto Italiano degli Attuari",
volume = "4",
number = "??",
pages = "92--99",
month = "????",
year = "1933",
CODEN = "????",
ISSN = "0390-5780",
bibdate = "Wed Jan 18 08:25:59 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Italian",
}
@Article{Kolmogorov:1933:SDE,
author = "Andrei Nikolaevich Kolmogorov",
title = "Sulla Determinazione Empirica di una Legge di
Distributione. ({Italian}) [{On} the empirical
determination of a distribution law]",
journal = "Giornale dell'Istituto Italiano degli Attuari",
volume = "4",
number = "??",
pages = "83--91",
month = "????",
year = "1933",
CODEN = "????",
ISSN = "0390-5780",
bibdate = "Tue Jan 17 21:35:06 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Italian",
remark = "This paper, together with \cite{Smirnov:1939:OUE}, is
the origin of the Kolmogorov--Smirnov test for goodness
of fit.",
xxpages = "1--11",
}
@Article{Mahalanobis:1934:TRS,
author = "P. C. Mahalanobis",
title = "Tables of random samples from a normal population",
journal = j-SANKHYA-A,
volume = "1",
number = "2--3",
pages = "289--328",
month = may,
year = "1934",
CODEN = "SNKYA5",
ISSN = "0036-4452",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "With the cooperation of Subhendu Sekhar Bose, Prabhat
Ranjan Ray, and Sudhir Kumar Banerji.",
URL = "http://www.jstor.org/stable/40383681",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
HDnumber = "73",
}
@Article{Pearson:1934:NMD,
author = "Karl Pearson",
title = "On a New Method of Determining {``Goodness} of Fit''",
journal = j-BIOMETRIKA,
volume = "26",
number = "4",
pages = "425--442",
month = dec,
year = "1934",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2331988",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 14:32:13 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315388;
https://www.math.utah.edu/pub/tex/bib/biometrika1930.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "According to \cite[page 36]{Teichroew:1965:HDS}, this
paper introduced the $ P_n(\lambda) $ test for
``determining whether a sample of size $n$, supposed to
have been drawn at random from a parent population
having a known probability integral has probably been
drawn at random.'' See \cite{Nair:1938:TRS} for its
first use on random numbers from a uniform
distribution.",
URL = "http://www.jstor.org/stable/2331988",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://www.jstor.org/journals/00063444.html",
}
@Article{Working:1934:RDS,
author = "Holbrook Working",
title = "A random-difference series for use in the analysis of
time series",
journal = j-J-AM-STAT-ASSOC,
volume = "29",
number = "185",
pages = "11--24",
month = mar,
year = "1934",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Jan 16 14:53:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2278456",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
remark = "The random difference series in this paper are derived
from Tippett's random numbers
\cite{Tippett:1927:RSN}.",
}
@Book{Kadyrov:1936:TRN,
author = "M. Kadyrov",
title = "Tables of random numbers",
publisher = "Izdat. Sredne-Aziatkogo Gos. Univ.",
address = "Ta{\v{s}}kent, USSR",
pages = "????",
year = "1936",
LCCN = "????",
bibdate = "Thu Jan 19 07:00:14 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
}
@Article{Kermack:1937:SDA,
author = "W. O. Kermack and A. G. McKendrick",
title = "Some distributions associated with a randomly arranged
set of numbers",
journal = j-PROC-R-SOC-EDINB,
volume = "57",
number = "??",
pages = "332--376",
year = "1937",
CODEN = "PRSEAE",
ISSN = "0080-4541 (print), 2053-5902 (electronic)",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of Edinburgh",
HDnumber = "65",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRE",
}
@Article{Kermack:1937:TRS,
author = "W. O. Kermack and A. G. McKendrick",
title = "Tests for randomness in a series of numerical
observations",
journal = j-PROC-R-SOC-EDINB,
volume = "57",
number = "??",
pages = "228--240",
year = "1937",
CODEN = "PRSEAE",
ISSN = "0080-4541 (print), 2053-5902 (electronic)",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of Edinburgh",
HDnumber = "64",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PRE",
remark = "This paper tests Tippett's random numbers
\cite{Tippett:1927:RSN}.",
}
@Book{Fisher:1938:STB,
author = "Ronald Aylmer Fisher and Frank Yates",
title = "Statistical Tables for Biological, Agricultural and
Medical Research",
publisher = pub-OLIVER-BOYD,
address = pub-OLIVER-BOYD:adr,
pages = "viii + 90 + 1",
year = "1938",
LCCN = "HA33 .F53",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fisher-ronald-aylmer.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (17 February 1890--29 July
1962)",
remark = "First edition; see also 2nd (1943) to 6th (1963)
editions. This book contains one of the early
pre-computer tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc",
xxaddress = "Harlow, Essex, UK",
xxpublisher = "Longman",
}
@Article{Hey:1938:NME,
author = "G. B. Hey",
title = "A New Method of Experimental Sampling Illustrated on
Certain Non-Normal Populations",
journal = j-BIOMETRIKA,
volume = "30",
number = "1/2",
pages = "68--80",
month = jun,
year = "1938",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2332225",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 14:32:18 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315396;
https://www.math.utah.edu/pub/tex/bib/biometrika1930.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2332225",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
remark = "According to \cite[page 37]{Teichroew:1965:HDS}, this
paper was the first to ask the question ``How much
sampling must be done to reduce the error due to
sampling fluctuations?''.",
}
@Article{Kendall:1938:RRS,
author = "M. G. Kendall and B. Babington-Smith",
title = "Randomness and random sampling numbers",
journal = j-J-R-STAT-SOC,
volume = "101",
number = "??",
pages = "147--166",
year = "1938",
CODEN = "????",
ISSN = "0952-8385",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Roy. Stat. Soc.",
fjournal = "Journal of the Royal Statistical Society",
HDnumber = "61",
journal-URL = "http://www.jstor.org/journals/09528385.html",
}
@Article{Lehmer:1938:PSE,
author = "D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {Euclid}'s Algorithm for Large Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "4",
pages = "227--233",
month = apr,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:53 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Nair:1938:TRS,
author = "K. N. Nair",
title = "On {Tippett}'s random sampling numbers",
journal = j-SANKHYA-A,
volume = "4",
number = "1",
pages = "65--72",
year = "1938",
CODEN = "SNKYA5",
ISSN = "0036-4452",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/40383888",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
HDnumber = "89",
}
@Article{Yule:1938:TTR,
author = "G. Udny Yule",
title = "A test of {Tippett}'s random sampling numbers",
journal = j-J-R-STAT-SOC,
volume = "101",
number = "1",
pages = "167--172",
year = "1938",
CODEN = "????",
ISSN = "0952-8385",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2980656",
acknowledgement = ack-nhfb,
ajournal = "J. Roy. Stat. Soc.",
fjournal = "Journal of the Royal Statistical Society",
HDnumber = "142",
journal-URL = "http://www.jstor.org/journals/09528385.html",
}
@Article{Dietze:1939:CCN,
author = "E. Dietze and W. D. {Goodale, Jr.}",
title = "The Computation of the Composite Noise Resulting from
Random Variable Sources",
journal = j-BELL-SYST-TECH-J,
volume = "18",
number = "4",
pages = "605--623",
month = oct,
year = "1939",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:53 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1939/BSTJ.1939.1804.html;
http://www.alcatel-lucent.com/bstj/vol18-1939/bstj-vol18-issue04.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol18/bstj18-4-605.pdf;
http://www.alcatel-lucent.com/bstj/vol18-1939/articles/bstj18-4-605.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Kendall:1939:SPR,
author = "M. G. Kendall and B. Babington-Smith",
title = "Second paper on random sampling numbers",
journal = "J. Roy. Stat. Soc., Supplement",
volume = "6",
number = "1",
pages = "51--61",
month = "????",
year = "1939",
CODEN = "????",
ISSN = "1466-6162",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2983623",
acknowledgement = ack-nhfb,
ajournal = "J. Roy. Stat. Soc., Supplement",
fjournal = "Supplement to the Journal of the Royal Statistical
Society",
HDnumber = "62",
}
@Book{Kendall:1939:TRS,
author = "Maurice G. (Maurice George) Kendall and Bernard
Babington-Smith",
title = "Tables of random sampling numbers",
volume = "24",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "x + 60",
year = "1939",
LCCN = "QA47 .T7 no.24",
bibdate = "Mon Jun 27 15:04:05 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Tracts for Computers",
acknowledgement = ack-nhfb,
author-dates = "1907--1983",
HDnumber = "63",
remark-1 = "On cover: Department of Statistics. University of
London, University College.",
remark-2 = "See \cite{Wold:1948:RND} for a transformation to
normally-distributed random numbers.",
subject = "Sampling (Statistics); Mathematics; Tables",
}
@Article{Mahler:1939:UKK,
author = "Kurt Mahler",
title = "{Ein {\"U}bertragungsprinzip f{\"u}r konvexe
K{\"o}rper}. ({German}) [{A} theorem on transfer for
convex bodies]",
journal = "{\v{C}}asopis pro p{\v{e}}stov{\'a}n{\'\i} matematiky
a fysiky",
volume = "68",
number = "3--4",
pages = "93--102",
month = "????",
year = "1939",
CODEN = "????",
ISSN = "0528-2195",
MRnumber = "MR 0001242",
bibdate = "Mon Dec 26 11:20:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://dml.cz/dmlcz/109441",
ZMnumber = "65.0175.02; 0021.10403",
acknowledgement = ack-nhfb,
ajournal = "{\v{C}}asopis Mat. Fysik., Praha",
language = "German",
remark = "Incompletely cited in \cite{Ripley:1983:LSP} as a
source of part of a proof on lattice hyperplane
spacing.",
xxISSN = "1802-114X",
}
@Article{Smirnov:1939:EDB,
author = "N. Smirnov",
title = "On the estimation of the discrepancy between empirical
curves of distribution for two independent samples",
journal = "Bulletin Math{\'e}matique de l'Universit{\'e} de
{Moscou}, S{\'e}rie internationale 2",
volume = "2",
number = "2",
pages = "1--16",
month = "????",
year = "1939",
CODEN = "????",
ISSN = "????",
MRclass = "62.0X",
MRnumber = "MR0002062 (1,345f)",
bibdate = "Wed Jan 18 08:29:59 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0023.24902",
acknowledgement = ack-nhfb,
fjournal = "Bulletin de l'Universit{\'e} d'{\'e}tat {\'a}
{Moscou}. S{\'e}rie internationale. Section A:
Math{\'e}matiques et m{\'e}canique",
pagecount = "16",
xxauthor = "V. I. Smirnov",
}
@Article{Smirnov:1939:OUE,
author = "N. V. Smirnov",
title = "Ob uklonenijah empiri{\v{c}}eskoi krivoi
raspredelenija. ({Russian}). [Sur les {\'e}carts de la
courbe de distribution empirique. ({French})] [{On}
deviations from the empirical distribution curve]",
journal = "Recueil Math{\'e}matique (Matemati{\v{c}}eski{\u\i}
Sbornik), {N.S.}",
volume = "6",
number = "48",
pages = "3--26",
month = "????",
year = "1939",
CODEN = "MATSAB",
ISSN = "0368-8666",
MRclass = "60.0X",
MRnumber = "MR0001483 (1,246b)",
bibdate = "Tue Jan 17 21:38:41 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Matematicheski{\u\i} sbornik / izdavaemy{\u\i}
Moskovskim matematicheskim obshchestvom = Recueil
math{\'e}matique de la Soci{\'e}t{\'e} math{\'e}matique
de Moscou",
language = "Russian and French",
remark = "This paper, in Russian with a French summary, together
with \cite{Kolmogorov:1933:SDE}, is the origin of the
Kolmogorov--Smirnov test for goodness of fit.",
}
@Article{Vickery:1939:DRS,
author = "C. W. Vickery",
title = "On drawing a random sample from a set of punched
cards",
journal = "J. Roy. Stat. Soc., Supplement",
volume = "6",
number = "1",
pages = "62--66",
year = "1939",
CODEN = "????",
ISSN = "1466-6162",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2983624",
acknowledgement = ack-nhfb,
ajournal = "J. Roy. Stat. Soc., Supplement",
fjournal = "Supplement to the Journal of the Royal Statistical
Society",
HDnumber = "131",
}
@Article{Church:1940:CRS,
author = "A. Church",
title = "On the concept of a random sequence",
journal = j-BULL-AMS,
volume = "46",
number = "??",
pages = "130--135",
month = "????",
year = "1940",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Mon Jan 16 22:55:41 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Kendall:1941:TR,
author = "M. G. Kendall",
title = "A Theory of Randomness",
journal = j-BIOMETRIKA,
volume = "32",
number = "1",
pages = "1--15",
month = jan,
year = "1941",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2332245",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 14:32:23 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315397;
https://www.math.utah.edu/pub/tex/bib/biometrika1940.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2332245",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
}
@Article{Kolmogoroff:1941:CLU,
author = "A. Kolmogoroff",
title = "Confidence limits for an unknown distribution
function",
journal = j-ANN-MATH-STAT,
volume = "12",
number = "4",
pages = "461--463",
month = dec,
year = "1941",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Wed Jan 18 08:22:52 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2235958",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Nair:1941:DSC,
author = "A. N. K. Nair",
title = "Distribution of {Student}'s '$t$' and the correlation
coefficient in samples from non-normal populations",
journal = j-SANKHYA-A,
volume = "5",
number = "??",
pages = "383--400",
month = "????",
year = "1941",
CODEN = "SANABS",
ISSN = "0036-4452",
bibdate = "Mon Jan 16 14:46:35 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
}
@Article{Young:1941:ROS,
author = "L. C. Young",
title = "On randomness in ordered sequences",
journal = j-ANN-MATH-STAT,
volume = "12",
number = "3",
pages = "293--300",
month = sep,
year = "1941",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jan 16 22:55:07 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2235858",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Dodd:1942:CTR,
author = "Edward L. Dodd",
title = "Certain tests for randomness applied to data grouped
into small sets",
journal = j-ECONOMETRICA,
volume = "10",
number = "??",
pages = "249--257",
month = "????",
year = "1942",
CODEN = "ECMTA7",
ISSN = "0012-9682",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Econometrica",
HDnumber = "22",
journal-URL = "http://www.jstor.org/journal/econometrica",
remark = "This paper tests Tippett's random numbers
\cite{Tippett:1927:RSN}.",
}
@Article{Dodd:1942:TTR,
author = "Edward L. Dodd",
title = "A transformation of {Tippett} random sampling numbers
into numbers normally distributed",
journal = "Bolet{\'\i}n de Matem{\'a}ticas",
volume = "15",
number = "??",
pages = "73--77",
month = "????",
year = "1942",
CODEN = "BOMAD4",
ISSN = "0120-0380",
MRclass = "62.0X",
MRnumber = "MR0008668 (5,43b)",
bibdate = "Mon Jan 16 14:22:26 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
xxjournal = "Bolletin Matim{\'a}tico",
}
@Article{Mann:1942:CNC,
author = "H. B. Mann and A. Wald",
title = "On the Choice of the Number of Class Intervals in the
Application of the Chi Square Test",
journal = j-ANN-MATH-STAT,
volume = "13",
number = "3",
pages = "306--317",
month = sep,
year = "1942",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177731569",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Sat May 31 09:10:28 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/annmathstat.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177731569;
http://www.jstor.org/stable/2235942",
ZMnumber = "Zbl 0063.03772",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Peatman:1942:TRN,
author = "J. G. Peatman and R. Shafer",
title = "A table of random numbers from {Selective Service}
numbers",
journal = j-J-PSYCHOL,
volume = "14",
number = "??",
pages = "295--305",
month = "????",
year = "1942",
CODEN = "JOPSAM",
ISSN = "0022-3980 (print), 1940-1019 (electronic)",
ISSN-L = "0022-3980",
bibdate = "Mon Jan 16 14:48:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Psychology",
}
@Article{Rosander:1942:UIT,
author = "A. C. Rosander",
title = "The use of inversions as a test of random order",
journal = j-J-AM-STAT-ASSOC,
volume = "37",
number = "219",
pages = "352--358",
month = sep,
year = "1942",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2279003",
acknowledgement = ack-nhfb,
ajournal = "J. Amer. Stat. Assoc.",
fjournal = "Journal of the American Statistical Association",
HDnumber = "106",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
remark = "This paper tests Tippett's random numbers
\cite{Tippett:1927:RSN}.",
}
@Book{Fisher:1943:STB,
author = "Sir Ronald Aylmer Fisher and Frank Yates",
title = "Statistical tables for biological, agricultural, and
medical research",
publisher = pub-OLIVER-BOYD,
address = pub-OLIVER-BOYD:adr,
edition = "Second",
pages = "98",
year = "1943",
LCCN = "HA33 .F53 1943",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (1890--1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc",
}
@Article{Forsythe:1943:CSI,
author = "G. E. Forsythe",
title = "{Ces{\`a}ro} summability of independent random
variables",
journal = j-DUKE-MATH-J,
volume = "10",
number = "??",
pages = "397--428",
year = "1943",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-43-01034-8",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibdate = "Tue Nov 22 09:08:17 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077471948",
ZMnumber = "0063.01410",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Gage:1943:CTR,
author = "Robert Gage",
title = "Contents of {Tippett}'s {``Random Sampling
Numbers''}",
journal = j-J-AM-STAT-ASSOC,
volume = "38",
number = "222",
pages = "223--227",
month = jun,
year = "1943",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 06:10:35 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314101;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2279542",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
HDnumber = "32",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
remark = "This paper tests Tippett's random numbers
\cite{Tippett:1927:RSN}.",
}
@Article{Swed:1943:TTR,
author = "Frieda S. Swed and C. Eisenhart",
title = "Tables for testing randomness of grouping in a
sequence of alternatives",
journal = j-ANN-MATH-STAT,
volume = "14",
number = "1",
pages = "66--87",
month = mar,
year = "1943",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177731494;
http://www.jstor.org/stable/2236004",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "117",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Wald:1943:ETR,
author = "A. Wald and J. Wolfowitz",
title = "An exact test for randomness in the non-parametric
case, based on serial correlation",
journal = j-ANN-MATH-STAT,
volume = "14",
number = "4",
pages = "378--388",
month = dec,
year = "1943",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jan 16 22:54:15 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2235925",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Dixon:1944:FCP,
author = "W. J. Dixon",
title = "Further Contributions to the Problem of Serial
Correlation",
journal = j-ANN-MATH-STAT,
volume = "15",
number = "2",
pages = "119--144",
month = jun,
year = "1944",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Tue Jan 31 12:08:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236194",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Levene:1944:CMR,
author = "H. Levene and J. Wolfowitz",
title = "The covariance matrix of runs up and down",
journal = j-ANN-MATH-STAT,
volume = "15",
number = "1",
pages = "58--69",
month = mar,
year = "1944",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177731314",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177731314;
http://www.jstor.org/stable/2236211",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "70",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Onsager:1944:CST,
author = "Lars Onsager",
title = "Crystal Statistics. {I}. {A} Two-Dimensional Model
with an Order-Disorder Transition",
journal = j-PHYS-REV,
volume = "65",
number = "3--4",
pages = "117--149",
month = feb,
year = "1944",
CODEN = "PHRVAO",
DOI = "https://doi.org/10.1103/PhysRev.65.117",
ISSN = "0031-899X (print), 1536-6065 (electronic)",
ISSN-L = "0031-899X",
bibdate = "Thu Feb 16 18:18:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.aps.org/doi/10.1103/PhysRev.65.117",
acknowledgement = ack-nhfb,
fjournal = "Physical Review",
journal-URL = "http://pra.aps.org/browse",
remark = "This is the famous paper in which Osager (winner of
the 1968 Nobel Prize in Chemistry) derives an exact
solution for the two-dimensional Ising lattice, a
problem that is often used in testing of random-number
generators for use in Monte Carlo simulations in
physics.",
}
@Article{Rice:1944:MAR,
author = "S. O. Rice",
title = "Mathematical Analysis of Random Noise",
journal = j-BELL-SYST-TECH-J,
volume = "23",
number = "3",
pages = "282--332",
month = jul,
year = "1944",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "60.0X",
MRnumber = "0010932 (6,89b)",
MRreviewer = "M. Kac",
bibdate = "Tue Nov 9 11:15:53 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1944/BSTJ.1944.2303.html;
http://www.alcatel-lucent.com/bstj/vol23-1944/bstj-vol23-issue03.html;
https://www.math.utah.edu/pub/tex/bib/bstj1940.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol23/bstj23-3-282.pdf;
http://www.alcatel-lucent.com/bstj/vol23-1944/articles/bstj23-3-282.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Wolfowitz:1944:ADR,
author = "J. Wolfowitz",
title = "Asymptotic distribution of runs up and down",
journal = j-ANN-MATH-STAT,
volume = "15",
number = "2",
pages = "163--172",
month = jun,
year = "1944",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jan 16 22:53:44 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236196",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Rice:1945:MAR,
author = "S. O. Rice",
title = "Mathematical Analysis of Random Noise",
journal = j-BELL-SYST-TECH-J,
volume = "24",
number = "1",
pages = "46--156",
month = jan,
year = "1945",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "60.0X",
MRnumber = "0011918 (6,233i)",
MRreviewer = "M. Kac",
bibdate = "Tue Nov 9 11:15:54 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1945/BSTJ.1945.2401.html;
http://www.alcatel-lucent.com/bstj/vol24-1945/bstj-vol24-issue01.html;
https://www.math.utah.edu/pub/tex/bib/bstj1940.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol24/bstj24-1-46.pdf;
http://www.alcatel-lucent.com/bstj/vol24-1945/articles/bstj24-1-46.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Copeland:1946:NNN,
author = "A. H. Copeland and P. Erd{\H{o}}s",
title = "Note on normal numbers",
journal = j-BULL-AMS,
volume = "52",
number = "??",
pages = "857--860",
month = "????",
year = "1946",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Wed Dec 21 06:39:20 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
remark = "``Normal numbers'' are those whose digits are random
in some specified base.",
}
@Article{Olmstead:1946:DSA,
author = "P. S. Olmstead",
title = "Distribution of sample arrangements for runs up and
down",
journal = j-ANN-MATH-STAT,
volume = "17",
number = "1",
pages = "24--33",
month = mar,
year = "1946",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jan 16 22:52:52 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2235901",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Forsythe:1947:NSR,
author = "George E. Forsythe",
title = "On {N{\"o}rlund} summability of random variables to
zero",
journal = j-BULL-AMS,
volume = "53",
number = "??",
pages = "302--313",
year = "1947",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
MRclass = "60.0X",
MRnumber = "MR0020738 (8,591b)",
MRreviewer = "M. Kac",
bibdate = "Tue Nov 22 09:08:17 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.bams/1183510599",
ZMnumber = "0037.08105",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
keywords = "Probability theory",
}
@Article{Moran:1947:RDI,
author = "P. A. P. Moran",
title = "The random division of an interval",
journal = "J. Roy. Stat. Soc., Supplement",
volume = "9",
number = "??",
pages = "92--98",
month = "????",
year = "1947",
ISSN = "1466-6162",
bibdate = "Wed Feb 08 19:06:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Ulam:1947:CSD,
author = "S. M. Ulam and John von Neumann",
title = "On combinations of stochastic and deterministic
processes",
journal = j-BULL-AMS,
volume = "53",
number = "11",
pages = "1120--1120",
month = nov,
year = "1947",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Mon Jun 06 19:17:03 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/nld.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "The abstract notes ``\ldots{} starting with almost
every $ x_1 $ (in the sense of Lebesgue measure) and
{\em iterating\/} the function $ f(x) = 4 \cdot (1 - x)
$ one obtains a sequence of numbers on $ (0, 1) $ with
a computable algebraic distribution. By playing
suitable games with numbers `drawn' in this fashion,
one can obtain various other distributions, either
given explicitly or satisfying given differential or
integral equations.''",
URL = "http://www.ams.org/journals/bull/1947-53-11/S0002-9904-1947-08918-7/S0002-9904-1947-08918-7.pdf",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
keywords = "logistic map, deterministic model, stochastic model",
received = "3 September 1947",
remark = "One-paragraph abstract.",
}
@TechReport{Brown:1948:STR,
author = "Bernice Brown",
title = "Some Tests of the Randomness of a Million Digits",
type = "Report",
number = "RAND RAOP-44",
institution = "RAND Corporation",
address = "Santa Monica, CA, USA",
pages = "????",
year = "1948",
bibdate = "Tue Sep 20 07:20:22 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
remark = "This report is about the RAND million-random-digit
corpus.",
}
@Article{Feller:1948:KSL,
author = "W. Feller",
title = "On {the Kolmogorov--Smirnov} limit theorems for
empirical distributions",
journal = j-ANN-MATH-STAT,
volume = "19",
number = "2",
pages = "177--189",
month = jun,
year = "1948",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Wed Jan 18 08:58:13 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236265",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Hamaker:1948:RFE,
author = "H. C. Hamaker",
title = "Random frequencies, expedient for the construction of
artificial samples of large size",
journal = "Statistica Rijswijk",
volume = "2",
number = "??",
pages = "129--137",
month = "????",
year = "1948",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jan 16 14:27:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
xxnote = "I cannot find this journal in any of dozens of library
catalogs.",
}
@Article{Hamaker:1948:RSN,
author = "H. C. Hamaker",
title = "Random sampling numbers",
journal = "Statistica Rijswijk",
volume = "2",
number = "??",
pages = "97--106",
month = "????",
year = "1948",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jan 16 14:27:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
xxnote = "I cannot find this journal in any of dozens of library
catalogs.",
}
@Article{Horton:1948:MOR,
author = "H. Burke Horton",
title = "A method for obtaining random numbers",
journal = j-ANN-MATH-STAT,
volume = "19",
number = "1",
pages = "81--85",
month = mar,
year = "1948",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177730294",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Sat Sep 17 10:12:03 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236060",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "52",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Book{Ore:1948:NTH,
author = "{\O}ystein {\O}re",
title = "Number theory and its history",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "x + 370",
year = "1948",
LCCN = "QA241 .O7",
bibdate = "Mon Jun 27 15:30:25 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "1899--1968",
HDnumber = "92",
subject = "Number theory; Mathematics; History",
}
@Article{Smirnov:1948:TEG,
author = "N. Smirnov",
title = "Tables for Estimating the Goodness of Fit of Empirical
Distributions",
journal = j-ANN-MATH-STAT,
volume = "19",
number = "2",
pages = "279--281",
month = jun,
year = "1948",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "62.0X",
MRnumber = "MR0025109 (9,599j)",
bibdate = "Tue Jan 17 21:52:06 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236278",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
remark = "Reproduction of tables from \cite{Smirnov:1939:EDB}.",
}
@Book{Wold:1948:RND,
author = "Herman O. A. Wold and Maurice G. (Maurice George)
Kendall",
title = "Random normal deviates: 25,000 items compiled from
Tract no. {XXIV} {(M. G. Kendall and B.
Babington-Smith's Tables of random sampling numbers)}",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiii + 51",
year = "1948",
LCCN = "QA47 .T7 no.25",
bibdate = "Mon Jun 27 16:30:11 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
library.ox.ac.uk:210/ADVANCE",
note = "See \cite{Kendall:1939:TRS}.",
acknowledgement = ack-nhfb,
author-dates = "Herman O. A. Wold (1908--1992); Maurice G. (Maurice
George) Kendall (1907--1983)",
HDnumber = "141",
subject = "Sampling (Statistics); Mathematics; Tables",
}
@TechReport{Brown:1949:HRR,
author = "George W. Brown",
title = "History of {RAND}'s random digits---summary",
type = "Report",
number = "P-113",
institution = "RAND Corporation",
address = "Santa Monica, CA, USA",
pages = "6",
month = jun,
year = "1949",
bibdate = "Tue Sep 20 07:57:17 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.rand.org/pubs/papers/2008/P113.pdf",
acknowledgement = ack-nhfb,
remark = "This report describes how the RAND corpus of a million
random digits \cite{RAND:1955:MRD} was initially
produced from an electronic simulation of a roulette
wheel. When chi-squared tests suggested a slight lack
of randomness, the 20,000 punched cards, each with 50
random decimal digits, were reprocessed. From page 4 of
the original technical report: ``We added (mod 10) the
digits in each card, digit by digit, to the
corresponding digits of the previous card. The derived
table of one million digits was then subjected to the
various standard tests, frequency tests, serial tests,
poker tests, etc. These million digits have a clean
bill of health and have been adopted as RAND's table of
random digits.''",
}
@Article{Doob:1949:HAK,
author = "J. L. Doob",
title = "Heuristic Approach to the {Kolmogorov--Smirnov}
Theorems",
journal = j-ANN-MATH-STAT,
volume = "20",
number = "3",
pages = "393--403",
month = sep,
year = "1949",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Tue Jan 17 21:51:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236535",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Book{Fisher:1949:STB,
author = "Sir Ronald Aylmer Fisher and Frank Yates",
title = "Statistical tables for biological, agricultural, and
medical research",
publisher = "Hafner Pub. Co.",
address = "New York",
edition = "Third",
pages = "viii + 112",
year = "1949",
LCCN = "HA33 .F53 1949",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (1890--1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc",
}
@Article{Hamaker:1949:RSF,
author = "H. C. Hamaker",
title = "Random sampling frequencies: an implement for rapidly
constructing large-size artificial samples",
journal = "Proceedings of the Koninklijke Nederlandse Akademie
van Wetenschappen",
volume = "52",
number = "??",
pages = "432--439",
month = "????",
year = "1949",
CODEN = "PKNAAU",
ISSN = "0370-0348",
bibdate = "Mon Jan 16 14:30:51 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Hamaker:1949:STP,
author = "H. C. Hamaker",
title = "A simple technique for producing random sampling
numbers",
journal = "Proceedings of the Koninklijke Nederlandse Akademie
van Wetenschappen",
volume = "52",
number = "??",
pages = "145--150",
year = "1949",
CODEN = "PKNAAU",
ISSN = "0370-0348",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Nederl. Akad. Wetensch. Proc.",
HDnumber = "48",
}
@Article{Horton:1949:DMP,
author = "H. Burke Horton and R. Tynes {Smith III}",
title = "A direct method for producing random digits in any
number system",
journal = j-ANN-MATH-STAT,
volume = "20",
number = "1",
pages = "82--90",
month = mar,
year = "1949",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177730092",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236805",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "53",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@TechReport{Mauchly:1949:PRN,
author = "J. W. Mauchly",
title = "Pseudo-random numbers",
type = "Report",
number = "??",
institution = "Eckert-Mauchly Computer Corporation",
address = "????",
year = "1949",
bibdate = "Mon Jun 27 15:21:18 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "81",
}
@Article{Metropolis:1949:MCM,
author = "Nicholas Metropolis and S. Ulam",
title = "The {Monte Carlo} method",
journal = j-J-AM-STAT-ASSOC,
volume = "44",
number = "247",
pages = "335--341",
month = sep,
year = "1949",
CODEN = "JSTNAL",
DOI = "https://doi.org/10.2307/2280232",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
MRclass = "65.0X",
MRnumber = "MR0031341 (11,138c)",
MRreviewer = "J. L. Doob",
bibdate = "Tue Nov 5 08:02:08 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2280232",
ZMnumber = "0033.28807",
acknowledgement = ack-nhfb,
annote = "This is one of the earliest published articles on the
Monte Carlo method; see \cite{Hurd:1985:NEM}.",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
keywords = "ENIAC; probability theory",
}
@Book{Stevens:1949:TRD,
author = "W. H. S. Stevens",
title = "Table of 105,000 random decimal digits",
volume = "4914",
publisher = "Interstate Commerce Commission",
address = "Washington, DC, USA",
year = "1949",
LCCN = "QA276.5 .U5 1949",
bibdate = "Sat Jan 7 12:05:57 MST 2012",
bibsource = "catalog.princeton.edu:7090/voyager;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
subject = "sampling (statistics); statistics; graphic methods",
}
@Article{Walsh:1949:CCR,
author = "John E. Walsh",
title = "Concerning compound randomization in the binary
system",
journal = j-ANN-MATH-STAT,
volume = "20",
number = "4",
pages = "580--589",
month = dec,
year = "1949",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177729950",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177729950;
http://www.jstor.org/stable/2236313",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "137",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@InProceedings{Eisenhart:1950:RDD,
author = "C. Eisenhart and L. S. Deming",
booktitle = "{National Bureau of Standards Seminar, February 17,
Washington, DC}",
title = "On the randomness of the digits of $ \pi $ and $e$ to
2000 decimal places",
publisher = "????",
address = "????",
pages = "??--??",
year = "1950",
bibdate = "Mon Jan 16 14:24:10 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/pi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Book{Good:1950:PWE,
author = "Irving John Good",
title = "Probability and the weighing of evidence",
publisher = "C. Griffin",
address = "London, UK",
pages = "viii + 119",
year = "1950",
LCCN = "QA273 .G65",
bibdate = "Sat Jan 7 11:03:33 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "From \cite[page 43]{Good:1969:HRR}, the author
reports: ``If two random sequences are thus combined
[by adding modulo a small number] the result will be
flatter than either of them, so the device is useful
for improving the quality of random digits. The theory
behind this remark was submitted by the writer in 1946
to the Proc. Cambridge Phil. Soc. It was rejected on
the grounds that the device of adding digits in order
to make them more random was useless since `there are
other and more satisfactory methods of producing random
numbers'. This `useless' idea has since been used by
RAND, as mentioned above, and by ERNIE, by SWAC [9],
etcetera, etcetera, etcetera. Referees are fallible
like people. The theory was published as an exercise in
\cite[page 58]{Good:1950:PWE}\ldots{}''.",
subject = "Probabilities",
tableofcontents = "Theories of probability \\
The origin of the axioms \\
The abstract theory \\
The theory and technique of probability \\
Probability distributions \\
Weighing evidence \\
Statistics and probability \\
Appendices: I. The error function \\
II. Dirichlet's multiple integral \\
III. On the conventionality of the addition and product
laws",
}
@Article{Gruenberger:1950:TRD,
author = "Fred Gruenberger",
title = "Tests of random digits",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "4",
number = "32",
pages = "244--245",
year = "1950",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "45",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Kac:1950:DMP,
author = "Mark Kac and Harry Pollard",
title = "The distribution of the maximum of partial sums of
independent random variables",
journal = j-CAN-J-MATH,
volume = "2",
number = "??",
pages = "375--384",
month = "????",
year = "1950",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1950-034-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "60.0X",
MRnumber = "0036465 (12,114b)",
MRreviewer = "M. Lo{\`e}ve",
bibdate = "Sat Sep 10 15:38:24 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v2/;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Korobov:1950:SQU,
author = "N. M. Korobov",
title = "On some questions of uniform distribution",
journal = "Izv. Akad. Nauk SSSR",
volume = "14",
number = "3",
pages = "215--238",
month = "????",
year = "1950",
CODEN = "????",
ISSN = "????",
bibdate = "Wed Jan 18 11:04:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
}
@Article{Massey:1950:NED,
author = "Frank J. {Massey, Jr.}",
title = "A Note on the Estimation of a Distribution Function by
Confidence Limits",
journal = j-ANN-MATH-STAT,
volume = "21",
number = "1",
pages = "116--119",
month = mar,
year = "1950",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177729891",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Sat May 31 09:10:40 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/annmathstat.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177729891;
http://www.jstor.org/stable/2236559",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
remark = "This paper contains a practical algorithm for
computing the Kolmogorov--Smirnov probabilities for
small sample sizes.",
}
@Article{Metropolis:1950:STV,
author = "N. C. Metropolis and G. Reitwiesner and J. von
Neumann",
title = "Statistical treatment of values of first $ 2, 000 $
decimal digits of {$e$} and of {$ \pi $} calculated on
the {ENIAC}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "4",
number = "30",
pages = "109--111",
year = "1950",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "MR0037598 (12,286j)",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Mon Jun 06 19:17:03 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
abstract = "From the article: ``The first 2,000 decimal digits of
$e$ and $ \pi $ were calculated on the ENIAC by Mr. G.
Reitwiesner and several members of the ENIAC Branch of
the Ballistic Research Laboratories at Aberdeen,
Maryland \cite{Reitwiesner:1950:EDM}. A statistical
survey of this material has failed to disclose an
significant deviations from randomness for $ \pi $, but
it has indicated quite serious ones for $e$.''",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "Footnote to title: ``Both $e$ and $ 1 / e $ were
computed somewhat beyond 2500\,D and the results
checked by actual multiplication.''",
}
@Article{Williams:1950:CNW,
author = "C. Arthur {Williams, Jr.}",
title = "On the Choice of the Number and Width of Classes for
the Chi-square Test for Goodness of Fit",
journal = j-J-AM-STAT-ASSOC,
volume = "45",
number = "249",
pages = "77--86",
month = mar,
year = "1950",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Tue Jan 17 21:54:47 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2280429",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@InCollection{Brown:1951:HRR,
author = "George W. Brown",
title = "History of {RAND}'s random digits---summary",
crossref = "Householder:1951:MCM",
pages = "31--32",
year = "1951",
bibdate = "Mon Jun 27 12:18:42 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "9",
}
@TechReport{Cameron:1951:MCE,
author = "J. M. Cameron",
title = "{Monte Carlo} experiments on {SEAC}",
type = "Working Paper",
number = "SEL-52-5",
institution = pub-NBS,
address = pub-NBS:adr,
pages = "??",
day = "27",
month = oct,
year = "1951",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "13",
}
@Article{Forsythe:1951:GTRa,
author = "George E. Forsythe",
title = "Generation and testing of random digits at the
{National Bureau of Standards, Los Angeles}",
journal = j-APPL-MATH-SER-NBS,
volume = "12",
number = "??",
pages = "34--35",
month = "????",
year = "1951",
CODEN = "????",
ISSN = "1049-4685",
bibdate = "Wed Jul 01 11:00:59 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied mathematics series / National Bureau of
Standards",
HDnumber = "30",
}
@Article{Forsythe:1951:GTRb,
author = "George E. Forsythe",
title = "Generation and testing of 1,217,370 `random' binary
digits on the {SWAC}",
journal = j-BULL-AMS,
volume = "57",
number = "??",
pages = "304--304",
month = "????",
year = "1951",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Mon Jun 27 13:41:27 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Abstract only.",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
HDnumber = "29",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Gruenberger:1951:TRD,
author = "Fred Gruenberger and A. M. Mark",
title = "The $ d^2 $ test of random digits",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "??",
pages = "109--110",
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "46",
journal-URL = "http://www.ams.org/mcom/",
}
@InCollection{Hammer:1951:MSM,
author = "Preston C. Hammer",
booktitle = "{Monte Carlo} Method",
title = "The mid-square method of generating digits",
crossref = "Householder:1951:MCM",
pages = "33--33",
year = "1951",
bibdate = "Mon Jun 27 12:18:42 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "49",
}
@Article{Kahn:1951:EPT,
author = "Herman Kahn and T. E. Harris",
title = "9. Estimation of particle transmission by random
sampling",
journal = "Journal of Research of the National Bureau of
Standards. Applied Mathematics Series",
volume = "12",
number = "??",
pages = "27--30",
year = "1951",
CODEN = "????",
ISSN = "????",
bibdate = "Wed Oct 02 17:53:08 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "https://dornsifecms.usc.edu/assets/sites/520/docs/kahnharris.pdf",
acknowledgement = ack-nhfb,
ajournal = "J. Research Nat. Bur. Stand., Appl. Math. Series",
}
@InProceedings{Lehmer:1951:MML,
author = "D. H. Lehmer",
title = "Mathematical methods in large-scale computing units",
crossref = "Anonymous:1951:PSS",
pages = "141--146",
year = "1951",
MRclass = "65.0X",
MRnumber = "0044899 (13,495f)",
MRreviewer = "R. Hamming",
bibdate = "Tue Dec 21 16:17:16 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The aim of this paper is to discuss in a general way
certain features of the mathematics that are
characteristic of the large scale digital computing
machines. Special attention is given to the problem of
generating random numbers. The author's proposal for
generating a sequence of ``random'' 8 decimal numbers $
u_n $ is to start with some number $ u_0 \neq 0 $,
multiply it by 23, and subtract the two digit overflow
on the left from the two right hand digits to obtain a
new number $ u_1 $. By repeating this process he
generates a sequence $ u_n $ which he shows has a
repetition period of 5,882,352. An IBM 602A was used to
generate 5000 numbers of such a sequence. Four standard
tests (unspecified) were applied to check the
``randomness'' and the sequence passed all four. The
author observes, however, that all of the members of
the sequence he chose were divisible by 17.",
acknowledgement = ack-nhfb,
HDnumber = "67",
xxauthor = "D. H. (Derrick Henry) Lehmer",
}
@PhdThesis{Marsaglia:1951:SPC,
author = "George Marsaglia",
title = "Stochastic Processes and Classes of Random Variables",
type = "{Ph.D.} thesis",
school = "The Ohio State University",
address = "Columbus, OH, USA",
pages = "46",
year = "1951",
bibdate = "Wed Jun 22 07:10:43 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ezproxy.lib.utah.edu/docview/302068737?accountid=14677",
acknowledgement = ack-nhfb,
}
@Article{Massey:1951:KST,
author = "Frank J. {Massey, Jr.}",
title = "The {Kolmogorov--Smirnov} test for goodness of fit",
journal = j-J-AM-STAT-ASSOC,
volume = "46",
number = "253",
pages = "68--78",
month = mar,
year = "1951",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Jan 16 14:40:03 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314132;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2280095",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@TechReport{Richtmyer:1951:EDI,
author = "R. D. Richtmyer",
title = "The evaluation of definite integrals, and a
{Quasi-Monte-Carlo} method based on the properties of
algebraic numbers",
type = "Report",
number = "LA-1342",
institution = "Los Alamos Scientific Laboratory",
address = "Los Alamos, NM, USA",
year = "1951",
bibdate = "Mon Jun 27 15:40:02 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "102",
}
@InProceedings{vonNeumann:1951:VTU,
author = "John von Neumann",
title = "13. {Various} techniques used in connection with
random digits",
crossref = "Householder:1951:MCM",
pages = "36--38",
year = "1951",
bibdate = "Tue Jun 07 16:15:00 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Summary written by G. E. Forsythe. Reprinted in
\cite[Paper 23, pp. 768--770]{Taub:1963:JNCa}.",
URL = "https://dornsifecms.usc.edu/assets/sites/520/docs/VonNeumann-ams12p36-38.pdf",
acknowledgement = ack-nhfb,
HDnumber = "133",
remark = "Anyone who considers arithmetical methods of producing
random digits is, of course, in a state of sin. [via
enews]",
}
@Article{Votaw:1951:HSS,
author = "D. F. {Votaw, Jr.} and J. A. Rafferty",
title = "High Speed Sampling",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "33",
pages = "1--8",
month = jan,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "134",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Anderson:1952:ATC,
author = "T. W. Anderson and D. A. Darling",
title = "Asymptotic theory of certain `goodness of fit'
criteria based on stochastic processes",
journal = j-ANN-MATH-STAT,
volume = "23",
number = "2",
pages = "193--212",
month = jun,
year = "1952",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177729437",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "62.0X",
MRnumber = "0050238 (14,298h)",
MRreviewer = "R. Fortet",
bibdate = "Sat May 31 09:10:44 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/annmathstat.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177729437;
http://www.jstor.org/stable/2236446",
abstract = "The statistical problem treated is that of testing the
hypothesis that $n$ independent, identically
distributed random variables have a specified
continuous distribution function $ F(x) $.",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Anonymous:1952:RD,
author = "Anonymous",
title = "Random Digits (1--6000)",
journal = j-J-AM-STAT-ASSOC,
volume = "47",
number = "260",
pages = "710--714",
month = dec,
year = "1952",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314139;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2280798",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Cameron:1952:RST,
author = "J. M. Cameron",
title = "Results of some tests of randomness on pseudo-random
on numbers (preliminary report)",
journal = j-ANN-MATH-STAT,
volume = "23",
number = "1",
pages = "138--138",
month = mar,
year = "1952",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Abstract only.",
URL = "http://www.jstor.org/stable/2236409",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "14",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
remark = "One-paragraph comment on the analysis of random
numbers produced on the SEAC by Olga Taussky-Todd.",
}
@Article{Goodman:1952:EPSa,
author = "A. W. Goodman and W. M. Zaring",
title = "Elementary Problems and Solutions: Solutions:
{Euclid}'s Algorithm and the Least-Remainder
Algorithm",
journal = j-AMER-MATH-MONTHLY,
volume = "59",
number = "3",
pages = "156--159",
month = mar,
year = "1952",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:38 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/2308186",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ore:1952:GCR,
author = "{\O}ystein {\O}re",
title = "The General {Chinese} Remainder Theorem",
journal = j-AMER-MATH-MONTHLY,
volume = "59",
number = "6",
pages = "365--370",
month = jun # "\slash " # jul,
year = "1952",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:45 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Book{Tippett:1952:RSN,
author = "Leonard Henry Caleb Tippett",
title = "Random sampling numbers",
volume = "15",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 26",
year = "1952",
LCCN = "QA47 .T7 no. 15",
bibdate = "Mon Jun 27 13:35:14 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "With a foreword by editor Karl Pearson.",
series = "Tracts for computers",
acknowledgement = ack-nhfb,
HDnumber = "123",
remark = "This is a reprint of \cite{Tippett:1927:RSN}.",
subject = "Mathematics; Tables; Sampling (Statistics)",
}
@Article{Anonymous:1953:RDa,
author = "Anonymous",
title = "Random Digits (6001--6100)",
journal = j-J-AM-STAT-ASSOC,
volume = "48",
number = "261",
pages = "167--167",
month = mar,
year = "1953",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314140;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2280898",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Anonymous:1953:RDb,
author = "Anonymous",
title = "Random Digits (6501--6875)",
journal = j-J-AM-STAT-ASSOC,
volume = "48",
number = "262",
pages = "383--383",
month = jun,
year = "1953",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314141;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281306",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Anonymous:1953:RDc,
author = "Anonymous",
title = "Random Digits (6876--8125)",
journal = j-J-AM-STAT-ASSOC,
volume = "48",
number = "263",
pages = "672--672",
month = sep,
year = "1953",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314142;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281029",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Anonymous:1953:RDd,
author = "Anonymous",
title = "Random Digits (9001--13,750)",
journal = j-J-AM-STAT-ASSOC,
volume = "48",
number = "264",
pages = "931--934",
month = dec,
year = "1953",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314143;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281094",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Curtiss:1953:MCM,
author = "J. H. Curtiss",
title = "{``Monte Carlo''} methods for the iteration of linear
operators",
journal = j-J-MATH-PHYS,
volume = "32",
number = "??",
pages = "209--232",
month = "????",
year = "1953",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
HDnumber = "20",
journal-URL = "http://jmp.aip.org/",
}
@TechReport{Duparc:1953:RSI,
author = "H. J. A. Duparc and C. G. Lekkerkerker and W.
Peremans",
title = "Reduced sequences of integers and pseudo-random
numbers",
type = "Report",
number = "ZW 1953-002",
institution = "Mathematisch Centrum",
address = "Amsterdam, The Netherlands",
year = "1953",
bibdate = "Mon Jun 27 13:30:34 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "23",
}
@Book{Fisher:1953:STBa,
author = "Sir Ronald Aylmer Fisher and Frank Yates",
title = "Statistical tables for biological, agricultural and
medical research",
publisher = pub-OLIVER-BOYD,
address = pub-OLIVER-BOYD:adr,
edition = "Fourth",
pages = "xi + 126",
year = "1953",
LCCN = "QA276 .F498 1953a",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (1890--1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc; Mathematical
statistics",
}
@Book{Fisher:1953:STBb,
author = "Sir Ronald Aylmer Fisher and Frank Yates",
title = "Statistical tables for biological, agricultural, and
medical research",
publisher = "Hafner Pub. Co.",
address = "New York, NY, USA",
edition = "Fourth",
pages = "126",
year = "1953",
LCCN = "QA276 .F498 1953",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (1890--1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc; Mathematical
statistics",
}
@TechReport{Gilbert:1953:QRB,
author = "E. N. Gilbert",
title = "Quasi-random binary sequences",
type = "Report",
number = "MM-53-1400-42",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
day = "27",
month = nov,
year = "1953",
bibdate = "Mon Jun 27 14:22:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "33",
}
@Article{Good:1953:STS,
author = "I. J. Good",
title = "The serial test for sampling numbers and other tests
for randomness",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "49",
number = "??",
pages = "276--284",
year = "1953",
CODEN = "PCPSA4",
ISSN = "0008-1981",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Cambridge Philosophical Society.
Mathematical and physical sciences",
HDnumber = "38",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@TechReport{Juncosa:1953:RNG,
author = "M. L. Juncosa",
title = "Random number generation on the {BRL} high-speed
computing machines",
type = "Report",
number = "855",
institution = "Ballistic Research Laboratories",
address = "Aberdeen Proving Ground, MD, USA",
year = "1953",
bibdate = "Mon Jun 27 14:57:13 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "58",
}
@Article{Metropolis:1953:ESC,
author = "Nicholas Metropolis and Arianna W. Rosenbluth and
Marshall N. Rosenbluth and Augusta H. Teller and Edward
Teller",
title = "Equation of State Calculations by Fast Computing
Machines",
journal = j-J-CHEM-PHYS,
volume = "21",
number = "6",
pages = "1087--1092",
month = jun,
year = "1953",
CODEN = "JCPSA6",
DOI = "https://doi.org/10.1063/1.1699114",
ISSN = "0021-9606 (print), 1089-7690 (electronic)",
ISSN-L = "0021-9606",
bibdate = "Thu Oct 6 14:28:25 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "This article introduces the Metropolis algorithm,
which the journal {\em Computing in Science and
Engineering\/} cited in the top 10 algorithms having
the ``greatest influence on the development and
practice of science and engineering in the 20th
Century.'' See \cite{Balazs:2000:ONC,Beichl:2000:MA},
and the Hasting--Metropolis generalization in
\cite{Hastings:1970:MCS}. See also
\cite{Barker:1965:MCC,Peskun:1973:OMC,Hitchcock:2003:HMH}.",
URL = "http://link.aip.org/link/doi/10.1063/1.1699114;
http://pubs.acs.org/cgi-bin/chemport/version=1.0&coi=1:CAS:528:DyaG3sXltlKhsw%253D%253D&pissn=0095-2338&pyear=2005&&md5=2eba6ee7d50b361b924c3ff8efeda4b1",
abstract = "A general method, suitable for fast computing
machines, for investigating such properties as
equations of state for substances consisting of
interacting individual molecules is described. The
method consists of a modified Monte Carlo integration
over configuration space. Results for the 2-D rigid
sphere system have been obtained on the Los Alamos
MANIAC and are presented here. These results are
compared to the free volume equation of state and to
the four-term virial coefficient expansion.",
acknowledgement = ack-nhfb,
author-dates = "Edward Teller (1908--2003)",
fjournal = "Journal of Chemical Physics",
journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse",
keywords = "Gibbs sampling; jrnl; Metropolis algorithm; Monte
Carlo integration; Monte Carlo process; simulated
annealing; stochastic search",
LSnumber = "85",
}
@Article{Moore:1953:STR,
author = "P. G. Moore",
title = "A Sequential Test for Randomness",
journal = j-BIOMETRIKA,
volume = "40",
number = "1/2",
pages = "111--115",
month = jun,
year = "1953",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2333102",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "62.0X",
MRnumber = "0055641 (14,1104a)",
MRreviewer = "J. Kiefer",
bibdate = "Sat Jun 21 14:32:41 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315420;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2333102",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
}
@Article{Peck:1953:UDA,
author = "L. G. Peck",
title = "On uniform distribution of algebraic numbers",
journal = j-PROC-AM-MATH-SOC,
volume = "4",
number = "??",
pages = "440--443",
year = "1953",
CODEN = "PAMYAR",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
HDnumber = "98",
journal-URL = "http://www.ams.org/journals/proc",
}
@PhdThesis{Teichroew:1953:DSH,
author = "Daniel Teichroew",
title = "Distribution sampling with high speed computers",
type = "{Ph.D.} dissertation",
school = "North Carolina State College",
address = "Chapel Hill, NC, USA",
pages = "vi + 147",
year = "1953",
bibdate = "Mon Jun 27 17:31:44 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://search.lib.unc.edu/search?R=UNCb3222025",
acknowledgement = ack-nhfb,
HDnumber = "119",
}
@Article{Anonymous:1954:RDa,
author = "Anonymous",
title = "Random Digits (12,876--15,125)",
journal = j-J-AM-STAT-ASSOC,
volume = "49",
number = "265",
pages = "206--207",
month = mar,
year = "1954",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314144;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281062",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Anonymous:1954:RDb,
author = "Anonymous",
title = "Random Digits (15,126--17,375)",
journal = j-J-AM-STAT-ASSOC,
volume = "49",
number = "266",
pages = "410--411",
month = jun,
year = "1954",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:30 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314145;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2280958",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Anonymous:1954:RDc,
author = "Anonymous",
title = "Random Digits (17,376--20,875)",
journal = j-J-AM-STAT-ASSOC,
volume = "49",
number = "267",
pages = "682--684",
month = sep,
year = "1954",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:31 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314146;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281154",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Anonymous:1954:RDd,
author = "Anonymous",
title = "Random Digits (20,876--21,875)",
journal = j-J-AM-STAT-ASSOC,
volume = "49",
number = "268",
pages = "928--928",
month = dec,
year = "1954",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:31 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314147;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281560",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Bartholomew:1954:NUS,
author = "D. J. Bartholomew",
title = "Note on the Use of {Sherman}'s Statistic as a Test for
Randomness",
journal = j-BIOMETRIKA,
volume = "41",
number = "3/4",
pages = "556--558",
month = dec,
year = "1954",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2332738",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "62.0X",
MRnumber = "0065097 (16,383a)",
bibdate = "Sat Jun 21 14:32:45 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315423;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2332738",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
keywords = "random numbers",
}
@Article{Hammersley:1954:PMM,
author = "J. M. Hammersley and K. W. Morton",
title = "Poor Man's {Monte Carlo}",
journal = j-J-R-STAT-SOC-SER-B-METHODOL,
volume = "16",
number = "??",
pages = "23--28",
month = "????",
year = "1954",
CODEN = "JSTBAJ",
ISSN = "0035-9246",
bibdate = "Sat Jan 07 11:54:30 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series B
(Methodological)",
journal-URL = "http://www.jstor.org/journals/00359246.html",
}
@Article{Lehmer:1954:DRN,
author = "D. H. Lehmer",
title = "Description of {``Random} number generation on the
{BRL} high-speed computing machines''",
journal = j-MATH-REV,
volume = "15",
number = "??",
pages = "559--559",
month = "????",
year = "1954",
CODEN = "MAREAR",
ISSN = "0025-5629",
bibdate = "Mon Jan 23 18:01:23 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Reviews",
}
@TechReport{Meyer:1954:GTR,
author = "H. A. Meyer and L. S. Gephart and N. L. Rasmussen",
title = "On the generation and testing of random digits",
type = "WADC Technical Report",
number = "54--55",
institution = "Air Res. Dev. Command",
address = "Wright-Patterson Air Force Base, OH, USA",
year = "1954",
bibdate = "Mon Jun 27 15:23:55 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "84",
}
@Article{Moshman:1954:GPR,
author = "Jack Moshman",
title = "The Generation of Pseudo-Random Numbers on a Decimal
Calculator",
journal = j-J-ACM,
volume = "1",
number = "2",
pages = "88--91",
month = apr,
year = "1954",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320772.320775",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Fri Nov 04 00:18:27 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "85",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Page:1954:MCS,
author = "E. S. Page",
title = "The {Monte Carlo} solution of some integral
equations",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "50",
number = "??",
pages = "414--425",
year = "1954",
CODEN = "PCPSA4",
ISSN = "0008-1981",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Cambridge Philosophical Society.
Mathematical and physical sciences",
HDnumber = "93",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Rosenbluth:1954:FRM,
author = "Marshall N. Rosenbluth and Arianna W. Rosenbluth",
title = "Further results on {Monte Carlo} equations of state",
journal = j-J-CHEM-PHYS,
volume = "22",
number = "5",
pages = "881--884",
month = may,
year = "1954",
CODEN = "JCPSA6",
DOI = "https://doi.org/10.1063/1.1740207",
ISSN = "0021-9606 (print), 1089-7690 (electronic)",
ISSN-L = "0021-9606",
bibdate = "Sun Jun 23 19:07:39 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://scienze-como.uninsubria.it/bressanini/montecarlo-history/rosenbluth-1954.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of Chemical Physics",
journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse",
received = "15 September 1953",
}
@Article{Royo:1954:TNA,
author = "Jose Royo and Sebastian Ferrer",
title = "Tabla de numeros aleatorios obtenida de los numeros de
la {Loteria Nacional Espa{\~n}ola}. ({Spanish})
[{Tables} of random numbers obtained from numbers in
the {Spanish National Lottery}]",
journal = "Trabajos de Estad{\'\i}stica y de Investigaci{\'o}n
Operativa",
volume = "5",
number = "2",
pages = "247--256",
month = "????",
year = "1954",
CODEN = "????",
DOI = "https://doi.org/10.1007/BF03028546",
ISSN = "0213-8190",
bibdate = "Mon Jan 16 22:48:20 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Spanish",
}
@Article{Schwartz:1954:RPC,
author = "Lorraine Schwartz",
title = "Review of {P. C. Mahalanobis, {\em Tables of random
samples from a normal population}}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
number = "??",
pages = "228--??",
month = "????",
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jun 27 15:46:11 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "108",
journal-URL = "http://www.ams.org/mcom/",
}
@TechReport{Taussky:1954:GTP,
author = "Olga Taussky and John Todd",
title = "Generation and Testing of Pseudo-Random Numbers",
type = "Report",
number = "3370",
institution = pub-NBS,
address = pub-NBS:adr,
pages = "ii + 16",
day = "22",
month = jun,
year = "1954",
DOI = "https://doi.org/10.6028/nbs.rpt.3370",
bibdate = "Thu Mar 29 10:01:35 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "https://nvlpubs.nist.gov/nistpubs/Legacy/RPT/nbsreport3370.pdf",
abstract = "We shall confine our attention to generation and
testing of sequences of pseudo-random numbers by
arithmetical processes on automatic high speed digital
computers. We shall also confine our attention mainly
to a uniform distribution of random numbers not random
digits. The approximation of normal deviates and other
random variates by polynomials in uniform variates has
been discussed in detail by Teichroew [13]; for other
methods, e.g., acceptance or rejection methods, see von
Neumann [6, 36--38] and Votaw and Rafferty [l6].",
acknowledgement = ack-nhfb,
author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995);
John Todd (16 May 1911--21 June 2007)",
}
@Article{Tocher:1954:AAC,
author = "K. D. Tocher",
title = "The application of automatic computers to sampling
experiments",
journal = j-J-R-STAT-SOC-SER-B-METHODOL,
volume = "16",
number = "1",
pages = "39--61",
year = "1954",
CODEN = "JSTBAJ",
ISSN = "0035-9246",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Discussion pp. 61-75.",
URL = "http://www.jstor.org/stable/2984009",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series B
(Methodological)",
HDnumber = "124",
journal-URL = "http://www.jstor.org/journals/00359246.html",
}
@Article{Todd:1954:ESD,
author = "John Todd",
title = "Experiments in the solution of differential equations
by {Monte Carlo} methods",
journal = j-J-WASH-ACAD-SCI,
volume = "44",
number = "12",
pages = "377--381",
month = dec,
year = "1954",
CODEN = "JWASA3",
ISSN = "0043-0439",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/24533326",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Washington Academy of Sciences",
HDnumber = "125",
journal-URL = "http://www.jstor.org/journal/jwashacadscie",
}
@InProceedings{vanWijngaarden:1954:MC,
author = "A. van Wijngaarden",
title = "Mathematics and computing",
crossref = "Anonymous:1954:ADC",
pages = "125--129",
year = "1954",
bibdate = "Mon Jun 27 16:14:13 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "130",
}
@Article{vonSchelling:1954:CCU,
author = "H. von Schelling",
title = "Coupon collecting for unequal probabilities",
journal = j-AMER-MATH-MONTHLY,
volume = "61",
number = "??",
pages = "306--311",
month = "????",
year = "1954",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 16 22:49:37 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Book{Fieller:1955:CRN,
author = "E. C. Fieller and T. Lewis and E. S. Pearson",
title = "Correlated random normal deviates; 3,000 sets of
deviates, each giving 9 random pairs with correlations
$ 0.1 (0 \times 1) 0 \times 9 $",
volume = "26",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "60",
year = "1955",
LCCN = "QA47 .T7 no.26",
bibdate = "Mon Jun 27 13:35:14 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "Compiled from Herman Wold's Table of random normal
deviates (Tract no. XXV) by E. C. Fieller, T. Lewis,
and E. S. Pearson: {\em Random normal deviates}.",
series = "Tracts for computers",
acknowledgement = ack-nhfb,
HDnumber = "27",
subject = "Probabilities; Tables; Sampling (Statistics)",
}
@TechReport{Gilbert:1955:MCR,
author = "E. N. Gilbert",
title = "Machine Computation of random numbers",
type = "Report",
number = "MM-56-114-3",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
day = "12",
month = mar,
year = "1955",
bibdate = "Mon Jun 27 14:22:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "34",
}
@TechReport{Golomb:1955:SRP,
author = "S. W. Golomb",
title = "Sequences with randomness properties",
type = "Report",
institution = "Glenn L. Martin Co.",
address = "Baltimore, MD, USA",
pages = "????",
year = "1955",
bibdate = "Thu Jan 19 06:49:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Greenwood:1955:CCT,
author = "Robert E. Greenwood",
title = "Coupon Collector's Test for Random Digits",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "9",
number = "49",
pages = "1--5",
month = jan,
year = "1955",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "43",
journal-URL = "http://www.ams.org/mcom/",
}
@Book{Hastings:1955:ADC,
author = "Cecil {Hastings, Jr.}",
title = "Approximations for Digital Computers",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "viii + 201",
year = "1955",
ISBN = "0-691-07914-5",
ISBN-13 = "978-0-691-07914-1",
LCCN = "QA76 .H37",
bibdate = "Mon Oct 01 15:59:48 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "Assisted by Jeanne T. Hayward and James P. Wong, Jr.",
series = "The Rand series",
acknowledgement = ack-nhfb,
remark-1 = "Reprinted 1957, 1959, 1962, 1966, and 1970. I have
fourth printing (1962).",
remark-2 = "Hastings gives a polynomial approximation for
computing random numbers from a normal distribution.",
subject = "Electronic digital computers; Numerical analysis",
tableofcontents = "Preface / v \\
Part I \\
1: Concerning Best Fit / 3 \\
2: Linear Weights / 19 \\
3: An Iterative Procedure / 27 \\
4: Solution of Equations / 35 \\
5: Chebyshev Polynomials / 47 \\
6: Concerning Weights / 65 \\
7: Function With a Peak / 75 \\
8: Rates of Convergence / 83 \\
9: Choice of Form / 95 \\
10: A Scoring-Camera Problem / 115 \\
Part II \\
1: $\log_{10} x$ / 125 \\
5: $\phi(x) = (1 - e^{-x}) / x$ / 129 \\
8: $\arctan x$ / 132 \\
14: $\sin (\pi/2) x$ / 138 \\
17: $10^x$ / 141 \\
21: $W(x) = e^{-x} / (1 + e^{-x})^2$ / 145 \\
24: $P_k(x) = 1.72 + 42 x^2$ or $0.136 / x^2$ / 148 \\
27: $E'(x) = (1 / \sqrt{2 \pi}) e^{-(1/2)x^2}$ / 151
\\
30: ``Total Klein-Nishina Cross Section'' Function /
154 \\
31: $\Gamma(1 + x)$ / 155 \\
35: $\arcsin x$ / 159 \\
40: $\log_2 x$ / 164 \\
43: $\Phi(x) = (2 / \sqrt{\pi}) \int_0^x e^{-t^2} \,
dt$ / 167 \\
46: $K(k) = \int_0^{\pi/2} (1 / \sqrt{1 - k^2 \sin^2
\phi}) \, d\phi$ / 170 \\
49: $E(k) = \int_0^{\pi/2} \sqrt{1 - k^2 \sin^2 \phi}
\, d\phi$ / 173 \\
52: $\ln(1 + x)$ / 176 \\
57: $e^{-x}$ / 181 \\
61: $\Phi(x) = (2 / \sqrt{\pi}) \int_0^x e^{-t^2} \,
dt$ / 185 \\
64: $-{\rm Ei}(-x) = \int_x^\infty (e^{-t} / t) \, dt$
/ 188 \\
67: $q = (1 / \sqrt{2 \pi}) \int_{x(q)}^\infty
e^{-(1/2)t^2} \, dt$ / 191 \\
69: $W(z) = \int_0^\infty (e^(-u z) / (K_1^2(u) + \pi^2
I_1^2(u))) (1/u) \, du$ / 193 \\
71: $P(x) = \int_x^\infty (\sin(t - x) / t) \, dt$ /
195 \\
74: $Q(x) = \int_x^\infty (\cos(t - x) / t) \, dt$ /
195 \\
References for Part II / 201",
}
@Article{McCracken:1955:MCM,
author = "Daniel D. McCracken",
title = "The {Monte Carlo} Method",
journal = j-SCI-AMER,
volume = "192",
number = "5",
pages = "90--??",
month = may,
year = "1955",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Tue May 19 18:01:43 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "Buffon needle problem; mathematics; Monte Carlo
method; probability; random numbers",
}
@Article{Neovius:1955:ATT,
author = "G{\"o}sta Neovius",
title = "Artificial traffic trials using digital computers",
journal = "Ericsson Technics",
volume = "11",
number = "??",
pages = "279--291",
year = "1955",
CODEN = "????",
ISSN = "0014-018X",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "90",
}
@Book{RAND:1955:MRD,
author = "{RAND Corporation}",
title = "A Million Random Digits With 100,000 Normal Deviates",
publisher = pub-FREE,
address = pub-FREE:adr,
pages = "xxv + 400 + 200",
year = "1955",
ISBN = "0-02-925790-5",
ISBN-13 = "978-0-02-925790-6",
LCCN = "QA276.5 .R3",
bibdate = "Sat Aug 23 07:58:03 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Reprinted in 1966 and 2001 \cite{RAND:2001:MRD}. See
also
\cite{Tippett:1927:RSN,Brown:1949:HRR,Brown:1951:HRR}.",
URL = "http://www.rand.org/pubs/monograph_reports/MR1418.html",
acknowledgement = ack-nhfb,
HDnumber = "100",
}
@Article{Spenser:1955:RNT,
author = "Gordon Spenser",
title = "Random numbers and their generation",
journal = j-COMP-AUTO,
volume = "4",
number = "??",
pages = "10--11, 23",
year = "1955",
CODEN = "CPAUAJ",
ISSN = "0010-4795, 0887-4549",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computers and Automation",
HDnumber = "114",
}
@Article{Barton:1956:SNO,
author = "D. E. Barton and F. N. David",
title = "Some notes on ordered random intervals",
journal = j-J-R-STAT-SOC-SER-B-METHODOL,
volume = "18",
number = "1",
pages = "79--94",
month = "????",
year = "1956",
CODEN = "JSTBAJ",
ISSN = "0035-9246",
bibdate = "Sun Feb 19 06:48:10 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2983737",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series B
(Methodological)",
journal-URL = "http://www.jstor.org/journals/00359246.html",
}
@InProceedings{Butler:1956:MSG,
author = "James W. Butler",
title = "Machine sampling from given probability
distributions",
crossref = "Meyer:1956:SMC",
pages = "249--264",
year = "1956",
bibdate = "Mon Jun 27 12:23:47 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "12",
}
@Article{Davis:1956:SMC,
author = "P. Davis and P. Rabinowitz",
title = "Some {Monte Carlo} Experiments in Computing Multiple
Integrals",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "10",
number = "53",
pages = "1--8",
month = jan,
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "21",
journal-URL = "http://www.ams.org/mcom/",
}
@TechReport{Farrington:1956:GPR,
author = "Carl C. {Farrington, Jr.}",
title = "Generating pseudo-random numbers in the {Illiac}",
type = "Report",
number = "74",
institution = "Digital Computer Laboratory, University of Illinois",
address = "Champaign-Urbana, IL, USA",
year = "1956",
bibdate = "Mon Jun 27 13:33:15 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "26",
}
@Article{Isida:1956:RNG,
author = "Masatugu Isida and Hiroji Ikeda",
title = "Random number generator",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "8",
number = "??",
pages = "119--126",
year = "1956",
CODEN = "AISXAD",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
MRnumber = "MR 86369",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics
(Tokyo)",
HDnumber = "4'",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Johnson:1956:GTP,
author = "D. L. Johnson",
title = "Generating and Testing Pseudo Random Numbers on the
{IBM Type 701}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "10",
number = "53",
pages = "8--13",
month = jan,
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "57",
journal-URL = "http://www.ams.org/mcom/",
}
@TechReport{Kahn:1956:AMC,
author = "Herman Kahn",
title = "Applications of {Monte Carlo}",
type = "Research Memorandum",
number = "RM-1237",
institution = "RAND Corporation",
address = "Santa Monica, CA, USA",
year = "1956",
bibdate = "Mon Jun 27 14:58:22 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Also appeared as AECU 3259",
URL = "http://www.rand.org/pubs/research_memoranda/RM1237.html",
abstract = "A discussion of some of the ideas and techniques of
the Monte Carlo method (applying probability theory and
statistics to applied mathematics) that have proved
useful in the solution of various problems. The study
considers techniques with random variables, evaluating
integrals, integral or matrix equations, and ordinary
differential equations.",
acknowledgement = ack-nhfb,
HDnumber = "59",
}
@InProceedings{Kahn:1956:UDM,
author = "Herman Kahn",
title = "Use of different {Monte Carlo} sampling techniques",
crossref = "Meyer:1956:SMC",
pages = "146--190",
year = "1956",
bibdate = "Mon Jun 27 14:59:48 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "60",
}
@InProceedings{Lytle:1956:DGT,
author = "Ernest J. {Lytle, Jr.}",
title = "A description of the generation and testing of a set
of random normal deviates",
crossref = "Meyer:1956:SMC",
pages = "234--248",
year = "1956",
bibdate = "Mon Jun 27 14:59:48 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "72",
}
@InProceedings{Marshall:1956:UMS,
author = "Andrew W. Marshall",
title = "The use of multi-stage sampling schemes in {Monte
Carlo} computations",
crossref = "Meyer:1956:SMC",
pages = "123--140",
year = "1956",
bibdate = "Mon Jun 27 15:19:05 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "79",
}
@InProceedings{Metropolis:1956:DGT,
author = "N. Metropolis",
title = "A description of the generation and testing of a set
of random normal deviates",
crossref = "Meyer:1956:SMC",
pages = "234--248",
year = "1956",
bibdate = "Mon Jun 27 14:59:48 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Metropolis:1956:PSM,
author = "N. Metropolis",
title = "Phase shifts --- middle squares --- wave equations",
crossref = "Meyer:1956:SMC",
pages = "29--36",
year = "1956",
MRclass = "65.3X",
MRnumber = "MR0088787 (19,580c)",
MRreviewer = "M. A. Hyman",
bibdate = "Thu Dec 22 07:41:05 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Lecture notes in statistics",
acknowledgement = ack-nhfb,
HDnumber = "82",
}
@Article{Pawlak:1956:FFG,
author = "Z. Pawlak",
title = "Flip-flop as generator of random binary digits",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "10",
number = "??",
pages = "28--30",
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jun 27 15:35:03 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "96",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Sprowls:1956:ACF,
author = "R. Clay Sprowls",
title = "An Automatic Coin Flipper for Sampling
Demonstrations",
journal = j-AMER-STAT,
volume = "10",
number = "2",
pages = "12--13",
month = apr,
year = "1956",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 08:42:51 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326299;
https://www.math.utah.edu/pub/tex/bib/amstat1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2681598",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Stuart:1956:ETR,
author = "Alan Stuart",
title = "The efficiencies of tests of randomness,
distribution-free methods vs. normal alternatives",
journal = j-J-AM-STAT-ASSOC,
volume = "51",
number = "274",
pages = "285--287",
month = jun,
year = "1956",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Jan 16 22:46:41 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281348",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@InProceedings{Taussky:1956:GTP,
author = "Olga Taussky and John Todd",
title = "Generation and testing of pseudo-random numbers",
crossref = "Meyer:1956:SMC",
pages = "15--28",
year = "1956",
MRnumber = "MR 80382",
bibdate = "Mon Jun 27 12:23:47 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "118",
}
@InProceedings{Tompkins:1956:MAP,
author = "C. B. Tompkins",
title = "Machine attacks on problems whose variables are
permutations",
crossref = "Curtiss:1956:NAP",
pages = "195--212",
year = "1956",
bibdate = "Mon Jun 27 16:11:23 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "129",
}
@Article{Tompkins:1956:RJS,
author = "C. B. Tompkins",
title = "Review of {{\em Japanese Standards Association, random
number generating icosahedral dice}}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "15",
number = "73",
pages = "94--95",
month = jan,
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "127",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Tompkins:1956:RMR,
author = "C. B. Tompkins",
title = "Review of {{\em A Million Random Digits With 100,000
Normal Deviates}}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "10",
number = "53",
pages = "39--43",
month = jan,
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "127",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cook:1957:RFP,
author = "J. M. Cook",
title = "Rational Formulae for the Production of a Spherically
Symmetric Probability Distribution",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "81--82",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/2002156",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "Extension to the surface of a sphere of von Neumann's
method for producing a uniform distribution of random
value on the circumference of the unit circle.",
}
@Article{Davis:1957:CJH,
author = "Harold Davis",
title = "Comment: {J. Halcomb Laning, Jr., and Richard H.
Battin, \booktitle{Random Processes in Automatic
Control}, McGraw-Hill Series in Control Systems
Engineering, McGraw-Hill Book Co., Inc., New York,
1956, ix + 434 p., 23 cm. Price \$10.00}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "112--112",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/2002157",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Book{Fisher:1957:STBa,
author = "Sir Ronald Aylmer Fisher and Frank Yates",
title = "Statistical tables for biological, agricultural, and
medical research",
publisher = pub-OLIVER-BOYD,
address = pub-OLIVER-BOYD:adr,
edition = "Fifth",
pages = "138",
year = "1957",
LCCN = "QA276 .F498 1957a",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (1890--1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc; Mathematical
statistics",
}
@Book{Fisher:1957:STBb,
author = "Sir Ronald Aylmer Fisher and Frank Yates",
title = "Statistical tables for biological, agricultural, and
medical research",
publisher = "Hafner Pub. Co.",
address = "New York, NY, USA",
edition = "Fifth",
pages = "138",
year = "1957",
LCCN = "QA276 .F498 1957",
bibdate = "Thu Dec 22 09:30:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (1890--1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc; Mathematical
statistics",
}
@Article{Gabai:1957:DCS,
author = "H. Gabai",
title = "On the discrepancy of certain sequences mod $1$",
journal = "Ill. J. Math.",
volume = "1",
pages = "1--12",
year = "1957",
bibdate = "Wed Mar 28 06:06:24 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0146.06303",
acknowledgement = ack-nhfb,
keywords = "number theory",
language = "English",
}
@Article{Good:1957:STR,
author = "I. J. Good",
title = "On the serial test for random sequences",
journal = j-ANN-MATH-STAT,
volume = "28",
number = "1",
pages = "262--264",
month = mar,
year = "1957",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177707053",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177707053;
http://www.jstor.org/stable/2237039",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "39",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Savage:1957:ITR,
author = "Richard Savage",
title = "On the Independence of Tests of Randomness and Other
Hypotheses",
journal = j-J-AM-STAT-ASSOC,
volume = "52",
number = "277",
pages = "53--57",
month = mar,
year = "1957",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:32 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314156;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281400",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{vonHoerner:1957:HZR,
author = "Sebastian von Hoerner",
title = "{Herstellung von Zufallszahlen auf Rechenautomaten}.
({German}) [{Production} of random numbers on automatic
computers]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "8",
number = "??",
pages = "26--52",
year = "1957",
CODEN = "ZAMPDB",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
= Journal of Applied Mathematics and Physics}",
HDnumber = "132",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Walsh:1957:EMO,
author = "John E. Walsh",
title = "An experimental method for obtaining random digits and
permutations",
journal = j-SANKHYA-A,
volume = "17",
number = "5",
pages = "355--360",
month = feb,
year = "1957",
CODEN = "SNKYA5",
ISSN = "0036-4452",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/25048325",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
HDnumber = "138",
}
@Article{Bass:1958:MMC,
author = "J. Bass and J. Guilloud",
title = "{M{\'e}thode} de {Monte-Carlo} et suites
uniform{\'e}ment denses. ({French}) [{The Monte Carlo
Method} and sequences of uniformly-distributed
numbers]",
journal = j-CHIFFRES,
volume = "1",
number = "??",
pages = "149--156",
month = "????",
year = "1958",
CODEN = "????",
ISSN = "0245-9922",
bibdate = "Mon Jun 27 12:08:40 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Chiffres: Revue de l'Association fran{\c{c}}aise de
Calcul",
HDnumber = "2",
language = "French",
}
@Article{Bauer:1958:MCM,
author = "W. F. Bauer",
title = "The {Monte Carlo} Method",
journal = j-J-SIAM,
volume = "6",
number = "4",
pages = "438--451",
month = dec,
year = "1958",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
HDnumber = "4",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Book{Bendat:1958:PAR,
author = "Julius S. Bendat",
title = "Principles and Applications of Random Noise Theory",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "431",
year = "1958",
LCCN = "TK5101 .B37",
bibdate = "Sun Nov 30 07:47:29 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Random noise theory",
}
@Article{Bofinger:1958:PPP,
author = "Eve Bofinger and V. J. Bofinger",
title = "On a Periodic Property of Pseudo-Random Sequences",
journal = j-J-ACM,
volume = "5",
number = "3",
pages = "261--265",
month = jul,
year = "1958",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320932.320937",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:06:57 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "5",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Box:1958:NGR,
author = "G. E. P. Box and Mervin E. Muller",
title = "A note on the generation of random normal deviates",
journal = j-ANN-MATH-STAT,
volume = "29",
number = "2",
pages = "610--611",
month = jun,
year = "1958",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177706645",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Sat Sep 17 10:06:44 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177706645;
http://www.jstor.org/stable/2237361",
abstract = "Sampling experiments often require the generation of
large numbers of random normal deviates. When an
electronic computer is used it is desirable to arrange
for the generation of such normal deviates within the
machine itself rather than to rely on tables. Pseudo
random numbers can be generated by a variety of methods
within the machine and the purpose of this note is to
give what is believed to be a new method for generating
normal deviates from independent random numbers. This
approach can be used on small as well as large scale
computers. A detailed comparison of the utility of this
approach with other known methods (such as: (1) the
inverse Gaussian function of the uniform deviates, (2)
Teichroew's approach, (3) a rational approximation such
as that developed by Hastings, (4) the sum of a fixed
number of uniform deviates and (5) rejection-type
approach), has been made elsewhere [1] by one of the
authors (M. E. M.). It is shown that the present
approach not only gives higher accuracy than previous
methods but also compares in speed very favourably with
other methods.",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "8",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Certaine:1958:SPR,
author = "J. Certaine",
title = "On Sequences of Pseudo-Random Numbers of Maximal
Length",
journal = j-J-ACM,
volume = "5",
number = "4",
pages = "353--356",
month = oct,
year = "1958",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:10:19 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "16",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Franklin:1958:EPR,
author = "J. N. Franklin",
title = "On the equidistribution of pseudo-random numbers",
journal = j-QUART-APPL-MATH,
volume = "16",
number = "??",
pages = "183--188",
month = "????",
year = "1958",
CODEN = "QAMAAY",
ISSN = "0033-569x (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
HDnumber = "31",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
}
@TechReport{Gross:1958:AGP,
author = "O. Gross and S. M. Johnson",
title = "Additive generation of pseudorandom numbers",
type = "Research Memorandum",
number = "RM-2132",
institution = "RAND Corporation",
address = "Santa Monica, CA, USA",
year = "1958",
bibdate = "Mon Jun 27 14:33:22 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.rand.org/pubs/research_memoranda/RM2132.html",
abstract = "The calculation of the cycle lengths of sequences of
certain special cases of pseudorandom vectors generated
by a new addition technique. These cycle lengths are
comparable to those obtained by the established
multiplicative methods, and relevant theorems are
included. A pseudorandom sequence of numbers is defined
as a completely determined sequence having some of the
more easily tested statistical properties of truly
random sequences.",
acknowledgement = ack-nhfb,
HDnumber = "44",
}
@Article{Leslie:1958:PSM,
author = "P. H. Leslie and J. C. Gower",
title = "The Properties of a Stochastic Model for two Competing
Species",
journal = j-BIOMETRIKA,
volume = "45",
number = "3/4",
pages = "316--330",
month = dec,
year = "1958",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2333181",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "92.00 (60.00)",
MRnumber = "0102448 (21 \#1241)",
MRreviewer = "M. A. Stone",
bibdate = "Sat Jun 21 14:32:58 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315431;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2333181",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
HDnumber = "69",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
}
@Article{Muller:1958:IMG,
author = "Mervin E. Muller",
title = "An Inverse Method for the Generation of Random Normal
Deviates on Large-Scale Computers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "12",
number = "63",
pages = "167--174",
month = jul,
year = "1958",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
HDnumber = "86",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Renyi:1958:ODP,
author = "Alfr{\'e}d R{\'e}nyi",
title = "On a one-dimensional problem concerning random space
filling",
journal = "Magyar Tud. Akad. Mat. Kutat{\'o} Int. K{\"o}zl.",
volume = "3",
number = "1--2",
pages = "109--127",
month = "????",
year = "1958",
bibdate = "Wed Feb 29 21:10:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/kepler.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Publ. Math. Inst. Hung. Acad. Sci.",
fjournal = "A Magyar Tudom{\'a}nyos Akad{\'e}mia Matematikai
{\'e}s Fizikai Tudom{\'a}nyok Oszt{\'a}ly{\'a}nak
K{\"o}zlem{\'e}nyei",
keywords = "parking-lot test; sphere packing",
language = "Hungarian (with English and Russian summaries)",
}
@TechReport{Richtmyer:1958:NRS,
author = "R. D. Richtmyer",
title = "A non-random sampling method, based on congruences,
for {``Monte Carlo''} problems",
type = "Report",
number = "NYO-8674",
institution = "AEC Computational and Applied Mathematics Center, New
York University",
address = "New York, NY, USA",
year = "1958",
bibdate = "Mon Jun 27 15:40:58 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "103",
}
@Article{Schmid:1958:KSL,
author = "Paul Schmid",
title = "On the {Kolmogorov} and {Smirnov} limit theorems for
discontinuous distribution functions",
journal = j-ANN-MATH-STAT,
volume = "29",
number = "4",
pages = "1011--1027",
month = dec,
year = "1958",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Wed Jan 18 08:24:23 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2236943",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Sengupta:1958:TRN,
author = "J. M. Sengupta and Nikhilesh Bhattacharya",
title = "Tables of random normal deviates",
journal = j-SANKHYA-A,
volume = "20",
number = "3/4",
pages = "249--286",
month = dec,
year = "1958",
CODEN = "SNKYA5",
ISSN = "0036-4452",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
HDnumber = "109",
}
@Article{Sobol:1958:PRN,
author = "I. M. Sobol'",
title = "Pseudo-random numbers for the machine {``Strela''}",
journal = j-THEORY-PROBAB-APPL,
volume = "3",
number = "??",
pages = "192--197",
year = "1958",
CODEN = "TPRBAU",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
HDnumber = "111",
journal-URL = "http://epubs.siam.org/tvp",
}
@Article{Thomson:1958:MCM,
author = "W. E. Thomson",
title = "A modified congruence method of generating
pseudo-random numbers",
journal = j-COMP-J,
volume = "1",
number = "2",
pages = "83, 86",
month = jul,
year = "1958",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:55:03 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_02/010083.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_02/tiff/83.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
HDnumber = "120",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Bolshev:1959:TRV,
author = "L. N. Bol'shev",
title = "On transformations of random variables",
journal = j-THEORY-PROBAB-APPL,
volume = "4",
number = "2",
pages = "136--149",
month = "????",
year = "1959",
CODEN = "TPRBAU",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Wed Jan 18 11:09:54 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
}
@Book{Cashwell:1959:PMM,
author = "E. D. Cashwell and C. J. (Cornelius Joseph) Everett",
title = "A practical manual on the {Monte Carlo} method for
random walk problems",
volume = "1",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "ix + 153",
year = "1959",
LCCN = "QC174.5 .C3",
bibdate = "Mon Jun 27 12:30:13 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "International tracts in computer science and
technology and their application",
acknowledgement = ack-nhfb,
HDnumber = "15",
subject = "Quantum statistics; Probabilities; Computers",
tableofcontents = "1. Basic principles (pseudo-random numbers) \\
2. The source routine \\
3. The mean free path and transmission \\
4. The collision or escape routine \\
5. The collision routine for neutrons \\
6. Photon collisions \\
7. Direction parameters aft~r collision \\
8. Terminal classification \\
9. Remarks on computation \\
10. Statistical considerations \\
Appendix: Summary of problems run on Maniac I",
}
@Article{Cook:1959:RRP,
author = "J. M. Cook",
title = "Remarks on a Recent Paper: {``An Efficient Method for
Generating Uniformly Distributed Points on the Surface
of an $n$-Dimensional Sphere'' ({\bf 2}, No. 4 (1959),
17)}",
journal = j-CACM,
volume = "2",
number = "10",
pages = "26--26",
month = oct,
year = "1959",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/368453.1127876",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Sat Mar 17 12:26:12 2012",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Cook59;
https://www.math.utah.edu/pub/tex/bib/cacm1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Hicks:1959:EMG}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
oldlabel = "Cook59",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Cook59",
}
@Article{Ehrlich:1959:MCS,
author = "Louis W. Ehrlich",
title = "{Monte Carlo} Solutions of Boundary Value Problems
Involving the Difference Analogue of $ \partial^2 u /
\partial x^2 + \partial^2 u / \partial y^2 + ({K} /
y)(\partial u / \partial y) = 0 $",
journal = j-J-ACM,
volume = "6",
number = "2",
pages = "204--218",
month = apr,
year = "1959",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320964.320977",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:04:29 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "25",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Golenko:1959:DCS,
author = "D. I. Golenko",
title = "Determination of characteristics of some stochastic
processes by {Monte Carlo} methods",
journal = j-COMP-MATH,
volume = "??",
number = "5",
pages = "93--108",
year = "1959",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Mathematics",
HDnumber = "36",
language = "Russian",
}
@Article{Golenko:1959:FRN,
author = "D. I. Golenko",
title = "Formation of random numbers with arbitrary law of
distribution",
journal = j-COMP-MATH,
volume = "??",
number = "5",
pages = "83--92",
year = "1959",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Mathematics",
HDnumber = "35",
language = "Russian",
}
@Article{Green:1959:ETA,
author = "Bert F. {Green, Jr.} and J. E. Keith Smith and Laura
Klem",
title = "Empirical Tests of an Additive Random Number
Generator",
journal = j-J-ACM,
volume = "6",
number = "4",
pages = "527--537",
month = oct,
year = "1959",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320998.321006",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:10:59 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "40",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Hicks:1959:EMG,
author = "J. S. Hicks and R. F. Wheeling",
title = "An Efficient Method for Generating Uniformly
Distributed Points on the Surface of an $n$-Dimensional
Sphere",
journal = j-CACM,
volume = "2",
number = "4",
pages = "17--19",
month = apr,
year = "1959",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/377939.377945",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Jul 14 15:48:22 MDT 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#HicksW59;
http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/cacm1950.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See remarks \cite{Cook:1959:RRP}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
oldlabel = "HicksW59",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/HicksW59",
}
@Manual{IBM:1959:RNG,
author = "{IBM}",
title = "Random number generation and testing",
organization = "International Business Machines Corporation",
address = "New York, NY, USA",
year = "1959",
bibdate = "Mon Jun 27 14:55:25 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Reference manual C20-8011.",
acknowledgement = ack-nhfb,
HDnumber = "56",
}
@InProceedings{Lehmer:1959:CPD,
author = "D. H. Lehmer",
title = "Combinatorial problems with digital computers",
crossref = "Macphail:1959:PFC",
pages = "160--173",
year = "1959",
bibdate = "Mon Jun 27 15:08:42 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "68",
}
@Article{Muller:1959:CMG,
author = "Mervin E. Muller",
title = "A Comparison of Methods for Generating Normal Deviates
on Digital Computers",
journal = j-J-ACM,
volume = "6",
number = "3",
pages = "376--383",
month = jul,
year = "1959",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320986.320992",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Tue Nov 1 09:33:26 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
descriptors = "RVG",
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "87",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Muller:1959:NMG,
author = "Mervin E. Muller",
title = "A Note on a Method for Generating Points Uniformly on
{$N$}-Dimensional Spheres",
journal = j-CACM,
volume = "2",
number = "4",
pages = "19--20",
month = apr,
year = "1959",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Jul 14 15:48:22 MDT 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Muller59;
http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
HDnumber = "88",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
oldlabel = "Muller59",
remark = "See also \cite{Cheng:1998:RVG} for random points on an
$n$-sphere.",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Muller59",
}
@Article{Page:1959:PRE,
author = "E. S. Page",
title = "Pseudo-Random Elements for Computers",
journal = j-APPL-STAT,
volume = "8",
number = "2",
pages = "124--131",
month = jun,
year = "1959",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:16:50 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
HDnumber = "94",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{Schulz-Arenstorff:1959:PDP,
author = "Richard Schulz-Arenstorff and James C. Morelock",
title = "The Probability Distribution of the Product of $n$
Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "66",
number = "2",
pages = "95--99",
month = feb,
year = "1959",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Sterzer:1959:RNG,
author = "Fred Sterzer",
title = "Random number generator using subharmonic
oscillators",
journal = j-REV-SCI-INSTRUM,
volume = "30",
number = "4",
pages = "241--243",
year = "1959",
CODEN = "RSINAK",
DOI = "https://doi.org/10.1063/1.1716525",
ISSN = "1089-7623, 0034-6748",
ISSN-L = "0034-6748",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A random number generator which uses two 2000 Mc
subharmonic oscillators is described. This generator
can produce random binary digits at a maximum rate of
approximately $ 3 \times 10^7 $ digits per second.
Statistical tests performed on over a quarter million
digits produced by this generator indicate that they
were at least as random as digits produced by other
slower contemporary means.",
acknowledgement = ack-nhfb,
fjournal = "Review of scientific instruments",
HDnumber = "115",
journal-URL = "http://rsi.aip.org/",
}
@Article{Thomson:1959:EMS,
author = "W. E. Thomson",
title = "{ERNIE} --- a mathematical and statistical analysis",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "122",
number = "3",
pages = "301--324",
year = "1959",
CODEN = "JSSAEF",
ISSN = "0035-9238",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Discussion pp. 324-333.",
URL = "http://www.jstor.org/stable/2342795",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
HDnumber = "121",
journal-URL = "http://www.jstor.org/journals/00359238.html",
keywords = "ERNIE (Electronic Random Number Generator Indicator
Equipment)",
xxpages = "301--333",
}
@Book{Tippett:1959:RSN,
author = "Leonard Henry Caleb Tippett",
title = "Random sampling numbers",
volume = "15",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 26",
year = "1959",
LCCN = "QA47 .T7 no. 15",
bibdate = "Mon Jun 27 13:35:14 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "With a foreword by editor Karl Pearson.",
series = "Tracts for computers",
acknowledgement = ack-nhfb,
HDnumber = "123",
remark = "This is a reprint of \cite{Tippett:1927:RSN}.",
subject = "Mathematics; Tables; Sampling (Statistics)",
}
@Article{Zierler:1959:LRS,
author = "Neal Zierler",
title = "Linear Recurring Sequences",
journal = j-J-SIAM,
volume = "7",
number = "1",
pages = "31--48",
month = mar,
year = "1959",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
HDnumber = "143",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Bazley:1960:AMC,
author = "N. W. Bazley and P. J. Davis",
title = "Accuracy of {Monte Carlo} methods in computing finite
{Markov} chains",
journal = j-J-RES-NATL-BUR-STAND-1934,
volume = "64B",
number = "??",
pages = "211--215",
month = "????",
year = "1960",
CODEN = "????",
ISSN = "0091-0635",
bibdate = "Mon Jun 27 12:11:11 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Research of the National Bureau of
Standards (1934)",
HDnumber = "3",
}
@InProceedings{Butcher:1960:SR,
author = "J. C. Butcher",
editor = "????",
booktitle = "Proceedings of the First Australian Computer
Conference",
title = "The simulation of randomness",
publisher = "????",
address = "????",
pages = "12/1/1--12/1/2",
year = "1960",
LCCN = "????",
bibdate = "Mon Jan 16 22:40:20 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "????",
acknowledgement = ack-nhfb,
}
@Book{Clark:1960:EDR,
author = "Charles E. (Charles Erwin) Clark and Betty Weber
Holz",
title = "Exponentially distributed random numbers",
publisher = "Published for Operations Research Office, Johns
Hopkins University by Johns Hopkins Press",
address = "Baltimore, MD, USA",
pages = "249",
year = "1960",
LCCN = "QA276 .C49",
bibdate = "Mon Jun 27 12:32:41 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
HDnumber = "18",
subject = "Numbers, Random",
}
@Article{Clark:1960:USR,
author = "Charles E. Clark",
title = "The utility of statistics of random numbers",
journal = j-OPER-RES,
volume = "8",
number = "2",
pages = "185--195",
month = mar # "\slash " # apr,
year = "1960",
CODEN = "OPREAI",
DOI = "https://doi.org/10.1287/opre.8.2.185",
ISSN = "0030-364X (print), 1526-5463 (electronic)",
ISSN-L = "0030-364X",
bibdate = "Mon Jun 27 12:17:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/167201",
acknowledgement = ack-nhfb,
fjournal = "Operations Research",
HDnumber = "17",
journal-URL = "http://pubsonline.informs.org/loi/opre",
}
@Article{Coveyou:1960:SCG,
author = "R. R. Coveyou",
title = "Serial Correlation in the Generation of Pseudo-Random
Numbers",
journal = j-J-ACM,
volume = "7",
number = "1",
pages = "72--74",
month = jan,
year = "1960",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321008.321018",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:01:31 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "19",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@TechReport{DeMatteis:1960:PRS,
author = "A. {De Matteis} and B. Faleschini",
title = "Pseudo-random sequences of equal length",
type = "Report",
number = "88",
institution = "Comitato AND Nazionale per l'Energia Nucleare",
address = "Bologna, Italy",
year = "1960",
bibdate = "Mon Jun 27 15:20:20 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "80",
}
@Article{Edmonds:1960:GPR,
author = "A. R. Edmonds",
title = "The generation of pseudo-random numbers on electronic
digital computers",
journal = j-COMP-J,
volume = "2",
number = "4",
pages = "181--185",
month = jan,
year = "1960",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:55:16 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/020181.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/181.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/182.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/183.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/184.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/185.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
HDnumber = "24",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Golenko:1960:SRN,
author = "D. I. Golenko and V. P. Smiriagin",
title = "A source of random numbers which are equidistributed
in $ [0, 1] $",
journal = "Publications Math. Inst., Hungarian Acad. Sci.",
volume = "5A",
number = "3",
pages = "241--253",
year = "1960",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "English abstract.",
acknowledgement = ack-nhfb,
HDnumber = "37",
language = "Russian",
}
@InCollection{Good:1960:MCM,
author = "I. J. Good",
booktitle = "{McGraw-Hill} Encyclopedia of Science and Technology",
title = "{Monte Carlo} Method",
volume = "8",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "586--587",
year = "1960",
LCCN = "????",
bibdate = "Sat Jan 07 11:52:13 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Halton:1960:BEC,
author = "J. H. Halton",
title = "{Berichtigung: ``On the efficiency of certain
quasi-random sequences of points in evaluating
multi-dimensional integrals'' [Num. Math. {\bf 2},
84--90 (1960)]}. ({German}) [{Correction}]",
journal = j-NUM-MATH,
volume = "2",
pages = "196--196",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Halton:1960:ECQ}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
language = "German, English",
}
@Article{Halton:1960:ECQ,
author = "J. H. Halton",
title = "On the efficiency of certain quasi-random sequences of
points in evaluating multi-dimensional integrals",
journal = j-NUM-MATH,
volume = "2",
pages = "84--90",
month = dec,
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See correction \cite{Halton:1960:BEC}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
HDnumber = "47",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Hammersley:1960:MCM,
author = "J. M. Hammersley",
title = "{Monte Carlo} methods for solving multivariable
problems",
journal = j-ANN-NY-ACAD-SCI,
volume = "86",
number = "??",
pages = "844--874",
year = "1960",
CODEN = "ANYAA9",
ISSN = "0077-8923 (print), 1749-6632 (electronic)",
ISSN-L = "0077-8923",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of the New York Academy of Sciences",
HDnumber = "50",
journal-URL = "http://www.nyas.org/Publications/Archive.aspx",
}
@Article{Hunter:1960:NTR,
author = "D. G. N. Hunter",
title = "Note on a test for repeating cycles in a pseudo-random
number generator",
journal = j-COMP-J,
volume = "3",
number = "1",
pages = "9--9",
month = apr,
year = "1960",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:55:18 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/030009.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_01/tiff/9.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
HDnumber = "55",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@TechReport{Kleinrock:1960:PTS,
author = "L. Kleinrock",
title = "A Program for Testing Sequences of Random Numbers",
type = "Report",
number = "51G-0018",
institution = "MIT Lincoln Laboratory",
address = "Cambridge, MA, USA",
day = "25",
month = oct,
year = "1960",
bibdate = "Thu Feb 02 17:32:52 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1960:GED,
author = "George Marsaglia",
title = "On generating exponentially distributed random
variables",
type = "Report",
number = "??",
institution = "Boeing Scientific Research Labs",
address = "Seattle, WA, USA",
pages = "??",
month = "????",
year = "1960",
bibdate = "Tue Jun 21 18:58:31 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Pakov:1960:GRC,
author = "G. K. Pakov",
title = "Generation of a random correlated quantity on a
high-speed electronic computer",
journal = "Soviet developments in information processing and
machine translation",
volume = "??",
number = "??",
pages = "??--??",
month = "????",
year = "1960",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jun 27 15:33:40 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "U. S. Joint Publ. Res. Service JPRS: 5784, Nov.,
1960",
acknowledgement = ack-nhfb,
ajournal = "Soviet Develop. Infor. Proc. Machine Translat.",
HDnumber = "95",
keywords = "true random numbers from physical sources",
}
@Article{Postnikov:1960:AMR,
author = "A. G. Postnikov",
title = "Arithmetic modeling of random processes",
journal = j-PROC-STEKLOV-INST-MATH,
volume = "57",
number = "??",
pages = "1--84",
month = "????",
year = "1960",
CODEN = "TMISAF",
ISSN = "0371-9685",
MRclass = "10.50",
MRnumber = "0148639 (26 \#6146)",
MRreviewer = "A. R{\'e}nyi",
bibdate = "Thu Jan 19 08:10:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Trudy Matematicheskogo instituta imeni V. A. Steklova
= Proceedings of the Steklov Institute of Mathematics",
}
@Article{Rotenburg:1960:NPR,
author = "A. Rotenburg",
title = "A New Pseudo-Random Number Generator",
journal = j-J-ACM,
volume = "7",
number = "1",
pages = "75--77",
month = jan,
year = "1960",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321008.321019",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:01:32 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
descriptors = "RNG; linear congruential generator",
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "107",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Schmidt:1960:NN,
author = "Wolfgang M. Schmidt",
title = "On normal numbers",
journal = j-PAC-J-MATH,
volume = "10",
pages = "661--672",
year = "1960",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "10.00",
MRnumber = "0117212 (22 \#7994)",
MRreviewer = "F. Herzog",
bibdate = "Sat Jan 7 16:44:42 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/pi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103038420",
ZMnumber = "0093.05401",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
remark = "From the first section of the paper: ``In this paper
we solve the following problem. {\em Under what
conditions on $r$, $s$ is every number $ \xi $ which is
normal to base $r$ also normal to base $s$ ?} The
answer is given by: THEOREM 1. {\bf A} Assume $ r \sim
s $. Then any number normal to base $r$ is normal to
base $s$. {\bf B} If $ r \not \sim s $, then the set of
numbers $ \xi $ which are normal to base $r$ but not
even simply normal to base $s$ has the power of the
continuum.'' Here, the relation $ r \sim s $ means that
the exist integer $m$ and $n$ such that $ r^m = s^n
$.",
}
@Article{Wall:1960:FSM,
author = "D. D. Wall",
title = "{Fibonacci} Series Modulo $m$",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
number = "6",
pages = "525--532",
month = jun # "\slash " # jul,
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:58 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
HDnumber = "135",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@InProceedings{Wall:1960:RNT,
author = "Donald D. Wall",
title = "A random number test for large samples",
crossref = "Anonymous:1960:PFI",
pages = "7--11",
year = "1960",
bibdate = "Mon Jun 27 16:20:43 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "136",
}
@Article{Yamada:1960:PPN,
author = "S. Yamada",
title = "On the period of pseudorandom numbers generated by
{Lehmer}'s congruential method",
journal = "J. Op. Research Soc. Japan",
volume = "3",
number = "??",
pages = "113--123",
month = "????",
year = "1960",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jan 16 22:43:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Book{Biuslenko:1961:MCM,
author = "N. P. Biuslenko and Ju. A. Sreider",
title = "The {Monte-Carlo} method and how it is carried out on
digital computers",
publisher = "Gosudarstv. Izdat. Fiz-Mat. Lit.",
address = "Moscow, USSR",
pages = "????",
year = "1961",
CODEN = "????",
ISSN = "????",
LCCN = "????",
bibdate = "Mon Jun 27 16:32:37 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "1'",
language = "Russian",
}
@Article{Bofinger:1961:GTR,
author = "Eve Bofinger and V. J. Bofinger",
title = "The gap test for random sequences",
journal = j-ANN-MATH-STAT,
volume = "32",
number = "2",
pages = "524--534",
month = jun,
year = "1961",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177705058",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jun 27 12:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177705058;
http://www.jstor.org/stable/2237761",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "6",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Bofinger:1961:NPW,
author = "Eve Bofinger and V. J. Bofinger",
title = "A note on the paper by {W. E. Thomson, on {\em ERNIE
--- a mathematical and statistical analysis}}",
journal = j-J-R-STAT-SOC,
volume = "A124",
number = "??",
pages = "240--243",
month = "????",
year = "1961",
CODEN = "????",
ISSN = "0952-8385",
bibdate = "Mon Jun 27 12:14:09 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Roy. Stat. Soc.",
fjournal = "Journal of the Royal Statistical Society",
HDnumber = "7",
journal-URL = "http://www.jstor.org/journals/09528385.html",
keywords = "ERNIE (Electronic Random Number Generator Indicator
Equipment)",
}
@Article{Bofinger:1961:RTS,
author = "Eve Bofinger and V. J. Bofinger",
title = "A Runs Test for Sequences of Random Digits",
journal = j-AUST-J-STAT,
volume = "3",
number = "2",
pages = "37--41",
month = aug,
year = "1961",
CODEN = "AUJSA3",
DOI = "https://doi.org/10.1111/j.1467-842X.1961.tb00307.x",
ISSN = "0004-9581",
ISSN-L = "0004-9581",
bibdate = "Fri Jul 15 14:27:36 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anzjs.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Australian Journal of Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-842X/issues",
}
@Article{Brandt:1961:GCT,
author = "A. Brandt",
title = "A generalization of a combinatorial theorem of {Sparre
Andersen} about sums of random variables",
journal = j-MATH-SCAND,
volume = "9",
pages = "325--358",
year = "1961",
CODEN = "MTSCAN",
ISSN = "0025-5521 (print), 1903-1807 (electronic)",
ISSN-L = "0025-5521",
bibdate = "Fri Jan 6 09:58:10 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Scandinavica",
journal-URL = "http://www.mscand.dk/issue/archive",
}
@Article{Butcher:1961:PTP,
author = "J. C. Butcher",
title = "A Partition Test for Pseudo-Random Numbers (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "15",
number = "74",
pages = "198--199",
month = apr,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
HDnumber = "10",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Butcher:1961:RSN,
author = "J. C. Butcher",
title = "Random sampling from the normal distribution",
journal = j-COMP-J,
volume = "3",
number = "4",
pages = "251--253",
month = jan,
year = "1961",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:55:25 MDT 2000",
bibsource = "Distributed/QLD.bib; Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_04/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_04/030251.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_04/tiff/251.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_04/tiff/252.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_03/Issue_04/tiff/253.tif",
acknowledgement = ack-nhfb,
date = "13/05/93",
descriptors = "RVG",
enum = "7085",
fjournal = "The Computer Journal",
HDnumber = "11",
journal-URL = "http://comjnl.oxfordjournals.org/",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@Article{Corrsin:1961:CLS,
author = "S. Corrsin and O. M. Phillips",
title = "Contour Length and Surface Area of Multiple-Valued
Random Variables",
journal = j-J-SIAM,
volume = "9",
number = "3",
pages = "395--404",
month = sep,
year = "1961",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Fisser:1961:STA,
author = "H. Fisser",
title = "Some tests applied to pseudo-random numbers generated
by {v. H{\"o}rner}'s rule",
journal = j-NUM-MATH,
volume = "3",
pages = "247--249",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
HDnumber = "28",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Greenberger:1961:NNP,
author = "Martin Greenberger",
title = "Notes on a New Pseudo-Random Number Generator",
journal = j-J-ACM,
volume = "8",
number = "2",
pages = "163--167",
month = apr,
year = "1961",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321062.321065",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:05:28 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "The IBM RNG!",
descriptors = "RNG; linear congruential generator",
fjournal = "Journal of the Association for Computing Machinery",
HDnumber = "41",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Greenberger:1961:PDS,
author = "Martin Greenberger",
title = "An a Priori Determination of Serial Correlation in
Computer Generated Random Numbers",
journal = j-MATH-COMPUT,
volume = "15",
number = "76",
pages = "383--389",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See also corrigenda, Math. Comp. {\bf 16} (1962), p.
126.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
HDnumber = "42",
journal-URL = "http://www.ams.org/mcom/",
}
@TechReport{Herrmann:1961:SER,
author = "R. G. Herrmann",
title = "The Statistical Evaluation of Random Number Generating
Sequences for Digital Computers",
type = "Report",
number = "APEX - 635",
institution = "General Electric Co.",
address = "????",
year = "1961",
bibdate = "Mon Jan 16 22:38:45 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "U.S. Dept. of Commerce, Office of Technical
Services.",
acknowledgement = ack-nhfb,
}
@Article{Hlawka:1961:FBV,
author = "Edmund Hlawka",
title = "{Funktionen von beschr{\"a}nkter Variation in der
Theorie der Gleichverteilung}. ({German}) [{Functions}
of bounded variation in the theory of uniform
distribution]",
journal = j-ANN-MAT-PURA-APPL-4,
volume = "54",
number = "??",
pages = "325--333",
month = "????",
year = "1961",
CODEN = "ANLMAE",
ISSN = "0003-4622",
MRclass = "10.33 (10.50)",
MRnumber = "0139597 (25 \#3029)",
MRreviewer = "W. J. LeVeque",
bibdate = "Thu Jan 19 08:35:26 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annali di matematica pura ed applicata. Series 4",
language = "German",
}
@Article{Kiefer:1961:LDE,
author = "J. Kiefer",
title = "On large deviations of the empiric d.f. of vector
chance variables and a law of the iterated logarithm",
journal = j-PAC-J-MATH,
volume = "11",
number = "??",
pages = "649--660",
month = "????",
year = "1961",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
bibdate = "Tue Dec 27 11:15:50 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Kuehn:1961:BPR,
author = "Heidi G. Kuehn",
title = "A $ 48 $-bit pseudo-random number generator",
journal = j-CACM,
volume = "4",
number = "8",
pages = "350--352",
month = aug,
year = "1961",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "68.00",
MRnumber = "26\#2034",
bibdate = "Fri Nov 25 18:19:34 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A new 48-bit pseudo-random number generator, suitable
for several computers, was tested statistically for
randomness to determine its adequacy for use in Monte
Carlo programs. Frequency tests, distributions of
certain low-order moments, runs up and down, and runs
above and below the mean were applied to one-half
million generated numbers lying within the interval $
(0, 1) $ and to three sets of integers obtained from
specified bits within the generated numbers. These
tests substantiated the randomness of all numbers
except for the set of integers coming from the least
significant bits.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
HDnumber = "66",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
ZMreviewer = "M. E. Muller",
}
@Article{Liniger:1961:MDH,
author = "Werner Liniger",
title = "On a Method by {D. H. Lehmer} for the Generation of
Pseudo Random Numbers",
journal = j-NUM-MATH,
volume = "3",
pages = "265--270",
month = dec,
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Tue Dec 21 16:29:06 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
HDnumber = "71",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Mamangakis:1961:MNR,
author = "S. E. Mamangakis",
title = "Mathematical Notes: Remarks on the {Fibonacci} Series
Modulo $m$",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "7",
pages = "648--649",
month = aug # "\slash " # sep,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:24 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
HDnumber = "74",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Manelis:1961:GRN,
author = "J. B. Manelis",
title = "Generating random noise",
journal = j-ELECTRONICS,
volume = "??",
number = "??",
pages = "66--69",
day = "8",
month = sep,
year = "1961",
ISSN = "0883-4989",
bibdate = "Thu Feb 02 17:48:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Electronics",
}
@Article{Marsaglia:1961:ERV,
author = "G. Marsaglia",
title = "Expressing a random variable in terms of uniform
random variables",
journal = j-ANN-MATH-STAT,
volume = "32",
number = "3",
pages = "894--898",
month = sep,
year = "1961",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177704983",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "65.15",
MRnumber = "23 \#B3122",
MRreviewer = "M. E. Muller",
bibdate = "Thu Dec 22 07:41:29 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
URL = "http://projecteuclid.org/euclid.aoms/1177704983;
http://www.jstor.org/stable/2237849",
ZMnumber = "0139.35604",
abstract = "This note suggests that expressing a distribution
function as a mixture of suitably chosen distribution
functions leads to improved methods for generating
random variables in a computer. The idea is to choose a
distribution function which is close to the original
and use it most of the time, applying the correction
only infrequently. Mixtures allow this to be done in
probability terms rather than in the more elaborate
ways of conventional numerical analysis, which must be
applied every time.",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "75",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
keywords = "probability theory",
}
@Article{Marsaglia:1961:GER,
author = "G. Marsaglia",
title = "Generating exponential random variables",
journal = j-ANN-MATH-STAT,
volume = "32",
number = "3",
pages = "899--900",
month = sep,
year = "1961",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177704984",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "65.15",
MRnumber = "23 \#B3123",
MRreviewer = "M. E. Muller",
bibdate = "Thu Dec 22 07:41:41 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
URL = "http://projecteuclid.org/euclid.aoms/1177704984;
http://www.jstor.org/stable/2237850",
ZMnumber = "0139.35603",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
HDnumber = "76",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
keywords = "probability theory",
}
@TechReport{Marsaglia:1961:PGN,
author = "George Marsaglia",
title = "Procedures for Generating Normal Random Variables,
{II}",
type = "Mathematical note",
number = "243",
institution = "Boeing Scientific Research Laboratories",
address = "Seattle, WA, USA",
month = oct,
year = "1961",
bibdate = "Tue Jun 21 18:56:22 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A method for generating a normal random variable in
terms of uniform random variables is described. The
method is based on representing a density function as a
mixture of simpler densities. It is fast and requires
little storage (60 constants). It is not quite as fast
as other methods, but it is simpler, with less chance
for prospective users being set adrift in a sea of
details",
acknowledgement = ack-nhfb,
HDnumber = "78",
}
@TechReport{Marsaglia:1961:RGR,
author = "G. Marsaglia",
title = "Remark on generating a random variable having a nearly
linear density function",
type = "Mathematical Note",
number = "242",
institution = "Boeing Scientific Research Labs",
address = "Seattle, WA, USA",
year = "1961",
bibdate = "Mon Jun 27 15:17:02 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "77",
}
@Article{Marsaglia:1961:SPT,
author = "George Marsaglia",
title = "Some probability theory associated with
clustered-rocket flights",
journal = j-PLANET-SPACE-SCI,
volume = "4",
number = "??",
pages = "194--201",
month = jan,
year = "1961",
CODEN = "PLSSAE",
DOI = "https://doi.org/10.1016/0032-0633(61)90132-5",
ISSN = "0032-0633 (print), 1873-5088 (electronic)",
ISSN-L = "0032-0633",
bibdate = "Wed Jun 22 06:45:09 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0032063361901325",
abstract = "The primary purpose of this note is to provide the
probability distribution of the amount of propellant
remaining in a cluster of rocket engines at the times
that the first and second burnouts occur. In addition,
various other random variables associated with the
random behavior of the engines of a cluster (pitch and
yaw moments, time between successive burnouts, etc.)
are discussed.",
acknowledgement = ack-nhfb,
fjournal = "Planetary and Space Science",
journal-URL = "http://www.sciencedirect.com/science/journal/00320633",
}
@Book{Orcutt:1961:MSS,
author = "Guy H. Orcutt and Martin Greenberger and John Korbel
and Alice M. Rivlin",
title = "Microanalysis of socioeconomic systems; a simulation
study",
publisher = "Harper",
address = "New York, NY, USA",
pages = "xviii + 425",
year = "1961",
LCCN = "H61 .O7",
bibdate = "Mon Jun 27 15:30:08 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
HDnumber = "91",
remark = "First of a series relating to the work of the Social
Systems Research Institute at the University of
Wisconsin.",
subject = "Social sciences; Simulation methods; United States;
Population; Working class",
}
@Article{Peach:1961:BPR,
author = "Paul Peach",
title = "Bias in pseudo-random numbers",
journal = j-J-AM-STAT-ASSOC,
volume = "56",
number = "295",
pages = "610--618",
month = sep,
year = "1961",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2282083",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
HDnumber = "97",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Pinkham:1961:DFS,
author = "Roger S. Pinkham",
title = "On the Distribution of First Significant Digits",
journal = j-ANN-MATH-STAT,
volume = "32",
number = "4",
pages = "1223--1230",
month = dec,
year = "1961",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177704862",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Sat May 31 09:10:59 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/annmathstat.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://links.jstor.org/sici?sici=0003-4851%28196112%2932%3A4%3C1223%3AOTDOFS%3E2.0.CO%3B2-T;
http://projecteuclid.org/euclid.aoms/1177704862;
http://www.jstor.org/stable/2237922",
abstract = "It has been noticed by astute observers that well used
tables of logarithms are invariably dirtier at the
front than at the back. Upon reflection one is led to
inquire whether there are more physical constants with
low order first significant digits than high. Actual
counts by Benford [2] show that not only is this the
case but that it seems to be an empirical truth that
whenever one has a large body of physical data,
Farmer's Almanac, Census Reports, Chemical Rubber
Handbook, etc., the proportion of these data with first
significant digit $n$ or less is approximately $
\log_{10}(n + 1) $. Any reader formerly unaware of this
``peculiarity'' will find an actual sampling experiment
wondrously tantalizing. Thus, for example,
approximately $ 0.7 $ of the physical constants in the
Chemical Rubber Handbook begin with $4$ or less ($
\log_{10}(4 + 1) = 0.699 $ ). This is to be contrasted
with the widespread intuitive evaluation $ 4 / 9 $
ths.",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law",
remark = "From p. 1223: ``\ldots{} the proportion of these data
with first significant digit $n$ or less is
approximately $ \log_{10}(n + 1) $.''\par
\ldots{} ``The only distribution for first significant
digits which is invariant under scale change of the
underlying distribution is $ \log_{10}(n + 1) $.
Contrary to suspicion this is a non-trivial
mathematical result, for the variable $n$ is
discrete.''.\par
From p. 1230: ``The foregoing results bear on questions
of round-off in computing machines. Since $ d(u v) = u
d v + v d u $, the error resulting from multiplying two
rounded numbers will be governed primarily by the first
significant digits of the two numbers being multiplied.
Now the distribution of first significant digits,
favoring as it does low order digits, tends to produce
less error than would be the case if first significant
digits were uniform as has sometimes been
assumed.''\par
Cited in \cite{Sterbenz:1974:FPC}.",
}
@Article{Rao:1961:GRP,
author = "C. Radhakrishna Rao",
title = "Generation of random permutations of given number of
elements using random sampling numbers",
journal = j-SANKHYA-A,
volume = "23",
number = "??",
pages = "305--307",
year = "1961",
CODEN = "SANABS",
ISSN = "0036-4452",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
HDnumber = "101",
}
@InProceedings{Richtmyer:1961:MCM,
author = "R. D. Richtmyer",
title = "{Monte Carlo} methods",
crossref = "Birkhoff:1961:NRT",
pages = "190--205",
year = "1961",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "104",
}
@Article{Riffenburgh:1961:RPI,
author = "Robert H. Riffenburgh",
title = "Recent Publications: {{\em Introduction to Probability
and Random Variables}}, by {George P. Wadsworth and
Joseph G. Bryan}",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "5",
pages = "518--518",
month = may,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:19 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Sibuya:1961:EOR,
author = "Masaaki Sibuya",
title = "On exponential and other random variable generators",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "13",
number = "1",
pages = "231--237",
month = dec,
year = "1961",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/BF02868873",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 16:59:46 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.springer.com/article/10.1007/BF02868873",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@Book{Solomon:1961:SIA,
editor = "Herbert Solomon",
title = "Studies in item analysis and prediction",
volume = "6",
publisher = pub-STANFORD,
address = pub-STANFORD:adr,
pages = "310",
year = "1961",
LCCN = "BF39 .S64",
bibdate = "Mon Jun 27 15:52:30 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "With contributions by Rosedith Sitgreaves and
others.",
series = "Stanford mathematical studies in the social sciences",
acknowledgement = ack-nhfb,
HDnumber = "112",
subject = "Psychometrics; Prediction (Psychology); Psychological
tests",
}
@Book{Wendel:1961:LMC,
author = "James G. Wendel",
title = "Lectures on {Monte Carlo}: University of Michigan
Summer Session Courses on Numerical Analysis",
publisher = pub-U-MICHIGAN,
address = pub-U-MICHIGAN:adr,
pages = "??--??",
year = "1961",
LCCN = "????",
bibdate = "Mon Jun 27 16:25:40 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "139",
}
@Article{Wouk:1961:DDR,
author = "Arthur Wouk",
title = "On Digit Distributions for Random Variables",
journal = j-J-SIAM,
volume = "9",
number = "4",
pages = "597--603",
month = dec,
year = "1961",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Barnett:1962:BPR,
author = "V. D. Barnett",
title = "The Behavior of Pseudo-Random Sequences Generated on
Computers by the Multiplicative Congruential Method",
journal = j-MATH-COMPUT,
volume = "16",
number = "77",
pages = "63--69",
month = jan,
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/pdfplus/2003811.pdf",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
HDnumber = "1",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Behrenz:1962:AR,
author = "Peter G. Behrenz",
title = "{Algorithm 133}: {RANDOM}",
journal = j-CACM,
volume = "5",
number = "11",
pages = "553--553",
month = nov,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:42 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Behrenz:1962:RAR,
author = "Peter G. Behrenz",
title = "Remark on {Algorithm 133}: {Random}",
journal = j-CACM,
volume = "5",
number = "12",
pages = "606--606",
month = dec,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:43 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Clark:1962:CMM,
author = "G. Miller Clark",
title = "Corrections to {Mervin E. Muller, {\em A Note on a
Method for Generating Points Uniformly on
$N$-Dimensional Spheres}}",
journal = j-MATH-COMPUT,
volume = "16",
number = "78",
pages = "261--261",
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jun 27 14:07:07 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Muller:1959:NMG}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
HDnumber = "2'",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Dillard:1962:EGR,
author = "G. M. Dillard and R. E. Simmons",
title = "An Electronic Generator of Random Numbers",
journal = j-IRE-TRANS-ELEC-COMPUT,
volume = "EC-11",
number = "2",
pages = "284--284",
month = apr,
year = "1962",
CODEN = "IRELAO",
DOI = "https://doi.org/10.1109/TEC.1962.5219362",
ISSN = "0367-9950",
bibdate = "Thu Jul 14 09:11:50 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See comments \cite{Barnes:1963:CEG}.",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219362",
acknowledgement = ack-nhfb,
fjournal = "IRE Transactions on Electronic Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5407885",
}
@Article{Fan:1962:DSP,
author = "C. T. Fan and Mervin E. Muller and Ivan Rezucha",
title = "Development of Sampling Plans by Using Sequential
(Item by Item) Selection Techniques and Digital
Computers",
journal = j-J-AM-STAT-ASSOC,
volume = "57",
number = "298",
pages = "387--402",
month = jun,
year = "1962",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:36 MST 2012",
bibsource = "Database/Wiederhold.bib;
http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314179;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2281647",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
remark = "The authors discuss an algorithm for sampling $n$ of
$N$ values, with time cost $ O(N) $. See
\cite{Rouzankin:1999:CAR} for a discussion of this
algorithm, and others, one with storage cost $ O(N) $
and time $ O(n) $, a second with storage cost $ O(n) $
and time cost $ O(n^2) $, and more complex algorithms
with time cost $ O(n \log n) $ and $ O(n) $. See also
\cite{Bentley:1980:GSL} for a short algorithm with
worst case time $ O(n) $ with storage $ O(1) $ (with
immediate output) or $ O(n) $ with array output, and
the selected values are sorted.",
}
@Article{Foster:1962:MRS,
author = "Malcolm B. Foster",
title = "A method of representation, storage and retrieval of $
13 $ random codes in a $4$-digit number or $ 16 $
random codes in a $5$-digit number",
journal = j-CACM,
volume = "5",
number = "3",
pages = "165--165",
month = mar,
year = "1962",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:37 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@TechReport{Franklin:1962:DSR,
author = "Joel N. Franklin",
title = "Deterministic simulation of random processes",
type = "Technical Report",
number = "118",
institution = "Computing Center, California Institute of Technology",
address = "Pasadena, CA, USA",
year = "1962",
bibdate = "Mon Jun 27 16:38:27 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "3'",
}
@InBook{Galler:1962:RNG,
author = "Bernard A. Galler",
booktitle = "The Language of Computers",
title = "Random number generators",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
bookpages = "x + 244",
pages = "56--59",
year = "1962",
LCCN = "QA76.5 .G3",
bibdate = "Mon Jan 16 22:35:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
subject = "MAD (Computer program language); Programming languages
(Electronic computers)",
}
@Article{Gordon:1962:SND,
author = "Basil Gordon and W. H. Mills and L. R. Welch",
title = "Some new difference sets",
journal = j-CAN-J-MATH,
volume = "14",
number = "??",
pages = "614--625",
month = "????",
year = "1962",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1962-052-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:31 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v14/;
https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Book{Hamming:1962:NMS,
author = "R. W. (Richard Wesley) Hamming",
title = "Numerical methods for scientists and engineers",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xvii + 411",
year = "1962",
LCCN = "QA297 .H28",
MRclass = "65.00",
MRnumber = "0137279",
MRreviewer = "G. E. Forsythe",
bibdate = "Mon Aug 6 07:24:38 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "International Series in Pure and Applied Mathematics",
acknowledgement = ack-nhfb,
HDnumber = "51",
remark = "Cited in \cite{Sterbenz:1974:FPC}.",
subject = "Numerical analysis; Electronic digital computers;
random numbers",
tableofcontents = "1. The difference calculus \\
2. Roundoff noise \\
3. The summation calculus \\
4. Evaluation of infinite series \\
5. Finite difference equations \\
6. The finite Fourier series \\
7--9. Polynomial approximation introduction \\
10. A uniform method for finding formulas \\
11. On finding the error term of a formula \\
12. Formulas for definite integrals \\
13. Indefinite integrals \\
14. Introduction to differential equations \\
15. A general theory of predictor-corrector methods \\
16. Special methods of integrating ordinary
differential equations \\
17--18. Least squares theory and practice \\
19. Chebyshev polynomials \\
20. Rational functions \\
21--22. Periodic functions --- Fourier series \\
23. Nonperiodic functions --- the Fourier integral \\
24. Linear filters --- smoothing and differentiating
\\
25. Integrals and differential equations \\
26. Exponential approximation \\
27. Singularities \\
28. On finding zeros \\
29. Simultaneous linear algebraic equations \\
30. Inversion of matrices and eigenvalues \\
31. Some examples of the simulation of situations and
processes \\
32. Random numbers and Monte Carlo methods \\
$N+1$: The art of computing for scientists and
engineers",
}
@Article{Hlawka:1962:ABM,
author = "Edmund Hlawka",
title = "{Zur angen{\"a}herten Berechnung mehrfacher
Integrale}. ({German}) [{Toward} approximate
calculation of multiple integrals]",
journal = j-MONAT-MATH,
volume = "66",
number = "2",
pages = "140--151",
month = apr,
year = "1962",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/BF01387711",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "65.55",
MRnumber = "0143329 (26 \#888)",
MRreviewer = "J. F. Koksma",
bibdate = "Thu Jan 19 08:38:21 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/content/g5m4457x5525866p/",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
language = "German",
}
@Article{Hull:1962:RNG,
author = "T. E. Hull and A. R. Dobell",
title = "Random Number Generators",
journal = j-SIAM-REVIEW,
volume = "4",
number = "3",
pages = "230--254",
month = jul,
year = "1962",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1004061",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Wed Jun 22 07:53:49 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/?SIR/4/230/1;
https://dspace.library.uvic.ca:8443/bitstream/handle/1828/3142/Random_Number_Generators.pdf?sequence=3",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@TechReport{Marsaglia:1962:FPG,
author = "G. Marsaglia and M. D. Maclaren and T. A. Bray",
title = "A Fast Procedure for Generating Normal Random
Variables",
type = "Mathematical note",
number = "282",
institution = "Boeing Scientific Research Laboratories",
address = "Seattle, WA, USA",
month = aug,
year = "1962",
bibdate = "Tue Jun 21 18:58:31 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/cgi-bin/GetTRDoc?Location=U2&doc=GetTRDoc.pdf&AD=AD0296195",
abstract = "A discussion is given of the generation of normal
random variables very rapidly in a computer --- for
example, at the rate of 10,000--15,000 per second in
the IBM 7090. The method is suitable for any computer.
The incorporation of successive improvements has led to
a procedure which is fairly easy to program, requires
little storage, 300--400 constants, is very fast (it
takes about as long to generate the normal $x$ as the
uniform $u$ from which it comes), and is completely
accurate, in the sense that in theory the procedure
returns a random variable with exactly the required
distribution; in practice the result is an
approximation influenced only by the capacity (word
length) of the computer.",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1962:IPM,
author = "George Marsaglia",
title = "Improving the Polar Method for Generating a Pair of
Normal Random Variables",
type = "Technical report",
number = "D1-82-0203",
institution = "Boeing Scientific Research Laboratories",
address = "Seattle, WA, USA",
month = sep,
year = "1962",
bibdate = "Tue Jun 21 18:17:38 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1962:RVC,
author = "George Marsaglia",
title = "Random Variables and Computers",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "??",
month = may,
year = "1962",
bibdate = "Wed Nov 12 07:29:32 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0278358",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1962:SPG,
author = "George Marsaglia and T. A. Bray",
title = "A small procedure for generating normal random
variables",
type = "Mathematical note",
number = "283",
institution = "Boeing Scientific Research Labs",
address = "Seattle, WA, USA",
pages = "??",
month = nov,
year = "1962",
bibdate = "Wed Jun 22 09:24:42 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{MendesFrance:1962:CMF,
author = "M. {Mend{\`e}s France}",
title = "Calcul des moyennes des fonctions al{\'e}atoires ou
pseudo-al{\'e}atoires par {\'e}chantillonnage.
({French}) [Averaging functions of random or
pseudo-random sampling]",
journal = "Publ. Inst. Statist. Univ. Paris",
volume = "11",
number = "??",
pages = "225--256",
month = "????",
year = "1962",
CODEN = "????",
ISSN = "????",
MRnumber = "MR 150793",
bibdate = "Thu Jan 19 07:14:23 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Pathria:1962:SSR,
author = "R. K. Pathria",
title = "A Statistical Study of Randomness Among the First $
10, 000 $ Digits of $ \pi $",
journal = j-MATH-COMPUT,
volume = "16",
number = "78",
pages = "188--197",
month = apr,
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
HDnumber = "5'",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Richtmyer:1962:CFE,
author = "R. D. Richtmyer and Marjorie Devaney and N.
Metropolis",
title = "Continued fraction expansions of algebraic numbers",
journal = j-NUM-MATH,
volume = "4",
pages = "68--84",
month = dec,
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "10.09",
MRnumber = "MR0136574 (25 \#44)",
MRreviewer = "H. Cohn",
bibdate = "Thu Dec 22 07:42:20 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0101.28101",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
HDnumber = "105",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Scheuer:1962:GNR,
author = "E. M. Scheuer and D. S. Stoller",
title = "On the Generation of Normal Random Vectors",
journal = j-TECHNOMETRICS,
volume = "4",
number = "??",
pages = "278--281",
month = "????",
year = "1962",
CODEN = "TCMTA2",
ISSN = "0040-1706 (print), 1537-2723 (electronic)",
ISSN-L = "0040-1706",
bibdate = "Thu Jan 05 10:58:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Technometrics",
journal-URL = "http://www.jstor.org/journals/00401706.html;
http://www.tandfonline.com/loi/utch20",
}
@Article{Shanks:1962:CD,
author = "Daniel Shanks and John W. {Wrench, Jr.}",
title = "Calculation of $ \pi $ to 100,000 Decimals",
journal = j-MATH-COMPUT,
volume = "16",
number = "77",
pages = "76--99",
month = jan,
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
HDnumber = "110",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Sibuya:1962:FCN,
author = "Masaaki Sibuya",
title = "Further consideration on normal random variable
generator",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "14",
number = "1",
pages = "159--165",
month = dec,
year = "1962",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/BF02868636",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 16:59:47 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.springer.com/article/10.1007/BF02868636",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Spanier:1962:UAM,
author = "J. Spanier",
title = "A Unified Approach to {Monte Carlo} methods and an
Application to a Multigroup Calculation of Absorption
Rates",
journal = j-SIAM-REVIEW,
volume = "4",
number = "2",
pages = "115--134",
month = apr,
year = "1962",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1004030",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:04:51 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/4/2;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://www.jstor.org/stable/2028365",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
HDnumber = "113",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "April 1962",
}
@Book{Todd:1962:SNA,
editor = "John Todd",
title = "Survey of Numerical Analysis",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xvi + 589",
year = "1962",
LCCN = "????",
bibdate = "Mon Jun 27 16:07:06 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "126",
}
@Book{Walsh:1962:HNS,
author = "J. E. Walsh",
title = "Handbook of Nonparametric Statistics",
publisher = "Van Nostrand",
address = "Princeton, NJ, USA",
pages = "xxvi + 549",
year = "1962",
LCCN = "QA278.8 .W34",
bibdate = "Mon Jan 16 22:37:08 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "Tests of randomness",
}
@Article{Allard:1963:MCR,
author = "J. L. Allard and A. R. Dobell and T. E. Hull",
title = "Mixed Congruential Random Number Generators for
Decimal Machines",
journal = j-J-ACM,
volume = "10",
number = "2",
pages = "131--141",
month = apr,
year = "1963",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321160.321163",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Sat Nov 05 22:55:28 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
xxmonth = "none",
xxnumber = "none",
}
@Article{Anonymous:1963:BRBd,
author = "Anonymous",
title = "Book Review: {{\booktitle{Random Variables and
Probability Distributions}} by H. Cram{\'e}r}",
journal = j-BIOMETRIKA,
volume = "50",
number = "1/2",
pages = "232--233",
month = jun,
year = "1963",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2333784",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 14:33:11 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315447;
https://www.math.utah.edu/pub/tex/bib/biometrika1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2333784",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://www.jstor.org/journals/00063444.html",
}
@Article{Barnes:1963:CEG,
author = "George H. Barnes",
title = "Comment on {``An Electronic Generator of Random
Numbers''}",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-12",
number = "1",
pages = "22--22",
month = feb,
year = "1963",
CODEN = "IEECA8",
DOI = "https://doi.org/10.1109/PGEC.1963.263393",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 08:10:36 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Dillard:1962:EGR}.",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037766",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Bolshev:1963:APT,
author = "L. N. Bol'shev",
title = "Asymptotically {Pearson} Transformations",
journal = j-THEORY-PROBAB-APPL,
volume = "8",
number = "2",
pages = "121--146",
month = "????",
year = "1963",
CODEN = "TPRBAU",
DOI = "https://doi.org/10.1137/1108012",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Tue Apr 1 10:34:47 MDT 2014",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/8/2;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
onlinedate = "January 1963",
}
@Article{DeMatteis:1963:SAP,
author = "A. {De Matteis} and B. Faleschini",
title = "Some arithmetical properties in connection with
pseudo-random numbers",
journal = j-BOLL-UNIONE-MAT-ITAL,
volume = "18",
number = "??",
pages = "171--184",
month = "????",
year = "1963",
CODEN = "BLUMAM",
ISSN = "0041-7084",
bibdate = "Fri Jan 6 10:17:45 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Bollettino della Unione matematica italiana",
}
@Article{Firestone:1963:CNU,
author = "C. D. Firestone and J. E. Hanson",
title = "Classroom Notes: Uncorrelated {Gaussian} Dependent
Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "6",
pages = "659--660",
month = jun # "\slash " # jul,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:09 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Book{Fisher:1963:STB,
author = "{Sir} Ronald Aylmer Fisher and Frank Yates",
title = "Statistical Tables for Biological, Agricultural and
Medical Research",
publisher = pub-OLIVER-BOYD,
address = pub-OLIVER-BOYD:adr,
edition = "Sixth",
pages = "x + 146",
year = "1963",
ISBN = "0-05-000872-2, 0-582-44525-6",
ISBN-13 = "978-0-05-000872-0, 978-0-582-44525-3",
LCCN = "QH324 .F52 1963",
bibdate = "Mon Jun 29 11:28:52 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fisher-ronald-aylmer.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "Sir Ronald Aylmer Fisher (17 February 1890--29 July
1962)",
remark = "This book contains one of the early pre-computer
tabulations of pseudorandom numbers.",
subject = "Statistics; Charts, diagrams, etc",
xxaddress = "Burnt Mill, UK",
xxpublisher = "Longman",
}
@Article{Franklin:1963:DSR,
author = "Joel N. Franklin",
title = "Deterministic Simulation of Random Processes",
journal = j-MATH-COMPUT,
volume = "17",
number = "81",
pages = "28--59",
month = jan,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/2003733",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gabai:1963:DCSa,
author = "H. Gabai",
title = "On the discrepancy of certain sequences $ \bmod 1 $",
journal = "Nederl. Akad. Wetensch. Proc. Ser. A",
volume = "66",
number = "??",
pages = "603--605",
month = "????",
year = "1963",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 19 06:46:36 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0129.03102",
acknowledgement = ack-nhfb,
fjournal = "Nederlandse Akademie van Wetenschappen. Proceedings.
Series A. Indagationes Mathematicae",
}
@Article{Gabai:1963:DCSb,
author = "H. Gabai",
title = "On the discrepancy of certain sequences $ \bmod 1 $",
journal = j-INDAG-MATH,
volume = "25",
number = "??",
pages = "603--605",
month = "????",
year = "1963",
CODEN = "IMTHBJ",
ISSN = "0019-3577, 0023-3358",
ISSN-L = "0019-3577",
MRnumber = "MR 155812",
bibdate = "Thu Jan 19 06:46:36 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Indagationes Mathematic{\ae}",
}
@Article{George:1963:ANR,
author = "R. George",
title = "{Algorithm 200}: {Normal} Random",
journal = j-CACM,
volume = "6",
number = "8",
pages = "444",
month = aug,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 08 09:31:40 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See also \cite{Pike:1965:CAGb}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Gill:1963:WDP,
author = "Arthur Gill",
title = "On a Weight Distribution Problem, with Application to
the Design of Stochastic Generators",
journal = j-J-ACM,
volume = "10",
number = "1",
pages = "110--122",
month = jan,
year = "1963",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321150.321159",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Sat Nov 05 22:55:28 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Hoeffding:1963:PIS,
author = "Wassily Hoeffding",
title = "Probability inequalities for sums of bounded random
variables",
journal = j-J-AM-STAT-ASSOC,
volume = "58",
number = "301",
pages = "13--30",
month = mar,
year = "1963",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Fri Jan 6 09:58:25 2012",
bibsource = "Ai/colt.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2282952",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Jagerman:1963:AFS,
author = "David L. Jagerman",
title = "The autocorrelation function of a sequence uniformly
distributed modulo $1$",
journal = j-ANN-MATH-STAT,
volume = "34",
number = "4",
pages = "1243--1252",
month = dec,
year = "1963",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Mon Jan 16 22:32:42 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2238334",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Kolmogorov:1963:TRN,
author = "A. N. Kolmogorov",
title = "On tables of random numbers",
journal = j-SANKHYA-A,
volume = "25",
number = "??",
pages = "369--376",
month = "????",
year = "1963",
CODEN = "SANABS",
ISSN = "0036-4452",
bibdate = "Mon Jan 16 22:33:13 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
}
@Article{Laughlin:1963:RAR,
author = "Donald L. Laughlin",
title = "Remark on {Algorithm 133}: {Random}",
journal = j-CACM,
volume = "6",
number = "3",
pages = "105--105",
month = mar,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:45 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@TechReport{MacLaren:1963:FPG,
author = "M. D. MacLaren and G. Marsaglia and T. A. Bray",
title = "A Fast Procedure for Generating Exponential Random
Variables",
type = "Report",
number = "??",
institution = "Boeing Scientific Research Labs",
address = "Seattle, WA, USA",
pages = "??",
month = jan,
year = "1963",
bibdate = "Tue Jun 21 18:58:31 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A very fast method for generating exponential random
variables in a digital computer is presented. The
method is exact, in the sense that in theory it returns
a random variable with exactly the exponential
distribution. In practice the result is an
approximation, but the accuracy of the approximation
depends only on the word length of the computer.",
acknowledgement = ack-nhfb,
remark = "Published in \cite{MacLaren:1964:FPG}.",
}
@TechReport{Magleby:1963:SNF,
author = "K. B. Magleby",
title = "The synthesis of nonlinear feedback shift registers",
type = "Report",
number = "TR 6207-1",
institution = "Stanford Electronics Laboratory",
address = "Stanford, CA, USA",
year = "1963",
bibdate = "Tue Feb 07 11:14:29 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Marsaglia:1963:GDR,
author = "G. Marsaglia",
title = "Generating discrete random variables in a computer",
journal = j-CACM,
volume = "6",
number = "1",
pages = "37--38",
month = jan,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:44 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
country = "USA",
descriptors = "RVG",
enum = "7628",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@TechReport{Marsaglia:1963:RNF,
author = "George Marsaglia",
title = "Random numbers fall mainly in the planes",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "9",
month = aug,
year = "1963",
bibdate = "Wed Nov 12 07:42:28 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0685578",
abstract = "Most of the world's computer centers use congruential
random number generators. This note points out that
such random number generators produce points in $ 2, 3,
4, \ldots {} $ dimensions which are too regular for
many Monte Carlo calculations. The trouble is that the
points fall exactly on a lattice with quite a gross
structure. The paper gives details of the degree of
regularity of such generators in terms of sets of
relatively few parallel hyperplanes which contain all
of the points produced by the generator.",
acknowledgement = ack-nhfb,
}
@Book{Moses:1963:TRP,
author = "Lincoln E. Moses and Robert V. Oakford",
title = "Tables of random permutations",
publisher = pub-STANFORD,
address = pub-STANFORD:adr,
pages = "233",
year = "1963",
LCCN = "QA165 .M6",
bibdate = "Thu Mar 1 08:41:02 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Permutations; Tables; Stochastic processes",
}
@Article{Poore:1963:CAR,
author = "Jesse H. {Poore, Jr.}",
title = "Certification of {Algorithm 133}: {Random}",
journal = j-CACM,
volume = "6",
number = "4",
pages = "167--167",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:46 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Tucker:1963:QCS,
author = "Howard G. Tucker",
title = "Quasi-Convergent Series of Independent Random
Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "718--722",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ahsanullah:1964:RVE,
author = "Mohammad Ahsanullah",
title = "Record values of exponentially distributed random
variables",
journal = j-STAT-PAPERS,
volume = "22",
number = "2",
pages = "121--127",
month = jun,
year = "1964",
CODEN = "STPAE4",
DOI = "https://doi.org/10.1007/BF02933548",
ISSN = "0932-5026 (print), 1613-9798 (electronic)",
ISSN-L = "0932-5026",
bibdate = "Sun Feb 1 10:11:57 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/statpapers.bib",
URL = "http://link.springer.com/article/10.1007/BF02933548",
acknowledgement = ack-nhfb,
fjournal = "Statistical Papers",
journal-URL = "http://link.springer.com/journal/362",
}
@Article{Alanen:1964:TFF,
author = "J. D. Alanen and Donald E. Knuth",
title = "Tables of finite fields",
journal = j-SANKHYA-A,
volume = "26",
number = "??",
pages = "305--328",
year = "1964",
CODEN = "SANABS",
ISSN = "0036-4452",
MRclass = "12.20 (33.00)",
MRnumber = "32 #4122",
MRreviewer = "J. J. Stone",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
}
@Article{Bekessy:1964:RBD,
author = "Andr{\'a}s B{\'e}k{\'e}ssy",
title = "Remarks on beta distributed random numbers",
journal = "Magyar Tud. Akad. Mat. Kutat{\'o} Int. K{\"o}zl.",
volume = "9",
pages = "565--571",
year = "1964",
MRclass = "65.15",
MRnumber = "MR0195232 (33 #3435)",
MRreviewer = "J. H. Halton",
bibdate = "Thu Mar 8 21:21:07 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
remark = "Publications of the Mathematical Institute of the
Hungarian Academy of Sciences, Series B, Fascicle 4",
}
@Article{Brillinger:1964:BRI,
author = "David R. Brillinger",
title = "Book Reviews: {{\em Information and Information
Stability of Random Variables and Processes}}, by {M.
S. Pinsker} and {Amiel Feinstein}",
journal = j-APPL-STAT,
volume = "13",
number = "2",
pages = "134--135",
year = "1964",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:18:17 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@TechReport{Chow:1964:RNG,
author = "D. K. Chow",
title = "Random number generator test procedures applied to a
modified, multiplicative, congruential generator
method",
number = "UIUCDCS-R-1964-612",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
year = "1964",
bibdate = "Tue Mar 06 20:45:41 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Durstenfeld:1964:ARP,
author = "Richard Durstenfeld",
title = "{Algorithm 235}: {Random} permutation",
journal = j-CACM,
volume = "7",
number = "7",
pages = "420--420",
month = jul,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/364520.364540",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:54 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Esmenjaud-Bonnardel:1964:PGN,
author = "M. Esmenjaud-Bonnardel",
title = "Un proc{\'e}d{\'e} de g{\'e}n{\'e}ration de nombres
`pseudo-al{\'e}atoires' pour {CAB 500}. ({French}) [{A}
procedure for the generation of pseudorandom numbers on
the {CAB 500}]",
journal = j-CHIFFRES,
volume = "7",
number = "??",
pages = "185--197",
month = "????",
year = "1964",
CODEN = "????",
ISSN = "0245-9922",
bibdate = "Mon Jan 16 22:28:42 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Chiffres: Revue de l'Association fran{\c{c}}aise de
Calcul",
language = "French",
xxISSN = "0556-7823",
xxjournal = "Revue Fran{\c{c}}aise de Traitement de l'Information",
}
@Article{Gebhardt:1964:GND,
author = "Friedrich Gebhardt",
title = "Generating Normally Distributed Random Numbers by
Inverting the Normal Distribution Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "18",
number = "86",
pages = "302--306",
month = apr,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Distributed/QLD.bib; Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7308",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@Article{Halton:1964:ARI,
author = "J. H. Halton",
title = "{Algorithm 247}: {Radical}-inverse quasi-random point
sequence",
journal = j-CACM,
volume = "7",
number = "12",
pages = "701--702",
month = dec,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:57 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Hammer:1964:GRN,
author = "C. Hammer and L. Green",
title = "Generation of Random Numbers",
journal = "Instruments and Control Systems",
volume = "37",
number = "5",
pages = "149--150",
month = "????",
year = "1964",
CODEN = "INCSA7",
ISSN = "0020-4404",
bibdate = "Mon Jan 16 22:29:24 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Book{Hammersley:1964:MCM,
author = "J. M. Hammersley and D. C. Handscomb",
title = "{Monte Carlo} methods",
publisher = "Methuen",
address = "London, UK",
pages = "vii + 178",
year = "1964",
LCCN = "QA273 .H354 1964",
bibdate = "Fri Jan 06 10:30:48 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Methuen's monographs on applied probability and
statistics",
acknowledgement = ack-nhfb,
remark = "Co-published by Wiley.",
tableofcontents = "1. The general nature of Monte Carlo methods \\
2. Short resume of statistical terms \\
3. Random, pseudorandom, and quasirandom numbers \\
4. Direct simulation \\
S. General principles of the Monte Carlo method \\
6. Conditioned Monte Carlo \\
7. Solution of linear operator equations \\
8. Radiation shielding and reactor criticality \\
9. Problems in statistical mechanics \\
10. Long polymer molecules \\
11. Percolation processes \\
12. Multivariate problems",
}
@Article{Hull:1964:MCR,
author = "T. E. Hull and A. R. Dobell",
title = "Mixed Congruential Random Number Generators for Binary
Machines",
journal = j-J-ACM,
volume = "11",
number = "1",
pages = "31--40",
month = jan,
year = "1964",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321203.321208",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Nov 03 22:33:52 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Random number generators of the mixed congruential
type have recently been proposed. They appear to have
some advantages over those of the multiplicative type,
except that their statistical behavior is
unsatisfactory in some cases. It is shown theoretically
that a certain class of these mixed generators should
be expected to fail statistical tests for randomness.
Extensive testing confirms this hypothesis and makes
possible a more precise definition of the
unsatisfactory class. It is concluded that the
advantages of mixed generators can be realized only in
special circumstances. On machines with relatively
short multiplication times the multiplicative
generators are to be preferred.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Jagerman:1964:AJD,
author = "David L. Jagerman",
title = "The Autocorrelation and Joint Distribution Functions
of the Sequences $ \bigg \{ \frac {a}{m}j^2 \bigg \},
\bigg \{ \frac {a}{m}(j + \tau)^2 \bigg \} $",
journal = j-MATH-COMPUT,
volume = "18",
number = "86",
pages = "211--232",
month = apr,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Jansson:1964:ABP,
author = "Birger Jansson",
title = "Autocorrelations between Pseudo-Random Numbers",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "4",
number = "1",
pages = "6--27",
month = mar,
year = "1964",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01939521",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:08 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=4&issue=1;
https://www.math.utah.edu/pub/tex/bib/bit.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=4&issue=1&spage=6",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Jansson:1964:GRB,
author = "Birger Jansson",
title = "Generation of Random Bivariate Normal Deviates and
Computation of Related Integrals",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "4",
number = "4",
pages = "205--212",
month = dec,
year = "1964",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01939512",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:08 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=4&issue=4;
https://www.math.utah.edu/pub/tex/bib/bit.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=4&issue=4&spage=205",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Johnk:1964:EBG,
author = "M. D. J{\"o}hnk",
title = "{Erzeugung von betaverteilten und gammaverteilten
Zufallszahlen}. ({German}) [{Production} of beta- and
gamma-distributed random numbers]",
journal = j-METRIKA,
volume = "8",
number = "1",
pages = "5--15",
month = dec,
year = "1964",
CODEN = "MTRKA8",
DOI = "https://doi.org/10.1007/BF02613706",
ISSN = "0026-1335 (print), 1435-926X (electronic)",
ISSN-L = "0026-1335",
bibdate = "Mon Feb 2 16:27:32 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/metrika.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.springer.com/article/10.1007/BF02613706",
ZMnumber = "0117.13203",
acknowledgement = ack-nhfb,
fjournal = "Metrika",
journal-URL = "http://link.springer.com/journal/184",
keywords = "{probability theory}",
language = "German",
}
@Article{Kronmal:1964:EPN,
author = "Richard Kronmal",
title = "Evaluation of a Pseudorandom Normal Number Generator",
journal = j-J-ACM,
volume = "11",
number = "3",
pages = "357--363",
month = jul,
year = "1964",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321229.321238",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Tue Nov 1 00:45:35 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
descriptors = "RVG",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@InProceedings{Liu:1964:MFS,
author = "R. Liu and J. Massey",
editor = "????",
booktitle = "Proceedings of the 2nd Allerton Conference on Circuit
and System Theory. University of Illinois, Urbana,
1964",
title = "Monotone feedback shift registers",
publisher = "????",
address = "????",
pages = "860--874",
year = "1964",
LCCN = "????",
bibdate = "Tue Feb 07 11:12:28 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{MacLaren:1964:FPG,
author = "M. D. MacLaren and G. Marsaglia and T. A. Bray",
title = "A fast procedure for generating exponential random
variables",
journal = j-CACM,
volume = "7",
number = "5",
pages = "298--300",
month = may,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:53 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0127.09101",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7614",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "numerical analysis; PRNG (pseudo-random number
generator)",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@Article{Marsaglia:1964:CMG,
author = "G. Marsaglia and T. A. Bray",
title = "A Convenient Method for Generating Normal Variables",
journal = j-SIAM-REVIEW,
volume = "6",
number = "3",
pages = "260--264",
month = "????",
year = "1964",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1006063",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65.15",
MRnumber = "30 \#2660",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Mar 27 09:05:15 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/6/3;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
MathSciNet database",
URL = "http://www.jstor.org/stable/2027592",
ZMnumber = "0125.08001",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
keywords = "numerical analysis",
onlinedate = "July 1964",
}
@Article{Marsaglia:1964:FPG,
author = "G. Marsaglia and M. D. MacLaren and T. A. Bray",
title = "A fast procedure for generating normal random
variables",
journal = j-CACM,
volume = "7",
number = "1",
pages = "4--10",
month = jan,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363872.363883",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:51 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0127.09005",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7637",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "numerical analysis; PRNG (pseudo-random number
generator)",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@TechReport{Marsaglia:1964:MPR,
author = "George Marsaglia",
title = "A Method for Producing Random Variables in a
Computer",
type = "Mathematical note",
number = "342",
institution = "Boeing Scientific Research Laboratories",
address = "Seattle, WA, USA",
pages = "13",
month = feb,
year = "1964",
bibdate = "Tue Jun 21 18:14:31 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "This paper describes a general procedure for producing
random variables in a computer. The idea is to
represent the required $X$ in the form: $ X = C (M +
U_1 + U_2 + U_3) $, some 97--99\% of the time, where c
is constant, $M$ is a discrete random variable taking
perhaps $8$ values, and the $U$'s are uniform random
variables; the other 1--3\% of the time, $X$ is
generated from a residual density by the rejection
technique. These two methods for producing $X$ are
combined in the proper proportions in order that the
resulting distribution for $X$ be correct. The method
is general in that it applies to a wide variety of
density functions. Programs based on this procedure are
very fast and require little computer storage space ---
typically, 18 constants and 20 instructions.",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1964:RDA,
author = "George Marsaglia",
title = "The Radiation Dose Accumulated by Blood Diverted
Through a Shunt",
type = "Mathematical note",
number = "357",
institution = "Boeing Scientific Research Laboratories",
address = "Seattle, WA, USA",
pages = "8",
month = jul,
year = "1964",
bibdate = "Tue Jun 21 19:32:04 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Modern techniques have made it possible to divert a
portion of the circulating blood through a shunt
outside the body --- for example in heart-lung
machines, artificial kidneys, and coiled tubes where
the blood may be exposed to radiation without danger to
body tissues. There is some probability theory
connected with such procedures, for the cells of the
blood are thoroughly mixed in the body, and hence the
number of times a blood cell passes through the shunt
is a random variable. Several papers have been written
to describe such systems by differential equations;
this paper discusses the problem directly in terms of
probability theory, finding the exact distribution of
the number of times a blood cell has passed through the
shunt and, in addition, a normal approximation which
makes calculation of accumulated doses a matter of
simple arithmetic.",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1964:RNV,
author = "George Marsaglia",
title = "Ratios of normal variables and ratios of sums of
variables",
type = "Mathematical note",
number = "D1-82-0348",
institution = "Mathematics Research Laboratory, Boeing Scientific
Research Laboratories",
address = "Seattle, WA, USA",
pages = "iii + 13 + 3",
month = apr,
year = "1964",
bibdate = "Wed Nov 12 07:14:08 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0600972;
http://www.dtic.mil/dtic/tr/fulltext/u2/600972.pdf;
http://www.dtic.mil/get-tr-doc/pdf?AD=AD0600972",
abstract = "The principal part of this paper is devoted to the
study of the distribution and density functions of the
ratio of two normal random variables. It gives several
representations of the distribution function in terms
of the bivariate normal distribution and Nicholson's
$V$ function, both of which have been extensively
studied, and for which tables and computational
procedures are readily available. One of these
representations leads to an easy derivation of the
density function in terms of the Cauchy density and the
normal density and integral. A number of graphs of the
possible shapes of the density are given, together with
an indication of when the density is unimodal or
bimodal.\par
The last part of the paper discusses the distribution
of the ratio $ (u_1 + \cdots + u_n) / (v_1 + \cdots +
v_m)$ where the $u$'s and $v$'s are, independent,
uniform variables. The distribution for all $n$ and $m$
is given, and some approximations discussed.",
acknowledgement = ack-nhfb,
remark = "Published in \cite{Marsaglia:1965:RNV}.",
}
@InCollection{Marsaglia:1964:RVC,
author = "George Marsaglia",
title = "Random variables and computers",
crossref = "Kozesnik:1964:TTP",
pages = "499--512",
year = "1964",
MRclass = "65.05 (65.15)",
MRnumber = "29 \#1721",
bibdate = "Fri Jan 6 09:58:36 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0123.36205",
acknowledgement = ack-nhfb,
keywords = "probability theory",
}
@TechReport{Marsaglia:1964:SPIa,
author = "George Marsaglia",
title = "Some Problems Involving Circular and Spherical
Targets",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "19",
month = apr,
year = "1964",
bibdate = "Wed Nov 12 07:42:28 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0600566",
abstract = "This article is concerned with some problems which
occur in certain tactical considerations: how should
one place $k$ circles (spheres) in the plane (3-space)
so that their union has the greatest standard normal
probability measure, that is, so as to maximize the
probability that a random normal point will fall in one
or more of the circles (spheres). For $ k > 3$ the
problem seems hopeless, (except for certain special
situations); the case for $ k = 3$ is still unresolved
and is being worked on by a number of investigators,
and the case for $ k = 2$ is solved completely in this
paper. The results for $ k = 2$ have some practical
value when applied to actual problems arising in
tactical considerations, and some theoretical value, as
a method of attacking the problem for $ k > 3$.",
acknowledgement = ack-nhfb,
}
@Article{Marsaglia:1964:SPIb,
author = "George Marsaglia",
title = "Some Problems Involving Circular and Spherical
Targets",
journal = j-OPER-RES,
volume = "13",
number = "1",
pages = "18--27",
month = jan # "\slash " # feb,
year = "1964",
CODEN = "OPREAI",
DOI = "https://doi.org/10.1287/opre.13.1.18",
ISSN = "0030-364X (print), 1526-5463 (electronic)",
ISSN-L = "0030-364X",
bibdate = "Tue Jun 21 18:50:19 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/167951",
abstract = "This article is concerned with some problems that
occur in certain tactical considerations: how should
one place $k$ circles [spheres] in the plane [3-space]
so that their union has the greatest standard normal
probability measure, that is, so as to maximize the
probability that a random normal point will fall in one
or more of the circles [spheres]. For $ k > 3 $ the
problem seems hopeless, (except for certain special
situations); the case for $ k = 3 $ is still unresolved
and is being worked on by a number of investigators,
and the case for $ k = 2 $ is solved completely in this
paper. The results for $ k = 2 $ have some practical
value when applied to actual problems arising in
tactical considerations, and some theoretical value, as
a method of attacking the problem for $ k \geq 3 $.",
acknowledgement = ack-nhfb,
fjournal = "Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/opre",
}
@Book{Onicescu:1964:NSA,
author = "O. Onicescu",
title = "Nombres et syst{\`e}mes al{\'e}atoires. ({French})
[Random numbers and systems]",
publisher = "{\'E}ditions Eyrolles",
address = "Paris, France",
pages = "280",
year = "1964",
LCCN = "????",
MRnumber = "MR 172314",
bibdate = "Thu Jan 19 07:59:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0105.11404",
acknowledgement = ack-nhfb,
language = "French",
}
@Book{Poore:1964:CPG,
author = "Jesse H. Poore",
title = "Computational procedures for generating and testing
random numbers",
publisher = "Division of Business and Economic Research, School of
Business Administration, Louisiana Polytechnic
Institute",
address = "Ruston, UK",
pages = "36",
year = "1964",
LCCN = "QA273 .P78",
bibdate = "Tue Apr 29 20:39:05 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/probstat1960.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Probabilities",
}
@Article{Sobol:1964:PPR,
author = "I. M. Sobol'",
title = "Periods of pseudo-random sequences",
journal = "Teor. Verojatnost. i Primenen.",
volume = "9",
pages = "367--373",
year = "1964",
CODEN = "????",
ISSN = "0040-361X",
MRclass = "60.99 (65.15)",
MRnumber = "0163334 (29 \#637)",
MRreviewer = "G. E. Noether",
bibdate = "Thu Jan 19 08:19:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Akademija Nauk SSSR. Teorija Verojatnoste{\u\i} i ee
Primenenija",
}
@Article{Stockmal:1964:CPR,
author = "Frank Stockmal",
title = "Calculations with Pseudo-Random Numbers",
journal = j-J-ACM,
volume = "11",
number = "1",
pages = "41--52",
month = jan,
year = "1964",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321203.321209",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Nov 03 22:33:52 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Book{Tocher:1964:AS,
author = "K. D. Tocher",
title = "The Art of Simulation",
publisher = "Van Nostrand",
address = "Princeton, NJ, USA",
pages = "viii + 184",
year = "1964",
LCCN = "TA177 .T6",
bibdate = "Tue Jun 19 05:33:49 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Simulation methods",
tableofcontents = "1. Introduction \\
2. Sampling from a distribution \\
3. More sampling methods \\
4. Random number tables \\
5. Random number generators \\
6. Pseudo-random numbers \\
7. Elementary sampling experiments \\
8. Flow diagrams \\
9. Estimation \\
10. Simple queuing problems \\
11. Further queue problems \\
12. General simulation problems \\
13. Design of simulation experiments",
}
@Article{Barker:1965:MCC,
author = "A. A. Barker",
title = "{Monte Carlo} Calculations of the Radial Distribution
Functions for a Proton-Electron Plasma",
journal = j-AUSTRALIAN-J-PHYS,
volume = "18",
number = "??",
pages = "119--133",
month = "????",
year = "1965",
CODEN = "AUJPAS",
ISSN = "0004-9506 (print), 1446-5582 (electronic)",
ISSN-L = "0004-9506",
bibdate = "Tue Feb 07 12:05:40 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Australian Journal of Physics",
remark = "See \cite[page 255, column 2]{Hitchcock:2003:HMH} and
\cite{Peskun:1973:OMC} for the relation of this work to
\cite{Metropolis:1953:ESC}.",
}
@Book{Barnett:1965:RNE,
author = "Vic D. Barnett",
title = "Random negative exponential deviates; 2 pair-wise
correlated sets of 10,000 observations: with facilities
for the generation of random $ \chi^2 $ deviates on any
integral number of degrees of freedom",
volume = "27",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xxii + 89",
year = "1965",
LCCN = "QA47 .T7 no. 27",
bibdate = "Mon Jun 27 13:35:14 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Tracts for computers",
acknowledgement = ack-nhfb,
subject = "Sampling (Statistics); Stochastic processes",
}
@Article{Franklin:1965:NSS,
author = "Joel N. Franklin",
title = "Numerical Simulation of Stationary and Non-Stationary
{Gaussian} Random Processes",
journal = j-SIAM-REVIEW,
volume = "7",
number = "1",
pages = "68--80",
month = "????",
year = "1965",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1007007",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRnumber = "MR 179913",
bibdate = "Thu Mar 27 09:05:20 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/7/1;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1965",
}
@Book{Golenko:1965:MSA,
author = "D. I. Golenko",
title = "Modelirovanie i statisticheskii analiz
psevdosluchainykh chisel na elektronnykh
vychislitelnykh mashinakh. ({Russian}) [{The} method of
statistical testing (The {Monte Carlo} method)]",
publisher = "Izdatelstvo ``Nauka''",
address = "Moscow, USSR",
pages = "227",
year = "1965",
LCCN = "????",
MRclass = "65.15 (10.03)",
MRnumber = "0187370 (32 \#4822)",
MRreviewer = "D. H. Lehmer",
bibdate = "Wed Jan 18 18:08:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
}
@Article{Greenberger:1965:MR,
author = "Martin Greenberger",
title = "Method in randomness",
journal = j-CACM,
volume = "8",
number = "3",
pages = "177--179",
month = mar,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:59 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/bevan.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Certain nonrandom properties of a commonly used random
number generator are described and analyzed.",
acknowledgement = ack-nhfb,
checked = "19940404",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "CDC 1604; floating-point arithmetic; PRNG
(pseudo-random number generator); triple-precision
floating-point arithmetic",
sjb = "Points out that random number generators aren't always
particularly random and that you should test the
randomness properties of an algorithm yourself before
using it in your code.",
}
@Article{Hampton:1965:EUP,
author = "Robert L. Hampton",
title = "Experiments Using Pseudo-Random Noise",
journal = j-SIMULATION,
volume = "4",
number = "4",
pages = "246--254",
month = apr,
year = "1965",
CODEN = "SIMUA2",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Wed Jan 11 12:00:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/4/4/246.abstract",
abstract = "This paper describes the results of experiments per
formed with pseudo-random noise sequences. It is shown
that Gaussian noise can be easily produced from such
sequences. It is also demonstrated that the sequences
themselves have a binomial probability
distribution.\par
The correlation technique investigated, using
pseudo-random noise, makes possible a continuous
recording of a system's impulse response without the
use of any sophisticated hardware. The impulse response
obtained from the cross-correlation experiment can be
approached from either the positive or negative
direction, i.e., $ \tau $ can be made not only a time
delay, but also a time advance. This enables one to
observe the trailing end of a waveform before viewing
its leading end. It also permits a quick experimental
verification of the correlation property that $ R_{x,
y}(\tau) = R_{y, r}( - \tau) $. Examples for a first-
and second-order system are given.",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
}
@Article{Hampton:1965:HAD,
author = "R. L. T. Hampton",
title = "A Hybrid Analog-Digital Pseudo Random Noise
Generator",
journal = j-SIMULATION,
volume = "4",
number = "3",
pages = "179--199",
month = mar,
year = "1965",
CODEN = "SIMUA2",
DOI = "https://doi.org/10.1177/003754976500400315",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Wed Jan 11 12:11:36 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/4/3/179.full.pdf+html",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
}
@Article{Jagerman:1965:STC,
author = "D. L. Jagerman",
title = "Some Theorems Concerning Pseudo-Random Numbers",
journal = j-MATH-COMPUT,
volume = "19",
number = "91",
pages = "418--426",
month = jul,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Jansson:1965:ASP,
author = "B. Jansson",
editor = "????",
booktitle = "Proceedings of the {IFIP} Congress",
title = "Analytical studies of pseudorandom number generators
of the congruential type",
publisher = "????",
address = "????",
pages = "371--372",
year = "1965",
LCCN = "????",
bibdate = "Mon Jan 16 22:24:59 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Knuth:1965:CRS,
author = "Donald E. Knuth",
title = "Construction of a random sequence",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "4",
pages = "246--250",
year = "1965",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
MRclass = "10.50 (10.33)",
MRnumber = "33 #5599",
MRreviewer = "J. H. Halton",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{MacLaren:1965:URN,
author = "M. Donald MacLaren and George Marsaglia",
title = "Uniform Random Number Generators",
journal = j-J-ACM,
volume = "12",
number = "1",
pages = "83--89",
month = jan,
year = "1965",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321250.321257",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
MRclass = "65.15",
MRnumber = "30 \#687 (MR 170449)",
bibdate = "Mon Jan 22 17:05:44 MST 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0143.40101",
abstract = "This paper discusses the testing of methods for
generating uniform random numbers in a computer---the
commonly used multiplicative and mixed congruential
generators as well as two new methods. Tests proposed
here are more stringent than those usually applied,
because the usual tests for randomness have passed
several of the commonly-used procedures which
subsequently gave poor results in actual Monte Carlo
calculations. The principal difficulty seems to be that
certain simple functions of $n$-tuples of uniform
random numbers do not have the distribution that
probability theory predicts.\par
Two alternative generating methods are described, one
of them using a table of uniform numbers, the other one
combining two congruential generators. Both of these
methods passed the tests, whereas the conventional
multiplicative and mixed congruential methods did
not.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "numerical analysis",
oldlabel = "MacLarenM65",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/jacm/MacLarenM65",
}
@TechReport{Marsaglia:1965:SAM,
author = "George Marsaglia",
title = "Still Another Method for Producing Normal Variables in
a Computer",
type = "Mathematical note",
number = "??",
institution = "Boeing Scientific Research Laboratories",
address = "Seattle, WA, USA",
pages = "8",
month = jan,
year = "1965",
bibdate = "Tue Jun 21 18:58:31 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A method for producing normal random variables in
terms of uniform random variables $ U_1, U_2, U_3,
\ldots {} $. If $ Y = U_1 + U_2 + U_3 $, then choosing
one of the four random variables $ 2 Y - 3 $, $ (4 Y -
6) / 3 $, $ (Y - 7) / 2 $ or $ (Y + 4) / 2 $ in the
proportions $ 0.8365 $, $ 0.11506 $, $ 0.00372 $ and $
0.00372 $ will produce the required normal variate $
98.6 $ per cent of the time. The other $ 1.4 $ per cent
is devoted to the tail or a rejection technique in
order that the composite be exact. The method leads to
very fast computer programs which are easy to code and
occupy little space in the computer.",
acknowledgement = ack-nhfb,
}
@Book{Papoulis:1965:PRV,
author = "Athanasios Papoulis",
title = "Probability, random variables, and stochastic
processes",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xi + 583",
year = "1965",
ISBN = "0-07-048448-1, 0-07-085971-X",
ISBN-13 = "978-0-07-048448-1, 978-0-07-085971-5",
LCCN = "QA273 .P2",
bibdate = "Tue Jan 17 09:49:51 MST 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
remark = "See other editions
\cite{Papoulis:1984:PRV,Papoulis:1991:PRV,Papoulis:2002:PRV}.",
}
@Article{Pike:1965:AAP,
author = "M. C. Pike and I. D. Hill",
title = "{ACM Algorithm 266}: Pseudo-Random Numbers",
journal = j-CACM,
volume = "8",
number = "10",
pages = "605--606",
month = oct,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 08 09:32:34 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See certification \cite{Sullins:1972:CAP}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Pike:1965:APR,
author = "M. C. Pike and I. D. Hill",
title = "{Algorithm 266}: {Pseudo}-random numbers [{G5}]",
journal = j-CACM,
volume = "8",
number = "10",
pages = "605--606",
month = oct,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:02 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See certification \cite{Sullins:1972:CAP} and remarks
\cite{Hansson:1966:RAG,Pike:1966:RAG}",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Pike:1965:ARN,
author = "M. C. Pike",
title = "{Algorithm 267}: {Random} normal deviate [{G5}]",
journal = j-CACM,
volume = "8",
number = "10",
pages = "606--606",
month = oct,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:02 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Pike:1965:CAGb,
author = "M. C. Pike",
title = "Certification of {Algorithm 200} [{G5}]: {Normal}
random",
journal = j-CACM,
volume = "8",
number = "9",
pages = "556--556",
month = sep,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:02 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/bevan.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{George:1963:ANR}.",
acknowledgement = ack-nhfb,
checked = "19940408",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Potter:1965:CNS,
author = "J. E. Potter",
title = "Classroom Notes: Sets of {Gaussian} Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2",
pages = "171--173",
month = feb,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Thu Jul 8 18:23:41 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Pyke:1965:S,
author = "R. Pyke",
title = "Spacings",
journal = j-J-R-STAT-SOC-SER-B-METHODOL,
volume = "27",
number = "??",
pages = "395--434",
month = "????",
year = "1965",
CODEN = "JSTBAJ",
ISSN = "0035-9246",
bibdate = "Wed Feb 08 19:09:43 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series B
(Methodological)",
journal-URL = "http://www.jstor.org/journals/00359246.html",
}
@Article{Reeves:1965:AUR,
author = "C. M. Reeves",
title = "Algorithm 8: a uniform random number generator",
journal = j-COMPUT-BULL,
volume = "9",
number = "??",
pages = "105--??",
month = "????",
year = "1965",
CODEN = "COBUAH",
ISSN = "0010-4531 (print), 1464-357X (electronic)",
ISSN-L = "0010-4531",
bibdate = "Mon Jan 16 22:27:29 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "The Computer Bulletin",
}
@Article{Rosenberg:1965:CNN,
author = "Lloyd Rosenberg",
title = "Classroom Notes: Nonnormality of Linear Combinations
of Normally Distributed Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "8",
pages = "888--890",
month = oct,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:00 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Scheinok:1965:DFR,
author = "P. Scheinok",
title = "The Distribution Functions of Random Variables in
Arithmetic Domains Modulo $a$",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2",
pages = "128--134",
month = feb,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Thu Jul 8 18:23:41 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Seshadri:1965:RVW,
author = "V. Seshadri",
title = "On random variables which have the same distribution
as their reciprocals",
journal = j-CAN-MATH-BULL,
volume = "8",
number = "??",
pages = "819--824",
month = "????",
year = "1965",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1965-062-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:03:13 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v8/;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Shapiro:1965:DAA,
author = "Jesse M. Shapiro",
title = "Domains of Attraction for Absolute Values of Random
Variables",
journal = j-J-SIAM,
volume = "13",
number = "1",
pages = "129--135",
month = mar,
year = "1965",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Stoneham:1965:SDT,
author = "R. G. Stoneham",
title = "A study of the 60,000 digits of the transcendental
`$e$'",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "4",
pages = "483--506",
month = apr,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Sat Jan 07 11:35:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Tausworthe:1965:RNG,
author = "Robert C. Tausworthe",
title = "Random Numbers Generated by Linear Recurrence Modulo
Two",
journal = j-MATH-COMPUT,
volume = "19",
number = "90",
pages = "201--209",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.15",
MRnumber = "32 \#1878",
MRreviewer = "J. H. Halton",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Distributed/QLD.bib; Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/2003345",
acknowledgement = ack-nhfb,
annote = "Many situations arise in various fields of interest
for which the mathematical model utilizes a random
sequence of numbers, events, or both. In many of these
applications, it is often extremely advantageous to
generate, by some deterministic means, a sequence which
appears to be random, even if, upon closer and longer
observations, certain regularities become evident. For
example, electronic computer programs for generating
random numbers to be \ldots{}",
date = "09/06/82",
descriptors = "Tausworthe generator; method; RNG; test; Shift
register sequences",
enum = "3054",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
location = "RWTH-AC-DFV: MB; PKI-OG: Li-Ord.Le",
references = "8",
revision = "21/04/91",
}
@Article{Teichroew:1965:HDS,
author = "Daniel Teichroew",
title = "A history of distribution sampling prior to the era of
the computer and its relevance to simulation",
journal = j-J-AM-STAT-ASSOC,
volume = "60",
number = "309",
pages = "27--49",
month = mar,
year = "1965",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Jan 9 17:34:07 2012",
bibsource = "Distributed/QLD.bib; Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2283135",
acknowledgement = ack-nhfb,
date = "13/05/93",
descriptors = "RVG",
enum = "7970",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
location = "SEL: Wi",
revision = "16/01/94",
}
@Article{Chaitin:1966:LPC,
author = "Gregory J. Chaitin",
title = "On the Length of Programs for Computing Finite Binary
Sequences",
journal = j-J-ACM,
volume = "13",
number = "4",
pages = "547--569",
month = oct,
year = "1966",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321356.321363",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Sat Jan 26 12:46:16 MST 2013",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The use of Turing machines for calculating finite
binary sequences is studied from the point of view of
information theory and the theory of recursive
functions. Various results are obtained concerning the
number of:instructions ia programs. A modified form of
Turing machine is studied from the same point of view.
Aa application to the problem of defining a patternless
sequence is proposed in terms of the concepts here
developed.",
acknowledgement = ack-ds # " and " # ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
rawdata = "Chaitin, Gregory J. (1966) ``On the Lengths of
Programs for Computing Finite Binary Sequences,'' {\it
Journal of the ACM}, {\bf13}(4):547--569, October.",
}
@Article{Chiang:1966:ERR,
author = "C. L. Chiang",
title = "On the Expectation of the Reciprocal of a Random
Variable",
journal = j-AMER-STAT,
volume = "20",
number = "4",
pages = "28--28",
month = oct,
year = "1966",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:37 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326494;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2685960",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Dyadkin:1966:SRE,
author = "I. G. Dyad'kin",
title = "Simulation of the random energy of a gamma quantum
scattered as a result of the {Compton} effect",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "6",
number = "2",
pages = "274--276",
month = "????",
year = "1966",
CODEN = "CMMPA9",
DOI = "https://doi.org/10.1016/0041-5553(66)90077-2",
ISSN = "0041-5553, 0502-9902",
ISSN-L = "0041-5553",
bibdate = "Mon Feb 27 09:47:25 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "English translation of Russian original published in
Zh. vychisl. Mat. mat. Fiz. {\bf 6}(2) 384--385,
1966.",
URL = "http://www.sciencedirect.com/science/article/pii/0041555366900772",
abstract = "When the Monte Carlo method is used to solve problems
on the propagation of gamma quanta in a material, the
greater part of the computer time is expended in
simulating the Compton effect. An economic algorithm is
proposed below for converting random numbers, uniformly
distributed over the interval $ (0, 1) $, into the
energy of the scattered gamma quantum.",
acknowledgement = ack-nhfb,
fjournal = "U.S.S.R. Computational Mathematics and Mathematical
Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00415553",
}
@Article{Fleiss:1966:NER,
author = "Joseph L. Fleiss",
title = "A Note on the Expectation of the Reciprocal of a
Random Variable",
journal = j-AMER-STAT,
volume = "20",
number = "1",
pages = "25--25",
month = feb,
year = "1966",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:37 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326344;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2681673",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Gorenstein:1966:APN,
author = "S. Gorenstein",
title = "Another pseudorandom number generator",
journal = j-CACM,
volume = "9",
number = "9",
pages = "711",
month = sep,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 16 22:21:17 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
xxmonth = oct,
xxnote = "Article missing from ACM Portal database; it is either
at the end of issue 9 (most likely), or the start of
issue 10 (unlikely).",
xxnumber = "10",
}
@Article{Hansson:1966:RAG,
author = "L. Hansson",
title = "Remark on {Algorithm 266 [G5]}: Pseudo-Random
Numbers",
journal = j-CACM,
volume = "9",
number = "9",
pages = "687--687",
month = sep,
year = "1966",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/365813.365839",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:09 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Pike:1965:APR}, remark \cite{Pike:1966:RAG},
and certification \cite{Sullins:1972:CAP}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Heyde:1966:SRS,
author = "C. C. Heyde",
title = "Some results on small-deviation probability
convergence rates for sums of independent random
variables",
journal = j-CAN-J-MATH,
volume = "18",
number = "??",
pages = "656--665",
month = "????",
year = "1966",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1966-066-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:35 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v18/;
https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hutchinson:1966:NUP,
author = "David W. Hutchinson",
title = "A new uniform pseudorandom number generator",
journal = j-CACM,
volume = "9",
number = "6",
pages = "432--433",
month = jun,
year = "1966",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.15",
MRnumber = "33\#1954",
bibdate = "Tue May 28 07:34:50 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A new multiplicative congruential pseudorandom number
generator is discussed, in which the modulus is the
largest prime within accumulator capacity and the
multiplier is a primitive root of that prime. This
generator passes the usual statistical tests and in
addition the least significant bits appear to be as
random as the most significant bits-a property which
generators having modulus $ 2^k $ do not possess.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Book{Jansson:1966:RNG,
author = "Birger Jansson",
title = "Random number generators",
publisher = "Almqvist \& Wiksell",
address = "Stockholm, Sweden",
pages = "205",
year = "1966",
LCCN = "QA276.5 .J3 1966",
MRnumber = "MR 224253",
bibdate = "Wed Dec 21 10:20:08 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
}
@Article{Loveland:1966:NIM,
author = "D. Loveland",
title = "A New Interpretation of the {von Mises} Concept of
Random Sequence",
journal = j-Z-MATH-LOGIK-GRUNDL-MATH,
volume = "12",
number = "??",
pages = "279--294",
month = "????",
year = "1966",
CODEN = "ZMLGAQ",
ISSN = "0044-3050",
bibdate = "Mon Feb 20 15:33:13 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r mathematische Logik und
Grundlagen der Mathematik}",
}
@InProceedings{Marsaglia:1966:GMP,
author = "G. Marsaglia",
booktitle = "Proceedings of the Fall Joint Computer Conference, San
Francisco, November 1966",
title = "A general method for producing random variables in a
computer",
publisher = "Spartan Books",
address = "Washington, DC, USA",
bookpages = "vii + 819",
pages = "169--173",
year = "1966",
LCCN = "TK7885.A1 J74 1966 Fall",
bibdate = "Fri Jan 6 09:58:50 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7631",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
town = "San Francisco",
}
@Article{Martin-Lof:1966:CRS,
author = "P. Martin-L{\"o}f",
title = "On the Concept of a Random Sequence",
journal = j-THEORY-PROBAB-APPL,
volume = "11",
number = "??",
pages = "177--179",
month = "????",
year = "1966",
CODEN = "TPRBAU",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Mon Feb 20 15:41:26 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
}
@Article{Martin-Lof:1966:DRS,
author = "Per Martin-L{\"o}f",
title = "The definition of random sequences",
journal = j-INF-CONTROL,
volume = "9",
number = "6",
pages = "602--619",
month = dec,
year = "1966",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(66)80018-9",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Mon Jan 16 22:23:52 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mckinney:1966:CNG,
author = "E. H. Mckinney",
title = "Classroom Notes: Generalized Birthday Problem",
journal = j-AMER-MATH-MONTHLY,
volume = "73",
number = "4",
pages = "385--387",
month = apr,
year = "1966",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 10:43:31 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Miller:1966:BRB,
author = "Irwin Miller",
title = "Book Review: {{\booktitle{Probability, Random
Variables, and Stochastic Processes}} by Anthanasios
Papoulis}",
journal = j-TECHNOMETRICS,
volume = "8",
number = "2",
pages = "378--380",
month = may,
year = "1966",
CODEN = "TCMTA2",
DOI = "https://doi.org/10.2307/1266379",
ISSN = "0040-1706 (print), 1537-2723 (electronic)",
ISSN-L = "0040-1706",
bibdate = "Sat Jun 21 13:17:51 MDT 2014",
bibsource = "http://www.jstor.org/journals/00401706.html;
http://www.jstor.org/stable/i254246;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/technometrics1960.bib",
URL = "http://www.jstor.org/stable/1266379",
acknowledgement = ack-nhfb,
fjournal = "Technometrics",
journal-URL = "http://www.jstor.org/journals/00401706.html",
}
@Article{Murthy:1966:NER,
author = "V. N. Murthy and C. S. Pillai",
title = "A Note on the Expectation of the Reciprocal and Square
Root of a Random Variable",
journal = j-AMER-STAT,
volume = "20",
number = "5",
pages = "30--30",
month = dec,
year = "1966",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:37 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326347;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682640",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Pike:1966:RAG,
author = "M. C. Pike and I. D. Hill",
title = "Remark on {Algorithm 266 [G5]}: Pseudo-Random
Numbers",
journal = j-CACM,
volume = "9",
number = "9",
pages = "687--687",
month = sep,
year = "1966",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/365813.365839",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:09 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Pike:1965:APR}, remark
\cite{Hansson:1966:RAG}, and certification
\cite{Sullins:1972:CAP}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Book{RAND:1966:MRD,
author = "{RAND Corporation}",
title = "A Million Random Digits With 100,000 Normal Deviates",
publisher = pub-FREE,
address = pub-FREE:adr,
pages = "xxviii + 400 + 200",
year = "1966",
LCCN = "QA276.5 .R3",
bibdate = "Sat Aug 23 07:58:03 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Reprint of original edition \cite{RAND:1955:MRD}.
Reprinted in 2001 \cite{RAND:2001:MRD}. See also
\cite{Tippett:1927:RSN,Brown:1949:HRR,Brown:1951:HRR}.",
URL = "http://www.rand.org/pubs/monograph_reports/MR1418.html",
acknowledgement = ack-nhfb,
HDnumber = "100",
}
@Book{Shreider:1966:MCM,
editor = "I. A. (Ulii Anatol'evich) Shreider and N. P. (Nikolai
Panteleimonovich) Buslenko",
title = "The {Monte Carlo} method; the method of statistical
trials",
volume = "87",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "xii + 381",
year = "1966",
LCCN = "QA273 .S5611",
bibdate = "Sat Jan 7 12:03:03 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
library.mit.edu:9909/mit01",
series = "International series of monographs in pure and applied
mathematics",
acknowledgement = ack-nhfb,
remark = "Translation of Russian original \booktitle{Metod
statisticheskikh ispytanii; metod Monte-Karlo}.",
subject = "Monte Carlo method",
}
@Article{Spitzer:1966:RPP,
author = "Frank Spitzer",
title = "Recent Publications and Presentations: {{\em
Information and Information Stability of Random
Variables and Processes}}, by {M. S. Pinsker}",
journal = j-AMER-MATH-MONTHLY,
volume = "73",
number = "8",
pages = "912--913",
month = oct,
year = "1966",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:23 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Springer:1966:DPI,
author = "M. D. Springer and W. E. Thompson",
title = "The Distribution of Products of Independent Random
Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "14",
number = "3",
pages = "511--526",
month = may,
year = "1966",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Book{Stroud:1966:GQF,
author = "A. H. Stroud and Don Secrest",
title = "{Gaussian} Quadrature Formulas",
publisher = pub-PH,
address = pub-PH:adr,
pages = "ix + 374",
year = "1966",
LCCN = "QA299.4.G3 S7 1966",
bibdate = "Sun Jan 17 09:52:34 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
remark = "See also \cite{Stroud:1971:ACM}.",
xxISBN = "none",
}
@Article{Zaremba:1966:GLP,
author = "S. C. Zaremba",
title = "Good lattice points, discrepancy, and numerical
integration",
journal = j-ANN-MAT-PURA-APPL-4,
volume = "73",
number = "??",
pages = "293--317",
month = "????",
year = "1966",
CODEN = "ANLMAE",
ISSN = "0003-4622",
MRclass = "65.55",
MRnumber = "0218018 (36 \#1107)",
MRreviewer = "S. Haber",
bibdate = "Thu Jan 19 08:32:45 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annali di matematica pura ed applicata. Series 4",
}
@Article{Albert:1967:CNN,
author = "G. E. Albert and R. L. Tittle",
title = "Classroom Notes: Nonnormality of Linear Combinations
of Normally Distributed Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "74",
number = "5",
pages = "583--585",
month = may,
year = "1967",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:39 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Azorin:1967:BRB,
author = "F. Azor{\'\i}n",
title = "Book Review: {{\booktitle{Random Number Generators}},
by B. Jansson}",
journal = j-REV-INST-INT-STATIST,
volume = "35",
number = "1",
pages = "95--96",
month = "????",
year = "1967",
CODEN = "????",
ISSN = "0373-1138",
bibdate = "Wed Dec 21 10:21:47 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Jansson:1966:RNG}.",
URL = "http://www.jstor.org/stable/1401645",
acknowledgement = ack-nhfb,
fjournal = "Revue de l'Institut international de statistique =
Review of the International Statistical Institute",
}
@Article{Behboodian:1967:EAV,
author = "Javad Behboodian",
title = "On the Expectation of the Absolute Value of a Random
Vector",
journal = j-AMER-STAT,
volume = "21",
number = "4",
pages = "25--26",
month = oct,
year = "1967",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326351;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682101",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@InProceedings{Canavos:1967:CAT,
author = "G. C. Canavos",
editor = "????",
booktitle = "{Proceedings of the 22nd Conference of the ACM}",
title = "A comparative analysis of two concepts in the
generation of uniform pseudorandom numbers",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "485--501",
year = "1967",
LCCN = "????",
bibdate = "Mon Jan 16 22:16:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Chambers:1967:RNG,
author = "R. P. Chambers",
title = "Random-number generation on digital computers",
journal = j-IEEE-SPECTRUM,
volume = "4",
number = "2",
pages = "48--56",
month = feb,
year = "1967",
CODEN = "IEESAM",
DOI = "https://doi.org/10.1109/MSPEC.1967.5216203",
ISSN = "0018-9235 (print), 1939-9340 (electronic)",
ISSN-L = "0018-9235",
bibdate = "Wed Jan 15 09:12:12 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeespectrum1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Spectrum",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6",
keywords = "Application software; Arithmetic; Debugging; Game
theory; Inductors; Laboratories; Mesh generation;
Military computing; Probability; Sampling methods",
}
@Article{Coveyou:1967:FAU,
author = "R. R. Coveyou and R. D. MacPherson",
title = "{Fourier} Analysis of Uniform Random Number
Generators",
journal = j-J-ACM,
volume = "14",
number = "1",
pages = "100--119",
month = jan,
year = "1967",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321371.321379",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Dec 22 07:42:22 2011",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A method of analysis of uniform random number
generators is developed, applicable to almost all
practical methods of generation. The method is that of
Fourier analysis of the output sequences of such
generators. With this tool it is possible to understand
and predict relevant statistical properties of such
generators and compare and evaluate such methods. Many
such analyses and comparisons have been carried out.
The performance of these methods as implemented on
differing computers is also studied. The main practical
conclusions of the study are: (a) Such a priori
analysis and prediction of statistical behavior of
uniform random number generators is feasible. (b) The
commonly used multiplicative congruence method of
generation is satisfactory with careful choice of the
multiplier for computers with an adequate ($ \geq
\tilde $ 35-bit) word length. (c) Further work may be
necessary on generators to be used on machines of
shorter word length.",
acknowledgement = ack-nhfb,
descriptors = "Shift register sequences; method; spectral analysis;
interdependence; multidimensional uniformity; RNG;
test",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
remark = "This article is believed to be the origin of the
spectral test for randomness.",
}
@Article{Csorgo:1967:NPS,
author = "Mikl{\'o}s Cs{\"o}rg{\"o}",
title = "A new proof of some results of {R{\'e}nyi} and the
asymptotic distribution of the range of his
{Kolmogorov--Smirnov} type random variables",
journal = j-CAN-J-MATH,
volume = "19",
number = "??",
pages = "550--558",
month = "????",
year = "1967",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1967-048-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:36 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v19/;
https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{deBalbine:1967:NRP,
author = "Guy {de Balbine}",
title = "Note on Random Permutations (in {Technical Notes and
Short Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "710--712",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Downham:1967:MCP,
author = "D. Y. Downham and F. D. K. Roberts",
title = "Multiplicative congruential pseudo-random number
generators",
journal = j-COMP-J,
volume = "10",
number = "1",
pages = "74--77",
month = may,
year = "1967",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:51:17 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_01/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_01/100074.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_01/tiff/74.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_01/tiff/75.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_01/tiff/76.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_01/tiff/77.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Gabai:1967:DCS,
author = "H. Gabai",
title = "On the discrepancy of certain sequences $ \bmod 1 $",
journal = j-ILL-J-MATH,
volume = "11",
number = "??",
pages = "1--12",
month = "????",
year = "1967",
CODEN = "IJMTAW",
ISSN = "0019-2082 (print), 1945-6581 (electronic)",
ISSN-L = "0019-2082",
bibdate = "Thu Jan 19 06:48:35 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Illinois Journal of Mathematics",
}
@Article{Gebhardt:1967:GPR,
author = "Friedrich Gebhardt",
title = "Generating Pseudo-Random Numbers by Shuffling a
{Fibonacci} Sequence (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "708--709",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gebhardt-friedrich.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Book{Golomb:1967:SRS,
author = "Solomon W. (Solomon Wolf) Golomb",
title = "Shift Register Sequences",
publisher = pub-HOLDEN-DAY,
address = pub-HOLDEN-DAY:adr,
pages = "xiv + 224",
year = "1967",
LCCN = "QA267.5.S4 G6",
bibdate = "Sat Sep 17 13:57:12 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
note = "Portions co-authored by Lloyd R. Welch, Richard M.
Goldstein and Alfred W. Hales.",
series = "Holden-Day series in information systems",
acknowledgement = ack-nhfb,
subject = "Coding theory; Switching theory; Sequential machine
theory; Shift registers",
}
@Article{Good:1967:GST,
author = "I. J. Good and T. N. Gover",
title = "The generalized serial test and the binary expansion
of $ \sqrt {2} $",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "130",
number = "1",
pages = "102--107",
month = "????",
year = "1967",
CODEN = "JSSAEF",
ISSN = "0035-9238",
bibdate = "Sat Jan 07 11:23:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See remark \cite{Good:1968:GST}.",
URL = "http://www.jstor.org/stable/2344040",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
remark = "The first author reports in \cite[page 43, column
2]{Good:1969:HRR}: ``For binary sequences one of the
best tests is the generalized serial test. This test,
which uses a statistic having the appearance of a
`Chi-squared', is also useful when $ t \neq 2 $, but it
does not have asymptotically a chi-squared
distribution, a fact that has led to error in at least
five published papers
\cite{Forsythe:1951:GTRa,Kendall:1938:RRS,Pathria:1962:SSR,RAND:1955:MRD,Stoneham:1965:SDT}.
It would have led to the rejection of RAND's million
random digits if the test had been applied to many
blocks incorrectly, instead of to only a few. The
simple correct method of use is described in
\cite{Good:1967:GST} [this paper].''",
}
@Article{Gorenstein:1967:TRN,
author = "Samuel Gorenstein",
title = "Testing a random number generator",
journal = j-CACM,
volume = "10",
number = "2",
pages = "111--118",
month = feb,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:11 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Gurland:1967:ISE,
author = "John Gurland",
title = "An Inequality Satisfied by the Expectation of the
Reciprocal of a Random Variable",
journal = j-AMER-STAT,
volume = "21",
number = "2",
pages = "24--25",
month = apr,
year = "1967",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326349;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682610",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Book{Hemmerle:1967:SCD,
author = "William J. Hemmerle",
title = "Statistical Computations on a Digital Computer",
publisher = "Blaisdell",
address = "Waltham, MA, USA",
pages = "x + 230",
year = "1967",
LCCN = "QA276 .H42",
bibdate = "Mon Jan 16 22:18:47 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Itzelsberger:1967:SEP,
author = "G. Itzelsberger",
title = "Some experiences with the poker test for investigating
pseudorandom numbers",
crossref = "Hollingdale:1967:DSO",
pages = "64--68",
year = "1967",
bibdate = "Mon Jan 16 22:19:25 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Marlow:1967:NLT,
author = "N. A. Marlow",
title = "A normal limit theorem for power sums of independent
random variables",
journal = j-BELL-SYST-TECH-J,
volume = "46",
number = "9",
pages = "2081--2089",
month = nov,
year = "1967",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "60.30",
MRnumber = "0224135 (36 \#7181)",
MRreviewer = "S. M. Samuels",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1967/BSTJ.1967.4609.html;
http://www.alcatel-lucent.com/bstj/vol46-1967/bstj-vol46-issue09.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol46/bstj46-9-2081.pdf;
http://www.alcatel-lucent.com/bstj/vol46-1967/articles/bstj46-9-2081.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Mullen:1967:NRT,
author = "Kenneth Mullen",
title = "A Note on the Ratio of Two Independent Random
Variables",
journal = j-AMER-STAT,
volume = "21",
number = "3",
pages = "30--31",
month = jun,
year = "1967",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326350;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682042",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Nasell:1967:SPP,
author = "Ingemar Nasell",
title = "Some Properties of Power Sums of Truncated Normal
Random Variables",
journal = j-BELL-SYST-TECH-J,
volume = "46",
number = "9",
pages = "2091--2110",
month = nov,
year = "1967",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1967/BSTJ.1967.4609.html;
http://www.alcatel-lucent.com/bstj/vol46-1967/bstj-vol46-issue09.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol46/bstj46-9-2091.pdf;
http://www.alcatel-lucent.com/bstj/vol46-1967/articles/bstj46-9-2091.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@InProceedings{Page:1967:GPR,
author = "E. S. Page",
title = "The generation of pseudo-random numbers",
crossref = "Hollingdale:1967:DSO",
pages = "55--63",
year = "1967",
bibdate = "Thu Dec 22 10:01:42 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Ratz:1967:MPN,
author = "Herbert C. Ratz and J. V. Hildebrand",
title = "Modified Pseudorandom Number Generators",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-16",
number = "6",
pages = "854--856",
month = dec,
year = "1967",
CODEN = "IEECA8",
DOI = "https://doi.org/10.1109/PGEC.1967.264749",
ISSN = "0367-7508",
bibdate = "Wed Jul 13 21:15:06 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4039202",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Sclove:1967:FRE,
author = "Stanley L. Sclove and Gordon Simons and J. {Van
Ryzin}",
title = "Further Remarks on the Expectation of the Reciprocal
of a Positive Random Variable",
journal = j-AMER-STAT,
volume = "21",
number = "4",
pages = "33--34",
month = oct,
year = "1967",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326351;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682105",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Serfling:1967:NCR,
author = "R. J. Serfling",
title = "A Note on the Covariance of a Random Variable and Its
Reciprocal",
journal = j-AMER-STAT,
volume = "21",
number = "4",
pages = "33--33",
month = oct,
year = "1967",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326351;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682104",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Sobol:1967:DPC,
author = "I. M. Sobol'",
title = "On the distribution of points in a cube and the
approximate evaluation of integrals",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "7",
number = "4",
pages = "86--112",
month = "????",
year = "1967",
CODEN = "CMMPA9",
DOI = "https://doi.org/10.1016/0041-5553(67)90144-9",
ISSN = "0041-5553, 0502-9902",
ISSN-L = "0041-5553",
bibdate = "Mon Feb 27 17:01:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "English translation of Russian original published in
Zh. vychisl. Mat. mat. Fiz. {\bf 7}(4), 784--802,
1967.",
URL = "http://www.sciencedirect.com/science/article/pii/0041555367901449",
acknowledgement = ack-nhfb,
fjournal = "U.S.S.R. Computational Mathematics and Mathematical
Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00415553",
}
@InProceedings{Solomon:1967:RPD,
author = "H. Solomon",
editor = "Lucien M. {Le Cam} and Jerzy Neyman",
booktitle = "{Proceedings of the Fifth Berkeley Symposium on
Mathematical Statistics and Probability. Volume III.
Physical Sciences}",
title = "Random packing density",
volume = "3",
publisher = pub-U-CAL,
address = pub-U-CAL:adr,
pages = "119--134",
year = "1967",
LCCN = "QA276 .B4 v.3",
bibdate = "Wed Feb 29 21:12:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/kepler.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Held at the Statistical Laboratory, University of
California, June 21--July 18, 1965 and December 27,
1965--January 7, 1966.",
URL = "http://projecteuclid.org/euclid.bsmsp/1200513624",
acknowledgement = ack-nhfb,
keywords = "parking-lot test; sphere packing",
}
@Article{Stein:1967:CPA,
author = "Josef Stein",
title = "Computational problems associated with {Racah}
algebra",
journal = j-J-COMPUT-PHYS,
volume = "1",
number = "3",
pages = "397--405",
month = feb,
year = "1967",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(67)90047-2",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 08:27:59 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999167900472",
abstract = "In a program written by the author, for performing
various calculations in the Racah algebra, some new
calculational methods were used; these methods are
described in this paper. They include: (1) a
representation of numbers alternative to the Rotenberg
form; (2) a new algorithm for calculating the greatest
common divisor of two odd integers, which was developed
for reducing the calculating time in the new
representation; (3) methods for shortening the
computation time of 3-j and 6-j symbols.",
acknowledgement = ack-nhfb,
affiliation = "The Hebrew University, Jerusalem, Israel",
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
keywords = "fast greatest common denominator (gcd)",
remark = "This may be the earliest published paper about
speeding up computation of the greatest common
denominator (gcd). Brent \cite{Brent:2000:TYA} also
cites earlier unpublished work of Silver and Terzian
(1962), and quotes a translation of a first century AD
Chinese text given by Knuth \cite[\S
4.5.2]{Knuth:1997:SA} that describes what we now call
the ``binary Euclidean algorithm''.",
}
@Article{Strome:1967:AUR,
author = "W. Murray Strome",
title = "{Algorithm 294}: {Uniform} Random",
journal = j-CACM,
volume = "10",
number = "1",
pages = "40--40",
month = jan,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:11 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "multiplicative congruential generator; PRNG
(pseudo-random number generator)",
remark = "User-provided $C$ and $M$ for $ x_{n + 1} = (C x_n)
\bmod M $, but user must restrict parameter bit-widths
to ensure representability of product done in
floating-point arithmetic.",
}
@Article{VanGelder:1967:SNR,
author = "A. {Van Gelder}",
title = "Some New Results in Pseudo-Random Number Generation",
journal = j-J-ACM,
volume = "14",
number = "4",
pages = "785--792",
month = oct,
year = "1967",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321420.321437",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Tue Nov 1 09:50:45 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Pseudo-random number generators of the power residue
(sometimes called congruential or multiplicative) type
are discussed and results of statistical tests
performed on specific examples of this type are
presented. Tests were patterned after the methods of
MacLaren and Marsaglia (M\&M). The main result
presented is the discovery of several power residue
generators which performed well in these tests. This is
important because, of all the generators using standard
methods (including power residue) that were tested by
M\&M, none gave satisfactory results. The overall
results here provide further evidence for their
conclusion that the types of tests usually encountered
in the literature do not provide an adequate index of
the behavior of n-tuples of consecutively generated
numbers. In any Monte Carlo or simulation problem where
n supposedly independent random numbers are required at
each step, this behavior is likely to be important.
Finally, since the tests presented here differ in
certain details from those of M\&M, some of their
generators were retested as a check. A cross-check
shows that results are compatible; in particular, if a
generator failed one of their tests badly, it also
failed the present author's corresponding test badly.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Westlake:1967:URN,
author = "W. J. Westlake",
title = "A Uniform Random Number Generator Based on the
Combination of Two Congruential Generators",
journal = j-J-ACM,
volume = "14",
number = "2",
pages = "337--340",
month = apr,
year = "1967",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321386.321396",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Dec 22 07:42:23 2011",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A method of generating pseudo-random uniform numbers
based on the combination of two congruential generators
is described. It retains two of the desirable features
of congruential generators, namely, the long cycle and
the case of implementation on a digital computer.
Furthermore, unlike the method of combining
congruential generators recently proposed by MacLaren
and Marsaglia, it does not require the retention in
computer memory of a table of generated numbers. The
generator gave completely satisfactory results on a
fairly stringent series of statistical tests.",
acknowledgement = ack-nhfb,
descriptors = "RNG",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{White:1967:EDC,
author = "R. C. White",
title = "Experiments with Digital Computer Simulations of
Pseudo-Random Noise Generators",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-16",
number = "3",
pages = "355--357",
month = jun,
year = "1967",
CODEN = "IEECA8",
DOI = "https://doi.org/10.1109/PGEC.1967.264694",
ISSN = "0367-7508",
bibdate = "Wed Jul 13 21:15:03 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4039076",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
}
@Article{Wyner:1967:RPC,
author = "A. D. Wyner",
title = "Random packings and coverings of the unit
{$n$}-sphere",
journal = j-BELL-SYST-TECH-J,
volume = "46",
number = "9",
pages = "2111--2118",
month = nov,
year = "1967",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "52.45 (60.00)",
MRnumber = "0223979 (36 \#7026)",
MRreviewer = "R. P. Bambah",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1967/BSTJ.1967.4609.html;
http://www.alcatel-lucent.com/bstj/vol46-1967/bstj-vol46-issue09.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol46/bstj46-9-2111.pdf;
http://www.alcatel-lucent.com/bstj/vol46-1967/articles/bstj46-9-2111.pdf",
abstract = "It is well known that the quantity $ M_p(n, 0) $, the
maximum number of nonoverlapping spherical caps of half
angle $ \theta $ (a ``packing'') which can be placed on
the surface of a unit sphere in Euclidean $n$-space is
not less than $ \exp [ - n \log \sin 2 \theta + o(n)]
\quad (\theta < \pi / 4) $. In this paper we give a new
proof of this fact by a ``random coding'' argument, the
central part of which is a theorem which asserts that
if a set of roughly $ \exp (n \log \sin 2 \theta) $
caps is chosen at random, that on the average only a
very small fraction of the caps will overlap (when $n$
is large).\par
A related problem is the determination of $ M_c(n,
\theta) $, the minimum number of caps of half angle $
\theta $ required to cover the unit Euclidean
$n$-sphere We show that $ M_c(n, \theta) = \exp [ - n
\log \sin \theta + o(n)] $. The central part of the
proof is also a random coding argument which asserts
that if a set roughly $ \exp ( - n \log \sin \theta) $
caps is chosen at random, that on the average only a
very small fraction of the surface of the $n$-sphere
will remain uncovered (when $n$ is large).",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Adhikari:1968:DMS,
author = "A. K. Adhikari and B. P. Sarkar",
title = "Distribution of most significant digit in certain
functions whose arguments are random variables",
journal = j-SANKHYA-B,
volume = "30",
number = "??",
pages = "47--58",
month = "????",
year = "1968",
CODEN = "SANBBV",
ISSN = "0581-5738",
bibdate = "Sat Nov 12 16:09:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Sankhya Ser. B (Indian J. of Statist.)",
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series B.
Methodological",
}
@Article{Anonymous:1968:GCM,
author = "Anonymous",
title = "The generation of correlated multivariate samples for
{Monte Carlo} simulation",
journal = j-IEEE-SPECTRUM,
volume = "5",
number = "2",
pages = "5--5",
month = feb,
year = "1968",
CODEN = "IEESAM",
DOI = "https://doi.org/10.1109/MSPEC.1968.5214753",
ISSN = "0018-9235 (print), 1939-9340 (electronic)",
ISSN-L = "0018-9235",
bibdate = "Wed Jan 15 09:30:58 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeespectrum1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Spectrum",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6",
keywords = "Cellular neural networks; Covariance matrix; Delay
lines; Filters; Gaussian processes; Information theory;
Phased arrays; Signal generators; Signal processing;
Stochastic processes",
}
@Article{Ayoub:1968:EEK,
author = "F. Ayoub",
title = "Erratum: Encryption with keyed random permutations",
journal = j-ELECT-LETTERS,
volume = "17",
number = "??",
pages = "??--??",
month = feb,
year = "1968",
CODEN = "ELLEAK",
DOI = "https://doi.org/10.1049/el:19810541",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Fri Dec 30 16:39:43 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4246020",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
fjournal = "Electronics Letters",
}
@Article{Ayoub:1968:EKR,
author = "F. Ayoub",
title = "Encryption with keyed random permutations",
journal = j-ELECT-LETTERS,
volume = "17",
number = "??",
pages = "583--585",
month = feb,
year = "1968",
CODEN = "ELLEAK",
DOI = "https://doi.org/10.1049/el:19810411",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Fri Dec 30 16:39:40 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4245887",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
fjournal = "Electronics Letters",
}
@Article{Bell:1968:ANR,
author = "James R. Bell",
title = "{Algorithm 334}: {Normal} Random Deviates [{G5}]",
journal = j-CACM,
volume = "11",
number = "7",
pages = "498--498",
month = jul,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:20 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See also \cite{Tracht:1982:RAN}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator); probability
functions",
}
@Book{Berlekamp:1968:ACT,
author = "Elwyn R. Berlekamp",
title = "Algebraic coding theory",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xiv + 466",
year = "1968",
LCCN = "QA268 .B46",
bibdate = "Sat Mar 10 10:01:51 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "McGraw-Hill series in systems science",
acknowledgement = ack-nhfb,
remark = "This book, and \cite{Massey:1969:SRS}, are the origin
of the Berlekamp--Massey algorithm for recovering
parameters from bit streams from linear feedback shift
register (LSFR) generators.",
subject = "Coding theory",
}
@Book{Bradley:1968:RTR,
author = "J. V. Bradley",
title = "Runs tests of randomness",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1968",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Mon Jan 16 22:12:33 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
xxnote = "Check: is this a book, or a book chapter, or a
conference paper??",
}
@Book{David:1968:NCM,
editor = "F. N. (Florence Nightingale) David",
title = "Normal centroids, medians and scores for ordinal
data",
volume = "29",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "201",
year = "1968",
LCCN = "QA47 .T7 no. 29",
bibdate = "Mon Jun 27 13:35:14 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Tracts for Computers",
acknowledgement = ack-nhfb,
editor-dates = "1909--1993",
subject = "Mathematical statistics; Tables",
}
@Article{Dieter:1968:AME,
author = "Ulrich Dieter",
title = "{Autokorrelation multiplikativ erzeugter
Pseudo-Zufallszahlen}. ({German}) [{Autocorrelation}
generated multiplicative pseudo-random numbers]",
journal = j-OPER-RES-VERFAHREN,
volume = "6",
number = "??",
pages = "69--85",
month = "????",
year = "1968",
CODEN = "ORVEAI",
ISSN = "0078-5318",
bibdate = "Fri Jan 6 10:19:53 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "{Operations Research-Verfahren}",
language = "German",
}
@Article{Forsythe:1968:RNG,
author = "A. B. Forsythe",
title = "Random number generators",
journal = j-COMPUT-AND-BIOMED-RES,
volume = "1",
number = "??",
pages = "470--474",
month = "????",
year = "1968",
CODEN = "CBMRB7",
ISSN = "0010-4809 (print), 1090-2368 (electronic)",
ISSN-L = "0010-4809",
bibdate = "Mon Jan 16 22:13:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computers and Biomedical Research",
}
@Article{Gardner:1968:MRS,
author = "Martin Gardner",
title = "On the meaning of randomness and some ways of
achieving it",
journal = j-SCI-AMER,
volume = "??",
number = "??",
pages = "116--121",
month = jul,
year = "1968",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Mon Jan 16 22:15:01 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Good:1968:GST,
author = "I. J. Good and T. N. Gover",
title = "The generalized serial test and the binary expansion
of $ \sqrt {2} $",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "131",
number = "??",
pages = "434--434",
month = "????",
year = "1968",
CODEN = "JSSAEF",
ISSN = "0035-9238",
bibdate = "Sat Jan 07 11:23:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Good:1967:GST}.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
}
@Article{Good:1968:RHP,
author = "I. J. Good and R. F. Churchhouse",
title = "The {Riemann} Hypothesis and Pseudorandom Features of
the {M{\"o}bius} Sequence",
journal = j-MATH-COMPUT,
volume = "22",
number = "104",
pages = "857--861",
month = oct,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/pdfplus/2004584.pdf",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Book{Green:1968:TRP,
author = "J. W. (John William) Green",
title = "Tables of random permutations",
publisher = "Department of National Development, Forestry and
Timber Bureau",
address = "Canberra, ACT, Australia",
pages = "161",
year = "1968",
LCCN = "SD110 .A33 no. 44",
bibdate = "Thu Mar 1 08:41:02 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Permutations; Tables",
}
@Article{Gregory:1968:GRP,
author = "G. Gregory and K. Sharpe",
title = "A Generalization of the Rejection Procedure for the
Generation of Random Variables",
journal = j-AUSTRALIAN-COMP-J,
volume = "1",
number = "3",
pages = "169--172",
year = "1968",
CODEN = "ACMJB2",
ISSN = "0004-8917",
bibdate = "Fri Mar 09 17:54:03 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "It is shown how the simple rejection procedure may be
generalized to cover the situation in which the range
of the variable is infinite, subject to some mild
restrictions. Methods for making the most efficient use
of this generalized procedure are also discussed.",
acknowledgement = ack-nhfb,
fjournal = "Australian Computer Journal",
}
@Article{Kruskal:1968:NNC,
author = "William Kruskal",
title = "Note on a Note by {C. S. Pillai}",
journal = j-AMER-STAT,
volume = "22",
number = "5",
pages = "24--25",
month = dec,
year = "1968",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326357;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Pillai:1968:NEI}.",
URL = "http://www.jstor.org/stable/2681837",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Lindholm:1968:APR,
author = "J. H. Lindholm",
title = "An Analysis of the Pseudo-Randomness Properties of
Subsequences of Long $m$-Sequences",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "IT-14",
number = "4",
pages = "569--576",
year = "1968",
CODEN = "IETTAW",
DOI = "https://doi.org/10.1109/TIT.1968.1054188",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Mon Feb 20 15:43:15 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
}
@TechReport{Marsaglia:1968:OLRa,
author = "George Marsaglia and T. A. Bray",
title = "One-line random number generators and their use in
combinations",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "12",
month = mar,
year = "1968",
bibdate = "Wed Nov 12 07:42:28 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0667956",
abstract = "This is a discussion of some one-line random number
generators, requiring a single FORTRAN instruction,
together with a description of some short FORTRAN
programs which mix several such generators. Evidence
suggesting that the simple congruential generators are
unsatisfactory continues to grow; one of the most
promising alternatives is to mix several simple
generators. These composite generators do better in
various tests for randomness than do the simple
congruential generators used at many computer
centers.",
acknowledgement = ack-nhfb,
}
@Article{Marsaglia:1968:OLRb,
author = "George Marsaglia and T. A. Bray",
title = "One-line random number generators and their use in
combinations",
journal = j-CACM,
volume = "11",
number = "11",
pages = "757--759",
month = nov,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.15",
MRnumber = "39\#5040",
MRreviewer = "R. R. Coveyou",
bibdate = "Fri Nov 25 18:20:22 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0164.18802",
abstract = "Some one-line random number generators, i.e.
generators requiring a single FORTRAN instruction are
discussed, and some short FORTRAN programs which mix
several such generators are described. The aim is to
provide methods for incorporating random number
generators directly in FORTRAN programs, by means of a
few in-line instructions. The advantages are speed
(avoiding linkage to and from a subroutine),
convenience, and versatility. Anyone wishing to
experiment with generators, either using congruential
generators by themselves or mixing several generators
to provide a composite with potentially better
statistical properties than the library generators
currently available, may wish to consider some of the
simple FORTRAN program discussed here.",
acknowledgement = ack-nhfb,
classcodes = "C6150E (General utility programs)",
corpsource = "Boeing Scientific Research Lab., Seattle, WA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "FORTRAN; Monte Carlo; numerical analysis; PRNG
(pseudo-random number generator); random number
generation; simulation; utility programs",
ZMreviewer = "R. R. Coveyou",
}
@Article{Marsaglia:1968:QPR,
author = "George Marsaglia",
title = "Query 27: Pseudo Random Normal Numbers",
journal = j-TECHNOMETRICS,
volume = "10",
number = "2",
pages = "401--402",
month = may,
year = "1968",
CODEN = "TCMTA2",
ISSN = "0040-1706 (print), 1537-2723 (electronic)",
ISSN-L = "0040-1706",
bibdate = "Tue Jun 21 19:29:12 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/1267057",
acknowledgement = ack-nhfb,
fjournal = "Technometrics",
journal-URL = "http://www.jstor.org/journals/00401706.html;
http://www.tandfonline.com/loi/utch20",
}
@Article{Marsaglia:1968:RNF,
author = "George Marsaglia",
title = "Random numbers fall mainly in the planes",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "61",
number = "1",
pages = "25--28",
day = "15",
month = sep,
year = "1968",
CODEN = "PNASA6",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "65.15",
MRnumber = "38 #3998; 235695",
bibdate = "Thu Nov 14 11:39:48 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "A popularized account of this work appeared as ``Are
random numbers really random?'' [Scientific Research
(Philadelphia, PA), 3 (1968), 21--??]. This
widely-cited paper describes the hyperplane problem
that linear congruential generators suffer from,
although careful choice of multipliers can minimize its
importance: see
\cite{Coveyou:1967:FAU,Dyadkin:1997:SBM,Dyadkin:1997:FEL,Dyadkin:2000:SBM}.",
ZMnumber = "0172.21002",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/search",
}
@Article{Matthews:1968:GPN,
author = "S. B. Matthews",
title = "Generation of Pseudorandom Noise Having a {Gaussian}
Spectral Density",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-17",
number = "4",
pages = "382--385",
month = apr,
year = "1968",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1968.229387",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 17:40:48 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1687351",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Meijer:1968:DASa,
author = "H. G. Meijer",
title = "The discrepancy of a {$G$}-adic sequence",
journal = "Nederl. Akad. Wetensch, Proc. Ser. A",
volume = "71",
number = "??",
pages = "54--66",
month = "????",
year = "1968",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 19 07:11:08 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0155.37801",
acknowledgement = ack-nhfb,
fjournal = "Nederlandse Akademie van Wetenschappen. Proceedings.
Series A. Indagationes Mathematicae",
}
@Article{Meijer:1968:DASb,
author = "H. G. Meijer",
title = "The discrepancy of a $g$-adic sequence",
journal = j-INDAG-MATH,
volume = "30",
number = "??",
pages = "54--66",
month = "????",
year = "1968",
CODEN = "IMTHBJ",
ISSN = "0019-3577, 0023-3358",
ISSN-L = "0019-3577",
MRnumber = "MR 228450",
bibdate = "Thu Jan 19 07:11:08 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Indagationes Mathematic{\ae}",
}
@Article{Millenson:1968:HRN,
author = "J. R. Millenson and G. D. Sullivan",
title = "A hardware random number generator for use with
computer control of probabilistic contingencies",
journal = j-BEHAV-RES-METH-INSTR,
volume = "1",
number = "5",
pages = "194--196",
month = jan,
year = "1968",
CODEN = "BRMIAC",
DOI = "https://doi.org/10.3758/BF03207980",
ISSN = "0005-7878",
bibdate = "Fri Mar 09 07:35:51 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/content/l6q4517x00r56955/",
acknowledgement = ack-nhfb,
fjournal = "Behavior Research Methods and Instrumentation",
keywords = "true random numbers from physical sources",
}
@Article{Miller:1968:ACP,
author = "J. C. P. Miller and M. J. Prentice",
title = "Additive congruential pseudo-random number
generators",
journal = j-COMP-J,
volume = "11",
number = "3",
pages = "341--346",
month = nov,
year = "1968",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:51:30 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/110341.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/341.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/342.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/343.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/344.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/345.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/346.tif",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "numerical methods; random number generation",
}
@InCollection{Muller:1968:RN,
author = "M. E. Muller",
editor = "????",
booktitle = "International Encyclopedia of Social Sciences",
title = "Random Numbers",
publisher = "????",
address = "????",
pages = "307--313",
year = "1968",
LCCN = "????",
bibdate = "Sat Jan 07 11:58:15 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Pillai:1968:NEI,
author = "C. S. Pillai",
title = "A Note on the Expectation of an Irrational Function of
a Random Variable",
journal = j-AMER-STAT,
volume = "22",
number = "3",
pages = "31--31",
month = jun,
year = "1968",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 09:31:38 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326355;
https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See note \cite{Kruskal:1968:NNC}.",
URL = "http://www.jstor.org/stable/2681808",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Polljak:1968:APN,
author = "Ju. G. Polljak",
title = "On the analysis of pseudorandom numbers",
journal = "Avtomat. i Vy\v cisl. Tehn.",
volume = "5",
number = "??",
pages = "31--35",
month = "????",
year = "1968",
CODEN = "????",
ISSN = "0132-4160",
MRclass = "65.15",
MRnumber = "MR 286248",
bibdate = "Thu Jan 19 08:06:26 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Avt. i Vy{\v{c}}isl. Tehn.",
fjournal = "Akademija Nauk Latvi\u\i sko\u\i\ SSR. Avtomatika i
Vy\v cislitel\cprime naja Tehnika",
language = "Russian",
}
@Article{Show:1968:AGR,
author = "Richard H. Show",
title = "{Algorithm 342}: {Generator} of random numbers
satisfying the {Poisson} distribution",
journal = j-CACM,
volume = "11",
number = "12",
pages = "819--820",
month = dec,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:23 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Sibuya:1968:GDE,
author = "M. Sibuya",
title = "Generating doubly exponential random numbers",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "5",
number = "??",
pages = "1--7",
year = "1968",
CODEN = "AISXAD",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
MRclass = "60.90",
MRnumber = "MR0238412 (38 #6688)",
MRreviewer = "M. Muller",
bibdate = "Thu Mar 08 21:23:01 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Annals of the Institute of Statistical Mathematics,
Supplement 5",
fjournal = "Annals of the Institute of Statistical Mathematics
(Tokyo)",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Snow:1968:AGR,
author = "R. H. Snow",
title = "{Algorithm 342}: {Generator} of Random Numbers
Satisfying the {Poisson} Distribution [{G5}]",
journal = j-CACM,
volume = "11",
number = "12",
pages = "819--820",
month = dec,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Mar 24 21:38:51 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "ITT Research Inst., Chicago, IL, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "complete computer programs; Monte Carlo methods;
number generation; PRNG (pseudo-random number
generator); random; subroutines",
}
@Article{Whittlesey:1968:CCB,
author = "John R. B. Whittlesey",
title = "A comparison of the correlational behavior of random
number generators for the {IBM 360}",
journal = j-CACM,
volume = "11",
number = "9",
pages = "641--644",
month = sep,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.15",
MRnumber = "MR 255011 (40\#8218)",
bibdate = "Fri Nov 25 18:20:21 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See implementation \cite{Fellen:1969:LEI}.",
abstract = "Hutchinson states that the ``new'' (prime modulo)
multiplicative congruential pseudorandom generator,
attributed to D. H. Lehmer, has passed the usual
statistical tests for random number generators. It is
here empirically shown that generators of this type can
produce sequences whose autocorrelation functions up to
lag 50 exhibit evidence of nonrandomness for many
multiplicative constants. An alternative generator
proposed by Tausworthe, which uses irreducible
polynomials over the field of characteristic two, is
shown to be free from this defect. The applicability of
these two generators to the IBM 360 is then discussed.
Since computer word size can affect a generator's
statistical behavior the older mixed and simple
congruential generators, although extensively tested on
computers having 36 or more bits per word, may not be
optimum generators for the IBM 360.",
acknowledgement = ack-nhfb,
country = "USA",
descriptors = "Tausworthe generator; RNG; test; comparison;
runtime/storage efficiency; linear congruential
generator; shift register sequences",
enum = "3287",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "32-bit versus 36-bit word size; autocorrelation
function; congruential generators; digital
shift-register generators; IBM 360; IBM S/360;
irreducible polynomials; linear recurrence modulo two;
prime numbers; primitive trinomials modulo two; PRNG
(pseudo-random number generator); pseudorandom number
generators; random numbers; serial correlation;
statistical tests for randomness",
references = "21",
remark = "Hutchinson states that the ``new'' (prime modulo)
multiplicative congruential pseudorandom generator,
attributed to D. H. Lehmer, has passed the usual
statistical tests for random number generators. It is
here empirically shown that generators of this type can
produce sequences whose autocorrelation functions up to
lag 50 exhibit evidence of non-randomness for many
multiplicative constants. an alternative generator
proposed by Tausworthe, which us\ldots{}",
ZMreviewer = "R. R. Coveyou",
}
@Article{Zaremba:1968:GLP,
author = "S. C. Zaremba",
title = "Good lattice points in the sense of {Hlawka} and
{Monte Carlo} integration",
journal = j-MONAT-MATH,
volume = "72",
number = "3",
pages = "264--269",
month = jun,
year = "1968",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/BF01362552",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "65.15",
MRnumber = "0228155 (37 \#3739)",
MRreviewer = "J. Spanier",
bibdate = "Thu Jan 19 08:34:10 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/content/j48m46451580607q/",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
}
@Article{Zaremba:1968:MBM,
author = "S. K. Zaremba",
title = "The Mathematical Basis of {Monte Carlo} and
Quasi-{Monte Carlo} Methods",
journal = j-SIAM-REVIEW,
volume = "10",
number = "3",
pages = "303--314",
month = jul,
year = "1968",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1010056",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRnumber = "233489",
bibdate = "Thu Mar 27 09:05:58 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/10/3;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://www.jstor.org/stable/2027655",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1968",
}
@Article{Beasley:1969:DTS,
author = "J. D. Beasley and K. Wilson",
title = "Design and testing of the {System 4} random number
generator",
journal = j-COMP-J,
volume = "12",
number = "4",
pages = "368--372",
month = nov,
year = "1969",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:51:40 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/120368.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/368.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/369.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/370.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/371.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/372.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "random number generation",
}
@Article{Bell:1969:DFT,
author = "C. B. Bell and J. F. Donoghue",
title = "Distribution-free tests of randomness",
journal = j-SANKHYA-A,
volume = "31",
number = "??",
pages = "157--176",
month = "????",
year = "1969",
CODEN = "SANABS",
ISSN = "0036-4452",
bibdate = "Mon Jan 16 22:07:31 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Sankhy{\=a} (Indian Journal of Statistics), Series A.
Methods and Techniques",
}
@Article{Chaitin:1969:LPC,
author = "Gregory J. Chaitin",
title = "On the Length of Programs for Computing Finite Binary
Sequences: {Statistical} Considerations",
journal = j-J-ACM,
volume = "16",
number = "1",
pages = "145--159",
month = jan,
year = "1969",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321495.321506",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Sat Oct 22 22:05:56 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "An attempt is made to carry out a program (outlined in
a previous paper) for defining the concept of a random
or patternless, finite binary sequence, and for
subsequently defining a random or patternless, infinite
binary sequence to be a sequence whose initial segments
are all random or patternless finite binary sequences.
A definition based on the bounded-transfer Turing
machine is given detailed study, but insufficient
understanding of this computing machine precludes a
complete treatment. A computing machine is introduced
which avoids these difficulties.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@InProceedings{Coveyou:1969:RNG,
author = "R. R. Coveyou",
title = "Random number generation is too important to be left
to chance",
crossref = "Anonymous:1969:CPP",
pages = "70--111",
year = "1969",
LCCN = "QA1 S565 v. 3",
bibdate = "Thu Jan 12 17:50:36 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
remark = "The clever title of this paper is widely cited on the
Internet, but the contents are heavily mathematical. On
page 108, section 12, the author remarks ``There is at
present no RNG known to be superior to an SLCRNG
[simple linear congruential random number generator]
with a carefully chosen multiplier $ \lambda $. The
choice of addend $ \mu $ is not of great importance.''
The reference is to a generator of the form $ x_{n + 1}
= (\lambda x_x + \mu) \bmod P $, and page 93 gives
conditions on the parameters $ \lambda $ and $ \mu $
for reaching maximal period $P$. However, since this
paper was written, many much better generators have
been found. In the same section, Coveyou says ``reports
of {\em good\/} performance of RNG, not supported by
theory, must be deemed irrelevant.'' Pages 108--110
contain critical comments on entry
\cite{Zaremba:1969:MBM}.",
}
@Article{Cunsolo:1969:CNP,
author = "D. Cunsolo",
title = "Costruzione di numeri pseudorandom con periodo
superiore alla base $m$. ({Italian}) [Generation of
pseudorandom numbers with period greater than the base
$m$ ]",
journal = j-CALCOLO,
volume = "6",
number = "1",
pages = "69--85",
month = mar,
year = "1969",
CODEN = "CALOBK",
DOI = "https://doi.org/10.1007/BF02576125",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
ISSN-L = "0008-0624",
bibdate = "Mon Jan 16 22:08:25 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/content/60u464k30851uj27/",
acknowledgement = ack-nhfb,
fjournal = "Calcolo: a quarterly on numerical analysis and theory
of computation",
journal-URL = "http://link.springer.com/journal/10092",
language = "Italian",
remark = "From the English abstract: ``In the present study a
modified method (of the linear congruential generator,
$ x_{n + 1} = (a x_n + b) \bmod m $ ) is proposed in
order to increase this period up to values of $ M
\approx m^2 $. The modified method consists in a
systematic variation of the parameter $b$, with a
period conveniently different from $m$''.",
}
@TechReport{Deo:1969:APN,
author = "N. Deo and D. Rubin",
title = "An additive pseudorandom number generator with
semi-infinite sequence length",
type = "Report",
institution = "NASA",
address = "????",
pages = "4",
year = "1969",
bibdate = "Thu Jan 19 17:27:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Document ID 19700050209.",
acknowledgement = ack-nhfb,
remark = "U. of Hawaii, Hawaii International Conference on
System Sciences, 2nd, U. of Hawaii; 2nd; Jan. 22--24,
1969; Honolulu, HI",
}
@Article{Dieter:1969:AME,
author = "Ulrich Dieter",
title = "{Autokcorrelation multiplikativ erzeugter
Pseudo-Zufallszahlen}. ({German}) [{Autocorrelation} in
multiplicatively-generated pseudorandom numbers]",
journal = j-OPER-RES-VERFAHREN,
volume = "6",
number = "??",
pages = "69--85",
month = "????",
year = "1969",
CODEN = "ORVEAI",
ISSN = "0078-5318",
bibdate = "Mon Jan 16 22:09:26 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "{Operations Research-Verfahren}",
language = "German",
}
@Article{Donnelly:1969:STU,
author = "T. Donnelly",
title = "Some techniques for using pseudorandom numbers in
computer simulation",
journal = j-CACM,
volume = "12",
number = "7",
pages = "392--394",
month = jul,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:27 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C1220 (Simulation, modelling and identification);
C4190 (Other numerical methods)",
corpsource = "Univ. North Carolina, Chapel Hill, NC, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "numerical methods; PRNG (pseudo-random number
generator); simulation",
}
@Article{Downham:1969:RT,
author = "D. Y. Downham",
title = "The runs up and down test",
journal = j-COMP-J,
volume = "12",
number = "4",
pages = "373--376",
month = nov,
year = "1969",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:51:40 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/120373.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/373.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/374.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/375.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/tiff/376.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "random number generation",
}
@Article{Fellen:1969:LEI,
author = "Bryna M. Fellen",
title = "Letter to the {Editor}: an implementation of the
{Tausworthe} generator",
journal = j-CACM,
volume = "12",
number = "7",
pages = "413--413",
month = jul,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363156.363194",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:27 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Whittlesey:1968:CCB}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Good:1969:HRR,
author = "I. J. Good",
title = "How random are random numbers?",
journal = j-AMER-STAT,
volume = "23",
number = "4",
pages = "42--45",
month = oct,
year = "1969",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amstat1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2681742",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
remark = "The prolific author I. J. Good (his `shorter
publications list' available on the Web lists 2378 of
his publications) reports in \cite[page 43, column
2]{Good:1969:HRR} ``This method [the multiplicative
congruential generator] was proposed by the writer in a
classified paper in 1948 and [independently] by Lehmer
\cite{Lehmer:1951:MML} [the proceedings of a September
1949 conference].'' See also the remark from this paper
in entry \cite{Good:1950:PWE}.",
}
@Article{Grosenbaugh:1969:MFR,
author = "L. R. Grosenbaugh",
title = "More on {Fortran} random number generators",
journal = j-CACM,
volume = "12",
number = "11",
pages = "639--639",
month = nov,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:28 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
}
@Article{Gubenko:1969:FPR,
author = "V. S. Gubenko and N. E. Kirillov and K. A.
Me{\v{s}}kovski{\u\i} and A. I. {\v{C}}erkunov",
title = "Formation of pseudo-random uniformly distributed
numbers from noise-like signals",
journal = "Izv. Akad. Nauk SSSR Tehn. Kibernet.",
volume = "1",
number = "??",
pages = "57--63",
month = "????",
year = "1969",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 19 06:54:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Hemmerle:1969:GPN,
author = "W. J. Hemmerle",
title = "Generating pseudorandom numbers on a two's complement
machine such as the {IBM 360}",
journal = j-CACM,
volume = "12",
number = "7",
pages = "382--383",
month = jul,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363156.363166",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:27 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The familiar multiplicative congruential generator is
examined in the context of the type of two's complement
arithmetic used in the IBM 360 series. Different
sequences of residues are considered and relationships
established among them. It is shown that a sequence of
positive and negative residues may be produced more
simply and economically than with the conventional
approach and yet have twice the period of the latter
without loss of desirable statistical properties.
Another easily generated sequence involving absolute
values is also shown to have twice the period but with
the less attractive statistical properties. The
statistical properties of these sequences are given and
related to previously established criteria.",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods); C7890 (Other
special applications of computing)",
corpsource = "Univ. Rhode Island, Kingston, RI, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "digital arithmetic; IBM S/360; PRNG (pseudo-random
number generator); random number generation",
}
@Article{Knop:1969:RAG,
author = "R. Knop",
title = "Remark on {Algorithm 334} [{G5}]: {Normal} random
deviates",
journal = j-CACM,
volume = "12",
number = "5",
pages = "281--281",
month = may,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:26 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
country = "USA",
descriptors = "RVG",
enum = "7513",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
references = "0",
}
@Article{Kruskal:1969:EPR,
author = "J. B. Kruskal",
title = "Extremely Portable Random Number Generator",
journal = j-CACM,
volume = "12",
number = "2",
pages = "93--94",
month = feb,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:24 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Extremely portable subroutines are sometimes needed
for which moderate quality and efficiency suffice.
Typically, this occurs for library functions (like
random number generation and in core sorting) which are
not entirely universal or are not used in a
standardized way. The literature on random number
generators does not seem to contain an algorithm that
meets requirements of this sort. An extremely portable
8-line FORTRAN program is provided which based on an
important paper by Coveyou and MacPherson (1967).Using
their methods, Fourier analysis is applied to the
probability function for the consecutive n-tuples
provided by our generator (with $n$ less than or equal
to 4). While the small modulus which must be used to
maintain portability prevents the quality of the
generator from being high, the generator compares well
with the bounds established in the above mentioned
paper.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Bell Telephone Lab. Inc., Murray Hill, NJ, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "linear sequential generators; PRNG (pseudo-random
number generator); pseudo random numbers; random
generators; random number analysis; random number
generation; random number generators; random number
program; random numbers; subroutines",
}
@Article{Lee:1969:ECF,
author = "W. C. Y. Lee",
title = "An extended correlation function of two random
variables applied to mobile radio transmission",
journal = j-BELL-SYST-TECH-J,
volume = "48",
number = "10",
pages = "3423--3440",
month = dec,
year = "1969",
CODEN = "BSTJAN",
ISSN = "0005-8580",
MRclass = "94.10",
MRnumber = "0261999 (41 \#6609)",
MRreviewer = "P. M. Lee",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1969/BSTJ.1969.4810.html;
http://www.alcatel-lucent.com/bstj/vol48-1969/bstj-vol48-issue10.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See erratum \cite{Anonymous:1970:EWC}.",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol48/bstj48-10-3423.pdf;
http://www.alcatel-lucent.com/bstj/vol48-1969/articles/bstj48-10-3423.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Lehmer:1969:BRR,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Random number generators}}
by Birger Jansson}",
journal = j-QUART-APPL-MATH,
volume = "27",
number = "3",
pages = "421--421",
year = "1969",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.2307/43636000",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/43636000",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewed-author = "Birger Jansson",
}
@Article{Lewis:1969:PNG,
author = "P. A. W. Lewis and A. S. Goodman and J. M. Miller",
title = "A pseudorandom number generator for the {SYSTEM\slash
360}",
journal = j-IBM-SYS-J,
volume = "8",
number = "2",
pages = "136--146",
year = "1969",
CODEN = "IBMSA7",
ISSN = "0018-8670",
bibdate = "Tue Mar 19 17:38:46 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IBM Systems Journal",
}
@TechReport{Marsaglia:1969:OSA,
author = "George Marsaglia",
title = "One-Sided Approximations by Linear Combinations of
Functions",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "18",
month = sep,
year = "1969",
bibdate = "Wed Nov 12 07:42:28 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0695796",
abstract = "The paper discusses how to approximate a function $
g(x) $ from one side by a linear combination of
functions $ f_1 (x), \ldots {}, f_n(x) $ so as to
minimize the area between the two. It discusses the
problem as one of finding the point where a moving
hyperplane last touches a convex set and an approximate
procedure based on linear programming methods. It gives
details of an algorithm for solving the problem,
examples, and applications to Monte Carlo Theory ---
generating random variables in a computer.",
acknowledgement = ack-nhfb,
}
@TechReport{Marsaglia:1969:RCR,
author = "George Marsaglia",
title = "Regularities in congruential random number
generators",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "8",
month = may,
year = "1969",
bibdate = "Wed Nov 12 07:42:28 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0689295",
abstract = "The paper suggests that points in $n$-space produced
by congruential random number generators are too
regular for general Monte Carlo use. Regularity was
established previously for multiplicative congruential
generators by showing that all the points fall in sets
of relatively few parallel hyperplanes. The existence
of many containing sets of parallel hyperplanes was
easily established, but proof that the number of
hyperplanes was small required a result of Minkowski
from the geometry of numbers --- a symmetric, convex
set of volume 2 to the nth power must contain at least
two points with integral coordinates. The present paper
takes a different approach to establishing the course
lattice structure of congruential generators. It gives
a simple, self-contained proof that points in $n$-space
produced by the general congruential generator $ r_(i +
1)$ is identically equal to $ a(r_i) + b \bmod m$ must
fall on a lattice with unit-cell volume at least $m$ to
the power $ (n - 1)$. There is no restriction on $a$ or
$b$; this means that all congruential random number
generators must be considered unsatisfactory in terms
of lattices containing the points they produce, for a
good generator of random integers should have an
$n$-lattice with unit-cell volume 1.",
acknowledgement = ack-nhfb,
}
@Article{Martin-Lof:1969:AR,
author = "P. Martin-L{\"o}f",
title = "Algorithms and randomness",
journal = j-REV-INST-INT-STATIST,
volume = "37",
number = "??",
pages = "265--272",
month = "????",
year = "1969",
CODEN = "????",
ISSN = "0373-1138",
bibdate = "Mon Jan 16 22:10:43 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Revue de l'Institut international de statistique =
Review of the International Statistical Institute",
}
@Article{Massey:1969:SRS,
author = "J. L. Massey",
title = "Shift-Register Synthesis and {BCH} Decoding",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "IT-15",
number = "1",
pages = "122--127",
month = jan,
year = "1969",
CODEN = "IETTAW",
DOI = "https://doi.org/10.1109/TIT.1969.1054260",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Mon Jun 27 21:47:51 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
remark = "This paper, and \cite{Berlekamp:1968:ACT}, are the
origin of the Berlekamp--Massey algorithm for
recovering parameters from bit streams from linear
feedback shift register (LSFR) generators.",
}
@Article{Meyer:1969:MGR,
author = "D. L. Meyer",
title = "Methods of generating random normal numbers",
journal = j-EDU-PSYCH-MEASUREMENT,
volume = "29",
number = "1",
pages = "193--198",
month = "????",
year = "1969",
CODEN = "EPMEAJ",
ISSN = "0013-1644 (print), 1552-3888 (electronic)",
ISSN-L = "0013-1644",
bibdate = "Thu Mar 08 21:21:54 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Educational and Psychological Measurement",
}
@Article{Naylor:1969:BSG,
author = "T. H. Naylor",
title = "Bibliography 19: Simulation and gaming",
journal = j-COMP-REV,
volume = "10",
number = "??",
pages = "61--69",
month = "????",
year = "1969",
CODEN = "CPGRA6",
ISSN = "0010-4884, 0149-1202",
ISSN-L = "0010-4884",
bibdate = "Thu Jan 19 07:22:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing Reviews",
}
@Article{Passaquindici:1969:MMC,
author = "Maria Passaquindici",
title = "{I} metodi di {Monte Carlo} e la generazione dei
numeri casuali. ({Italian}) [{Monte Carlo} methods and
the generation of random numbers]",
journal = j-METRON,
volume = "27",
number = "3--4",
pages = "88--112, i--viii. (2 foldouts)",
month = "????",
year = "1969",
CODEN = "MRONAM",
ISSN = "0026-1424 (print), 2281-695X (electronic)",
ISSN-L = "0026-1424",
MRclass = "65C10",
MRnumber = "324869",
MRreviewer = "E. Bareiss",
bibdate = "Sun Jul 5 08:55:46 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/metron1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0204.51501",
acknowledgement = ack-nhfb,
fjournal = "Metron",
journal-URL = "https://www.springer.com/journal/40300",
language = "Italian",
ZMnumber = "03325334",
}
@Article{Payne:1969:CLP,
author = "W. H. Payne and J. R. Rabung and T. P. Bogyo",
title = "Coding the {Lehmer} pseudo-random number generator",
journal = j-CACM,
volume = "12",
number = "2",
pages = "85--86",
month = feb,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/362848.362860",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:24 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "An algorithm and coding technique is presented for
quick evaluation of the Lehmer pseudo-random number
generator modulo $ 2^{31} - 1 $, a prime Mersenne
number which produces $ 2^{31} - 2 $ numbers, on a
$p$-bit (greater than $ 31 $ ) computer. The
computation method is extendible to limited problems in
modular arithmetic. Prime factorization for $ 2^{61} -
2 $ and a primitive root for $ 2^{61} - 1 $, the next
largest prime Mersenne number, are given for possible
construction of a pseudo-random number generator of
increased cycle length.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Washington State Univ., Pullman, WA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "modular arithmetic; prime factorization; primitive
roots; PRNG (pseudo-random number generator);
programming; pseudo-random number; random number;
random number generation; simulation; uniform frequency
function; uniform probability density",
}
@Article{Seraphin:1969:NAF,
author = "Dominic S. Seraphin",
title = "Numerical Analysis: a fast random number generator for
{IBM 360}",
journal = j-CACM,
volume = "12",
number = "12",
pages = "695--695",
month = dec,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:29 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "State Univ. New York, Stony Brook, NY, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "IBM S/360; PRNG (pseudo-random number generator);
random number generation; subroutines",
}
@Article{Verdier:1969:RWS,
author = "P. H. Verdier",
title = "Relations within sequences of congruential
pseudorandom numbers",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "73",
number = "??",
pages = "41--44",
month = "????",
year = "1969",
CODEN = "JNBBAU",
ISSN = "0022-4340",
bibdate = "Mon Jan 16 22:11:30 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Research of the National Bureau of
Standards. Section B, Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
}
@Article{Whittlesey:1969:LEM,
author = "John R. B. Whittlesey",
title = "Letter to the {Editor}: {On} the Multidimensional
Uniformity of Pseudorandom Generators",
journal = j-CACM,
volume = "12",
number = "5",
pages = "247--247",
month = may,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:26 MST 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Marsaglia:1968:RNF}.",
acknowledgement = ack-nhfb,
annote = "It would appear that George Marsaglia's recent article
proving that all the pseudorandom points generated in
the unit n-cube ``will be found to lie in a relatively
small number of parallel hyperplanes'' has given the
coup de grace, to the use of multiplicative
congruential generators in all Monte Carlo
applications, except those having the most
non-stringent requirements for multidimensional
uniformity.",
country = "USA",
descriptors = "Comparison; shift register sequences; Tausworthe
generator; RNG; test; multidimensional uniformity; grid
structure; linear congruential generator",
enum = "3286",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
references = "7",
remark = "It would appear that George Marsaglia's recent article
proving that all the pseudorandom points generated in
the unit n-cube ``will be found to lie in a relatively
small number of parallel hyperplanes'' has given the
coup de grace, to the use of multiplicative
congruential generators in all Monte Carlo
applications, except those having the most
non-stringent requirements for multidimensional
uniformity.",
}
@InProceedings{Zaremba:1969:MBM,
author = "S. K. Zaremba",
title = "The Mathematical Basis of {Monte Carlo} and
quasi-{Monte Carlo} Methods",
crossref = "Anonymous:1969:CPP",
pages = "1--12",
year = "1969",
LCCN = "QA1 S565 v. 3",
bibdate = "Thu Jan 12 17:50:36 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See critical comments in \cite[pages
108--110]{Coveyou:1969:RNG}.",
acknowledgement = ack-nhfb,
}
@Article{Ahrens:1970:PRN,
author = "J. H. Ahrens and Ulrich Dieter and A. Grube",
title = "Pseudo-Random Numbers. {A} New Proposal for the Choice
of Multiplicators",
journal = j-COMPUTING,
volume = "6",
number = "1--2",
pages = "121--138",
month = mar,
year = "1970",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
acknowledgement = ack-ec # " and " # ack-nhfb,
affiliation = "Nova Scotia Tech. Coll., Halifax, NS, Canada",
classification = "C7890",
description = "random number generation; subroutines",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "ALGOL subroutines; autocorrelation of sequence; choice
of multiplicators; FORTRAN subroutines; pseudo-random
numbers",
}
@Article{Anonymous:1970:EWC,
author = "Anonymous",
title = "Erratum: {W. C. Y. Lee, {\em An extended correlation
function of two random variables applied to mobile
radio transmission}, BSTJ {\bf 48}(10) 3423--3440
(1969)}",
journal = j-BELL-SYST-TECH-J,
volume = "49",
number = "2",
pages = "320--320",
month = feb,
year = "1970",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1970/BSTJ.1970.4902.html;
http://www.alcatel-lucent.com/bstj/vol49-1970/bstj-vol49-issue02.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Lee:1969:ECF}.",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol49/bstj49-2-320.pdf;
http://www.alcatel-lucent.com/bstj/vol49-1970/articles/bstj49-2-320.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@TechReport{Anonymous:1970:FVP,
author = "Anonymous",
title = "A {Fortran V} package for testing and anaylsis of
pseudorandom number generators",
type = "Technical report",
number = "CP-700011",
institution = "Computer Science/Operations Research Center, Institute
of Technology, Southern Methodist University",
address = "Dallas, TX, USA",
pages = "32",
year = "1970",
bibdate = "Fri Feb 09 17:44:49 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Behboodian:1970:ERV,
author = "Javad Behboodian",
title = "On the Expectation of the Random Variable {$ (X^2 -
Y^2)^{1 / 2} $}",
journal = j-AMER-STAT,
volume = "24",
number = "4",
pages = "28--29",
month = oct,
year = "1970",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:19 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326366;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2681312",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Blaisdell:1970:RSP,
author = "B. E. Blaisdell and H. Solomon",
title = "On random sequential packing in the plane and a
conjecture of {Pal{\'a}sti}",
journal = j-J-APPL-PROBAB,
volume = "7",
number = "3",
pages = "667--689",
month = dec,
year = "1970",
CODEN = "JPRBAM",
ISSN = "0021-9002 (print), 1475-6072 (electronic)",
ISSN-L = "0021-9002",
bibdate = "Wed Feb 29 21:17:55 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/kepler.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/3211946",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Probability",
journal-URL = "http://www.jstor.org/journals/00219002.html;
http://projecteuclid.org/euclid.jap/",
keywords = "parking-lot test; sphere packing",
}
@Article{Butler:1970:AAG,
author = "E. L. Butler",
title = "{ACM Algorithm 370}: General Random Number Generator",
journal = j-CACM,
volume = "13",
number = "1",
pages = "49--52",
month = jan,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See remark \cite{Proll:1972:RAA}.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Texas A and M Univ., College Station, TX, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "random number generation; subroutines",
}
@Article{Cenacchi:1970:PRN,
author = "G. Cenacchi and A. {De Matteis}",
title = "Pseudo-random numbers for comparative {Monte Carlo}
calculations",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "11--15",
month = feb,
year = "1970",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02162402",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "To compare the results of two slightly different
situations in a given problem solved by the Monte Carlo
method it is convenient to use the same random numbers
in both cases. To facilitate the reproducibility of the
random numbers used a method based on two pseudo-random
number generators may be adopted. In this paper the
method is discussed with reference to multiplicative
congruential generators, the influence of the initial
value on a random sequence obtained by a given
multiplier being examined first.",
acknowledgement = ack-nhfb,
classification = "C1140G (Monte Carlo methods); C7890 (Other special
applications of computing)",
corpsource = "CNEN, Bologna, Italy",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Monte Carlo methods; random number generation",
}
@Article{Dixon:1970:NSE,
author = "J. Dixon",
title = "The number of steps in the {Euclidean} algorithm",
journal = j-J-NUMBER-THEORY,
volume = "2",
number = "??",
pages = "414--422",
month = "????",
year = "1970",
CODEN = "JNUTA9",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Thu Dec 29 07:11:27 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Number Theory",
}
@Article{Downham:1970:SAA,
author = "D. Y. Downham",
title = "Statistical Algorithms: {Algorithm AS 29}: The Runs Up
and Down Test",
journal = j-APPL-STAT,
volume = "19",
number = "2",
pages = "190--192",
month = jun,
year = "1970",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:19:52 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Wedderburn:1976:SAR}.",
URL = "http://lib.stat.cmu.edu/apstat/29",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{Fuchs:1970:EDR,
author = "E. A. Fuchs and P. E. Jackson",
title = "Estimates of Distributions of Random Variables for
Certain Computer Communications Traffic Models",
journal = j-CACM,
volume = "13",
number = "12",
pages = "752--757",
month = dec,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/network.bib;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1970.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Reproduced in Advances in Computer Commun., Chu, W.
W., (Ed (1974), 2-7; in Computer Commun., Green, P. E.,
and Lucky, R. W. (Eds.), (1975), 577-582).",
abstract = "A study of multiaccess computer communications has
characterized the distributions underlying an
elementary model of the user-computer interactive
process. The model used is elementary in the sense that
many of the random variables that generally are of
interest in computer communications studies can be
decomposed into the elements of this model. Data were
examined from four operational multiaccess systems, and
the model is shown to be robust; that is each of the
variables of the model has the same distribution
independent of which of the four systems is being
examined. It is shown that the gamma distribution can
be used to describe the discrete variables.
Approximations to the gamma distribution by the
exponential distribution are discussed for the systems
studied.",
acknowledgement = ack-nhfb,
classcodes = "C4290 (Other computer theory)",
corpsource = "Bell Telephone Labs. Inc., Holmdel, NJ, USA",
descriptors = "Random Process; Computer Communication; Traffic Model;
Distribution; Estimation",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "computation theory; computer communications;
distribution of random variables; modelling;
multi-access systems; multiaccess systems; operating
systems; operating systems (computers); optimisation
models; optimization models; time-sharing; time-sharing
systems; user computer interactive processes",
treatment = "T Theoretical or Mathematical",
}
@Article{Good:1970:RPM,
author = "Irving John Good",
title = "Review of {Philip McShane, \booktitle{Randomness,
Statistics, and Emergence}, Gill and MacMillan, 1970}",
journal = "Times Literary Supplement",
volume = "??",
number = "??",
pages = "1043",
day = "18",
month = sep,
year = "1970",
bibdate = "Mon Nov 12 08:43:06 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See book \cite{McShane:1970:RSE}.",
acknowledgement = ack-nhfb,
}
@Article{Gustavson:1970:FRN,
author = "F. G. Gustavson and W. Liniger",
title = "A Fast Random Number Generator with Good Statistical
Properties",
journal = j-COMPUTING,
volume = "6",
number = "3--4",
pages = "221--226",
year = "1970",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
acknowledgement = ack-ec # " and " # ack-nhfb,
affiliation = "IBM, Yorktown Heights, NY, USA",
classification = "C7890",
description = "random number generation",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "calculation time reduction; division operation;
IBM/360; overflow tests removal; random number
generator; shift instructions; speed increasing;
statistical properties",
}
@Article{Haber:1970:NEM,
author = "Seymour Haber",
title = "Numerical Evaluation of Multiple Integrals",
journal = j-SIAM-REVIEW,
volume = "12",
number = "4",
pages = "481--526",
month = oct,
year = "1970",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1012102",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:22 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/12/4;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://www.jstor.org/stable/2028488",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "October 1970",
remark = "Tutorial on multidimensional Monte Carlo
integration.",
}
@Article{Haber:1970:SNA,
author = "Seymour Haber",
title = "Sequences of Numbers That Are Approximately Completely
Equidistributed",
journal = j-J-ACM,
volume = "17",
number = "2",
pages = "269--272",
month = apr,
year = "1970",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321574.321580",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Sun Nov 6 11:54:52 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Halton:1970:RPS,
author = "John H. Halton",
title = "A Retrospective and Prospective Survey of the {Monte
Carlo} Method",
journal = j-SIAM-REVIEW,
volume = "12",
number = "1",
pages = "1--63",
month = "????",
year = "1970",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1012001",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:14 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/12/1;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1970",
}
@Article{Harris:1970:AFG,
author = "V. C. Harris",
title = "An Algorithm for Finding the Greatest Common Divisor",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "102--103",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/harris1.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Hastings:1970:MCS,
author = "W. K. Hastings",
title = "{Monte Carlo} Sampling Methods Using {Markov} Chains
and Their Applications",
journal = j-BIOMETRIKA,
volume = "57",
number = "1",
pages = "97--109",
month = apr,
year = "1970",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2334940",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
bibdate = "Sat Jun 21 14:33:36 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315464;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "This paper introduces what is now known as the
Metropolis--Hastings algorithm, a generalization of the
work in \cite{Metropolis:1953:ESC}. See \cite[page
255]{Hitchcock:2003:HMH}.",
URL = "http://www.jstor.org/stable/2334940;
http://www.probability.ca/hastings/",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://www.jstor.org/journals/00063444.html",
keywords = "Metropolis--Hastings algorithm",
}
@Book{Johnson:1970:CUD,
author = "Norman Lloyd Johnson and Samuel Kotz",
title = "Continuous univariate distributions",
publisher = "Hougton Mifflin",
address = "New York, NY, USA",
pages = "xiv + 300 (vol. 1), xiii + 306 (vol. 2)",
year = "1970",
LCCN = "QA273.6 .J6",
MRclass = "62Exx, 62-02, 62E10, 62E15",
bibdate = "Thu Mar 1 09:37:58 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Distributions in statistics",
ZMnumber = "Zbl 0213.21101",
acknowledgement = ack-nhfb,
subject = "distribution (probability theory)",
}
@Article{Juncosa:1970:BRBb,
author = "Mario Juncosa",
title = "Book Review: {{\booktitle{Random Number Generators}}
(Birger Jansson)}",
journal = j-SIAM-REVIEW,
volume = "12",
number = "2",
publisher = "SIAM",
pages = "310--311",
month = "????",
year = "1970",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1012068",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:17 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/12/2;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/?SIR/12/310/1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "April 1970",
}
@Article{Kale:1970:CNN,
author = "B. K. Kale",
title = "Classroom Notes: Normality of Linear Combinations of
Non-Normal Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "77",
number = "9",
pages = "992--995",
month = nov,
year = "1970",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:07 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Knop:1970:AAR,
author = "R. E. Knop",
title = "{ACM Algorithm 381}: Random Vectors Uniform In Solid
Angle",
journal = j-CACM,
volume = "13",
number = "5",
pages = "326--326",
month = may,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See remark \cite{Schrack:1972:RAR}.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Rutgers Univ., New Brunswick, NJ, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "random number generation; subroutines",
}
@Article{Lempel:1970:HBG,
author = "A. Lempel",
title = "On a Homomorphism of the {de Bruijn} Graph and its
Applications to the Design of Feedback Shift
Registers",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-19",
number = "12",
pages = "1204--1209",
month = dec,
year = "1970",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1970.222859",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 08:01:38 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671452",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@InCollection{Linder:1970:TTR,
author = "Arthur Linder",
title = "Testing a table of random numbers",
crossref = "Bose:1970:EPS",
pages = "469--478",
year = "1970",
bibdate = "Mon Jan 16 22:00:01 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0228.62003",
acknowledgement = ack-nhfb,
}
@Article{Maritsas:1970:CSV,
author = "D. G. Maritsas and M. G. Hartley",
title = "A Case Study of a Versatile Generator of Repeatable
Non-{Poisson} Sequences of Pseudorandom Pulses",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-19",
number = "10",
pages = "924--938",
month = oct,
year = "1970",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1970.222800",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 08:01:37 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671393",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Maritsas:1970:DCG,
author = "D. G. Maritsas and M. G. Hartley",
title = "Design Criteria for a Generator of Repeatable
Non-{Poisson} Sequences of Pseudorandom Pulses",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-19",
number = "9",
pages = "812--817",
month = sep,
year = "1970",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1970.223045",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 08:01:36 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671638",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Marsaglia:1970:RCR,
author = "George Marsaglia",
title = "Regularities in congruential random number
generators",
journal = j-NUM-MATH,
volume = "16",
number = "1",
pages = "8--10",
month = feb,
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.15",
MRnumber = "42 \#8651; 273775",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0212.18204",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "Boeing Sci. Res. Labs., Seattle, WA, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "random number generation",
xxyear = "1970/1971",
ZMclass = "65C10 Random number generation",
}
@TechReport{Marsaglia:1970:RVI,
author = "George Marsaglia",
title = "Random Variables with Independent Binary Digits",
type = "Report",
number = "??",
institution = inst-BOEING-SRL,
address = inst-BOEING-SRL:adr,
pages = "15",
month = jan,
year = "1970",
bibdate = "Wed Nov 12 07:42:28 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/docs/citations/AD0705642",
abstract = "Let $ X = .b_1 b_2 b_3 \ldots {} $ be a random
variable with independent binary digits $ b_n $ taking
values $0$ or $1$ with probabilities $ p_n$ and $ q_n$.
When does $X$ have a density function? A continuous
density function? A singular distribution? This note
proves that the distribution $X$ is singular is and
only if the tail of the series $ \sum (\log (p_n /
q_n))$ squared diverges, and that $X$ has a density
that is positive on some interval if and only if $ \log
(p_n / q_n)$ is a geometric sequence with ratio $ 1 /
2$ for $n$ greater than some $k$, and in that case the
fractional part of $ 2^k X$ has an exponential density
(increasing or decreasing with the uniform density a
special case). It gives a sufficient condition for $X$
to have a density, ($ \sum \log (2 \max (p_n, q_n))$
converges), but unless the tail of the sequence $ \log
(p_n / q_n)$ is geometric, ratio $ 1 / 2$, the density
is a weird one that vanishes at least once in every
interval.",
acknowledgement = ack-nhfb,
}
@Book{McShane:1970:RSE,
author = "P. McShane",
title = "Randomness, Statistics and Emergence",
publisher = "University of Notre Dame Press",
address = "South Bend, IN, USA",
pages = "x + 268",
year = "1970",
LCCN = "????",
bibdate = "Thu Jan 19 07:09:48 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
remark = "Also published by Gill and Macmillan, Dublin,
Ireland.",
}
@Article{Murry:1970:GAG,
author = "Herschell F. Murry",
title = "A General Approach for Generating Natural Random
Variables",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-19",
number = "12",
pages = "1210--1213",
month = dec,
year = "1970",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1970.222860",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 08:01:39 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671453",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
keywords = "true random numbers from physical sources",
}
@Article{Payne:1970:FTP,
author = "W. H. Payne",
title = "{Fortran Tausworthe} pseudorandom number generator",
journal = j-CACM,
volume = "13",
number = "1",
pages = "57--57",
month = jan,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Washington State Univ. Pullman, WA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "random number generation",
}
@Article{Prasad:1970:PDA,
author = "Ram D. Prasad",
title = "Probability Distributions of Algebraic Functions of
Independent Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "18",
number = "3",
pages = "614--626",
month = may,
year = "1970",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Rader:1970:FMG,
author = "C. M. Rader and L. R. Rabiner and R. W. Schafer",
title = "A Fast Method of Generating Digital Random Numbers",
journal = j-BELL-SYST-TECH-J,
volume = "49",
number = "9",
pages = "2303--2310",
month = nov,
year = "1970",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1970/BSTJ.1970.4909.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol49/bstj49-9-2303.pdf",
abstract = "In this article we propose a fast, efficient technique
for generating a pseudorandom stream of
uniformly-distributed numbers. The arithmetic
operations required are an $L$-bit exclusive-{\em or},
a rotation, and a shift to update the state of the
number generator. With moderately large values of $L$
we have been able to generate sequences of numbers
whose periods are quite long (on the order of $ 2
\times 10^7 $ long). Its simplicity of construction, as
well as its ability to generate long streams of
independent pseudorandom uniformly-distributed integers
makes this noise generator a worthy candidate for use
in high-speed digital systems.",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
remark = "From the paper: ``the maximum period of any random
number generator using only flip-flops and
exclusive-{\em or} elements \ldots{} is in general $
(2^{2 L} - 1) $. \ldots{} There exist unreasonable
starting states, \ldots{}, which have much shorter
periods than those described, but these can be avoid in
all cases by restricting the starting values to $0$ and
$1$. \ldots{} For ($ L = $ ) 25 bits, the longest
period results, and is 17,825,775. However, since $
2^{25} $ is about $ 3.3 \times 10^7 $, not all the
possible 25-bit numbers appear at the output of the
generator.''",
}
@Article{Reader:1970:RDM,
author = "A. V. Reader",
title = "Random digits by a mincing process",
journal = j-COMP-J,
volume = "13",
number = "1",
pages = "118--118",
month = feb,
year = "1970",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/13.1.118",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:44 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/13/1.toc;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_01/",
URL = "http://comjnl.oxfordjournals.org/content/13/1/118.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_01/130118.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_01/tiff/118.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Univ. Manchester, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "random number generation",
}
@Article{Schaffer:1970:AAG,
author = "H. E. Schaffer",
title = "{ACM Algorithm 369}: Generator of Random Numbers
Satisfying the {Poisson} Distribution",
journal = j-CACM,
volume = "13",
number = "1",
pages = "49--49",
month = jan,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "North Carolina State Univ., Raleigh, NC, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "random number generation; subroutines",
}
@Article{Schmidt:1970:QMR,
author = "H. Schmidt",
title = "Quantum-Mechanical Random-Number Generator",
journal = j-J-APPL-PHYS,
volume = "41",
number = "2",
pages = "462--468",
day = "1",
month = feb,
year = "1970",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1658698",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
bibdate = "Mon Feb 20 15:46:54 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Physics",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4915369",
keywords = "true random numbers from physical sources",
}
@Article{Schnorr:1970:DEZa,
author = "Claus-Peter Schnorr",
title = "{{\"U}ber die Definition von effektiven Zufallstests.
Teil I}. ({German}) [{On} the definition of effective
random tests. {Part I}]",
journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB,
volume = "15",
number = "4",
pages = "297--312",
month = "????",
year = "1970",
CODEN = "ZWVGAA",
DOI = "https://doi.org/10.1007/BF00533301",
ISSN = "0044-3719",
ISSN-L = "0044-3719",
MRclass = "60.02",
MRnumber = "0288794 (44 \#5990a)",
bibdate = "Sat Apr 26 19:23:38 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib",
URL = "http://link.springer.com/article/10.1007/BF00533301",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und
verwandte Gebiete",
journal-URL = "http://link.springer.com/journal/440",
language = "German",
}
@Article{Schnorr:1970:DEZb,
author = "Claus-Peter Schnorr",
title = "{{\"U}ber die Definition von effektiven Zufallstests.
Teil II}. ({German}) [{On} the definition of effective
random tests. {Part II}]",
journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB,
volume = "15",
number = "4",
pages = "313--328",
month = "????",
year = "1970",
CODEN = "ZWVGAA",
DOI = "https://doi.org/10.1007/BF00533302",
ISSN = "0044-3719",
ISSN-L = "0044-3719",
MRclass = "60.02",
MRnumber = "0288794 (44 \#5990a)",
bibdate = "Sat Apr 26 19:23:38 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib",
URL = "http://link.springer.com/article/10.1007/BF00533302",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und
verwandte Gebiete",
journal-URL = "http://link.springer.com/journal/440",
language = "German",
}
@Manual{Smith:1970:RN,
author = "Robert E. (Robert Elijah) Smith",
title = "Random numbers",
organization = "Control Data Corp.",
address = "Minneapolis, MN, USA",
pages = "82",
year = "1970",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Computer explorer series in FORTRAN and BASIC",
acknowledgement = ack-nhfb,
keywords = "Computer science --- Mathematics.; Number concept.;
Programming languages (Electronic computers)",
}
@Article{Springer:1970:DPB,
author = "M. D. Springer and W. E. Thompson",
title = "The Distribution of Products of Beta, Gamma and
{Gaussian} Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "18",
number = "4",
pages = "721--737",
month = jun,
year = "1970",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Stoneham:1970:NCM,
author = "R. G. Stoneham",
title = "On a New Class of Multiplicative Pseudo-Random Number
Generators",
journal = j-BIT,
volume = "10",
number = "4",
pages = "481--500",
month = dec,
year = "1970",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01935568",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:11 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=10&issue=4;
https://www.math.utah.edu/pub/tex/bib/bit.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=10&issue=4&spage=481",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Subrahmaniam:1970:SAM,
author = "K. Subrahmaniam",
title = "On Some Applications of {Mellin} Transforms to
Statistics: Dependent Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "19",
number = "4",
pages = "658--662",
month = dec,
year = "1970",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Vincent:1970:CGT,
author = "C. H. Vincent",
title = "Corrigendum: {The Generation of Truly Random Binary
Numbers}",
journal = j-J-PHYS-E,
volume = "3",
number = "10",
pages = "832--832",
month = oct,
year = "1970",
CODEN = "JPSIAE",
DOI = "https://doi.org/10.1088/0022-3735/3/10/528",
ISSN = "0022-3735",
bibdate = "Sat Nov 29 15:15:40 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Vincent:1970:GTR}.",
URL = "http://iopscience.iop.org/0022-3735/3/10/528/",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. E: Scientific instruments",
journal-URL = "http://iopscience.iop.org/0022-3735/",
}
@Article{Vincent:1970:GTR,
author = "C. H. Vincent",
title = "The Generation of Truly Random Binary Numbers",
journal = j-J-PHYS-E,
volume = "3",
number = "8",
pages = "594--598",
month = aug,
year = "1970",
CODEN = "JPSIAE",
DOI = "https://doi.org/10.1088/0022-3735/3/8/303",
ISSN = "0022-3735",
bibdate = "Sat Nov 29 13:56:04 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See corrigendum \cite{Vincent:1970:CGT}.",
URL = "http://iopscience.iop.org/0022-3735/3/8/303",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. E: Scientific instruments",
journal-URL = "http://iopscience.iop.org/0022-3735/",
keywords = "true random numbers from physical sources",
}
@Article{White:1970:FDC,
author = "R. C. {White, Jr.}",
title = "A Fast Digital Computer Method for Recursive
Estimation of the Mean",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-19",
number = "9",
pages = "847--850",
month = sep,
year = "1970",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1970.223053",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 08:01:36 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See comments \cite{Majithia:1972:CFD}.",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671646",
abstract = "An improvement in a method for recursive estimation of
the mean of a random variable is suggested. The
proposed algorithm is faster than conventional `ideal'
averaging and only slightly less efficient, i.e., the
estimate variance is only slightly larger for the same
sample size.",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Zaremba:1970:DII,
author = "S. K. Zaremba",
title = "La discr{\'e}pance isotrope et l'int{\'e}gration
num{\'e}rique. ({French}) [{Isotropic} discrepancy and
numerical integration]",
journal = j-ANN-MAT-PURA-APPL-4,
volume = "87",
number = "??",
pages = "125--136",
month = "????",
year = "1970",
CODEN = "ANLMAE",
ISSN = "0373-3114 (print), 1618-1891 (electronic)",
bibdate = "Thu Jan 19 08:40:01 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annali di matematica pura ed applicata. Series 4",
language = "French",
}
@Article{Ashford:1971:BRG,
author = "J. R. Ashford",
title = "Book Reviews: {{\em The Generation of Random
Variates}}, by {T. G. Newman} and {P. L. Odell}",
journal = j-APPL-STAT,
volume = "20",
number = "3",
pages = "325--325",
year = "1971",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:20:12 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@TechReport{Berman:1971:GGD,
author = "M. B. Berman",
title = "Generating Gamma Distributed Variates for Computer
Simulation Models",
type = "Report",
number = "??",
institution = "RAND Corporation",
address = "Santa Monica, CA, USA",
pages = "??",
year = "1971",
bibdate = "Tue Nov 29 06:55:32 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Beyer:1971:LSM,
author = "W. A. Beyer and R. B. Roof and Dorothy Williamson",
title = "The Lattice Structure of Multiplicative Congruential
Pseudo-Random Vectors",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "345--363",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See corrigenda \cite{Beyer:1996:CLS}.",
URL = "http://www.jstor.org/stable/pdfplus/2004931.pdf",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "This article, and \cite{Marsaglia:1972:SLC}, are
believed to be the first reports of the lattice tests
for randomness.",
}
@Article{Brown:1971:LRA,
author = "J. L. {Brown, Jr.} and R. L. Duncan",
title = "The Least Remainder Algorithm",
journal = j-FIB-QUART,
volume = "9",
number = "4",
pages = "347--350",
month = oct,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:39 MDT 2011",
bibsource = "http://www.fq.math.ca/9-4.html;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.fq.math.ca/Scanned/9-4/brown-a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "Fibonacci Quarterly",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Chen:1971:RNN,
author = "Edwin H. Chen",
title = "A random normal number generator for 32-bit-word
computers",
journal = j-J-AM-STAT-ASSOC,
volume = "66",
number = "334",
pages = "400--403",
month = jun,
year = "1971",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Thu Dec 22 07:42:23 2011",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1971.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2283944",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7123",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
location = "SEL: Wi",
revision = "16/01/94",
}
@Article{Cohn:1971:PRB,
author = "Charles Erwin Cohn",
title = "The performance of random-bit generators",
journal = j-SIMULATION,
volume = "17",
number = "6",
pages = "234--236",
month = dec,
year = "1971",
CODEN = "SIMUA2",
DOI = "https://doi.org/10.1177/003754977101700604",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Wed Jan 11 11:59:19 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/17/6/234.full.pdf+html",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
remark = "Discusses three physical-device random bit generators
and shows that all have significant bias.",
}
@Article{Craddock:1971:TRM,
author = "J. M. Craddock and Sheila A. Farmer",
title = "Two Robust Methods of Random Number Generation",
journal = j-J-R-STAT-SOC-SER-D-STATISTICIAN,
volume = "20",
number = "3",
pages = "55--66",
month = sep,
year = "1971",
CODEN = "????",
ISSN = "0039-0526 (print), 1467-9884 (electronic)",
ISSN-L = "0039-0526",
bibdate = "Wed Dec 21 09:52:10 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2986798",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series D
(The Statistician)",
journal-URL = "http://www.jstor.org/journals/00390526.html",
}
@Article{Davies:1971:PWO,
author = "A. C. Davies",
title = "Properties of Waveforms Obtained by Nonrecursive
Digital Filtering of Pseudorandom Binary Sequences",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-20",
number = "3",
pages = "270--281",
month = mar,
year = "1971",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1971.223231",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 06:38:13 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1671824",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Dieter:1971:EDS,
author = "Ulrich Dieter and J. Ahrens",
title = "An exact determination of serial correlations of
pseudo-random numbers",
journal = j-NUM-MATH,
volume = "17",
number = "2",
pages = "101--123",
month = apr,
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1971.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "Univ. Karlsruhe, West Germany",
country = "D",
date = "00/00/00",
descriptors = "RNG; correlation",
enum = "777",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "linear congruential methods; random number generation;
serial correlations",
location = "PKI-OG: Li-Ord.Le",
references = "0",
revision = "21/04/91",
treatment = "T Theoretical or Mathematical",
}
@Article{Dieter:1971:PRN,
author = "Ulrich Dieter",
title = "Pseudo-Random Numbers: The Exact Distribution of
Pairs",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "855--883",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Donn:1971:MDP,
author = "E. S. Donn",
title = "Manipulating digital patterns with a new binary
sequence generator",
journal = j-HEWLETT-PACKARD-J,
volume = "22",
number = "8",
pages = "2--8",
month = apr,
year = "1971",
CODEN = "HPJOAX",
ISSN = "0018-1153",
bibdate = "Tue Mar 25 14:12:15 MST 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "B7250E (Signal generators)",
fjournal = "Hewlett-Packard Journal: technical information from
the laboratories of Hewlett-Packard Company",
keywords = "digital instrumentation; digital pattern manipulation;
pseudorandom binary sequence generator; sequence
generating; shift register",
treatment = "N New Development",
}
@InProceedings{Dyadkin:1971:ANA,
author = "I. G. Dyadkin",
booktitle = "{Monte Carlo} methods and applications ({Metody
Monte-Karlo i ikh primeneniya USSR Academy of Sciences,
Siberian Branch. Computing Center (VTs SO AN SSSR).
Novosibirsk, 30 August--3 September 1971
(Vychislitelnyi Tsentr, Sibirskoye Otdelenie. Akademiia
Nauk. SSSR)})",
title = "An analogue of {von Neumann}'s algorithm for
simulating a normal distribution",
publisher = "Akademiia Nauk SSSR",
address = "Novosibirsk, USSR",
pages = "53--54",
year = "1971",
bibdate = "Mon Feb 27 09:50:56 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
}
@Article{Friedman:1971:REG,
author = "Jerome H. Friedman",
title = "Random event generation with preferred frequency
distributions",
journal = j-J-COMPUT-PHYS,
volume = "7",
number = "2",
pages = "201--218",
month = apr,
year = "1971",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(71)90085-4",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:03 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999171900854",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Book{Gibbons:1971:NSI,
author = "Jean Dickinson Gibbons",
title = "Nonparametric Statistical Inference",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xiv + 306",
year = "1971",
ISBN = "0-07-085250-2, 0-07-023166-4",
ISBN-13 = "978-0-07-085250-1, 978-0-07-023166-5",
LCCN = "QA278.8 .G5",
bibdate = "Tue Jan 31 14:57:32 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "McGraw-Hill series in probability and statistics",
acknowledgement = ack-nhfb,
}
@InProceedings{Good:1971:SRS,
author = "I. J. Good and R. A. Gaskins",
editor = "A. O. L. (Arthur O. L.) Atkin and B. J. (Bryan John)
Birch",
booktitle = "{Computers in number theory: proceedings of the
Science Research Council Atlas Symposium no. 2 held at
Oxford, from 18--23 August, 1969}",
title = "Some relationships satisfied by additive and
multiplicative congruential sequences, with
implications for pseudorandom number generation",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xvii + 433",
pages = "125--136",
year = "1971",
ISBN = "0-12-065750-3",
ISBN-13 = "978-0-12-065750-6",
LCCN = "QA241 .S35 1969",
bibdate = "Sat Jan 07 08:00:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
meetingname = "Science Research Council Atlas Symposium, 2d, Oxford,
1969.",
subject = "Number theory; Data processing; Congresses",
}
@Article{Han:1971:DRV,
author = "Chien-Pai Han",
title = "Dependence of Random Variables",
journal = j-AMER-STAT,
volume = "25",
number = "4",
pages = "35--35",
month = oct,
year = "1971",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:19 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326371;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2682925",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Jackson:1971:PCC,
author = "P. A. Jackson",
title = "{PRBS} cross-correlation measurements by hybrid
computational techniques",
journal = j-COMP-J,
volume = "14",
number = "1",
pages = "49--54",
month = feb,
year = "1971",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 29 08:51:51 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compj1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/140049.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/tiff/49.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/tiff/50.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/tiff/51.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/tiff/52.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/tiff/53.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_01/tiff/54.tif",
acknowledgement = ack-nhfb,
classcodes = "C1220 (Simulation, modelling and identification);
C5460 (Analogue and hybrid computing techniques)",
corpsource = "Lanchester Coll. Technol., Coventry, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "binary sequences; correlation methods; cross
correlation; dynamics identification; hybrid
computational techniques; hybrid computer;
identification; methods; pseudorandom binary sequence;
system",
treatment = "T Theoretical or Mathematical",
}
@Article{Kozlov:1971:DRN,
author = "G. A. Kozlov",
title = "On the Distribution of Random Numbers Produced by
Sequential Physical Generators",
journal = j-THEORY-PROBAB-APPL,
volume = "16",
number = "2",
pages = "369--378",
month = "????",
year = "1971",
CODEN = "TPRBAU",
DOI = "https://doi.org/10.1137/1116037",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Tue Apr 1 10:36:25 MDT 2014",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/16/2;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
onlinedate = "January 1971",
}
@Article{Marsaglia:1971:RVI,
author = "George Marsaglia",
title = "Random variables with independent binary digits",
journal = j-ANN-MATH-STAT,
volume = "42",
number = "6",
pages = "1922--1929",
month = dec,
year = "1971",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177693058",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "60A05",
MRnumber = "45 \#7764",
MRreviewer = "A. Fuchs",
bibdate = "Fri Jan 6 09:58:57 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
URL = "http://projecteuclid.org/euclid.aoms/1177693058;
http://www.jstor.org/stable/2240118",
ZMnumber = "0239.60015",
abstract = "Let $ X = \cdot b_1 b_2 b_3 \cdots $ be a random
variable with independent binary digits $ b_n $ taking
values 0 or 1 with probability $ p_n $ and $ q_n = 1 -
p_n $. When does $X$ have a density? A continuous
density? A singular distribution? This note gives
necessary and sufficient conditions for the
distribution of $X$ to be: discrete: $ \Sigma \min
(p_n, q_n) < \infty $; singular: $ \Sigma^\infty_m
\lbrack \log (p_n / q_n) \rbrack^2 = \infty $ for every
$m$; absolutely continuous: $ \Sigma^\infty_m \lbrack
\log (p_n / q_n) \rbrack^2 < \infty $ for some $m$.
Furthermore, $X$ has a density that is bounded away
from zero on some interval if and only if $ \log (p_n /
q_n) $ is a geometric sequence with ratio $ \frac
{1}{2} $ for $ n > k $, and in that case the fractional
part of $ 2^k X $ has an exponential density
(increasing or decreasing with the uniform a special
case).",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
ZMclass = "60E05 General theory of probability distributions
60F99 Limit theorems (probability)",
}
@Article{Mitra:1971:PDS,
author = "Samarendra Kumar Mitra",
title = "On the Probability Distribution of the Sum of
Uniformly Distributed Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "20",
number = "2",
pages = "195--198",
month = mar,
year = "1971",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Book{Newman:1971:GRVa,
author = "Thomas G. Newman and Patrick L. Odell",
title = "The generation of random variates",
volume = "29",
publisher = "Charles Griffin \& Co. Ltd.",
address = "London, UK",
pages = "viii + 88",
year = "1971",
ISBN = "0-85264-194-X",
ISBN-13 = "978-0-85264-194-1",
LCCN = "QA276.5 N55",
bibdate = "Thu Jan 19 07:23:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Griffin's Statistical Monographs and Courses",
acknowledgement = ack-nhfb,
}
@Book{Newman:1971:GRVb,
author = "Thomas G. Newman and Patrick L. Odell",
title = "The generation of random variates",
publisher = "Hafner",
address = "New York, NY, USA",
pages = "88 (est.)",
year = "1971",
ISBN = "????",
ISBN-13 = "????",
LCCN = "QA276.5 N55",
bibdate = "Thu Jan 19 07:23:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Payne:1971:CDS,
author = "W. H. Payne and T. G. Lewis",
title = "Continuous distribution sampling: accuracy and speed",
crossref = "Rice:1971:MS",
pages = "??--??",
year = "1971",
bibdate = "Mon Jan 16 22:01:09 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Book{Philipp:1971:MSR,
author = "Walter Philipp",
title = "Mixing sequences of random variables and probablistic
number theory",
volume = "114",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "i + 102",
year = "1971",
LCCN = "????",
MRclass = "10K10 (10KXX 60F05 60F15)",
MRnumber = "0437481 (55 \#10411)",
MRreviewer = "J. Galambos",
bibdate = "Thu Jan 19 08:03:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Memoirs of the American Mathematical Society",
acknowledgement = ack-nhfb,
}
@InProceedings{Phillips:1971:PGG,
author = "Don T. Phillips and Charles Beightler",
booktitle = "Proceedings of the 5th Conference on Winter Simulation
--- {WSC '71}",
title = "Procedures for generating gamma variates with
non-integer parameter sets",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "421--427",
year = "1971",
DOI = "https://doi.org/10.1145/800294.811468",
bibdate = "Tue Nov 29 08:26:27 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Rizzi:1971:MGS,
author = "Alfredo Rizzi",
title = "On a method for generating sequences of binary pseudo
random numbers",
journal = j-METRON,
volume = "29",
number = "??",
pages = "61--70",
month = "????",
year = "1971",
CODEN = "MRONAM",
ISSN = "0026-1424 (print), 2281-695X (electronic)",
ISSN-L = "0026-1424",
MRclass = "65C10",
bibdate = "Sun Jul 5 08:55:46 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/metron1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0233.65004",
acknowledgement = ack-nhfb,
xxyear = "1972",
ZMnumber = "03369649",
}
@Article{Schnorr:1971:UAD,
author = "Claus-Peter Schnorr",
title = "A unified approach to the definition of random
sequences",
journal = j-THEORY-COMPUT-SYST,
volume = "5",
number = "3",
pages = "246--258",
month = sep,
year = "1971",
CODEN = "TCSYFI",
DOI = "https://doi.org/10.1007/BF01694181",
ISSN = "1432-4350 (print), 1433-0490 (electronic)",
bibdate = "Tue Jan 17 10:27:01 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/content/u08164t2503054rk/",
acknowledgement = ack-nhfb,
fjournal = "Theory of Computing Systems",
}
@Book{Schnorr:1971:ZWA,
author = "Claus Peter Schnorr",
title = "{Zuf{\"a}lligkeit} und Wahrscheinlichkeit: Eine
algorithmische {Begr{\"u}ndung} der
Wahrscheinlichkeitstheorie. ({German}) [{Randomness}
and probability. {An} algorithmic foundation of
probability theory]",
volume = "218",
publisher = pub-SV,
address = pub-SV:adr,
pages = "iv + 212",
year = "1971",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0112458",
ISBN = "3-540-05566-5 (print), 3-540-36883-3 (e-book)",
ISBN-13 = "978-3-540-05566-2 (print), 978-3-540-36883-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Tue May 6 14:51:37 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0112458;
http://www.springerlink.com/content/978-3-540-36883-0",
acknowledgement = ack-nhfb,
language = "German",
series-URL = "http://link.springer.com/bookseries/304",
}
@Article{Smith:1971:MPR,
author = "C. S. Smith",
title = "Multiplicative Pseudo-Random Number Generators with
Prime Modulus",
journal = j-J-ACM,
volume = "18",
number = "4",
pages = "586--593",
month = oct,
year = "1971",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321662.321673",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Sun Nov 6 12:03:57 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@TechReport{Strawderman:1971:GTP,
author = "W. E. Strawderman",
title = "Generation and testing of pseudo-random numbers",
type = "Technical Report",
number = "171",
institution = "Department of Statistics, Stanford University",
address = "Stanford, CA, USA",
month = "????",
year = "1971",
bibdate = "Wed Nov 12 09:41:24 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Book{Stroud:1971:ACM,
author = "A. H. Stroud",
title = "Approximate calculation of multiple integrals",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xiii + 431",
year = "1971",
ISBN = "0-13-043893-6",
ISBN-13 = "978-0-13-043893-5",
LCCN = "QA311 .S85",
bibdate = "Mon Jan 16 11:19:32 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Prentice-Hall series in automatic computation",
acknowledgement = ack-nhfb,
subject = "multiple integrals; approximation theory; Monte Carlo
quadrature",
}
@Article{Tootill:1971:RPT,
author = "J. P. R. Tootill and W. D. Robinson and A. G. Adams",
title = "The Runs Up-and-Down Performance of {Tausworthe}
Pseudo-Random Number Generators",
journal = j-J-ACM,
volume = "18",
number = "3",
pages = "381--399",
month = jul,
year = "1971",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321650.321657",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Dec 22 07:42:23 2011",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1971.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Any Tausworthe generator based upon a primitive
trinomial over $ g f(2), x^p + x^q + 1 $, can be
represented as a simple linear recurrence in $ g f(2^p)
$. For a generator producing a sequence of $p$-bit
pseudorandom numbers, $ (p, 2^p - 1) = 1 $, which is
guaranteed by Tausworthe's theory to be 1-distributed,
the recurrence may reveal combinatorial relationships
implying a poor runs up-and-down performance. This
occurs when $q$ is small, too near $ p / 2 $, or nearly
\ldots{}",
descriptors = "Tausworthe generator; shift register sequences; rng;
test; runtime/storage efficiency",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Vincent:1971:PAG,
author = "C. H. Vincent",
title = "Precautions for accuracy in the generation of truly
random binary numbers",
journal = j-J-PHYS-E,
volume = "4",
number = "11",
pages = "825--828",
month = "????",
year = "1971",
CODEN = "JPSIAE",
DOI = "https://doi.org/10.1088/0022-3735/4/11/007",
ISSN = "0022-3735",
bibdate = "Thu Feb 02 17:58:43 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See corrigendum \cite{Vincent:1972:CPA}.",
URL = "http://iopscience.iop.org/0022-3735/4/11/007",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. E: Scientific instruments",
journal-URL = "http://iopscience.iop.org/0022-3735/",
keywords = "true random numbers from physical sources",
}
@Article{Voroncov:1971:UQS,
author = "Ju. V. Voroncov and Ju. G. Polljak",
title = "On the use of quasirandom sequences in the direct
probabilistic simulation of systems",
journal = "Avtomat. i Vy\v cisl. Tehn.",
volume = "6",
number = "??",
pages = "23--27",
month = "????",
year = "1971",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 19 08:29:53 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Avt. i Vy{\v{c}}isl. Tehn.",
fjournal = "Akademija Nauk Latvi\u\i sko\u\i\ SSR. Avtomatika i
Vy\v cislitel\cprime naja Tehnika",
language = "Russian",
}
@Article{Zinger:1971:LLC,
author = "A. A. Zinger",
title = "Limit laws for cumulative sums of independent random
variables with a finite number of distribution types",
journal = j-THEORY-PROBAB-APPL,
volume = "16",
number = "??",
pages = "596--619",
month = "????",
year = "1971",
CODEN = "TPRBAU",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Mon Dec 07 17:39:39 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
note = "Original Russian article in {\em Teor. Veroyatnost. i
Primenen.}, {\bf 16}, (1971), pp. 614--637.",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
}
@Article{Ahrens:1972:CMS,
author = "Joachim H. Ahrens and Ulrich Dieter",
title = "Computer Methods for Sampling from the Exponential and
Normal Distributions",
journal = j-CACM,
volume = "15",
number = "10",
pages = "873--882",
month = oct,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65C10",
MRnumber = "49 1728",
MRreviewer = "V. Dupac",
bibdate = "Mon Jan 22 06:20:51 MST 2001",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1972.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#AhrensD72;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Various methods are known for transforming uniformly
distributed random numbers into exponentially and
normally distributed quantities. The most efficient
ones are compared, in terms of memory requirements and
speed, with some new algorithms. A number of procedures
convert Taylor series expansions directly into sampling
steps, an approach which may be used for sampling from
any continuous distribution. For the exponential
distribution a definite recommendation can be made,
whereas in the case of the normal distribution there
remains a choice between slower and shorter algorithms
and faster but space consuming methods.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "913; 922",
corpsource = "Nova Scotia Tech. Coll., Halifax, NS, Canada",
country = "USA",
descriptors = "RVG",
enum = "6926",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "computer aided sampling; computer methods; distributed
random numbers; distributions; exponential; normal
distributions; random number generation; sampled data
systems; sampling; sampling steps; uniformly",
oldlabel = "AhrensD72",
references = "0",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/AhrensD72",
}
@Article{Alam:1972:AVM,
author = "Khursheed Alam",
title = "Asymptotic Value of the Mean of a Function of a Normal
Random Variable",
journal = j-SIAM-J-APPL-MATH,
volume = "23",
number = "4",
pages = "495--498",
month = dec,
year = "1972",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Barr:1972:CMN,
author = "Donald R. Barr and Norman L. Sezak",
title = "A Comparison of Multivariate Normal Generators",
journal = j-CACM,
volume = "15",
number = "12",
pages = "1048--1049",
month = dec,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:23:32 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#BarrS72;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Naval Postgraduate School, Monterey, CA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "comparison; covariance matrix; Gaussian random number
generator; multivariate; multivariate normal
generators; normal random vectors; random number
generation; simulation; triangular factorization",
oldlabel = "BarrS72",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/BarrS72",
}
@Article{Basu:1972:ITF,
author = "A. K. Basu",
title = "Invariance theorems for first passage time random
variables",
journal = j-CAN-MATH-BULL,
volume = "15",
number = "??",
pages = "171--176",
month = "????",
year = "1972",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1972-031-9",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:00 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v15/;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Behboodian:1972:CNS,
author = "Javad Behboodian",
title = "Classroom Notes: a Simple Example on Some Properties
of Normal Random Variables",
journal = j-AMER-MATH-MONTHLY,
volume = "79",
number = "6",
pages = "632--634",
month = jun # "\slash " # jul,
year = "1972",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:47 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@InProceedings{Beyer:1972:LSR,
author = "W. A. Beyer",
title = "Lattice structure and reduced bases of random vectors
generated by linear recurrences",
crossref = "Zaremba:1972:ANT",
pages = "361--370",
year = "1972",
bibdate = "Tue Jan 10 15:36:07 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Broemeling:1972:BPD,
author = "L. D. Broemeling",
title = "{Bayesian} procedures for detecting a change in a
sequence of random variables",
journal = j-METRON,
volume = "30",
number = "??",
pages = "214--227",
month = "????",
year = "1972",
CODEN = "MRONAM",
ISSN = "0026-1424 (print), 2281-695X (electronic)",
ISSN-L = "0026-1424",
MRclass = "62F15 62C10 62F03",
bibdate = "Sun Jul 5 08:55:46 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/tex/bib/metron1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0303.62029",
acknowledgement = ack-nhfb,
xxyear = "1973",
ZMnumber = "03474769",
}
@Article{Cenacchi:1972:QRS,
author = "G. Cenacchi and A. {De Matteis}",
title = "Quasi-random sequences by power residues",
journal = j-NUM-MATH,
volume = "20",
number = "1",
pages = "54--63",
month = feb,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 01:28:20 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Chang:1972:FSD,
author = "R. W. Chang and E. Y. Ho",
title = "On Fast Start-Up Data Communication Systems Using
Pseudo-Random Training Sequences",
journal = j-BELL-SYST-TECH-J,
volume = "51",
number = "9",
pages = "2013--2027",
month = nov,
year = "1972",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1972/BSTJ.1972.5109.html;
http://www.alcatel-lucent.com/bstj/vol51-1972/bstj-vol51-issue09.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol51/bstj51-9-2013.pdf;
http://www.alcatel-lucent.com/bstj/vol51-1972/articles/bstj51-9-2013.pdf",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@InCollection{Dieter:1972:SIP,
author = "U. Dieter",
title = "Statistical interdependence of pseudo-random numbers
generated by the linear congruential method",
crossref = "Zaremba:1972:ANT",
pages = "287--317",
year = "1972",
MRnumber = "MR 353622",
bibdate = "Thu Jan 19 06:38:32 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Elias:1972:ECU,
author = "P. Elias",
title = "The efficient construction of an unbiased random
sequence",
journal = j-ANN-MATH-STAT,
volume = "43",
number = "3",
pages = "865--870",
month = jun,
year = "1972",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
bibdate = "Tue Jan 31 15:45:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2240383",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Ermakov:1972:NPSa,
author = "S. M. Ermakov",
title = "Note on pseudorandom sequences",
journal = "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.",
volume = "12",
number = "??",
pages = "??--??",
month = "????",
year = "1972",
ISSN = "1077-1082",
bibdate = "Thu Jan 19 06:40:29 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0294.65003",
acknowledgement = ack-nhfb,
language = "Russian",
}
@Article{Ermakov:1972:NPSb,
author = "S. M. Ermakov",
title = "Note on pseudorandom sequences",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "12",
number = "4",
pages = "307--314",
month = "????",
year = "1972",
CODEN = "CMMPA9",
DOI = "https://doi.org/10.1016/0041-5553(72)90136-X",
ISSN = "0041-5553, 0502-9902",
ISSN-L = "0041-5553",
MRnumber = "MR 329191",
bibdate = "Thu Jan 19 06:42:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/004155537290136X",
abstract = "A sequence $ x_{n + 1} = \{ M x_n \} $, $ x_0 (0, 1) $
is considered, where $ \{ a \} $ denotes the fractional
part of the number $a$ and $ M > 1 $ is a natural
number. It is shown that when this sequence is used as
a pseudorandom sequence in calculations by the
Monte-Carlo method, the central limit theorem holds for
a fairly wide class of the functions integrated.",
acknowledgement = ack-nhfb,
fjournal = "U.S.S.R. Computational Mathematics and Mathematical
Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00415553",
}
@TechReport{Everett:1972:MCS,
author = "C. J. Everett and E. D. Cashwell",
title = "A {Monte Carlo} Sampler",
type = "Informal Report",
number = "LA-5061-MS",
institution = inst-LASL,
address = inst-LASL:adr,
year = "1972",
bibdate = "Mon Jan 16 10:57:49 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Falk:1972:EDT,
author = "H. Falk",
title = "Entropy Decomposition and Transfer-Matrix Problems",
journal = j-J-MATH-PHYS,
volume = "13",
number = "5",
pages = "608--609",
month = may,
year = "1972",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1666023",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:39:49 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v13/i5/p608_s1",
acknowledgement = ack-nhfb,
classification = "A0520 (Statistical mechanics)",
corpsource = "City Univ., NY, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "discrete random variables; entropy; entropy
decomposition; Markovian decomposition; short range
interactions; transfer matrix problems",
onlinedate = "31 October 2003",
pagecount = "2",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Forsythe:1972:NCMa,
author = "George E. Forsythe",
title = "{Von Neumann}'s comparison method for random sampling
from the normal and other distributions",
type = "Technical Report",
number = "CS-TR-72-254",
institution = inst-STAN-CS,
address = inst-STAN-CS:adr,
pages = "21",
month = jan,
year = "1972",
bibdate = "Mon Jun 06 19:17:03 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Techreports/NCSTRL/STAN.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Techreports/STAN.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Techreports/Stanford.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The author presents a generalization he worked out in
1950 of von Neumann's method of generating random
samples from the exponential distribution by
comparisons of uniform random numbers on (0,1). It is
shown how to generate samples from any distribution
whose probability density function is piecewise both
absolutely continuous and monotonic on $ ( - \infty,
\infty) $. A special case delivers normal deviates at
an average cost of only 4.036 uniform deviates each.
This seems more efficient than the Center-Tail method
of Dieter and Ahrens, which uses a related, but
different, method of generalizing the von Neumann idea
to the normal distribution.",
acknowledgement = ack-nhfb,
notes = "[Adminitrivia V1/Prg/19951016]",
}
@Article{Forsythe:1972:NCMb,
author = "George E. Forsythe",
title = "{Von Neumann}'s comparison method for random sampling
from the normal and other distributions",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "817--826",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65C10",
MRnumber = "MR0315863 (47 \#4412)",
MRreviewer = "R. R. Coveyou",
bibdate = "Tue Nov 22 09:08:17 MST 2005",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1972.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Distributed/QLD/1972.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/mathcomp.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/MATHCOMP/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
ZMnumber = "0283.65003",
acknowledgement = ack-nhfb,
by-date = "Wi",
by-rev = "Le",
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics)",
classmath = "*65C10 Random number generation 62D05 Statistical
sampling theory",
corpsource = "Stanford Univ., CA, USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7276",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "distribution; normal; random sampling; sampled data
systems; statistics; Von Neumann's comparison method",
language = "English",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
treatment = "T Theoretical or Mathematical",
}
@Article{Frazer:1972:BOM,
author = "W. D. Frazer and B. T. Bennett",
title = "Bounds on Optimal Merge Performance, and a Strategy
for Optimality",
journal = j-J-ACM,
volume = "19",
number = "4",
pages = "641--648",
month = oct,
year = "1972",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321724.321729",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The length of a sorted sequence produced by the
internal sort phase of a large scale general purpose
sort routine is a random variable. In a random access
environment, any given set of such sequences can be
merged in an optimal way, and in practice this often
done. the expected work per item required by an optimal
merge depends upon the probability distribution for
sequence length, and it is this dependence which is
studied. Reasonable sharp upper and lower bounds are
derived. The distribution which is optimal in the sense
of minimizing the lower bound on any bounded interval
is determined, and it is shown that this is the
strongest result of its kind.",
acknowledgement = ack-nhfb,
classification = "723",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "computer systems programming; data storage, digital
--- Random Access",
}
@Article{Garside:1972:BRBa,
author = "M. J. Garside",
title = "Book Review: {{\booktitle{The Generation of Random
Variates}}, by T. G. Newman; P. L. Odell}",
journal = j-J-R-STAT-SOC-SER-D-STATISTICIAN,
volume = "21",
number = "2",
pages = "143--143",
month = jun,
year = "1972",
CODEN = "????",
DOI = "https://doi.org/10.2307/2987327",
ISSN = "0039-0526 (print), 1467-9884 (electronic)",
ISSN-L = "0039-0526",
bibdate = "Thu Jan 22 18:10:20 MST 2015",
bibsource = "http://www.jstor.org/stable/i349925;
https://www.math.utah.edu/pub/tex/bib/jrss-d-1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2987327",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series D
(The Statistician)",
journal-URL = "http://www.jstor.org/journals/00390526.html",
}
@Article{Heathcote:1972:TGF,
author = "C. E. Heathcote",
title = "A Test of Goodness of Fit for Symmetric Random
Variables",
journal = j-AUST-J-STAT,
volume = "14",
number = "2",
pages = "172--181",
month = aug,
year = "1972",
CODEN = "AUJSA3",
DOI = "https://doi.org/10.1111/j.1467-842X.1972.tb00355.x",
ISSN = "0004-9581",
ISSN-L = "0004-9581",
bibdate = "Fri Jul 15 14:28:03 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anzjs.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Australian Journal of Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-842X/issues",
}
@Article{Hurst:1972:AAG,
author = "Rex L. Hurst and Robert E. Knop",
title = "{ACM Algorithm 425}: Generation of Random Correlated
Normal Variables [{G5}]",
journal = j-CACM,
volume = "15",
number = "5",
pages = "355--357",
month = may,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:51:29 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#HurstK72;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See remark \cite{Page:1974:RAG}.",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Utah State Univ., Logan, UT, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "algorithms; FORTRAN subroutine; generation;
multivariate normal density; random correlated normal
variables; statistics; subroutines; timing",
oldlabel = "HurstK72",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/HurstK72",
}
@Article{Kirschenmann:1972:CR,
author = "P. Kirschenmann",
title = "Concepts of randomness",
journal = j-J-PHILOS-LOGIC,
volume = "1",
number = "??",
pages = "395--414",
month = "????",
year = "1972",
CODEN = "JPLGA7",
ISSN = "0022-3611 (print), 1573-0433 (electronic)",
ISSN-L = "0022-3611",
MRnumber = "MR 426081",
bibdate = "Mon Jan 16 21:58:56 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Philosophical Logic",
}
@Article{Kral:1972:ENA,
author = "J. Kr{\'a}l",
title = "Erratum: {``A new additive pseudorandom number
generator for extremely short word-length''}",
journal = j-INFO-PROC-LETT,
volume = "1",
number = "5",
pages = "216--216",
month = oct,
year = "1972",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Kral:1972:NAP}.",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Kral:1972:NAP,
author = "J. Kr{\'a}l",
title = "A new additive pseudorandom number generator for
extremely short word-length",
journal = j-INFO-PROC-LETT,
volume = "1",
number = "4",
pages = "164--167",
month = jun,
year = "1972",
CODEN = "IFPLAT",
DOI = "https://doi.org/10.1016/0020-0190(72)90051-8",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See erratum \cite{Kral:1972:ENA}.",
abstract = "We study the suitability of the additive
lagged-Fibonacci pseudo-random number generator for
parallel computation. This generator has relatively
short period with respect to the size of its seed.
However, the short period is more than made up for with
the huge number of full-period cycles it contains.
These different full period cycles are called
equivalence classes. We show how to enumerate the
equivalence classes and how to compute seeds to select
a given equivalence class, In addition, we present some
theoretical measures of quality for this generator when
used in parallel. Next, we conjecture on the size of
these measures of quality for this generator. Extensive
empirical evidence supports this conjecture. In
addition, a probabilistic interpretation of these
measures leads to another conjecture similarly
supported by empirical evidence. Finally we give an
explicit parallelization suitable for a fully
reproducible asynchronous MIMD implementation.",
acknowledgement = ack-nhfb,
classification = "C7890 (Other special applications of computing)",
corpsource = "RWTH, Aachen, West Germany",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "additive pseudorandom number generator; CDC FORTRAN
subroutine; extremely short word lengths; mod 2/sup j/
arithmetics; random number generation; shuffling;
subroutines",
treatment = "T Theoretical or Mathematical",
}
@Article{Maddocks:1972:CAG,
author = "R. S. Maddocks and S. Matthews and E. W. Walker and C.
H. Vincent",
title = "A compact and accurate generator for truly random
binary digits",
journal = j-J-PHYS-E,
volume = "5",
number = "??",
pages = "542--544",
month = "????",
year = "1972",
CODEN = "JPSIAE",
ISSN = "0022-3735",
bibdate = "Thu Feb 02 17:34:15 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://iopscience.iop.org/0022-3735/5/6/018",
acknowledgement = ack-nhfb,
fjournal = "Journal of physics. E: Scientific instruments",
journal-URL = "http://iopscience.iop.org/0022-3735/",
keywords = "true random numbers from physical sources",
}
@Article{Majithia:1972:CFD,
author = "J. C. Majithia",
title = "Comments on {``A Fast Digital Computer Method for
Recursive Estimation of the Mean''}",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-21",
number = "5",
pages = "511--512",
month = may,
year = "1972",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1972.223554",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 18:58:43 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{White:1970:FDC}.",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672147",
abstract = "Several algorithms for the computation of the mean
value of a random variable have been analyzed. Results
have shown that the two previously published techniques
and a modified version of one of these, give unbiased
estimates of the mean value. Furthermore, although the
confidence intervals have been found to be increased in
all cases, the actual increase is insignificant, while
the possible speed improvements in computation can be
considerable.",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Marsaglia:1972:CPS,
author = "George Marsaglia",
title = "Choosing a point from the surface of a sphere",
journal = j-ANN-MATH-STAT,
volume = "43",
number = "2",
pages = "645--646",
month = apr,
year = "1972",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177692644",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "65C10",
bibdate = "Thu Jan 19 08:45:34 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177692644;
http://www.jstor.org/stable/2240001",
ZMnumber = "0248.65008",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
ZMclass = "65C10 Random number generation",
}
@InCollection{Marsaglia:1972:SLC,
author = "George Marsaglia",
title = "The Structure of Linear Congruential Sequences",
crossref = "Zaremba:1972:ANT",
pages = "249--285",
year = "1972",
MRclass = "65C05",
MRnumber = "53 \#14854",
MRreviewer = "J. H. Halton",
bibdate = "Mon Aug 02 10:41:44 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0266.65007",
acknowledgement = ack-nhfb,
remark = "This article, and \cite{Beyer:1971:LSM}, are believed
to be the first reports of the lattice tests for
randomness.",
ZMclass = "65C10 Random number generation",
}
@Article{Mason:1972:LTN,
author = "J. David Mason",
title = "Local Theorems for Nonidentically Distributed Lattice
Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "22",
number = "2",
pages = "259--265",
month = mar,
year = "1972",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classification = "A0550 (Lattice theory and statistics; Ising
problems)",
corpsource = "Univ. Georgia, Athens, GA, USA",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
keywords = "lattice theory and statistics; local theorems;
nondegenerate distribution; nonidentically distributed
lattice random variables; random processes",
treatment = "T Theoretical or Mathematical",
}
@Article{Meyer:1972:PCC,
author = "C. H. Meyer and W. L. Tuchman",
title = "Pseudorandom codes can be cracked",
journal = j-ELECTRONIC-DESIGN,
volume = "20",
number = "23",
pages = "74--76",
day = "9",
month = nov,
year = "1972",
CODEN = "ELODAW",
ISSN = "0013-4872 (print), 1944-9550 (electronic)",
ISSN-L = "0013-4872",
bibdate = "Sat Jun 10 12:07:32 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Electronic Design",
}
@InBook{Mihram:1972:SV,
author = "G. Arthur Mihram",
booktitle = "Simulation: Statistical Foundations and Methodology",
title = "The Stochastic Variate",
chapter = "2",
volume = "92",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xv + 526",
pages = "18--146",
month = jun,
year = "1972",
DOI = "https://doi.org/10.1016/S0076-5392(08)61350-8",
ISBN = "0-12-495950-4",
ISBN-13 = "978-0-12-495950-7",
LCCN = "TA343 .M53",
bibdate = "Wed Feb 8 07:02:04 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = j-MATH-SCI-ENG,
URL = "http://www.sciencedirect.com/science/article/pii/S0076539208613508",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Science and Engineering",
}
@Article{Miyatake:1972:GUR,
author = "O. Miyatake",
title = "Generation of uniform random numbers of good quality",
journal = j-MATH-JAPON,
volume = "17",
number = "??",
pages = "79--84",
month = "????",
year = "1972",
CODEN = "MAJAA9",
ISSN = "0025-5513",
MRnumber = "MR 341796",
bibdate = "Thu Jan 19 07:19:49 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Japonica",
}
@Article{Nance:1972:BRN,
author = "R. E. Nance and C. {Overstreet, Jr.}",
title = "A Bibliography on Random Number Generation",
journal = j-COMP-REV,
volume = "13",
number = "??",
pages = "495--508",
month = "????",
year = "1972",
CODEN = "CPGRA6",
ISSN = "0010-4884, 0149-1202",
ISSN-L = "0010-4884",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing Reviews",
}
@TechReport{Nance:1972:IFR,
author = "Richard E. Nance and Claude Overstreet",
title = "Implementation of {Fortran} random number generators
on the {SRU} 1108",
type = "Technical report",
number = "CP-72022",
institution = "Computer Science/Operations Research Center, Institute
of Technology, Southern Methodist University",
address = "Dallas, TX, USA",
pages = "14",
year = "1972",
bibdate = "Fri Feb 09 17:49:08 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Bibliography: p. 14.",
}
@Article{Neave:1972:CLW,
author = "Henry R. Neave",
title = "A Comparison of Lag Window Generators",
journal = j-J-AM-STAT-ASSOC,
volume = "67",
number = "337",
pages = "152--158",
month = mar,
year = "1972",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:45 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314217;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2284714",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Neave:1972:RNP,
author = "Henry R. Neave",
title = "A random number package",
journal = "Computer Applications in the Natural and Social
Sciences",
volume = "14",
pages = "55",
year = "1972",
ISBN = "0-85358-015-4",
ISBN-13 = "978-0-85358-015-7",
ISSN = "0069-8105",
LCCN = "QA298 .N4",
bibdate = "Tue Jan 31 11:24:46 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Comp. Applcns Nat. Soc. Sci.",
fjournal = "Computer Applications in the Natural and Social
Sciences",
subject = "Monte Carlo method; data processing; random number
generators",
}
@Article{Niederreiter:1972:DCP,
author = "Harald Niederreiter",
title = "Discrepancy and convex programming",
journal = j-ANN-MAT-PURA-APPL-4,
volume = "93",
number = "??",
pages = "89--97",
month = "????",
year = "1972",
CODEN = "ANLMAE",
ISSN = "0373-3114 (print), 1618-1891 (electronic)",
MRnumber = "MR 389828",
bibdate = "Thu Jan 19 07:25:09 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annali di matematica pura ed applicata. Series 4",
}
@Article{Niederreiter:1972:DPR,
author = "Harald Niederreiter",
title = "On the Distribution of Pseudo-Random Numbers Generated
by the Linear Congruential Method",
journal = j-MATH-COMPUT,
volume = "26",
number = "119",
pages = "793--795",
month = jul,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database; Parallel/Multi.bib",
URL = "http://www.jstor.org/stable/pdfplus/2005109.pdf",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Univ. Illinois, Urbana, IL, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "distribution; linear congruential method; number
generation; pseudorandom; random number generation",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Niederreiter:1972:MED,
author = "Harald Niederreiter",
title = "Methods for estimating discrepancy",
crossref = "Zaremba:1972:ANT",
pages = "203--236",
year = "1972",
MRnumber = "MR 354593",
bibdate = "Thu Jan 19 07:29:32 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Norman:1972:CPG,
author = "J. E. Norman and L. E. Cannon",
title = "A computer program for the generation of random
variables from any discrete distribution",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "1",
number = "4",
pages = "331--348",
month = "????",
year = "1972",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657208810026",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Feb 07 08:44:25 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00949657208810026",
abstract = "This paper provides specific directions for the
preparation of a discrete pseudo-random number
generator computer program using basic machine
instructions. The scheme is a table look-up first
suggested by Marsaglia. It is applicable to any
discrete probability distribution. The general
procedure is described for probabilities expressed as
fractions in a number system of arbitrary base $ \beta
$. A brief example is given using the decimal system.
Flow diagrams accompany the directions which will
enable an experienced programmer to write the program
for any computer system with only modest storage
requirements. Results of chi-square tests performed on
samples from specific binomial, Poisson, negative
binomial, and hypergeometric distributions generated
using this procedure are given",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
onlinedate = "20 Mar 2007",
}
@TechReport{Overstreet:1972:FVP,
author = "Claude Overstreet",
title = "A {FORTRAN V} package for testing and anaylsis of
pseudorandom number generators",
type = "Technical report",
number = "CP-72009",
institution = "Computer Science/Operations Research Center, Institute
of Technology, Southern Methodist University",
address = "Dallas, TX, USA",
pages = "7 + [24]",
year = "1972",
bibdate = "Fri Feb 09 17:49:23 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "``A revised and modified version of Technical report
CP-700011.'' Bibliography: l. 7.",
}
@Article{Phillips:1972:PGG,
author = "Don T. Phillips and Charles S. Beightler",
title = "Procedures for generating gamma variates with
non-integer parameter sets",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "1",
number = "3",
pages = "197--208",
month = "????",
year = "1972",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657208810015",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Feb 07 08:50:32 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00949657208810015",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
onlinedate = "20 Mar 2007",
}
@Article{Proll:1972:RAA,
author = "L. G. Proll",
title = "Remark on ``{ACM Algorithm 370}: {General} random
number generator [{G5}]''",
journal = j-CACM,
volume = "15",
number = "6",
pages = "467--468",
month = jun,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:14:04 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1972.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Proll72;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Butler:1970:AAG}.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Univ. Southampton, UK",
country = "USA",
descriptors = "RVG",
enum = "7783",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "cumulative distribution function; probability density
function; random number generation; random number
generator; subroutines; transformation",
oldlabel = "Proll72",
references = "0",
treatment = "G General Review",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Proll72",
}
@Article{Ramberg:1972:AMG,
author = "John S. Ramberg and Bruce W. Schmeiser",
title = "Approximate Method for Generating Symmetric Random
Variables",
journal = j-CACM,
volume = "15",
number = "11",
pages = "987--990",
month = nov,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:14:55 MST 2001",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#RambergS72;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A method for generating values of continuous symmetric
random variables that is relatively fast, requires
essentially no computer memory, and is easy to use is
developed. The method, which uses a uniform zero-one
random number source, is based on the inverse function
of the lambda distribution of Tukey. Since it
approximates many of the continuous theoretical
distributions and empirical distributions frequently
used in simulations, the method should be useful to
simulation practitioners.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "922",
corpsource = "Univ. Iowa, Iowa City, IA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "approximate method; inverse function; lambda
distribution of Tukey; mathematical models;
mathematical statistics; random number generation;
random number source; simulation; symmetric random
variable generation; uniform zero one",
oldlabel = "RambergS72",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/RambergS72",
}
@Article{Rechtschaffen:1972:QSU,
author = "R. N. Rechtschaffen",
title = "Queuing simulation using a random number generator",
journal = j-IBM-SYS-J,
volume = "11",
number = "3",
pages = "255--271",
year = "1972",
CODEN = "IBMSA7",
ISSN = "0018-8670",
bibdate = "Tue Mar 19 17:38:46 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IBM Systems Journal",
}
@Article{Relles:1972:SAG,
author = "Daniel A. Relles",
title = "A simple algorithm for generating binomial random
variables when {$N$} is large",
journal = j-J-AM-STAT-ASSOC,
volume = "67",
number = "339",
pages = "612--613",
month = sep,
year = "1972",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Fri Jan 6 09:58:59 2012",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1972.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2284449",
acknowledgement = ack-nhfb,
date = "13/05/93",
descriptors = "RVG",
enum = "7809",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
location = "SEL: Wi",
revision = "16/01/94",
}
@Article{Schincke:1972:EPS,
author = "E. Schincke and J. H{\"o}pfner",
title = "{Erzeugungen von Pseudozufallszahlenfolgen mit
st{\"u}ckweise polygonaler Verteilung}. ({German})
[{Generation} of pseudo random number sequences with
piecemeal polynomial distribution]",
journal = j-COMPUTING,
volume = "9",
number = "1",
pages = "63--68",
month = mar,
year = "1972",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
acknowledgement = ack-nhfb,
affiliation = "Martin-Luther Univ., Saale, East Germany",
classification = "C7890",
description = "random number generation",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "algorithm; generation; piecewise continuous
probability distributions; pseudorandom numbers;
transformation; uniform distribution",
language = "German",
}
@Article{Schrack:1972:RAR,
author = "G{\"u}nther F. Schrack",
title = "Remark on ``{Algorithm 381}: Random vectors uniform in
solid angle''",
journal = j-CACM,
volume = "15",
number = "6",
pages = "468--468",
month = jun,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:19:52 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Schrack72a;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Knop:1970:AAR}.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Univ. British Columbia, Vancouver, BC, Canada",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "points uniform on; random number generation; random
vector generator; solid angle; sphere; spherically
symmetric probability distribution; subroutines",
oldlabel = "Schrack72a",
treatment = "A Application",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Schrack72a",
}
@InCollection{Sobol:1972:DIG,
author = "I. M. Sobol'",
booktitle = "Operations research and statistical modeling, No. 1
({Russian})",
title = "A deterministic interpretation of goodness-of-fit
tests, and a test of pseudorandom numbers",
publisher = "Izdat. Leningrad. Univ., Leningrad",
pages = "162--169",
year = "1972",
MRclass = "65C05",
MRnumber = "0373221 (51 \#9422)",
MRreviewer = "V. Pagurova",
bibdate = "Thu Jan 19 08:21:30 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Sobol:1972:PEE,
author = "I. M. Sobol'",
title = "A probabilistic estimate of the error for nonrandom
integration nets",
journal = "Voprosy Vy{\c{c}}isl. i Prikl. Mat. (Ta{\v{s}}kent)",
volume = "14",
number = "??",
pages = "5--11",
month = "????",
year = "1972",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 19 08:22:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Sokal:1972:OCN,
author = "Nathan O. Sokal",
title = "Optimum Choice of Noise Frequency Band and Sampling
Rate for Generating Random Binary Digits from Clipped
White Noise",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-21",
number = "6",
pages = "614--615",
month = jun,
year = "1972",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1972.5009023",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 18:58:44 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009023",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Sowey:1972:CCB,
author = "E. R. Sowey",
title = "A Chronological and Classified Bibliography on Random
Number Generation and Testing",
journal = j-INT-STAT-REV,
volume = "40",
number = "3",
pages = "355--371",
month = dec,
year = "1972",
CODEN = "ISTRDP",
ISSN = "0306-7734 (print), 1751-5823 (electronic)",
ISSN-L = "0306-7734",
bibdate = "Fri Jul 01 07:51:56 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/1402472",
acknowledgement = ack-nhfb,
fjournal = "International Statistical Review / Revue
Internationale de Statistique",
journal-URL = "http://www.jstor.org/journals/03067734.html",
}
@Article{Sullins:1972:CAP,
author = "Walter L. Sullins",
title = "Certification of ``{Algorithm 266}: {Pseudo}-Random
Numbers [{G5}]''",
journal = j-CACM,
volume = "15",
number = "12",
pages = "1072--1073",
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Aug 02 07:31:49 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Sullins72;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Pike:1965:APR} and remarks
\cite{Hansson:1966:RAG,Pike:1966:RAG}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "PRNG (pseudo-random number generator)",
oldlabel = "Sullins72",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sullins72",
}
@Article{Vincent:1972:CPA,
author = "C. H. Vincent",
title = "Corrigendum: {Precautions for accuracy in the
generation of truly random binary numbers}",
journal = j-J-PHYS-E,
volume = "5",
number = "6",
pages = "546--546",
year = "1972",
CODEN = "JPSIAE",
DOI = "https://doi.org/10.1088/0022-3735/5/6/521",
ISSN = "0022-3735",
ISSN-L = "0022-3735",
bibdate = "Sat Nov 29 15:13:30 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Vincent:1971:PAG}.",
URL = "http://stacks.iop.org/0022-3735/5/i=6/a=521",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. E: Scientific instruments",
journal-URL = "http://iopscience.iop.org/0022-3735/",
}
@Article{Ahrens:1973:EFM,
author = "J. H. Ahrens and Ulrich Dieter",
title = "Extensions of {Forsythe}'s method for random sampling
from the normal distribution",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "927--937",
month = oct,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1973.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "6927",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@Article{Ahrens:1973:NME,
author = "J. H. Ahrens and Ulrich Dieter",
title = "{Neuere Methoden zur Erzeugung von
nicht-gleichverteilten Zufallsvariablen}. ({German})
[{Newer} methods for the generation of nonuniformly
distributed random variables]",
journal = j-Z-ANGE-MATH-MECH,
volume = "53",
number = "12",
pages = "T221--T223",
month = "????",
year = "1973",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.197305312115",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
bibdate = "Mon Jan 16 12:55:37 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/zamm.197305312115/abstract",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik}",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
language = "German",
onlinedate = "17 November 2010",
}
@Article{Burford:1973:BAC,
author = "R. L. Burford",
title = "A better additive congruential random number
generator",
journal = "Decision Sciences",
volume = "4",
number = "??",
pages = "190--193",
month = "????",
year = "1973",
CODEN = "????",
ISSN = "0011-7315",
bibdate = "Mon Jan 16 21:57:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Diaconis:1973:LMI,
author = "Persi Diaconis",
title = "Limits of measures of the integers with applications
to random number generators and the distribution of
leading digits",
type = "Memorandum",
number = "NS-211",
institution = "Department of Statistics, Harvard University",
address = "Cambridge, MA, USA",
day = "22",
month = mar,
year = "1973",
bibdate = "Sat Nov 12 16:23:20 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Dieter:1973:CMG,
author = "Ulrich Dieter and J. H. Ahrens",
title = "A Combinatorial Method for the Generation of Normally
Distributed Random Numbers",
journal = j-COMPUTING,
volume = "11",
number = "2",
pages = "137--146",
month = jun,
year = "1973",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
acknowledgement = ack-ec # " and " # ack-nhfb,
affiliation = "Tech. Hochschule Graz, Austria",
classification = "C7890",
description = "random number generation",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "combinatorial method; generation; normally
distributed; random numbers",
}
@Book{Durbin:1973:DTT,
author = "James Durbin",
title = "Distribution Theory for Tests Based on the Sample
Distribution Function",
volume = "9",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "vi + 64",
year = "1973",
LCCN = "QA276.7 .D87",
bibdate = "Sat Mar 03 15:01:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "SIAM CBMS-NSF Regional Conference Series in applied
mathematics",
acknowledgement = ack-nhfb,
}
@Book{Fishman:1973:CMD,
author = "George S. Fishman",
title = "Concepts and Methods in Discrete Event Digital
Simulation",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xiv + 385",
year = "1973",
ISBN = "0-471-26155-6",
ISBN-13 = "978-0-471-26155-1",
LCCN = "T57.62 .F57",
bibdate = "Thu Jan 5 14:27:20 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Digital computer simulation; System analysis",
}
@Article{Good:1973:BRB,
author = "I. J. Good",
title = "Book Review: {{\booktitle{The Generation of Random
Variates}} by T. G. Newman; P. L. Odell}",
journal = j-INT-STAT-REV,
volume = "41",
number = "1",
pages = "139--140",
month = apr,
year = "1973",
CODEN = "ISTRDP",
DOI = "https://doi.org/10.2307/1402798",
ISSN = "0306-7734 (print), 1751-5823 (electronic)",
ISSN-L = "0306-7734",
bibdate = "Wed Jun 18 06:09:08 MDT 2014",
bibsource = "http://www.jstor.org/stable/i261080;
https://www.math.utah.edu/pub/tex/bib/intstatrev.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/1402798",
acknowledgement = ack-nhfb,
fjournal = "International Statistical Review = Revue
Internationale de Statistique",
journal-URL = "http://www.jstor.org/journals/03067734.html",
}
@PhdThesis{Grube:1973:MREa,
author = "A. Grube",
title = "{Mehrfach rekursiv erzeugte Zahienfolgen} ({German})
[Multiple sequences of numbers generated recursively]",
type = "Dissertation",
school = "Fakult{\"a}t f{\"u}r Mathematik, Universit{\"a}t
Karlsruhe",
address = "Karlsruhe, West Germany",
year = "1973",
bibdate = "Tue Jan 10 16:09:20 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Grube:1973:MREb,
author = "A. Grube",
title = "{Mehrfach rekursiv-erzeugte Pseudo-Zufallszahlen}.
({German}) [{Multiply} recursive generation of
pseudorandom numbers]",
journal = j-Z-ANGE-MATH-MECH,
volume = "53",
number = "12",
pages = "T223--T225",
month = "????",
year = "1973",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.197305312116",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
bibdate = "Mon Jan 16 21:57:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik}",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
language = "German",
}
@Article{Gupta:1973:OSE,
author = "Shanti S. Gupta and Klaus Nagel and S. Panchapakesan",
title = "On the Order Statistics from Equally Correlated Normal
Random Variables",
journal = j-BIOMETRIKA,
volume = "60",
number = "2",
pages = "403--413",
month = aug,
year = "1973",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2334554",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "62E15",
MRnumber = "0388608 (52 \#9444)",
MRreviewer = "R. E. Barlow",
bibdate = "Sat Jun 21 14:33:52 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315474;
https://www.math.utah.edu/pub/tex/bib/biometrika1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2334554",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
}
@Article{Hader:1973:IMR,
author = "R. J. Hader",
title = "An Improper Method of Randomization in Experimental
Design",
journal = j-AMER-STAT,
volume = "27",
number = "2",
pages = "82--84",
month = apr,
year = "1973",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:20 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326378;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2683964",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Book{Hamming:1973:NMS,
author = "R. W. Hamming",
title = "Numerical Methods for Scientists and Engineers",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
edition = "Second",
pages = "ix + 721",
year = "1973",
ISBN = "0-07-025887-2",
ISBN-13 = "978-0-07-025887-7",
LCCN = "QA297 .H28 1973",
bibdate = "Tue Jan 17 11:46:24 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "random numbers",
}
@Article{Holland:1973:GAO,
author = "John H. Holland",
key = "genetic-algorithms",
title = "Genetic Algorithms and the Optimal Allocation of
Trials",
journal = j-SIAM-J-COMPUT,
volume = "2",
number = "2",
pages = "88--105",
month = apr,
year = "1973",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
bibdate = "Mon Nov 29 10:57:42 MST 2010",
bibsource = "Ai/alife.bib;
http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/2/2;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib;
Misc/misc.1.bib",
note = "See erratum \cite{Holland:1974:EGA}.",
abstract = "This study gives a formal setting to the difficult
optimisation problems characterised by the conjunction
of (1) substantial complexity and initial uncertainty,
(2) the necessity of acquiring new information rapidly
to reduce the uncertainty and (3) a requirement that
the new information be exploited as acquired so that
average performance increases at a rate consistent with
th rate of acquisition of information. The setting has
as its basis a set A of structures to be searched or
tried and a performance function u:A->real numbers.
Within this setting it is determined how to allocate
trials to a set of random variables so as to maximise
expected performances. This result is then transformed
into a criterion against which to measure the
performance of a robust and easily implemented set of
algorithms called reproductive plans. It is shown that
reproductive plans can in fact surpass the criterion
because of a phenomenon called intrinsic parallelism
--- a single trial (individual a E A) simultaneously
tests and exploits many random variables.",
acknowledgement = ack-nhfb,
annote = "A mathematical analysis of genetic algorithms and
their ``implicit parallelism''.",
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
}
@Article{Knop:1973:AAR,
author = "Robert E. Knop",
title = "{ACM Algorithm 441}: Random Deviates from the Dipole
Distribution [{G5}]",
journal = j-CACM,
volume = "16",
number = "1",
pages = "51--51",
month = jan,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:55:18 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1973.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Knop73;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Florida State Univ., Tallahassee, FL, USA",
country = "USA",
descriptors = "RVG",
enum = "7514",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "dipole distribution; FORTRAN; probability density;
random deviates; random number; statistics;
subroutines",
oldlabel = "Knop73",
references = "0",
treatment = "P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Knop73",
}
@Article{Kozlov:1973:EEM,
author = "G. A. Kozlov",
title = "Estimation of the Error of the Method of Statistical
Tests ({Monte-Carlo}) Due to Imperfections in the
Distribution of Random Numbers",
journal = j-THEORY-PROBAB-APPL,
volume = "17",
number = "3",
pages = "493--509",
month = "????",
year = "1973",
CODEN = "TPRBAU",
DOI = "https://doi.org/10.1137/1117057",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Tue Apr 1 10:36:41 MDT 2014",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/17/3;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
onlinedate = "June 1973",
}
@TechReport{Learmonth:1973:NPS,
author = "G. P. Learmonth and P. A. W. Lewis",
title = "{Naval Postgraduate School} Random Number Generator
Package {LLRANDOM}",
type = "Report",
number = "NP555LW73061A",
institution = "Naval Postgraduate School",
address = "Monterey, CA, USA",
year = "1973",
bibdate = "Thu Jan 05 14:33:09 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "The shuffling algorithm proposed in this report does
{\em not\/} lengthen the period, and only marginally
reduces the lattice structure of linear congruential
generators, despite the apparently tiny difference with
the \cite{Bays:1976:IPR} algorithm: see
\cite{Bays:1990:CIR} for a comparison, both
mathematical, and graphical.",
acknowledgement = ack-nhfb,
}
@Article{Levin:1973:NRS,
author = "L. A. Levin",
title = "On the notion of a random sequence",
journal = j-SOVIET-MATH-DOKL,
volume = "14",
number = "??",
pages = "1413--1416",
month = "????",
year = "1973",
CODEN = "????",
ISSN = "0197-6788",
bibdate = "Thu Dec 29 15:04:43 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Soviet Mathematics. Doklady",
}
@Article{Lewis:1973:GFS,
author = "T. G. Lewis and W. G. Payne",
title = "Generalized Feedback Shift Register Pseudorandom
Number Algorithm",
journal = j-J-ACM,
volume = "20",
number = "3",
pages = "456--468",
month = jul,
year = "1973",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321765.321777",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Dec 22 07:42:23 2011",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1973.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See important errata, and algorithm and code
improvements, in \cite{Fushimi:1990:RNG}.",
acknowledgement = ack-nhfb,
annote = "Feedback configurations for SR's of length > 45",
descriptors = "Shift register sequences",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@TechReport{Malcolm:1973:UUR,
author = "Michael A. Malcolm and Cleve B. Moler",
title = "{URAND}: a universal random number generator",
type = "Technical Report",
number = "STAN-CS-73-334",
institution = "Computer Science Department, Stanford University",
address = "Stanford, CA, USA",
pages = "5",
year = "1973",
bibdate = "Sat Apr 07 09:25:30 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A subroutine for generating uniformly-distributed
floating-point numbers in the interval $ [0, 1) $ is
presented in ANSI Standard Fortran. The subroutine,
URAND, is designed to be relatively machine
independent. URAND has undergone minimal testing on
various machines and is thought to work properly on any
machine having binary integer number representation,
integer multiplication modulo $m$ and integer addition
either modulo $m$ or yielding at least $ \log_2 (m) $
significant bits, where $m$ is some integral power of
$2$. Upon the first call of URAND, the value of $m$ is
automatically determined and appropriate constants for
a linear congruential generator are computed following
the suggestions of D. E. Knuth, volume 2. URAND is
guaranteed to have a full-length cycle. Readers are
invited to apply their favorite statistical tests to
URAND, using any binary machine, and report the results
to the authors.",
acknowledgement = ack-nhfb,
}
@Article{Maritsas:1973:AFT,
author = "D. G. Maritsas",
title = "The Autocorrelation Function of the Two Feedback
Shift-Register Pseudorandom Source",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-22",
number = "10",
pages = "962--964",
month = oct,
year = "1973",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1973.223626",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 16:45:35 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672219",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Maritsas:1973:HSA,
author = "Dimitris G. Maritsas",
title = "A High Speed and Accuracy Digital {Gaussian} Generator
of Pseudorandom Numbers",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-22",
number = "7",
pages = "629--634",
month = jul,
year = "1973",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1973.5009127",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 16:45:27 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009127",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@TechReport{Marsaglia:1973:HUM,
author = "George Marsaglia and K. Ananthanarayanan and A.
Zaman",
title = "How to use the {McGill} random-number package
{SUPER-DUPER}",
type = "Technical report",
institution = "School of Computer Science, McGill University",
address = "Montreal, Quebec, Canada",
year = "1973",
bibdate = "Thu Dec 20 20:19:47 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@TechReport{McGrath:1973:TEM,
author = "E. J. McGrath and D. C. Irving",
title = "Techniques for Efficient {Monte Carlo} Simulation.
{Vol. II}. {Random} Number Generation for Selected
Probability Distributions",
type = "Report",
number = "????",
institution = "National Technical Information Service",
address = "Springfield, VA, USA",
year = "1973",
bibdate = "Wed Nov 12 08:59:16 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Neave:1973:MUB,
author = "Henry R. Neave",
title = "Miscellanea: On Using the {Box--Muller} Transformation
with Multiplicative Congruential Pseudo-Random Number
Generators",
journal = j-APPL-STAT,
volume = "22",
number = "1",
pages = "92--97",
year = "1973",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:20:44 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/pdfplus/2346308.pdf",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@TechReport{Neuman:1973:CSS,
author = "Frank Neuman and Robert Merrick and Clyde F. Martin",
title = "The correlation structure of several popular
pseudorandom number generators",
type = "Report",
number = "NASA-TM-X-62275",
institution = "NASA Ames Research Center",
address = "????",
year = "1973",
bibdate = "Thu Jan 19 18:03:08 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Document ID: 19730017891",
abstract = "One of the desirable properties of a pseudorandom
number generator is that the sequence of numbers it
generates should have very low autocorrelation for all
shifts except for zero shift and those that are
multiples of its cycle length. Due to the simple
methods of constructing random numbers, the ideal is
often not quite fulfilled. A simple method of examining
any random generator for previously unsuspected
regularities is discussed. Once they are discovered it
is often easy to derive the mathematical relationships,
which describe the mathematical relationships, which
describe the regular behavior. As examples, it is shown
that high correlation exists in mixed and
multiplicative congruential random number generators
and prime moduli Lehmer generators for shifts a
fraction of their cycle lengths.",
acknowledgement = ack-nhfb,
}
@Article{Niederreiter:1973:BEB,
author = "H. Niederreiter and W. Philipp",
title = "{Berry--Esseen} bounds and a theorem of {Erd{\H{o}}s}
and {Tur{\'a}n} on uniform distribution $ \bmod 1 $",
journal = j-DUKE-MATH-J,
volume = "40",
number = "??",
pages = "633--649",
month = "????",
year = "1973",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRnumber = "MR 337873",
bibdate = "Thu Jan 19 07:45:30 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@InProceedings{Niederreiter:1973:MTD,
author = "Harald Niederreiter",
editor = "????",
booktitle = "Analytic number theory (Proceedings of the Symposium
on Pure Mathematics, St. Louis University, St. Louis,
{MO)}",
title = "Metric theorems on the distribution of sequences",
volume = "XXIV",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "195--212",
year = "1973",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
MRnumber = "MR0337872 (49 #2641)",
bibdate = "Thu Jan 19 07:31:49 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@PhdThesis{Overstreet:1973:QCM,
author = "Claude {Overstreet, Jr.}",
title = "The Quadratic Congruential Method of Random Number
Generation",
type = "{Ph.D.} Dissertation",
school = "Southern Methodist University",
address = "Dallas, TX",
month = may,
year = "1973",
bibdate = "Tue Jan 17 11:28:14 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Overstreet:1973:RNG,
author = "Claude {Overstreet, Jr.} and Richard E. Nance",
editor = "Erwin E. Perlin and Thomas J. {McConnell, Jr.}",
booktitle = "{ACM '73: Proceedings of the ACM annual conference}",
title = "A random number generator for small word-length
computers",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "219--223",
year = "1973",
DOI = "https://doi.org/10.1145/800192.805707",
LCCN = "????",
bibdate = "Tue Jan 17 11:23:06 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Kral:1972:NAP,Kral:1972:ENA}",
URL = "http://dl.acm.org/citation.cfm?id=805707",
acknowledgement = ack-nhfb,
}
@Article{Peskun:1973:OMC,
author = "P. H. Peskun",
title = "Optimum {Monte--Carlo} Sampling Using {Markov}
Chains",
journal = j-BIOMETRIKA,
volume = "60",
number = "3",
pages = "607--612",
month = dec,
year = "1973",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2335011",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "65C05 (60J10)",
MRnumber = "0362823 (50 \#15261)",
MRreviewer = "J. Spanier",
bibdate = "Sat Jun 21 14:33:54 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315475;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2335011",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
remark = "This paper, based on the author's Ph.D. thesis work,
proves the optimality of the Metropolis--Hastings
algorithm \cite{Hastings:1970:MCS,Metropolis:1953:ESC},
and compares it with the Barker approach
\cite{Barker:1965:MCC}. See \cite{Hitchcock:2003:HMH}
for a historical view.",
}
@InCollection{Philipp:1973:EDF,
author = "W. Philipp",
editor = "C. F. Osgood",
booktitle = "{Diophantine} Approximation and Its Applications",
title = "Empirical distribution functions and uniform
distribution $ \bmod 1 $",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "????",
pages = "211--234",
year = "1973",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
MRnumber = "MR 354594",
bibdate = "Thu Jan 19 08:04:57 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Pohl:1973:MVM,
author = "P. Pohl",
title = "The multicyclic vector method of generating
pseudo-random numbers. {I}. {Theoretical} background,
Description of the method and algebraic analysis",
type = "Report",
number = "TRITA-NA-7307",
institution = "The Royal Institute of Technology, Department of
Information Processing and Computer Science",
address = "Stockholm, Sweden",
pages = "36",
year = "1973",
bibdate = "Thu Mar 08 20:50:37 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Polge:1973:GPR,
author = "R. J. Polge and E. M. Holliday and B. K. Bhagavan",
title = "Generation of a pseudo-random set with desired
correlation and probability distribution",
journal = j-SIMULATION,
volume = "20",
number = "5",
pages = "153--158",
month = may,
year = "1973",
CODEN = "SIMUA2",
DOI = "https://doi.org/10.1177/003754977302000504",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Wed Jan 11 12:07:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/20/5/153.full.pdf+html",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
}
@Article{Rice:1973:DRE,
author = "S. O. Rice",
title = "Distribution of $ \sum a_n / n $, $ a_n $ Randomly
Equal to $ \pm 1 $",
journal = j-BELL-SYST-TECH-J,
volume = "52",
number = "7",
pages = "1097--1103",
month = sep,
year = "1973",
CODEN = "BSTJAN",
ISSN = "0005-8580",
bibdate = "Tue Nov 9 11:15:55 MST 2010",
bibsource = "http://bstj.bell-labs.com/oldfiles/year.1973/BSTJ.1973.5207.html;
http://www.alcatel-lucent.com/bstj/vol52-1973/bstj-vol52-issue07.html;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://bstj.bell-labs.com/BSTJ/images/Vol52/bstj52-7-1097.pdf;
http://www.alcatel-lucent.com/bstj/vol52-1973/articles/bstj52-7-1097.pdf",
abstract = "When $ a_1, a2, \ldots {} $ are independent random
variables, each equal to $ \pm 1 $ with probability $ 1
/ 2 $, the sum $ \sum_{n = 1}^\infty a_n / n $ is a
random variable whose distribution is difficult to
determine theoretically. This sum is of interest in the
study of intersymbol interference in digital
communication systems. Here the distribution of the sum
is computed by numerical integration and the results
tabulated. Asymptotic expressions are given for the
tails of the distribution.",
acknowledgement = ack-nhfb,
fjournal = "The Bell System Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}
@Article{Schatte:1973:VMG,
author = "Peter Schatte",
title = "{Zur Verteilung der Mantisse in der
Gleitkommadarstellung einer Zufallsgr{\"o}{\ss}e}.
({German}) [Distribution of the mantissa in the
floating-point representation of a random variable]",
journal = j-Z-ANGE-MATH-MECH,
volume = "53",
number = "??",
pages = "553--565",
month = "????",
year = "1973",
CODEN = "ZAMMAX",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
bibdate = "Mon Nov 14 16:35:28 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik}",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
language = "German",
}
@Article{Tootill:1973:ART,
author = "J. P. R. Tootill and W. D. Robinson and D. J. Eagle",
title = "An Asymptotically Random {Tausworthe} Sequence",
journal = j-J-ACM,
volume = "20",
number = "3",
pages = "469--481",
month = jul,
year = "1973",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321765.321778",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Thu Dec 22 07:42:23 2011",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1973.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The theoretical limitations on the orders of
equidistribution attainable by Tausworthe sequences are
derived from first principles and are stated in the
form of a criterion to be achieved. A second criterion,
extending these limitations to multidimensional
uniformity, is also defined. A sequence possessing both
properties is said to be asymptotically random as no
other sequence of the same period could be more random
in these respects. An algorithm is presented which, for
any Tausworthe sequence based on a primitive trinomial
over GF(2), establishes how closely or otherwise the
conditions necessary for the criteria are achieved.
Given that the necessary conditions are achieved, the
conditions sufficient for the first criterion are
derived from Galois theory and always apply. For the
second criterion, however, the period must be prime. An
asymptotically random 23-bit number sequence of
astronomic period, $ 2^{607} - 1 $, is presented. An
initialization program is required to provide 607
starting values, after which the sequence can be
generated with a three-term recurrence of the Fibonacci
type. In addition to possessing the theoretically
demonstrable randomness properties associated with
Tausworthe sequences, the sequence possesses
equidistribution and multidimensional uniformity
properties vastly in excess of anything that has yet
been shown for conventional congruentially generated
sequences. It is shown that, for samples of a size it
is practicable to generate, there can exist no purely
empirical test of the sequence as it stands capable of
distinguishing between it and an $ \infty $-distributed
sequence. Bounds for local nonrandomness in respect of
runs above (below) the mean and runs of equal numbers
are established theoretically. The claimed randomness
properties do not necessarily extend to subsequences,
though it is not yet known which particular
subsequences are at fault. Accordingly, the sequence is
at present suggested only for simulations with no fixed
dimensionality requirements.",
acknowledgement = ack-nhfb,
annote = "The theoretical limitations on the orders of
equidistribution attainable by Tausworthe sequences are
derived from first principles and are stated in the
form of a criterion to be achieved. A second criterion,
extending these limitations to multidimensional
uniformity, is also defined. A sequence possessing both
properties is said to be asymptotically random as no
other sequence of the same period could be more random
in these respects. \ldots{}",
descriptors = "Tausworthe generator; shift register sequences; rng;
test; runtime/storage efficiency; multidimensional
uniformity",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Tsuda:1973:NIF,
author = "Takao Tsuda",
title = "Numerical integration of functions of very many
variables",
journal = j-NUM-MATH,
volume = "20",
number = "5",
pages = "377--391",
month = oct,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Hokkaido Univ., Sapporo, Japan",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "composite functions; functions of very many variables;
integration; Monte Carlo quadrature; multidimensional
interpolatory quadrature scheme; numerical integration;
samplings",
treatment = "T Theoretical or Mathematical",
}
@Article{Vincent:1973:RGT,
author = "C. H. Vincent",
title = "Reply to {``The generation of truly random binary
digits''}",
journal = j-J-PHYS-E,
volume = "6",
number = "5",
pages = "496--496",
month = "????",
year = "1973",
CODEN = "JPSIAE",
DOI = "https://doi.org/10.1088/0022-3735/6/5/027",
ISSN = "0022-3735",
bibdate = "Thu Feb 02 18:19:05 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://iopscience.iop.org/0022-3735/6/5/027",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. E: Scientific instruments",
journal-URL = "http://iopscience.iop.org/0022-3735/",
}
@Article{Adam:1974:CLS,
author = "Thomas L. Adam and K. Mani Chandy and J. R. Dickson",
title = "A Comparison of List Schedules for Parallel Processing
Systems",
journal = j-CACM,
volume = "17",
number = "12",
pages = "685--690",
month = dec,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:20:31 MST 2001",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Parallel/OVR.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#AdamCD74;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The problem of scheduling two or more processors to
minimize the execution time of a program which consists
of a set of partially ordered tasks is studied. Cases
where task execution times are deterministic and others
in which execution times are random variables are
analyzed. It is shown that different algorithms
suggested in the literature vary significantly in
execution time and that the B-schedule of Coffman and
Graham is near-optimal. A dynamic programming solution
for the case in which execution times are random
variables is presented.",
acknowledgement = ack-nhfb,
classcodes = "C5400 (Analogue and digital computers and systems);
C6150J (Operating systems)",
classification = "722",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "comparison; computer systems, digital; dynamic
programming; list schedules; list scheduling;
optimisation; optimization; parallel processing;
parallel processing systems; precedence graphs;
scheduling",
oldlabel = "AdamCD74",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/AdamCD74",
}
@Article{Ahrens:1974:CMS,
author = "J. H. Ahrens and Ulrich Dieter",
title = "Computer Methods for Sampling from Gamma, Beta,
{Poisson} and Binomial Distributions",
journal = j-COMPUTING,
volume = "12",
number = "3",
pages = "223--246",
month = sep,
year = "1974",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:52 MST 2001",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
note = "See note \cite{Apostolopoulos:1979:IAN}.",
acknowledgement = ack-nhfb # " and " # ack-ec,
affiliation = "Nova Scotia Tech. Coll., Halifax, NS, Canada",
classification = "922; C7890",
description = "random number generation; random processes; sampled
data systems",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
journalabr = "Comput (Vienna/NY)",
keywords = "beta distribution; binomial distribution; computer
methods; gamma distribution; intermediate step;
mathematical programming; normal distribution;
numerical analysis; Poisson distribution; probability;
pseudorandom; random numbers; sampling; simulation;
uniformly distributed random numbers; variable
parameters",
}
@Article{Alam:1974:SNT,
author = "Khursheed Alam",
title = "Some Nonparametric Tests of Randomness",
journal = j-J-AM-STAT-ASSOC,
volume = "69",
number = "347",
pages = "738--739",
month = sep,
year = "1974",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:46 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314229;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2286010",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Beasley:1974:CSR,
author = "J. D. Beasley",
title = "Correspondence: {System 4} random number",
journal = j-COMP-J,
volume = "17",
number = "4",
pages = "381--381",
month = nov,
year = "1974",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Sat Oct 07 11:02:09 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compj1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_17/Issue_04/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_17/Issue_04/tiff/381.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Block:1974:CBE,
author = "Henry W. Block and A. P. Basu",
title = "A continuous bivariate exponential extension",
journal = j-J-AM-STAT-ASSOC,
volume = "69",
number = "348",
pages = "1031--1037",
month = dec,
year = "1974",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon May 5 08:32:38 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2286184",
acknowledgement = ack-nhfb,
classification = "B0240 (Probability and statistics); C1140
(Probability and statistics)",
corpsource = "Dept. of Math., Univ. of Pittsburgh, Pittsburgh, PA,
USA",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
keywords = "bivariate random variables; continuous bivariate
exponential extension; estimation; exponential
distribution; loss of memory property; reliability;
statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1974:AAG,
author = "Richard P. Brent",
title = "{ACM Algorithm 488}: a {Gaussian} pseudo-random number
generator [{G5}]",
journal = j-CACM,
volume = "17",
number = "12",
pages = "704--706",
month = dec,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:28:05 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Brent74;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Australian Nat. Univ., Canberra, Australia",
country = "USA",
descriptors = "RVG",
enum = "7061",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "distribution; FORTRAN; Gaussian; generator; GRAND;
normal distribution; pseudo random numbers; random
number generation; random numbers; subroutines",
location = "SEL: Wi",
oldlabel = "Brent74",
references = "0",
remark = "Fullerton: A FORTRAN routine that returns normally
distributed numbers with zero mean and unit standard
deviation.",
revision = "16/01/94",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Brent74",
}
@Article{Chen:1974:GRV,
author = "Hui-Chuan Chen and Yoshinori Asau",
title = "On generating random variates from an empirical
distribution",
journal = "Transactions of the American Institute of Electrical
Engineers",
volume = "6",
number = "2",
pages = "163--166",
year = "1974",
CODEN = "????",
DOI = "https://doi.org/10.1080/05695557408974949",
ISSN = "????",
bibdate = "Thu Dec 29 15:19:24 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "This note presents a method for generating a sequence
of random variates from an empirical distribution.
Computational results show that the proposed method
requires less computation time than two standard
methods but requires only ten more words of memory. The
savings in time becomes more significant as the number
of distinct values contained in the distribution, or
the sample size increases.",
acknowledgement = ack-nhfb,
ajournal = "AIEE Transactions",
}
@Article{Cohn:1974:CRP,
author = "Charles E. Cohn",
title = "Correlations in a random-pulse generator",
journal = j-SIMULATION,
volume = "23",
number = "4",
pages = "128--128",
month = oct,
year = "1974",
CODEN = "SIMUA2",
DOI = "https://doi.org/10.1177/003754977402300407",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Wed Jan 11 11:55:58 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/23/4/128.full.pdf+html",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
remark = "Discusses a physical device, the BNC Model DB-2 Random
Pulse Generator, and shows that its output is far from
random.",
}
@Article{Coldwell:1974:CDS,
author = "Robert Lynn Coldwell",
title = "Correlational defects in the standard {IBM 360} random
number generator and the classical ideal gas
correlation function",
journal = j-J-COMPUT-PHYS,
volume = "14",
number = "2",
pages = "223--226",
month = feb,
year = "1974",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(74)90015-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Dec 31 08:29:49 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See comment \cite{Amadori:1977:CDS}.",
URL = "http://www.sciencedirect.com/science/article/pii/0021999174900151",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Collins:1974:CTE,
author = "George E. Collins",
title = "The Computing Time of the {Euclidean} Algorithm",
journal = j-SIAM-J-COMPUT,
volume = "3",
number = "1",
pages = "1--10",
month = "????",
year = "1974",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
bibdate = "Mon Nov 29 10:57:53 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/3/1;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
}
@Book{Dahlquist:1974:NM,
author = "Germund Dahlquist and {\AA}ke Bj{\"o}rck and Ned
Anderson",
title = "Numerical Methods",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xviii + 573",
year = "1974",
ISBN = "0-13-627315-7",
ISBN-13 = "978-0-13-627315-8",
LCCN = "QA297 .D131 1969",
bibdate = "Tue Dec 14 22:44:59 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Translated by Ned Anderson.",
series = "Prentice-Hall Series in Automatic Computation",
acknowledgement = ack-nhfb,
shorttableofcontents = "1: Some General Principles of Numerical
Calculation / 1 \\
2: How to Obtain and Estimate Accuracy in Numerical
Calculations / 21 \\
3: Numerical Uses of Series / 60 \\
4: Approximation of Functions / 81 \\
5: Numerical Linear Algebra / 137 \\
6: Nonlinear Equations / 218 \\
7: Finite Differences with Applications to Numerical
Integration, Differentiation, and Interpolation / 255
\\
8: Differential Equations / 330 \\
9: Fourier Methods / 405 \\
10: Optimization / 422 \\
11: The Monte Carlo Method and Simulation / 448 \\
12: Solutions to Problems / 465 \\
13: Bibliography and Published Algorithms / 536 \\
Index by Subject to Algorithms, 1960--1970 / 548 \\
Appendix Tables / 563 \\
Index / 565",
tableofcontents = "Preface / xvii \\
Conventions / xix \\
1: Some General Principles of Numerical Calculation / 1
\\
1.1. Introduction / 1 \\
1.2. Some Common Ideas and Concepts in Numerical
Methods / 2 \\
1.3. Numerical Problems and Algorithms / 13 \\
1.3.1. Definitions / 13 \\
1.3.2. Recursive Formulas; Homer's Rule / 14 \\
1.3.3. An Example of Numerical Instability / 16 \\
2: How to Obtain and Estimate Accuracy in Numerical
Calculations / 21 \\
2.1. Basic Concepts in Error Estimation / 21 \\
2.1.1. Introduction / 21 \\
2.1.2. Sources of Error / 22 \\
2.1.3. Absolute and Relative Errors / 23 \\
2.1.4. Rounding and Chopping / 24 \\
2.2 Propagation of Errors / 26 \\
2.2.1. Simple Examples of Error Analysis / 26 \\
2.2.2. The General Formula for Error Propagation;
Maximum Error and Standard Error / 29 \\
2.2.3. On the Practical Application of Error Estimation
/ 34 \\
2.2.4. The Use of Experimental Perturbations / 36 \\
2.2.5. Automatic Control of Accuracy / 37 \\
2.3. Number Systems; Floating and Fixed Representation
/ 42 \\
2.3.1. The Position System / 42 \\
2.3.2. Floating and Fixed Representation / 43 \\
2.3.3. Floating Decimal Point / 44 \\
2.3.4. Fixed Decimal Point / 46 \\
2.3.5. Round-off Errors in Computation with Floating
Arithmetic Operations / 46 \\
2.4. Backward Error Analysis; Condition Numbers / 51
\\
2.4.1. Backward Error Analysis / 51 \\
2.4.2. Condition Numbers for Problems and Algorithms /
53 \\
2.4.3. Geometrical Illustration of Error Analysis / 56
\\
3: Numerical Uses of Series / 60 \\
3.1. Elementary Uses of Series / 60 \\
3.1.1. Simple Examples / 60 \\
3.1.2. Estimating the Remainder / 62 \\
3.1.3. Power Series / 65 \\
3.2. Acceleration of Convergence / 71 \\
3.2.1. Slowly Converging Alternating Series / 71 \\
3.2.2. Slowly Converging Series with Positive Terms /
73 \\
3.2.3. Other Simple Ways to Accelerate Convergence / 74
\\
3.2.4. Ill-Conditioned Series / 75 \\
3.2.5. Numerical Use of Divergent Series / 77 \\
4: Approximation of Functions / 81 \\
4.1. Basic Concepts in Approximation / 81 \\
4.1.1. Introduction / 81 \\
4.1.2. The Idea of a Function Space / 84 \\
4.1.3. Norms and Seminorms / 85 \\
4.1.4. Approximation of Functions as a Geometric
Problem in Function Space / 87 \\
4.2. The Approximation of Functions by the Method of
Least Squares / 88 \\
4.2.t. Statement of the Problems / 88 \\
4.2.2. Orthogonal Systems / 89 \\
4.2.3. Solution of the Approximation Problem / 92 \\
4.3. Polynomials / 97 \\
4.3.1. Basic Terminology; the Weierstrass Approximation
Theorem / 97 \\
4.3.2. Triangle Families of Polynomials / 98 \\
4.3.3. A Triangle Family and Its Application to
Interpolation / 99 \\
4.3.4. Equidistant Interpolation and the Runge
Phenomenon / 101 \\
4.4. Orthogonal Polynomials and Applications / 104 \\
4.4.1. Tchebycheff Polynomials / 104 \\
4.4.2. Tchebycheff Interpolation and Smoothing / 106
\\
4.4.3. General Theory of Orthogonal Polynomials / 108
\\
4.4.4. Legendre Polynomials and Gram Polynomials / 113
\\
4.5. Complementary Observations on Polynomial
Approximation / 117 \\
4.5.1. Summary of the Use of Polynomials / 117 \\
4.5.2. Some Inequalities for $E_n(f)$ with Applications
to the Computation of Linear Functionals / 120 \\
4.5.3. Approximation in the Maximum Norm / 124 \\
4.5.4. Economization of Power Series; Standard
Functions / 125 \\
4.5.5. Some Statistical Aspects of the Method of Least
Squares / 126 \\
4.6. Spline Functions / 131 \\
5: Numerical Linear Algebra / 137 \\
5,1. Introduction / 137 \\
5.2. Basic Concepts of Linear Algebra / 138 \\
5.2.1. Fundamental Definitions / 138 \\
5.2.2. Partitioned Matrices / 140 \\
5.2.3. Linear Vector Spaces / 141 \\
5.2.4. Eigenvalues and Similarity Transformations / 142
\\
5.2.5. Singular-Value Decomposition and Pseudo-Inverse
/ 143 \\
5.3. Direct Methods for Solving Systems of Linear
Equations / 146 \\
5.3.1. Triangular Systems / 146 \\
5.3.2. Gaussian Elimination / 147 \\
5.3.3. Pivoting Strategies / 150 \\
5.3.4. $L U$-Decomposition / 152 \\
5.3.5. Compact Schemes for Gaussian Elimination / 157
\\
5.3.6. Inverse Matrices / 159 \\
5.4. Special Matrices / 162 \\
5.4.1. Symmetric Positive-Definite Matrices / 162 \\
5.4.2. Band Matrices / 165 \\
5.4.3. Large-Scale Linear Systems / 168 \\
5.4.4. Other Sparse Matrices / 169 \\
5.5. Error Analysis for Linear Systems / 174 \\
5.5.1. An Ill-Conditioned Example / 174 \\
5.5.2. Vector and Matrix Norms / 175 \\
5.5.3. Perturbation Analysis / 176 \\
5.5.4. Rounding Errors in Gaussian Elimination / 177
\\
5.5.5. Scaling of Linear Systems / 181 \\
5.5.6. Iterative Improvement of a Solution / 183 \\
5.6. Iterative Methods / 188 \\
5.7. Overdetermined Linear Systems / 196 \\
5.7.1. The Normal Equations / 197 \\
5.7.2. Orthogonalization Methods / 201 \\
5.7.3. Improvement of Least-Squares Solutions / 204 \\
5.7.4. Least-Squares Problems with Linear Constraints /
205 \\
5.8. Computation of Eigenvalues and Eigenvectors / 208
\\
5.8.1. The Power Method / 209 \\
5.8.2. Methods Based on Similarity Transformations /
211 \\
5.8.3. Eigenvalues by Equation Solving / 215 \\
5.8.4. The $Q R$-Algorithm / 216 \\
6: Nonlinear Equations / 218 \\
6.1. Introduction / 218 \\
6.2. Initial Approximations; Starting Methods / 219 \\
6.2.1. Introduction / 219 \\
6.2.2. The Bisection Method / 220 \\
6.3. Newton--Raphson's Method / 222 \\
6.4. The Secant Method / 227 \\
6.4.1. Description of the Method / 227 \\
6.4.2. Error Analysis for the Secant Method / 228 \\
6.4.3. Regula Falsi / 230 \\
6.4.4. Other Related Methods / 230 \\
6.5. General Theory of Iteration Methods / 233 \\
6.6. Error Estimation and Attainable Accuracy in
Iteration Methods / 238 \\
6.6.1. Error Estimation / 238 \\
6.6.2. Attainable Accuracy; Termination Criteria / 240
\\
6.7. Multiple Roots / 242 \\
6.8. Algebraic Equations / 243 \\
6.8.1. Introduction / 243 \\
6.8.2. Deflation / 245 \\
6.8.3. Ill-Conditioned Algebraic Equations / 246 \\
6.9. Systems of Nonlinear Equations / 248 \\
6.9.1. Iteration / 249 \\
6.9.2. Newton--Raphson's Method and Some Modifications
/ 249 \\
6.9.3. Other Methods / 251 \\
7: Finite Differences with Applications to Numerical
Integration, Differentiation, and Interpolation / 255
\\
7.1. Difference Operators and Their Simplest Properties
/ 255 \\
7.2. Simple Methods for Deriving Approximation Formulas
and Error Estimates / 263 \\
7.2.1. Statement of the Problems and Some Typical
Examples / 263 \\
7.2.2, Repeated Richardson Extrapolation / 269 \\
7.3. Interpolation / 275 \\
7.3.1. Introduction / 275 \\
7.3.2. When is Linear Interpolation Sufficient? / 276
\\
7.3.3. Newton's General Interpolation Formula / 277 \\
7.3.4. Formulas for Equidistant Interpolation / 279 \\
7.3.5. Complementary Remarks on Interpolation / 282 \\
7.3.6. Lagrange's Interpolation Formula / 284 \\
7.3.7. Hermite Interpolation / 285 \\
7.3.8. Inverse Interpolation / 286 \\
7.4. Numerical Integration / 290 \\
7.4.1. The Rectangle Rule, Trapezoidal Rule, and
Romberg's Method / 291 \\
7.4.2. The Truncation Error of the Trapezoidal Rule /
293 \\
7.4.3. Some Difficulties and Possibilities in Numerical
Integration / 294 \\
7.4.4. The Euler--Maclaurin Summation Formula / 297 \\
7.4.5. Uses of the Euler--Maclaurin Formula / 300 \\
7.4.6. Other Methods for Numerical Integration / 302
\\
7.5. Numerical Differentiation / 307 \\
7.6. The Calculus of Operators / 311 \\
7.6.1. Operator Algebra / 311 \\
7.6.2. Operator Series with Applications / 312 \\
7.7. Functions of Several Variables / 318 \\
7.7.1. Working with One Variable at a Time / 319 \\
7.7.2. Rectangular Grids / 319 \\
7.7.3. Irregular Triangular Grids / 322 \\
8: Differential Equations / 330 \\
8.1. Theoretical Background / 330 \\
8.1.1. Initial-Value Problems for Ordinary Differential
Equations / 330 \\
8.1.2. Error Propagation / 333 \\
8.1.3. Other Differential Equation Problems / 337 \\
8.2. Euler's Method, with Repeated Richardson
Extrapolation / 338 \\
8.3. Other Methods for Initial-Value Problems in
Ordinary Differential Equations / 342 \\
8.3.1. The Modified Midpoint Method / 342 \\
8.3.2. The Power-Series Method / 345 \\
8.3.3. Runge--Kutta Methods / 346 \\
8.3.4. Implicit Methods / 347 \\
8.3.5. Stiff Problems / 349 \\
8.3.6. Control of Step Size / 350 \\
8.3.7. A Finite-Difference Method for a Second-Order
Equation / 352 \\
8.4. Orientation on Boundary and Eigenvalue Problems
for Ordinary Differential Equations / 359 \\
8.4.1. Introduction / 359 \\
8.4.2. The Shooting Method / 359 \\
8.4.3. The Band Matrix Method / 361 \\
8.4.4. Numerical Example of an Eigenvalue Problem / 363
\\
8.5. Difference Equations / 367 \\
8.5.1. Homogeneous Linear Difference Equations with
Constant Coefficients / 368 \\
8.5.2. General Linear Difference Equations / 370 \\
8.5.3. Analysis of a Numerical Method with the Help of
a Test Problem / 372 \\
8.5.4. Linear Multistep Methods / 375 \\
8.6. Partial Differential Equations / 383 \\
8.6.1. Introduction / 383 \\
8.6.2. An Example of an Initial-Value Problem / 384 \\
8.6.3. An Example of a Boundary-Value Problem / 389 \\
8.6.4. Methods of Undetermined Coefficients and
Variational Methods / 392 \\
8.6.5. Finite-Element Methods / 395 \\
8.6.6. Integral Equations / 397 \\
9: Fourier Methods / 405 \\
9.1. Introduction / 405 \\
9.2. Basic Formulas and Theorems in Fourier Analysis /
406 \\
9.2.1. Functions of One Variable / 406 \\
9.2.2. Functions of Several Variables / 411 \\
9.3. Fast Fourier Analysis / 413 \\
9.3.1. An Important Special Case / 413 \\
9.3.2. Fast Fourier Analysis, General Case / 414 \\
9.4. Periodic Continuation of a Nonperiodic Function /
417 \\
9.5. The Fourier Integral Theorem / 419 \\
10: Optimization / 422 \\
10.1. Statement of the Problem, Definitions, and Normal
Form / 422 \\
10.2. The Simplex Method / 426 \\
10.3. Duality / 435 \\
10.4. The Transportation Problem and Some Other
Optimization Problems / 436 \\
10.5. Nonlinear Optimization Problems / 438 \\
10.5.1. Basic Concepts and Introductory Examples / 438
\\
10.5.2. Line Search / 440 \\
10.5.3. Algorithms for Unconstrained Optimization / 441
\\
10.5.4. Overdetermined Nonlinear Systems / 443 \\
10.5.5. Constrained Optimization / 444 \\
11: The Monte Carlo Method and Simulation / 448 \\
11.1. Introduction / 448 \\
11.2. Random Digits and Random Numbers / 449 \\
11.3. Applications; Reduction of Variance / 455 \\
11.4. Pseudorandom Numbers / 463 \\
12: Solutions to Problems / 465 \\
13: Bibliography and Published Algorithms / 536 \\
13.1. Introduction / 536 \\
13.2. General Literature in Numerical Analysis / 536
\\
13.3. Tables, Collections of Formulas, and Problems /
539 \\
13.4. Error Analysis and Approximation of Functions /
540 \\
13.5. Linear Algebra and Nonlinear Systems of Equations
/ 541 \\
13.6. Interpolation, Numerical Integration, and
Numerical Treatment of Differential Equations / 543 \\
13.7. Optimization; Simulation / 545 \\
13.8. Reviews, Abstracts and Other Periodicals / 547
\\
13.9. Survey of Published Algorithms / 548 \\
Index by Subject to Algorithms, 1960--1970 / 548 \\
Appendix Tables / 563 \\
Index / 565",
}
@TechReport{Dieter:1974:URN,
author = "Ulrich Dieter and Joachim H. Ahrens",
title = "Uniform random numbers",
type = "Report",
institution = "Institut f{\"u}r Mathematische Statistik, Technische
Hochschule Graz",
address = "Graz, Austria",
year = "1974",
bibdate = "Tue Jan 10 15:38:07 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Eggarter:1974:CRL,
author = "T. P. Eggarter",
title = "On a complex representation of {Lorentzian} random
variables",
journal = j-J-MATH-PHYS,
volume = "15",
number = "1",
pages = "7--8",
month = jan,
year = "1974",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1666507",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:40:08 MDT 2011",
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URL = "http://jmp.aip.org/resource/1/jmapaq/v15/i1/p7_s1",
acknowledgement = ack-nhfb,
classification = "A0540 (Fluctuation phenomena, random processes, and
Brownian motion); A0550 (Lattice theory and statistics;
Ising problems)",
corpsource = "Univ. Paris-Sud, Orsay, France",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "complex representation; lattice theory and statistics;
Lorentzian random variables; random processes; theory
of disordered materials",
onlinedate = "4 November 2003",
pagecount = "2",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Good:1974:RTA,
author = "Irving John Good",
title = "Random Thoughts about Randomness",
crossref = "Schaffner:1974:PPB",
chapter = "9",
volume = "20",
pages = "117--135",
year = "1974",
DOI = "https://doi.org/10.1007/978-94-010-2140-1_9",
ISBN = "90-277-0408-2, 90-277-0409-0 (paperback)",
ISBN-13 = "978-90-277-0408-5, 978-90-277-0409-2 (paperback)",
LCCN = "Q175 .B7312",
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note = "Invited lecture in the symposium on the Concept of
Randomness, dedicated to the memory of L. J. Savage, in
the Biennial Meeting of the Philosophy of Science
Association, Olds Plaza Hotel, Lansing, Michigan,
October 27--29, 1972.",
series = ser-BOSTON-STUD-PHILOS-SCI,
URL = "https://link.springer.com/chapter/10.1007/978-94-010-2140-1_9",
acknowledgement = ack-nhfb,
}
@InProceedings{Greenwood:1974:FGG,
author = "A. J. Greenwood",
editor = "G. Bruckman and F. Ferschl and L. Schmetterer",
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title = "A Fast Generator for {Gamma}-distributed Random
Variables",
publisher = "Physica-Verlag",
address = "Vienna, Austria",
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pages = "17--27",
year = "1974",
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@Article{Handelsman:1974:AEL,
author = "Richard A. Handelsman and John S. Lew",
title = "Asymptotic Expansion of {Laplace} Convolutions for
Large Argument and Tail Densities for Certain Sums of
Random Variables",
journal = j-SIAM-J-MATH-ANA,
volume = "5",
number = "3",
pages = "425--451",
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journal-URL = "http://epubs.siam.org/sima",
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@Article{Harada:1974:OMS,
author = "N. Harada",
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random number generators",
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pages = "120--126",
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author = "J. Hoffmann-J{\o}rgensen",
title = "Sums of independent {Banach} space valued random
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journal = j-STUDIA-MATH,
volume = "52",
pages = "159--186",
year = "1974",
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author = "John H. Holland",
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of Trials",
journal = j-SIAM-J-COMPUT,
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number = "4",
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year = "1974",
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journal-URL = "http://epubs.siam.org/sicomp",
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author = "T. T. Kadota",
title = "On the Information Stability of Stationary Ergodic
Processes",
journal = j-SIAM-J-APPL-MATH,
volume = "26",
number = "1",
pages = "176--182",
month = jan,
year = "1974",
CODEN = "SMJMAP",
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acknowledgement = ack-nhfb,
classification = "B0240 (Probability and statistics); C1140
(Probability and statistics)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
keywords = "conditional information; continuous parameter
stochastic processes; information density; information
stability; random variables; stationary ergodic
processes; statistical analysis; stochastic processes",
treatment = "T Theoretical or Mathematical",
}
@Article{Kedem:1974:TGL,
author = "Gershon Kedem and S. K. Zaremba",
title = "A table of good lattice points in three dimensions",
journal = j-NUM-MATH,
volume = "23",
number = "2",
pages = "175--180",
month = apr,
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corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "good lattice points; integration; numerical
computation; table; three dimensional lattice points;
three dimensions; triple integrals",
treatment = "T Theoretical or Mathematical",
}
@Book{Kuipers:1974:UDS,
author = "Lauwerens Kuipers and Harald Niederreiter",
title = "Uniform distribution of sequences",
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address = pub-WILEY:adr,
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acknowledgement = ack-nhfb,
remark = "``A Wiley-Interscience publication.''.",
subject = "Sequences (Mathematics); Uniform distribution
(Probability theory)",
}
@Article{Lunow:1974:GRN,
author = "W. L{\"u}now",
title = "On the Generation of Random Numbers with at Choice
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journal = j-COMPUTING,
volume = "13",
number = "1",
pages = "21--31",
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affiliation = "Fachhochschule Weisbaden, Russelsheim, West Germany",
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description = "random number generation; random processes",
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journal-URL = "http://link.springer.com/journal/607",
journalabr = "Comput (Vienna/NY)",
keywords = "computer; cycle free sequences; generation of random
numbers; mathematical statistics; programming;
radioactive decay of nuclei; random process; specified
statistical distribution; theory; truly random
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@Article{Marsaglia:1974:APRa,
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60F99 Limit theorems (probability)",
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@Article{Marsaglia:1974:APRb,
author = "George Marsaglia",
title = "Acknowledgement of priority to: {``Random variables
with independent binary digits'' (Ann. Math. Statist.
{\bf 42} (1971), 1922--1929)}",
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number = "4",
pages = "848--848",
year = "1974",
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60F99 Limit theorems (probability)",
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pages = "??--??",
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pagecount = "11",
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author = "Harald Niederreiter",
title = "On the distribution of pseudo-random numbers generated
by the linear congruential method. {II}",
journal = j-MATH-COMPUT,
volume = "28",
number = "128",
pages = "1117--1132",
month = oct,
year = "1974",
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differentiation); C1110 (Algebra); C4160 (Numerical
integration and differentiation); C7890 (Other special
applications of computing)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "integration; linear congruential method; number
theory; pseudorandom numbers; random number
generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Odeh:1974:PPN,
author = "R. E. Odeh and J. O. Evans",
title = "The Percentage Points of the Normal Distribution",
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volume = "23",
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}
@Article{Page:1974:RAG,
author = "R. L. Page",
title = "Remark on ``{Algorithm 425}: Generation of Random
Correlated Normal Variables''",
journal = j-CACM,
volume = "17",
number = "6",
pages = "325--325",
month = jun,
year = "1974",
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ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:11:02 MST 2001",
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acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Colorado State Univ., Fort Collins, CO, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "algorithm; array parameters; random correlated normal
variables; random number generation; revises; work",
oldlabel = "Page74a",
treatment = "G General Review; P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Page74a",
}
@Article{Pollard:1974:TFP,
author = "J. Pollard",
title = "Theorems on factorization and primality testing",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "76",
pages = "521--528",
year = "1974",
CODEN = "PCPSA4",
ISSN = "0008-1981",
bibdate = "Fri Nov 20 15:54:39 MST 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Cambridge Philosophical Society.
Mathematical and physical sciences",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
referencedin = "Referenced in \cite[Ref. 18]{Kaliski:1995:SUR}.",
}
@Article{Poole:1974:EDF,
author = "W. Kenneth Poole",
title = "Estimation of the distribution function of a
continuous type random variable through randomized
response",
journal = j-J-AM-STAT-ASSOC,
volume = "69",
number = "348",
pages = "1002--1005",
month = dec,
year = "1974",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon May 5 08:32:38 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2286179",
acknowledgement = ack-nhfb,
classification = "B0240 (Probability and statistics); C1140
(Probability and statistics)",
corpsource = "Statistical Methodology Dept., Res. Triangle Inst.,
Res. Triangle Park, NC, USA",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
keywords = "data files; distribution function; estimation theory;
income distribution; random processes; random variable;
randomized response; sample; statistical analysis",
treatment = "T Theoretical or Mathematical",
}
@Article{Rabinowitz:1974:CVM,
author = "M. Rabinowitz and M. L. Berenson",
title = "A Comparison of Various Methods of Obtaining Random
Order Statistics for {Monte Carlo} Computations",
journal = j-AMER-STAT,
volume = "28",
number = "1",
pages = "27--29",
month = feb,
year = "1974",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:20 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326381;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2683528",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Ramberg:1974:AGG,
author = "John S. Ramberg and P. R. Tadikamalla",
title = "An algorithm for generating gamma variates based on
the {Weibull} distribution",
journal = "AIIE Transactions",
volume = "6",
number = "3",
pages = "257--260",
month = "????",
year = "1974",
bibdate = "Tue Nov 29 08:27:29 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Ramberg:1974:AMG,
author = "John S. Ramberg and Bruce W. Schmeiser",
title = "An Approximate Method for Generating Asymmetric Random
Variables",
journal = j-CACM,
volume = "17",
number = "2",
pages = "78--82",
month = feb,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65C10",
MRnumber = "48 10043",
MRreviewer = "J. Spanier",
bibdate = "Mon Jan 22 07:14:56 MST 2001",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1974.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#RambergS74;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Tukey's lambda distribution is generalized to provide
an algorithm for generating values of unimodal
asymmetric random variables. This algorithm has the
same advantages as the symmetric random variable
generator previously given by the authors, except that
the addition of another parameter complicates the
problem of finding the parameter values to fit a
distribution.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "723; 922",
corpsource = "Univ. Iowa, IA, USA",
country = "USA",
descriptors = "RNG; RVG",
enum = "2505",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "approximate method; approximations; computer
programming --- Subroutines; distribution; generating
asymmetric random variables; mathematical statistics;
moments; Monte Carlo; Monte Carlo methods; probability;
random number generation; random numbers; random
variables; simulation; statistics; Tukey's lambda
distribution; unimodal asymmetric random; variables",
oldlabel = "RambergS74",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/RambergS74",
}
@InProceedings{Salfi:1974:LPR,
author = "R. Salfi",
editor = "Gerhart Bruckmann and Franz Ferschl and Leopold
Schmetterer",
booktitle = "{Compstat 1974: Proceedings of a Symposium on
Computational Statistics, University of Vienna, 1974}",
title = "A long-period random number generator with application
to permutations",
publisher = pub-PHYSICA-VERLAG,
address = pub-PHYSICA-VERLAG:adr,
bookpages = "539",
pages = "28--35",
year = "1974",
MRclass = "62-06 (65-06)",
MRnumber = "0345251 (49 \#9990)",
bibdate = "Thu Jan 19 08:15:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Santos:1974:QFS,
author = "Emilio Santos",
title = "Quantumlike formulation of stochastic problems",
journal = j-J-MATH-PHYS,
volume = "15",
number = "11",
pages = "1954--1962",
month = nov,
year = "1974",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1666564",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:40:18 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v15/i11/p1954_s1",
acknowledgement = ack-nhfb,
classification = "A0250 (Probability theory, stochastic processes, and
statistics); A0365 (Quantum theory; A0540 (Fluctuation
phenomena, random processes, and Brownian motion);
quantum mechanics)",
corpsource = "Univ. Valladolid, Spain",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "Abelian C* algebras; algebra; Brownian motion;
electrodynamics; quantum theory; quantumlike
formulation; random variables; stochastic
electrodynamics; stochastic problems; stochastic
processes",
onlinedate = "4 November 2003",
pagecount = "9",
treatment = "T Theoretical or Mathematical",
}
@Article{Sato:1974:PCP,
author = "Masahiko Sato",
title = "On the periods of certain pseudorandom sequences",
journal = "Publ. Res. Inst. Math. Sci.",
volume = "10",
number = "1",
pages = "77--89",
year = "1974--1975",
ISSN = "0034-5318",
MRclass = "65C10",
MRnumber = "0381232 (52 \#2129)",
MRreviewer = "H. Gupta",
bibdate = "Thu Jan 19 08:17:25 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Kyoto University. Research Institute for Mathematical
Sciences. Publications",
}
@Article{Saunders:1974:FRV,
author = "Sam C. Saunders",
title = "A Family of Random Variables Closed Under
Reciprocation",
journal = j-J-AM-STAT-ASSOC,
volume = "69",
number = "346",
pages = "533--539",
month = jun,
year = "1974",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:46 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314228;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2285692",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Scherpenissea:1974:PRN,
author = "J. Scherpenissea",
title = "A pseudo random number generator",
journal = j-INTERFACE,
volume = "3",
number = "2",
pages = "187--190",
month = "????",
year = "1974",
CODEN = "IFCEBC",
DOI = "https://doi.org/10.1080/09298217408570196",
ISSN = "0929-8215 (print), 1744-5027 (electronic)",
ISSN-L = "0929-8215",
bibdate = "Thu Mar 15 17:07:21 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Interface",
onlinedate = "03 Jun 2008",
}
@Article{Schorr:1974:PLV,
author = "B. Schorr",
title = "Programs for the {Landau} and the {Vavilov}
distributions and the corresponding random numbers",
journal = j-COMP-PHYS-COMM,
volume = "7",
number = "4",
pages = "215--224",
month = apr,
year = "1974",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(74)90091-5",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sun Feb 12 14:24:32 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465574900915",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Sobol:1974:PNC,
author = "I. M. Sobol'",
title = "Pseudorandom numbers for the construction of discrete
{Markov} chains by a {Monte Carlo} method",
journal = "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.",
volume = "14",
pages = "36--44, 266",
year = "1974",
ISSN = "0044-4669",
MRclass = "65C05",
MRnumber = "0339444 (49 \#4203)",
MRreviewer = "V. Dupac",
bibdate = "Thu Jan 19 08:25:20 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Akademija Nauk SSSR. {\v{Z}}urnal
Vy{\v{c}}islitel\cprime no{\u\i} Matematiki i
Matemati{\v{c}}esko{\u\i} Fiziki",
}
@Article{Walker:1974:FGU,
author = "A. J. Walker",
title = "Fast generation of uniformly distributed pseudorandom
numbers with floating-point representation",
journal = j-ELECT-LETTERS,
volume = "10",
number = "25--26",
pages = "533--534",
day = "12",
month = dec,
year = "1974",
CODEN = "ELLEAK",
DOI = "https://doi.org/10.1049/el:19740423",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Fri Dec 30 16:39:46 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4245313",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
fjournal = "Electronics Letters",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
}
@Article{Walker:1974:NFM,
author = "A. J. Walker",
title = "New fast method for generating discrete random numbers
with arbitrary frequency distributions",
journal = j-ELECT-LETTERS,
volume = "10",
number = "8",
pages = "127--128",
day = "18",
month = apr,
year = "1974",
CODEN = "ELLEAK",
DOI = "https://doi.org/10.1049/el:19740097",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Fri Dec 30 16:39:35 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4245054",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
fjournal = "Electronics Letters",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
}
@Article{Wallace:1974:CGG,
author = "N. D. Wallace",
title = "Computer Generation of Gamma Random Variates with
Non-Integral Shape Parameters",
journal = j-CACM,
volume = "17",
number = "12",
pages = "691--695",
month = dec,
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65C10",
MRnumber = "51 11920",
MRreviewer = "R. R. Coveyou",
bibdate = "Mon Jan 22 07:27:57 MST 2001",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Wallace74;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "When the shape parameter, alpha, is integral,
generating gamma random variables with a digital
computer is straightforward. There is no simple method
for generating gamma random variates with non-integral
shape parameters. A common procedure is to
approximately generate such random variables by the use
of the so-called probability switch method. Another
procedure, which is exact, is due to Joehnk. This paper
presents a rejection method for exactly generating
gamma random variables when alpha is greater than 1.
The efficiency of the rejection method is shown to be
better than the efficiency of M. D. Joehnk's method.
The paper concludes that when alpha is non-integral,
the following mix of procedures yields the best
combination of accuracy and efficiency: (1) when alpha
is less than 1, use Joehnk's method; (2) when 1 is less
than alpha and alpha is less than 5, use the rejection
method; (3) when alpha is greater than 5, use the
probability switch method.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "922",
corpsource = "Southern Illinois Univ., Edwardsville, IL, USA",
country = "USA",
descriptors = "RVG",
enum = "8007",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "computer generation; gamma random variables;
probability; probability distribution; random number
generation; random numbers; simulation",
location = "SEL: Wi",
oldlabel = "Wallace74",
references = "0",
revision = "16/01/94",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wallace74",
}
@Article{Whittaker:1974:MGG,
author = "J. Whittaker",
title = "Miscellanea: Generating gamma and beta random
variables with non-integral shape parameters",
journal = j-APPL-STAT,
volume = "23",
number = "2",
pages = "210--214",
year = "1974",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:04 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Univ. Lancaster, UK",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "beta distribution; gamma distribution; probability;
pseudo random numbers; random number generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Akeda:1975:NTP,
author = "Y. Akeda and M. Hori",
title = "Numerical test of {Pal{\'a}sti}'s conjecture on
two-dimensional random packing density",
journal = j-NATURE,
volume = "254",
number = "5498",
pages = "318--319",
day = "27",
month = mar,
year = "1975",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/254318a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Wed Feb 29 21:19:24 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/kepler.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.nature.com/nature/journal/v254/n5498/pdf/254318a0.pdf",
abstract = "Random packing and random space-filling problems have
received frequent attention. In one dimension, this
topic is usually called the car-parking problem.
Pal{\'a}sti generalised the parking problem to two
dimensions and conjectured that the random packing
density in the two-dimensional case is equal to the
square of that in the one-dimensional case. Here we
provide a thorough check on her conjecture and confirm
its validity.",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
keywords = "parking-lot test; sphere packing",
}
@Article{Beuerman:1975:LDS,
author = "D. R. Beuerman",
title = "Limit distributions for sums of weighted random
variables",
journal = j-CAN-MATH-BULL,
volume = "18",
number = "??",
pages = "291--294",
month = "????",
year = "1975",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1975-055-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:25 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v18/;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Brooker:1975:SAA,
author = "P. Brooker and M. J. P. Selby",
title = "Statistical Algorithms: {Algorithm AS 92}: The Sample
Size for a Distribution-Free Tolerance Interval",
journal = j-APPL-STAT,
volume = "24",
number = "3",
pages = "388--390",
month = sep,
year = "1975",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:24 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://lib.stat.cmu.edu/apstat/92",
acknowledgement = ack-nhfb,
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics); C7310 (Mathematics computing)",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "algorithm; distribution free tolerance interval;
FORTRAN; identically distributed random variables;
probability; sample size",
treatment = "T Theoretical or Mathematical",
}
@Article{Chaitin:1975:RMP,
author = "G. J. Chaitin",
title = "Randomness and mathematical proof",
journal = j-SCI-AMER,
volume = "232",
number = "??",
pages = "47--52",
month = "????",
year = "1975",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Fri Jan 6 10:24:43 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Chay:1975:MUB,
author = "S. C. Chay and R. D. Fardo and M. Mazumdar",
title = "Miscellanea: On using the {Box--Muller} transformation
with multiplicative congruential pseudo-random number
generators",
journal = j-APPL-STAT,
volume = "24",
number = "1",
pages = "132--135",
year = "1975",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:19 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://www.jstor.org/stable/pdfplus/2346711.pdf",
acknowledgement = ack-nhfb,
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics)",
corpsource = "Westinghouse Res. Labs., Pittsburgh, PA, USA",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "analysis; Box--Muller's formula; congruential
pseudorandom number generators; multiplicative; random
normal deviates; random number generation; random
processes; statistical",
treatment = "T Theoretical or Mathematical",
}
@Article{Dieter:1975:HCS,
author = "Ulrich Dieter",
title = "How to Calculate Shortest Vectors in a Lattice",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "827--833",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290H (Linear
algebra); C1180 (Optimisation techniques); C4140
(Linear algebra)",
corpsource = "Inst. Math. Statistik, Tech. Hochschule Graz, Graz,
Austria",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Coveyou; dual lattice; MacPherson algorithm;
optimisation; shortest vector calculation; vectors",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Dudewicz:1975:RNN,
author = "E. J. Dudewicz",
booktitle = "Statistical Distributions in Scientific Work",
title = "Random Numbers: The Need, the History, the
Generators",
crossref = "Patil:1975:MCS",
volume = "2",
pages = "??--??",
year = "1975",
bibdate = "Thu Jan 05 12:31:11 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Reprinted in \cite{Dudewicz:1985:TMD}.",
acknowledgement = ack-nhfb,
}
@TechReport{Fellows:1975:CGF,
author = "David Michael Fellows",
title = "Comments on ``{A general Fortran emulator for IBM
360\slash 370 random number generator `RANDU'}''",
type = "Technical report",
number = "6",
institution = "School of Computer Science, University of New
Brunswick",
address = "Fredericton, NB, Canada",
pages = "b + [4]",
year = "1975",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Bibliography: leaf 6.",
keywords = "Fortran (Computer program language); IBM 360
(Computer) --- Programming; IBM 370 (Computer) ---
Programming",
}
@Article{Franta:1975:NRV,
author = "W. R. Franta",
title = "A Note on Random Variate Generators and Antithetic
Sampling",
journal = j-INFOR,
volume = "13",
number = "??",
pages = "112--117",
month = "????",
year = "1975",
CODEN = "INFRCL",
ISSN = "0315-5986",
bibdate = "Thu Jan 05 17:35:45 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "INFOR",
}
@Article{Fredericsson:1975:PPB,
author = "S. A. Fredericsson",
title = "Pseudorandomness properties of binary shift register
sequences",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "IT-21",
number = "1",
pages = "115--120",
month = jan,
year = "1975",
CODEN = "IETTAW",
DOI = "https://doi.org/10.1109/TIT.1975.1055310",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Mon Jan 16 21:54:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
}
@Article{Frigerio:1975:RNS,
author = "N. A. Frigerio and N. A. Clark",
title = "A random number set for {Monte Carlo} computations",
journal = j-TRANS-AM-NUCL-SOC,
volume = "22",
number = "??",
pages = "283--284",
month = "????",
year = "1975",
CODEN = "TANSAO",
ISSN = "0003-018X",
bibdate = "Mon Jan 16 11:01:56 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=4072437",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Nuclear Society",
keywords = "true random numbers from physical sources",
}
@Article{Gibbons:1975:VIM,
author = "Jean D. Gibbons and John W. Pratt",
title = "{$P$}-Values: Interpretation and Methodology",
journal = j-AMER-STAT,
volume = "29",
number = "1",
pages = "20--25",
month = feb,
year = "1975",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:20 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326385;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2683674",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Harville:1975:ERW,
author = "David A. Harville",
title = "Experimental Randomization: Who Needs It?",
journal = j-AMER-STAT,
volume = "29",
number = "1",
pages = "27--31",
month = feb,
year = "1975",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:20 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326385;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2683676",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@TechReport{Kedem:1975:SGL,
author = "G. Kedem",
title = "The search for good lattice points in {$N$}
dimensions",
type = "Technical Report",
number = "1570",
institution = "Mathematics Research Center",
address = "Madison, WI, USA",
year = "1975",
bibdate = "Thu Jan 19 07:01:31 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Kemperman:1975:BDM,
author = "J. H. B. Kemperman",
title = "Bounds on the discrepancy modulo $1$ of a real random
variable",
journal = j-BULL-INST-MATH-STAT,
volume = "4",
number = "??",
pages = "138--??",
month = "????",
year = "1975",
CODEN = "SMBCVA",
ISSN = "0146-3942",
bibdate = "Sat Nov 12 16:26:37 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Abstract no. 75t-47.",
acknowledgement = ack-nhfb,
fjournal = "Bulletin --- Institute of Mathematical Statistics",
}
@Article{Kleijnen:1975:AVC,
author = "Jack P. C. Kleijnen",
title = "Antithetic Variates, {Common Random Numbers} and
Optimal Computer Time Allocation in Simulation",
journal = j-MANAGEMENT-SCIENCE,
volume = "21",
number = "10",
pages = "1176--1185",
month = jun,
year = "1975",
CODEN = "MSCIAM",
DOI = "https://doi.org/10.1287/mnsc.21.10.1176",
ISSN = "0025-1909 (print), 1526-5501 (electronic)",
ISSN-L = "0025-1909",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Management Science",
journal-URL = "http://pubsonline.informs.org/loi/mnsc",
keywords = "Common Random Numbers (CRN)",
}
@Article{Levin:1975:UDSa,
author = "M. B. Levin",
title = "On the uniform distribution of the sequence $ \alpha
\lambda $",
journal = "Mat. Sb. (N.S.)",
volume = "98",
number = "??",
pages = "??--??",
month = "????",
year = "1975",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 19 07:04:59 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
xxnote = "Check title??",
}
@Article{Levin:1975:UDSb,
author = "M. B. Levin",
title = "On the uniform distribution of the sequence $ \alpha
\lambda $",
journal = "Math. USSR-Sb.",
volume = "27",
number = "??",
pages = "183--197",
month = "????",
year = "1975",
CODEN = "????",
ISSN = "????",
MRnumber = "MR 406947",
bibdate = "Thu Jan 19 07:04:59 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "Zbl 0357.10020",
acknowledgement = ack-nhfb,
language = "Russian",
xxnote = "Check title??",
}
@Article{Malcolm:1975:LVG,
author = "Michael A. Malcolm and R. Bruce Simpson",
title = "Local Versus Global Strategies for Adaptive
Quadrature",
journal = j-TOMS,
volume = "1",
number = "2",
pages = "129--146",
month = jun,
year = "1975",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355637.355640",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D30",
MRnumber = "51 #7248",
bibdate = "Fri Aug 26 23:44:16 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
reviewer = "Thomas A. Atchison",
}
@TechReport{MendesFrance:1975:SNA,
author = "Michel {Mend{\`e}s France}",
title = "Suites de nombres au hasard, d'apr{\`e}s {Knuth}.
({French}) [{Sequences} of random numbers]",
institution = "Lab. Th{\'e}orie des Nombres, Centre Nat. Recherche
Sci.",
address = "Talence, France",
pages = "11",
year = "1975",
MRclass = "65C05 (10K05)",
MRnumber = "53 #6973",
MRreviewer = "Harald Niederreiter",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
note = "S{\'e}minaire de Th{\'e}orie des Nombres, 1974--1975
(Univ. Bordeaux I, Talence), Exp. No. 6.",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Miyatake:1975:GPR,
author = "O. Miyatake and H. Inoue and Y. Yoshizawa",
title = "Generation of physical random numbers",
journal = j-MATH-JAPON,
volume = "20",
number = "??",
pages = "207--217",
month = "????",
year = "1975",
CODEN = "MAJAA9",
ISSN = "0025-5513",
MRnumber = "MR 405788",
bibdate = "Thu Jan 19 07:20:39 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Japonica",
}
@Article{Monroe:1975:CIT,
author = "James L. Monroe",
title = "Correlation inequalities for two-dimensional vector
spin systems",
journal = j-J-MATH-PHYS,
volume = "16",
number = "9",
pages = "1809--1812",
month = sep,
year = "1975",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.522755",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:27:44 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v16/i9/p1809_s1",
acknowledgement = ack-nhfb,
classification = "A0550 (Lattice theory and statistics; Ising
problems)",
corpsource = "Dept. of Phys., Northwestern Univ., Evanston, IL,
USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "correlation inequalities; Gaussian random variables;
lattice spin systems; lattice theory and statistics;
two dimensional spins; vector spin systems",
onlinedate = "3 September 2008",
pagecount = "4",
treatment = "T Theoretical or Mathematical",
}
@Article{Nance:1975:IFR,
author = "Richard E. Nance and Claude {Overstreet, Jr.}",
title = "Implementation of {Fortran} Random Number Generators
on Computers with One's Complement Arithmetic",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "4",
number = "3",
pages = "235--243",
month = "????",
year = "1975",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657508810126",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Thu Jan 05 10:58:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00949657508810126",
abstract = "Random number generators can be programmed in FORTRAN
using several methods on 1's complement machines. We
have presented several methods for the SRU 1107--1108
and CDC 6000 and CYBER series, the two most popular
that utilize 1's complement arithmetic. We believe the
logical mask method to be the most efficient technique
based on execution time on both machines. This method
requires only a little more than one-half the time of
the signed residue method on the SRU 1107--1108 and a
little more than two thirds the time of the unsigned
residue method on the CDC 6000--CYBER. A fast composite
generator in FORTRAN uses the logical mask method
combined with the FLD function to implement the table
approach of MacLaren and Marsaglia (1965). This
generator proves to be more than twice as fast as a
previous one for the SRU 1108, Marsaglia and Bray
(1968)",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
onlinedate = "20 Mar 2007",
}
@Article{Newman:1975:MIF,
author = "Charles M. Newman",
title = "Moment inequalities for ferromagnetic {Gibbs}
distributions",
journal = j-J-MATH-PHYS,
volume = "16",
number = "9",
pages = "1956--1959",
month = sep,
year = "1975",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.522748",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:27:44 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v16/i9/p1956_s1",
acknowledgement = ack-nhfb,
classification = "A0550 (Lattice theory and statistics; A0570C
(Thermodynamic functions and equations of state); Ising
problems)",
corpsource = "Dept. of Maths., Indiana Univ., Bloomington, IN, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "ferromagnetic Gibbs distributions; ferromagnetic Ising
models; free energy; Ising model; lattice theory and
statistics; moment inequalities; phi/sup 4/ field
models; positive external field; random variable
theory",
onlinedate = "3 September 2008",
pagecount = "4",
treatment = "T Theoretical or Mathematical",
}
@Article{Niederreiter:1975:DDM,
author = "Harald Niederreiter and J. M. Wills",
title = "{Diskrepanz und Distanz von Massen bez{\"u}glich
konvexer und Jordanscher Mengen}. ({German})
[{Discrepancy} with respect to mass and distance of
convex and {Jordan} sets]",
journal = j-MATH-Z,
volume = "144",
number = "??",
pages = "125--134",
month = "????",
year = "1975",
CODEN = "MAZEAX",
ISSN = "0025-5874 (print), 1432-1823 (electronic)",
ISSN-L = "0025-5874",
bibdate = "Thu Jan 19 07:55:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See correction, volume 148, page 99.",
acknowledgement = ack-nhfb,
fjournal = "Mathematische Zeitschrift",
journal-URL = "http://link.springer.com/journal/209",
language = "French",
}
@Article{Niederreiter:1975:QVR,
author = "H. Niederreiter",
title = "Quantitative versions of a result of {Hecke} in the
theory of uniform distribution $ \bmod 1 $",
journal = j-ACTA-ARITHMETICA,
volume = "28",
number = "??",
pages = "321--339",
month = "????",
year = "1975",
CODEN = "AARIA9",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRnumber = "MR 389778",
bibdate = "Thu Jan 19 07:36:28 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
}
@TechReport{Pohl:1975:MFP,
author = "Peter Pohl",
title = "{MCV}: a Fast Pseudo-Random Number Generator with
Extremely Good Statistical Properties",
type = "Report",
number = "??",
institution = "The Royal Institute of Technology, Department of
Information Processing and Computer Science",
address = "Stockholm, Sweden",
pages = "34",
year = "1975",
bibdate = "Thu Mar 08 20:52:59 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Pollard:1975:MCM,
author = "J. M. Pollard",
title = "A {Monte Carlo} Method for Factorization",
journal = j-BIT,
volume = "15",
number = "3",
pages = "331--334",
month = sep,
year = "1975",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933667",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:14 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=15&issue=3;
https://www.math.utah.edu/pub/tex/bib/bit.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=15&issue=3&spage=331",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Rosenblatt:1975:MSS,
author = "M. Rosenblatt",
title = "Multiply Schemes and Shuffling",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "929--934",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics)",
corpsource = "Dept. of Math., Univ. of California, San Diego, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "asymptotic frequencies; linear congruential scheme;
multiply schemes; pseudorandom number generators;
random number generation; random processes; shuffling",
treatment = "T Theoretical or Mathematical",
}
@Article{Schaufele:1975:API,
author = "Ronald A. Schaufele",
title = "An application of pairwise independence of random
variables to regression analysis",
journal = j-CAN-MATH-BULL,
volume = "18",
number = "??",
pages = "397--404",
month = "????",
year = "1975",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1975-073-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:25 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v18/;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Schnurmann:1975:WRT,
author = "H. D. Schnurmann and E. Lindbloom and R. G.
Carpenter",
title = "The Weighted Random Test-Pattern Generator",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-24",
number = "7",
pages = "695--700",
month = jul,
year = "1975",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/T-C.1975.224290",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 07:57:55 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672883",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Shapiro:1975:DAR,
author = "Jesse M. Shapiro",
title = "Domains of Attraction for Reciprocals of Powers of
Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "29",
number = "4",
pages = "734--739",
month = dec,
year = "1975",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classification = "B0240 (Probability and statistics); C1140
(Probability and statistics)",
corpsource = "Dept. of Maths., Ben Gurion Univ. of the Negev, Beer
Sheva, Israel",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
keywords = "Cauchy law; domain of attraction; limit distribution;
norming constants; positive power; probability; random
functions; random variable; reciprocal; sequence;
stable law",
treatment = "T Theoretical or Mathematical",
}
@Article{Stoneham:1975:NRD,
author = "R. G. Stoneham",
title = "Normal recurring decimals, normal periodic systems, $
(j, \epsilon) $ normality and normal numbers",
journal = j-ACTA-ARITHMETICA,
volume = "28",
number = "??",
pages = "349--361",
month = "????",
year = "1975",
CODEN = "AARIA9",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
bibdate = "Tue Feb 07 11:15:56 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
}
@Article{Tadikamalla:1975:AMG,
author = "Pandu R. Tadikamalla and John S. Ramberg",
title = "An approximate method for generating gamma and other
variates",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "3",
number = "3",
pages = "275--282",
year = "1975",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657508810092",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Apr 22 09:10:35 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Wheeler:1975:ASG,
author = "Donald J. Wheeler",
title = "An approximation for simulation of gamma
distributions",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "3",
number = "3",
pages = "225--232",
year = "1975",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657508810088",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Apr 22 09:10:35 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Witsenhausen:1975:SPD,
author = "H. S. Witsenhausen",
title = "On Sequences of Pairs of Dependent Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "28",
number = "1",
pages = "100--113",
month = jan,
year = "1975",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Yao:1975:ASA,
author = "Andrew C. Yao and Donald E. Knuth",
title = "Analysis of the subtractive algorithm for greatest
common divisors",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "72",
number = "12",
pages = "4720--4722",
month = dec,
year = "1975",
CODEN = "PNASA6",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "10A30 (10-04)",
MRnumber = "54 #5102",
MRreviewer = "P. J. Weinberger",
bibdate = "Fri Mar 22 18:03:29 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/search",
}
@Article{Anderson:1976:PRR,
author = "G. C. Anderson and G. T. Roberts",
title = "Pseudo-random and random test signals",
journal = j-HEWLETT-PACKARD-J,
volume = "28",
number = "??",
pages = "??--??",
month = "????",
year = "1976",
CODEN = "HPJOAX",
ISSN = "0018-1153",
bibdate = "Sun May 26 08:24:22 1996",
bibsource = "Distributed/QLD.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
bydate = "Le",
byrev = "Le",
country = "USA",
date = "15/01/88",
descriptors = "RNG; shift register sequences",
enum = "104",
fjournal = "Hewlett-Packard Journal: technical information from
the laboratories of Hewlett-Packard Company",
location = "PKI-OG: Li-Ord.Le",
references = "0",
revision = "21/04/91",
}
@Article{Atkinson:1976:CGB,
author = "A. C. Atkinson and M. C. Pearce",
title = "The Computer Generation of Beta, Gamma, and Normal
Random Variables",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "139",
number = "??",
pages = "431--448",
month = "????",
year = "1976",
CODEN = "JSSAEF",
ISSN = "0035-9238",
bibdate = "Thu Jan 05 10:24:44 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
}
@Article{Atkinson:1976:SAG,
author = "A. C. Atkinson",
title = "A Switching Algorithm for the Generation of Beta
Random Variables with at Least One Parameter Less Than
$1$",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "139",
number = "??",
pages = "462--467",
month = "????",
year = "1976",
CODEN = "JSSAEF",
ISSN = "0035-9238",
bibdate = "Thu Jan 05 10:24:44 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
}
@Article{Bays:1976:IPR,
author = "Carter Bays and S. D. Durham",
title = "Improving a Poor Random Number Generator",
journal = j-TOMS,
volume = "2",
number = "1",
pages = "59--64",
month = mar,
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See also \cite{Learmonth:1973:NPS} for a slightly
different, but inferior, shuffling algorithm, and
\cite{Bays:1990:CIR} for a comparison, both
mathematical, and graphical, of the two algorithms.
Reference [3] for IBM Report GC20-8011-0 is incorrectly
given year 1969; the correct year is 1959.",
URL = "http://doi.acm.org/10.1145/355666.355670",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@Article{Blood:1976:CPR,
author = "F. A. {Blood, Jr.}",
title = "Correlations in power residue generated random
numbers",
journal = j-J-COMPUT-PHYS,
volume = "20",
number = "3",
pages = "372--379",
month = mar,
year = "1976",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(76)90089-9",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:20 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999176900899",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@InProceedings{Brent:1976:ABE,
author = "R. P. Brent",
title = "Analysis of the binary {Euclidean} algorithm",
crossref = "Traub:1976:ACR",
pages = "321--355",
year = "1976",
bibdate = "Thu Dec 29 06:08:17 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "The complexity of the binary Euclidean algorithm for
the greatest common denominator is shown to be $
O(0.705 \lg N) $ for large $ N = \max (|u|, |v|) $. See
\cite{Brent:2000:TYA} for an update, and a repair to an
incorrect conjecture in this paper. See also
\cite{Brent:1999:FAB}, where the worst case complexity
is shown to be $ O(\lg N) $, and the number of right
shifts at most $ 2 \lg (N) $.",
URL = "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.7959",
acknowledgement = ack-nhfb,
}
@Article{Chamayou:1976:DAG,
author = "J. M. F. Chamayou",
title = "On a Direct Algorithm for the Generation of Log-Normal
Pseudo-Random Numbers",
journal = j-COMPUTING,
volume = "16",
number = "1--2",
pages = "69--76",
month = mar,
year = "1976",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:52 MST 2001",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
acknowledgement = ack-nhfb,
affiliation = "Data Handling Div., CERN, Geneva, Switzerland",
classification = "723; 921; 922; C7890",
description = "random number generation",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
journalabr = "Comput (Vienna/NY)",
keywords = "computer programming; independent uniform variables;
log normal variables; mathematical statistics ---
Random Number Generation; mathematical techniques;
pseudo random number generation; random variable",
}
@Article{Chambers:1976:MSS,
author = "J. M. Chambers and C. L. Mallows and B. W. Stuck",
title = "A Method for Simulating Stable Random Variables",
journal = j-J-AM-STAT-ASSOC,
volume = "71",
number = "354",
pages = "340--344",
month = jun,
year = "1976",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
MRclass = "65C10 (62E99)",
MRnumber = "54 \#4059",
bibdate = "Wed Jan 25 08:05:47 MST 2012",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1976.bib;
http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314237;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1970.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1980.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See correction \cite{Chambers:1987:CMS}.",
URL = "http://www.jstor.org/stable/2285309",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7107",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
location = "SEL: Wi",
revision = "16/01/94",
}
@Article{Claustriaux:1976:GCN,
author = "J. J. Claustriaux",
title = "{G}{\'e}n{\'e}ration et contr{\^o}le de nombres
pseudo-al{\'e}atoires sur ordinateur {\`a} mots de 16
bits. ({French}). [Generation and control of
pseudorandom numbers on a 16-bit computer]",
journal = "Revue de statistique appliqu{\'e}e",
volume = "24",
number = "2",
pages = "75--88",
month = "????",
year = "1976",
CODEN = "????",
ISSN = "????",
bibdate = "Tue Jan 17 09:56:42 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://archive.numdam.org/article/RSA_1976__24_2_75_0.pdf",
acknowledgement = ack-nhfb,
language = "French",
}
@InProceedings{Enison:1976:PTB,
author = "R. L. Enison and H. S. Bright",
title = "Preliminary testing of a 64-bit
{Tausworthe--Lewis--Payne} generator of {Mersenne}
exponent degree",
crossref = "Hoaglin:1976:PNI",
pages = "208--211",
year = "1976",
bibdate = "Mon Jan 16 21:47:21 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Fishman:1976:SGD,
author = "George S. Fishman",
title = "Sampling from the {Gamma}-distribution on a computer",
journal = j-CACM,
volume = "19",
number = "7",
pages = "407--409",
month = jul,
year = "1976",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65C10",
MRnumber = "54 6449",
MRreviewer = "Artenio De Matteis",
bibdate = "Mon Jan 22 06:39:47 MST 2001",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1976.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm19.html#Fishman76;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "This paper describes a new technique for sampling from
the gamma distribution on a digital computer and
compares it with an alternative technique. The method
suggested uses the rejection technique.",
acknowledgement = ack-nhfb,
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics); C7100 (Business and administration);
C7310 (Mathematics computing)",
classification = "912; 922",
corpsource = "Univ. of North Carolina, Chapel Hill, NC, USA",
country = "USA",
descriptors = "RNG; simulation",
enum = "951",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "gamma distribution; gamma variates; operations
research; probability; probability --- Random
Processes; rejection technique; sampling; shape
parameter; Wallace's method",
oldlabel = "Fishman76",
references = "0",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Fishman76",
}
@Article{Fishman:1976:SPD,
author = "G. S. Fishman",
title = "Sampling from the {Poisson} distribution on a
computer",
journal = j-COMPUTING,
volume = "17",
number = "2",
pages = "147--156",
month = jun,
year = "1976",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Tue Jan 2 17:40:52 MST 2001",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of North Carolina, Chapel Hill, NC, USA",
classification = "C1140; C7310",
description = "statistical analysis",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "computer; conventional search; inverse transform;
Poisson distribution; sampling",
}
@Article{Fishman:1976:STR,
author = "George S. Fishman",
title = "Some Test Results on the {Simscript II.5} and
{SIMPL/1} Pseudorandom Number Generators",
journal = j-SIMULETTER,
volume = "8",
number = "1",
pages = "79--84",
month = oct,
year = "1976",
CODEN = "SIMUD5",
ISSN = "0163-6103",
bibdate = "Thu Jan 12 12:28:20 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.or.unc.edu/research/temp/tech70b.html",
acknowledgement = ack-nhfb,
fjournal = "ACM Simuletter",
}
@InProceedings{Friday:1976:SGN,
author = "Dennis S. Friday and G. P. Patil and M. T. Boswell",
title = "A study of the generation of non-uniform random
numbers on a computer",
crossref = "Hoaglin:1976:PNI",
pages = "191--196",
year = "1976",
bibdate = "Thu Mar 08 20:54:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Fuller:1976:PPR,
author = "A. T. Fuller",
title = "The period of pseudo-random numbers generated by
{Lehmer}'s congruential method",
journal = j-COMP-J,
volume = "19",
number = "2",
pages = "173--177",
month = may,
year = "1976",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/19.2.173",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/173.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/174.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/175.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/176.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/177.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "922",
corpsource = "Dept. of Engng., Univ. of Cambridge, Cambridge, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "Lehmer's congruential method; mathematical statistics;
numbers; period; pseudorandom; random number
generation; sequence",
treatment = "T Theoretical or Mathematical",
}
@Article{Glaser:1976:RGM,
author = "Ronald E. Glaser",
title = "The Ratio of the Geometric Mean to the Arithmetic Mean
for a Random Sample from a Gamma Distribution",
journal = j-J-AM-STAT-ASSOC,
volume = "71",
number = "354",
pages = "480--487",
month = jun,
year = "1976",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:47 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314237;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2285338",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Golder:1976:BMM,
author = "E. R. Golder and J. G. Settle",
title = "The {Box--Muller} method for generating pseudo-random
normal deviates",
journal = j-APPL-STAT,
volume = "25",
number = "1",
pages = "12--20",
year = "1976",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:37 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "B0240G (Monte Carlo methods); C1140G (Monte Carlo
methods)",
corpsource = "Univ. of Liverpool, Liverpool, UK",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "Box Muller transformation; Monte Carlo methods; Monte
Carlo simulation; pseudo random normal deviates; random
number generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Golder:1976:SAA,
author = "E. R. Golder",
title = "Statistical Algorithms: {Algorithm AS 98}: The
Spectral Test for the Evaluation of Congruential
Pseudo-Random Generators",
journal = j-APPL-STAT,
volume = "25",
number = "2",
pages = "173--180",
month = jun,
year = "1976",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:40 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See remark \cite{Golder:1976:SAR,Hoaglin:1978:SAR}.",
URL = "http://lib.stat.cmu.edu/apstat/98;
http://www.jstor.org/stable/pdfplus/2346691.pdf",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C7890 (Other special
applications of computing)",
corpsource = "Dept. of Computational and Statistical Sci., Univ. of
Liverpool, Liverpool, UK",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "algorithm; congruential pseudo random; generators;
random number generation; spectral test; statistical
analysis; subroutines",
treatment = "T Theoretical or Mathematical",
}
@Article{Golder:1976:SAR,
author = "E. R. Golder",
title = "Statistical Algorithms: {Remark AS R18}: The Spectral
Test for the Evaluation of Congruential Pseudo-Random
Generators",
journal = j-APPL-STAT,
volume = "25",
number = "3",
pages = "324--324",
year = "1976",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:42 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Golder:1976:SAA,Hoaglin:1978:SAR}.",
URL = "http://www.jstor.org/stable/pdfplus/2347260.pdf",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@InProceedings{Greenwood:1976:DTC,
author = "J. A. Greenwood",
title = "The demands of trivial combinatorial problems on
random number generators",
crossref = "Hoaglin:1976:PNI",
pages = "222--227",
year = "1976",
bibdate = "Mon Jan 16 21:48:52 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Greenwood:1976:FMI,
author = "J. A. Greenwood",
editor = "J. Gordesch and P. Naeve",
booktitle = "{Compstat 1976: Proceedings in Computational
Statistics}",
title = "A fast machine-independent long-period generator for
31-bit pseudorandom integers",
publisher = pub-PHYSICA-VERLAG,
address = pub-PHYSICA-VERLAG:adr,
pages = "30--37",
year = "1976",
bibdate = "Thu Jan 19 06:52:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Greenwood:1976:MTG,
author = "J. Arthur Greenwood",
title = "Moments of the time to generate random variables by
rejection",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "28",
number = "3",
pages = "399--401",
month = "????",
year = "1976",
CODEN = "AISXAD",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
MRclass = "65C10",
MRnumber = "0433805 (55 \#6776)",
MRreviewer = "Artenio De Matteis",
bibdate = "Fri Mar 09 17:35:35 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
ajournal = "Ann. Inst. Statist. Math.",
fjournal = "Annals of the Institute of Statistical Mathematics
(Tokyo)",
journal-URL = "http://link.springer.com/journal/10463",
keywords = "random variate generation",
}
@InProceedings{Guerra:1976:RNG,
author = "V. O. Guerra and R. A. Tapia and J. R. Thompson",
title = "A random number generator for continuous random
variables based on an interpolation procedure of
{Akima}",
crossref = "Hoaglin:1976:PNI",
pages = "228--230",
year = "1976",
bibdate = "Fri Mar 09 17:38:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "random variate generation",
}
@Article{Heikes:1976:UCR,
author = "Russell G. Heikes and Douglas C. Montgomery and Ronald
L. Rardin",
title = "Using {Common Random Numbers} in Simulation
Experiments --- an Approach to Statistical Analysis",
journal = j-SIMULATION,
volume = "25",
number = "3",
pages = "81--85",
month = sep,
year = "1976",
CODEN = "SIMUA2",
DOI = "https://doi.org/10.1177/003754977602700301",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/27/3/81",
abstract = "A widely applied method of experimental design in
stochastic simulation is to use the same
pseudorandom-number stream for each of the systems or
alternatives to be compared. If there are only two
alternatives, there is a well-known simple method of
statistical analysis. This paper presents Graybill's
extension of that analysis technique to the case of
several systems or alternatives and points out its
applicability in the simulation environment. The
technique is illustrated using a stochastic simulation
model of a small inventory system. An empirical
comparison with other methods of design and analysis is
included.",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
keywords = "Common Random Numbers (CRN)",
}
@TechReport{Hoaglin:1976:TPC,
author = "D. Hoaglin",
title = "Theoretical properties of congruential random-number
generators: an empirical view",
type = "Memorandum",
number = "NS-340",
institution = "Department of Statistics, Harvard University",
address = "Cambridge, MA, USA",
year = "1976",
bibdate = "Thu Dec 29 11:17:16 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Kinderman:1976:CGN,
author = "A. J. Kinderman and J. G. Ramage",
title = "Computer Generation of Normal Random Variables",
journal = j-J-AM-STAT-ASSOC,
volume = "71",
number = "356",
pages = "893--896",
month = dec,
year = "1976",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:47 MST 2012",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1976.bib;
http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314239;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1970.bib;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1990.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See corrections
\cite{Kinderman:1990:CCG,Tirler:2004:EKR}.",
URL = "http://www.jstor.org/stable/2286857",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7501",
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
location = "SEL: Wi",
revision = "16/01/94",
}
@InProceedings{Kinderman:1976:GRV,
author = "A. J. Kinderman and J. F. Monahan",
title = "Generating random variables from the ratio of two
uniform variates",
crossref = "Hoaglin:1976:PNI",
pages = "197--199",
year = "1976",
bibdate = "Fri Mar 09 17:44:11 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Klauder:1976:CGR,
author = "John R. Klauder",
title = "A characteristic glimpse of the renormalization
group",
journal = j-J-MATH-PHYS,
volume = "17",
number = "5",
pages = "826--830",
month = may,
year = "1976",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.522980",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:27:53 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v17/i5/p826_s1",
acknowledgement = ack-nhfb,
classification = "A0210 (Algebra, set theory, and graph theory); A0220
(Group theory)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "characteristic function; Euclidean field theory;
generalised real random variable; group theory;
probability measure; renormalization group; statistical
mechanics",
onlinedate = "28 August 2008",
pagecount = "5",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Knuth:1976:CNR,
author = "Donald E. Knuth and Andrew C. Yao",
title = "The complexity of nonuniform random number
generation",
crossref = "Traub:1976:ACR",
pages = "357--428",
year = "1976",
MRclass = "65C10 (68A20)",
MRnumber = "55 #4598",
MRreviewer = "George Marsaglia",
bibdate = "Sat Aug 13 10:04:24 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Russian translation by B. B. Pokhodze{\u\i} in {\sl
Kiberneticheski{\u\i} Sbornik\/ \bf 19} (1983),
97--158.",
acknowledgement = ack-nhfb,
}
@Article{Kounias:1976:BLB,
author = "Stratis Kounias and Jacqueline Marin",
title = "Best Linear {Bonferroni} Bounds",
journal = j-SIAM-J-APPL-MATH,
volume = "30",
number = "2",
pages = "307--323",
month = mar,
year = "1976",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classification = "B0240 (Probability and statistics); B0260
(Optimisation techniques); C1140 (Probability and
statistics); C1180 (Optimisation techniques)",
corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
keywords = "best linear Bonferroni bounds; indicator random
variables; linear programming; probability; probability
space; random processes; statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Kuo:1976:SRI,
author = "C. T. K. Kuo and T. W. Cadman and R. J. Arsenault",
title = "Sequential random integer generator",
journal = j-COMP-PHYS-COMM,
volume = "12",
number = "2",
pages = "163--171",
month = nov,
year = "1976",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(76)90065-5",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 06:01:21 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465576900655",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
remark = "From the introduction: ``The purpose of the present
program is to generate a subset of ordered,
non-repeating random integers from a larger set of
sequentially increasing, non-repeating integers. The
algorithm used minimizes both the computing time and
the fast memory space needed to accomplish this task.''
The algorithm is machine-dependent, requires an
initially-sorted larger list of random numbers, and is
inferior to the general solution given in
\cite{Bentley:1980:GSL}. However, the article does
describe physics applications of such sorted random
lists.",
}
@InProceedings{Learmonth:1976:ETM,
author = "G. P. Learmonth",
title = "Empirical tests of multipliers for the prime-modulus
random number generator {$ X(I + 1) = A X(I) \bmod
2^{31} 1 $}",
crossref = "Hoaglin:1976:PNI",
pages = "178--183",
year = "1976",
bibdate = "Mon Jan 16 21:50:29 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Levin:1976:UTR,
author = "L. A. Levin",
title = "Uniform tests of randomness",
journal = j-SOV-MATH-PROVIDENCE,
volume = "17",
number = "??",
pages = "337--340",
month = "????",
year = "1976",
CODEN = "SVMDA8",
ISSN = "0038-5573",
bibdate = "Mon Jan 16 21:51:56 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Soviet Mathematics",
}
@Article{Lewis:1976:SAN,
author = "P. A. W. Lewis and G. S. Shedler",
title = "Statistical Analysis of Non-Stationary Series of
Events in a Data Base System",
journal = j-IBM-JRD,
volume = "20",
number = "5",
pages = "465--482",
month = sep,
year = "1976",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
MRclass = "68A50",
MRnumber = "56 \#1662",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "This paper describes methods, both old and new, for
the statistical analysis of non-stationary univariate
stochastic point processes and sequences of positive
random variables. Such processes are frequently
encountered in computer systems. As an illustration of
the methodology an analysis is given of the stochastic
point process of transactions initiated in a running
data base system. On the basis of the statistical
analysis, a non-homogeneous Poisson process model for
the transaction initiation process is postulated for
periods of high system activity and found to be an
adequate characterization of the data.",
acknowledgement = ack-nhfb,
classcodes = "C1140Z (Other topics in statistics); C6120 (File
organisation); C6150G (Diagnostic, testing, debugging
and evaluating systems)",
classification = "723; 922",
corpsource = "Naval Postgraduate School, Monterey, CA, USA",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
journalabr = "IBM J Res Dev",
keywords = "analysis; clustering; data base subsystem models; data
base systems; database management systems; methodology;
nonstationary series; performance evaluation;
probability --- Random Processes; process; program
testing; statistical; statistical analysis; stochastic
processes; transaction initiation; workload",
reviewer = "E. C. Posner",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Locks:1976:EAV,
author = "M. O. Locks",
title = "Error analysis of various methods for generating beta
and gamma variates",
crossref = "Hoaglin:1976:PNI",
pages = "184--188",
year = "1976",
bibdate = "Fri Mar 09 17:45:57 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "random number generation",
}
@Article{Lyness:1976:CNA,
author = "J. N. Lyness and J. J. Kaganove",
title = "Comments on the Nature of Automatic Quadrature
Routines",
journal = j-TOMS,
volume = "2",
number = "1",
pages = "65--81",
month = mar,
year = "1976",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355666.355671",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D30",
MRnumber = "53 #1921",
bibdate = "Sat Aug 27 00:30:21 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
reviewer = "Henning Esser",
}
@Article{Margolin:1976:TKS,
author = "Barry H. Margolin and Willi Maurer",
title = "Tests of the {Kolmogorov--Smirnov} Type for
Exponential Data with Unknown Scale, and Related
Problems",
journal = j-BIOMETRIKA,
volume = "63",
number = "1",
pages = "149--160",
month = apr,
year = "1976",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2335096",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "62G10",
MRnumber = "0403062 (53 \#6875)",
MRreviewer = "M. Knott",
bibdate = "Sat Jun 21 14:34:05 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315482;
https://www.math.utah.edu/pub/tex/bib/biometrika1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2335096",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
}
@Article{Marsaglia:1976:IFM,
author = "G. Marsaglia and K. Ananthanarayanan and N. J. Paul",
title = "Improvements on Fast Methods for Generating Normal
Random Variables",
journal = j-INFO-PROC-LETT,
volume = "5",
number = "2",
pages = "27--30",
month = jun,
year = "1976",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "65C10",
MRnumber = "55 \#11560",
MRreviewer = "I. Vaduva",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/ipl/ipl5.html#MarsagliaAP76;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0332.65003",
acknowledgement = ack-nhfb,
classification = "922; B0240G (Monte Carlo methods); C1140G (Monte
Carlo methods); C7890 (Other special applications of
computing)",
corpsource = "School of Computer Sci., McGill Univ., Montreal, Que.,
Canada",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "mathematical programming; mathematical statistics;
Monte Carlo; Monte Carlo methods; normal random
variables; random number generation; random numbers;
rectangle tooth tail method; simulation",
oldlabel = "MarsagliaAP76",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/ipl/MarsagliaAP76",
ZMclass = "65C10 Random number generation 65C05 Monte Carlo
methods",
}
@InCollection{Marsaglia:1976:RNG,
author = "George Marsaglia",
title = "Random number generation",
crossref = "Ralston:1976:ECS",
pages = "1192--1197",
year = "1976",
bibdate = "Mon Aug 02 16:34:17 2004",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{McArdle:1976:ETM,
author = "J. McArdle",
title = "Empirical tests of multivariate generators",
crossref = "Hoaglin:1976:PNI",
pages = "263--267",
year = "1976",
bibdate = "Mon Jan 16 21:52:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Michael:1976:GRV,
author = "John R. Michael and William R. Schucany and Roy W.
Haas",
title = "Generating Random Variates Using Transformations with
Multiple Roots",
journal = j-AMER-STAT,
volume = "30",
number = "2",
pages = "88--90",
month = may,
year = "1976",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:21 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326390;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2683801",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Miklich:1976:HSN,
author = "Donald R. Miklich and David J. Austin",
title = "A high-speed normal random number generator using
table look-up",
journal = j-BEHAV-RES-METH-INSTR,
volume = "8",
number = "4",
pages = "405--405",
month = jul,
year = "1976",
CODEN = "BRMIAC",
DOI = "https://doi.org/10.3758/BF03201812",
ISSN = "0005-7878",
bibdate = "Thu Mar 08 20:56:47 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Behavior Research Methods and Instrumentation",
remark = "The authors use lookup without interpolation in a
table of 4096 previously-computed normally-distributed
numbers, with the table index chosen by a simple MCG.",
}
@MastersThesis{Mitchell:1976:EAD,
author = "James Melvin Mitchell",
title = "Encryption algorithm for data security based on a
polyalphabetic substitution scheme and a pseudo-random
number generator",
type = "Thesis ({M.S.})",
school = "University of Tennessee, Knoxville",
address = "Knoxville, TN, USA",
pages = "v + 83",
year = "1976",
bibdate = "Mon Oct 19 08:47:56 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Neuman:1976:APC,
author = "F. Neuman and R. B. Merrick",
title = "Autocorrelation Peaks in Congruential Pseudorandom
Number Generators",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-25",
number = "5",
pages = "457--460",
month = may,
year = "1976",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1976.1674632",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 06:24:51 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674632",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Neuman:1976:AST,
author = "F. Neuman and C. F. Martin",
title = "The Autocorrelation Structure of {Tausworthe}
Pseudorandom Number Generators",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-25",
number = "5",
pages = "460--464",
month = may,
year = "1976",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1976.1674633",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 06:24:51 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674633",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Niederreiter:1976:CSL,
author = "Harald Niederreiter",
title = "On the cycle structure of linear recurring sequences",
journal = j-MATH-SCAND,
volume = "38",
number = "??",
pages = "53--77",
month = "????",
year = "1976",
CODEN = "MTSCAN",
ISSN = "0025-5521 (print), 1903-1807 (electronic)",
ISSN-L = "0025-5521",
MRnumber = "MR 406918",
bibdate = "Thu Jan 19 07:41:15 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematica Scandinavica",
journal-URL = "http://www.mscand.dk/issue/archive",
}
@Article{Niederreiter:1976:DPR,
author = "Harald Niederreiter",
title = "On the distribution of pseudo-random numbers generated
by the linear congruential method. {III}",
journal = j-MATH-COMPUT,
volume = "30",
number = "135",
pages = "571--597",
month = jul,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database; Parallel/Multi.bib",
URL = "http://www.jstor.org/stable/pdfplus/2005328.pdf",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital
arithmetic methods)",
corpsource = "School of Math., Inst. for Advanced Study, Princeton,
NJ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "congruential generator; discrepancy estimates;
distribution; linear; linear congruential method;
maximal period sequences; number theory; pseudo random
numbers; random number generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Niederreiter:1976:SIL,
author = "Harald Niederreiter",
title = "Statistical independence of linear congruential
pseudo-random numbers",
journal = j-BULL-AMS,
volume = "82",
number = "6",
pages = "927--929",
month = nov,
year = "1976",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
MRclass = "10K05 (65C10)",
MRnumber = "0419395 (54 \#7416)",
MRreviewer = "Gutti J. Babu",
bibdate = "Thu Dec 29 11:25:30 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.bams/1183538356",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Niederreiter:1976:SNE,
author = "Harald Niederreiter",
title = "Some new exponential sums with applications to
pseudo-random numbers",
journal = j-COLLOQ-MATH-BOLYAI,
volume = "13",
number = "??",
pages = "209--232",
month = "????",
year = "1976",
ISSN = "0139-3383",
MRnumber = "MR 447141",
bibdate = "Thu Jan 19 07:38:49 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "",
acknowledgement = ack-nhfb,
fjournal = "Colloquia Mathematica Societatis J{\'a}nos Bolyai",
remark = "Conference proceedings: Topics in Number Theory
(Debrecen, 1974). Published by North-Holland,
Amsterdam, The Netherlands.",
}
@Article{Pohl:1976:DMP,
author = "Peter Pohl",
title = "Description of {MCV}, a pseudo-random number
generator",
journal = j-SCAND-ACTUAR-J,
volume = "1976",
number = "1",
pages = "1--14",
month = "????",
year = "1976",
CODEN = "SAJODI",
DOI = "https://doi.org/10.1080/03461238.1976.10405931",
ISSN = "0346-1238 (print), 1651-2030 (electronic)",
ISSN-L = "0346-1238",
bibdate = "Thu Mar 15 17:14:33 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Scandinavian Actuarial Journal",
onlinedate = "22 Dec 2011",
}
@Article{Rouault:1976:PAE,
author = "Alain Rouault",
title = "Propri{\'e}t{\'e}s asymptotiques d'un
{$n$}-{\'e}chantillon d'une variable al{\'e}atoire
d{\'e}nombrable connues sous le nom de lois de {Zipf}.
({French}) [Asymptotic properties of an $n$-sample of a
denumerable random variable known under the name of
{Zipf}'s law]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "283",
number = "6",
pages = "Aiv, A379--A380",
year = "1976",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "62E20",
MRnumber = "0423644 (54 \#11619)",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}ries A et B",
language = "French",
}
@Article{Rudolph:1976:RNG,
author = "E. Rudolph and D. M. Hawkins",
title = "Random Number Generators in Cyclic Queuing
Applications",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "5",
number = "1",
pages = "65--71",
month = jan,
year = "1976",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657608810139",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Thu Jan 05 10:58:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "Nine multiplicative congruential, shift register and
composite random number generators are empirically
compared on an IBM 360/65 computer. The basis for the
comparison is the simulation of a Markov process which
can also be analytically described. Any deviation of
the simulation results from the theoretical indicates a
non-random behaviour of the generator. The results,
including the relative speeds of the generators, are
presented and discussed",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
onlinedate = "20 Mar 2007",
}
@Article{Sobol:1976:UDS,
author = "I. M. Sobol'",
title = "Uniformly distributed sequences with an additional
uniform property",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "16",
number = "5",
pages = "236--242",
month = "????",
year = "1976",
CODEN = "CMMPA9",
DOI = "https://doi.org/10.1016/0041-5553(76)90154-3",
ISSN = "0041-5553, 0502-9902",
ISSN-L = "0041-5553",
bibdate = "Mon Feb 20 15:57:25 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0041555376901543",
acknowledgement = ack-nhfb,
fjournal = "U.S.S.R. Computational Mathematics and Mathematical
Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00415553",
}
@Article{vanDooren:1976:AAN,
author = "Paul van Dooren and Luc de Ridder",
title = "An adaptive algorithm for numerical integration over
an $n$-dimensional cube",
journal = j-J-COMPUT-APPL-MATH,
volume = "2",
number = "3",
pages = "207--217",
month = sep,
year = "1976",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0771-050X(76)90005-X",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Mon Jan 16 11:26:30 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0771050X7690005X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
keywords = "Monte Carlo quadrature",
}
@Article{Wallace:1976:TRG,
author = "C. S. Wallace",
title = "Transformed Rejection Generators for Gamma and Normal
Pseudo-Random Variables",
journal = j-AUSTRALIAN-COMP-J,
volume = "8",
number = "3",
pages = "103--105",
month = "????",
year = "1976",
CODEN = "ACMJB2",
ISSN = "0004-8917",
bibdate = "Fri Mar 09 17:54:03 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A combination of the transformation and rejection
techniques for the generation of pseudo-random variates
from specified distributions is presented. The method
extends the rejection technique to cover distributions
of infinite range and/or infinite density at some point
in the range. Algorithms using the method are devised
for the Normal distribution and for the Gamma
distribution with shape parameter less than one. The
first algorithm is competitive with others published,
and the second superior to previous algorithms.",
acknowledgement = ack-nhfb,
fjournal = "Australian Computer Journal",
keywords = "Gamma distribution; Gaussian distribution; Normal
distribution; random number generators; simulation",
xxtitle = "Transformed Rejection Generators for the Gamma and
Normal Pseudo-Random Variables",
}
@Article{Wedderburn:1976:SAR,
author = "R. W. M. Wedderburn",
title = "Statistical Algorithms: {Remark AS R16}: a Remark on
{Algorithm AS 29}: {``The Runs Up and Down Test''}",
journal = j-APPL-STAT,
volume = "25",
number = "2",
pages = "193--193",
year = "1976",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:40 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Downham:1970:SAA}.",
URL = "http://lib.stat.cmu.edu/apstat/29",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{Williams:1976:PRS,
author = "F. J. Williams and N. J. A. Sloane",
title = "Pseudo-random sequences and arrays",
journal = j-PROC-IEEE,
volume = "64",
number = "12",
pages = "1715--1727",
year = "1976",
CODEN = "IEEPAD",
DOI = "https://doi.org/10.1109/PROC.1976.10411",
ISSN = "0018-9219 (print), 1558-2256 (electronic)",
ISSN-L = "0018-9219",
bibdate = "Fri Mar 09 17:47:33 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the IEEE",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}
@Article{Witsenhausen:1976:VBC,
author = "H. S. Witsenhausen",
title = "Values and Bounds for the Common Information of Two
Discrete Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "31",
number = "2",
pages = "313--333",
month = sep,
year = "1976",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classification = "B6110 (Information theory); C1260 (Information
theory)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
keywords = "common information; discrete random variables;
information theory; joint distributions; L shaped
distributions; lower bound; reduced bounds; zero
trace",
treatment = "T Theoretical or Mathematical",
}
@Article{Zakharov:1976:ECS,
author = "V. V. Zakharov and V. I. Smirnova",
title = "Experimental comparison of some pseudorandom
sequences",
journal = "Problems of Random Search, Zinatne, Riga",
volume = "5",
number = "??",
pages = "185--190",
month = "????",
year = "1976",
bibdate = "Mon Feb 27 17:17:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
}
@Article{Zucker:1976:TMT,
author = "Steven W. Zucker",
title = "Toward a Model of Texture",
journal = j-CGIP,
volume = "5",
number = "2",
pages = "190--202",
month = jun,
year = "1976",
CODEN = "CGIPBG",
ISSN = "0146-664x (print), 1557-9697 (electronic)",
ISSN-L = "0146-664X",
bibdate = "Fri Feb 7 08:07:49 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.76.bib;
https://www.math.utah.edu/pub/tex/bib/cvgip.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
Misc/misc.1.bib",
note = "ZUCKER76a",
abstract = "This paper develops aspects of a model of texture. The
notion of a primitive is defined, from which
unobservable, highly regular ideal textures are
generated. By examining this construction process,
various consequences of adopting a local approach to
texture are realised. Transformations are defined from
the graph representation of ideal textures onto the
representation of observable textures. Through this
transformational stage, the statistical approach to
texture is shown to be a generalisation of the
structural approach in the same way that random
variables are a generalisation of deterministic
variables.",
acknowledgement = ack-nhfb,
classification = "723; 921",
fjournal = "Computer Graphics and Image Processing",
journal-URL = "http://www.sciencedirect.com/science/journal/0146664X",
journalabr = "Comput Graphics Image Process",
keywords = "image processing --- Mathematical Models; pattern
recognition systems; realism, texture, surface
texture",
}
@TechReport{Ahrens:1977:URN,
author = "J. H. Ahrens and U. Dieter",
title = "Uniform Random Numbers",
type = "Technical Report",
number = "??",
institution = "University of Graz",
address = "Graz, Austria",
month = "????",
year = "1977",
bibdate = "Wed Nov 12 15:39:21 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Akchurin:1977:RNG,
author = "R. M. Akchurin",
title = "A random number generator",
journal = j-PROG-COMP-SOFT,
volume = "3",
number = "??",
pages = "392--395",
month = "????",
year = "1977",
CODEN = "PCSODA",
ISSN = "0361-7688 (print), 1608-3261 (electronic)",
ISSN-L = "0361-7688",
bibdate = "Mon Jan 16 21:36:35 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Programming and Computer Software; translation of
Programmirovaniye (Moscow, USSR) Plenum",
}
@Article{Amadori:1977:CDS,
author = "R{\"u}diger Amadori",
title = "Correlational defects in the standard {IBM 360} random
number generator and the classical ideal gas
correlation function",
journal = j-J-COMPUT-PHYS,
volume = "24",
number = "4",
pages = "450--454",
month = aug,
year = "1977",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(77)90033-X",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Dec 31 08:29:49 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Coldwell:1974:CDS}.",
URL = "http://www.sciencedirect.com/science/article/pii/002199917790033X",
abstract = "In a previous note [1] with the above title, Coldwell
demonstrated the manifestation of a defect in a special
random number generator and discussed methods [2] to
circumvent this defect. The purpose of this note is to
draw attention to other devices which may serve for the
same intent.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Atkinson:1977:EPA,
author = "A. C. Atkinson",
title = "An Easily Programmed Algorithm for Generating Gamma
Random Variables",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "140",
number = "2",
pages = "232--234",
month = "????",
year = "1977",
CODEN = "JSSAEF",
DOI = "https://doi.org/10.2307/2344879",
ISSN = "0035-9238",
ISSN-L = "0035-9238",
bibdate = "Sat Jan 24 11:18:14 MST 2015",
bibsource = "http://www.jstor.org/stable/i315979;
https://www.math.utah.edu/pub/tex/bib/jrss-a-1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2344879",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
}
@Article{Beasley:1977:SAA,
author = "J. D. Beasley and S. G. Springer",
title = "Statistical Algorithms: {Algorithm AS 111}: The
Percentage Points of the Normal Distribution",
journal = j-APPL-STAT,
volume = "26",
number = "1",
pages = "118--121",
month = mar,
year = "1977",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:55 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://lib.stat.cmu.edu/apstat/111",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Book{Bendat:1977:PAR,
author = "Julius S. Bendat",
title = "Principles and Applications of Random Noise Theory",
publisher = pub-R-E-KRIEGER,
address = pub-R-E-KRIEGER:adr,
pages = "xxi + 433",
year = "1977",
ISBN = "0-88275-556-0",
ISBN-13 = "978-0-88275-556-4",
LCCN = "TK5101 .B37 1978",
bibdate = "Sun Nov 30 07:48:47 MST 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Reprint of \cite{Bendat:1958:PAR} with corrections and
new material.",
subject = "Random noise theory",
}
@Article{Bohrer:1977:SSR,
author = "R. Bohrer and P. B. Imrey",
title = "Statistics, stationarity and random number
generation",
journal = j-SIMULETTER,
volume = "9",
number = "??",
pages = "64--71",
month = "????",
year = "1977",
CODEN = "SIMUD5",
ISSN = "0163-6103",
bibdate = "Mon Jan 16 21:37:29 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Simuletter",
}
@Article{Camp:1977:IPN,
author = "W. V. Camp and T. G. Lewis",
title = "Implementing a Pseudorandom Number Generator on a
Minicomputer",
journal = j-IEEE-TRANS-SOFTW-ENG,
volume = "SE-3",
number = "3",
pages = "259--262",
month = may # "\slash " # jun,
year = "1977",
CODEN = "IESEDJ",
DOI = "https://doi.org/10.1109/TSE.1977.231135",
ISSN = "0098-5589 (print), 1939-3520 (electronic)",
ISSN-L = "0098-5589",
bibdate = "Thu Feb 1 08:07:37 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranssoftweng1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1702434",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Software Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=32",
}
@Article{Cheng:1977:MGG,
author = "R. C. H. Cheng",
title = "Miscellanea: The Generation of Gamma Variables with
Non-Integral Shape Parameter",
journal = j-APPL-STAT,
volume = "26",
number = "1",
pages = "71--75",
year = "1977",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:55 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@TechReport{Fishman:1977:ETM,
author = "George S. Fishman and Louis R. Moore",
title = "Empirical Testing of Multiplicative Congruential
Generators with Modulus $ 2^{31} - 1 $",
type = "Technical Report",
number = "77-12",
institution = "University of North Carolina at Chapel Hill",
address = "Chapel Hill, NC 27514, USA",
pages = "iv + 15 + ii",
month = oct,
year = "1977",
bibdate = "Wed Nov 12 08:31:51 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a046149.pdf",
abstract = "This paper presents the results of empirically testing
8 alternative multipliers for a multiplicative
congruential generator with modulus $ 2^{31} - 1 $. The
LLRANDOM random number package [11] uses one of the
multipliers, the simulation programming language
SINSCRIPT II uses a second and the remaining six are
the best of $ 50 $ candidate multipliers studied by
Hoaglin (1976) using the theoretical spectra1 and
lattice tests. The battery of tests fall to detect any
departures from randomness for $3$ of the multipliers,
even at a $ 0.20$ significance level. This group
includes the multiplier that SIMSCRIPT II employs.
However, another of the $3$ superior performers, $
397204094$, requires only $ 78$ percent of the
computing time that the SIMSCRIPT II multiplier does
and is the second most efficient computationally of all
$8$ multipliers.",
acknowledgement = ack-nhfb,
}
@Article{Gait:1977:NNP,
author = "J. Gait",
title = "A New Nonlinear Pseudorandom Number Generator",
journal = j-IEEE-TRANS-SOFTW-ENG,
volume = "SE-3",
number = "5",
pages = "359--363",
month = sep # "\slash " # oct,
year = "1977",
CODEN = "IESEDJ",
DOI = "https://doi.org/10.1109/TSE.1977.231161",
ISSN = "0098-5589 (print), 1939-3520 (electronic)",
ISSN-L = "0098-5589",
bibdate = "Thu Feb 1 08:07:37 MST 2018",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranssoftweng1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1702460",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Software Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=32",
}
@Unpublished{Garling:1977:SBS,
author = "D. J. H. Garling",
title = "Sums of {Banach} space valued random variables",
address = "Department of Mathematics, The Ohio State University,
Columbus, OH, USA",
pages = "107",
year = "1977",
bibdate = "Fri Jan 6 09:59:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Mimeographed lecture notes",
acknowledgement = ack-nhfb,
}
@Article{Gideon:1977:SAE,
author = "Rudy A. Gideon and John Gurland",
title = "Some Alternative Expansions for the Distribution
Function of a Noncentral Chi-Square Random Variable",
journal = j-SIAM-J-MATH-ANA,
volume = "8",
number = "1",
pages = "100--110",
month = feb,
year = "1977",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
bibdate = "Sun Nov 28 19:28:21 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/8/1;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Jackson:1977:SGP,
author = "D. Jackson",
title = "Software generation of pseudorandom sequences",
journal = j-ELECTRON-ENG,
volume = "49",
number = "??",
pages = "55--58",
month = dec,
year = "1977",
CODEN = "ELEGAP",
ISSN = "0013-4902",
bibdate = "Mon Jan 16 21:40:19 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Electronic Engineering",
}
@Article{Kinderman:1977:CGR,
author = "A. J. Kinderman and J. F. Monahan",
title = "Computer Generation of Random Variables Using the
Ratio of Uniform Deviates",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "257--260",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355744.355750",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 22:58:34 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7496",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
}
@InProceedings{Kurita:1977:CPC,
author = "Y. Kurita",
title = "Choosing parameters for congruential random number
generators",
crossref = "Barra:1977:RDS",
pages = "697--704",
year = "1977",
bibdate = "Mon Jan 16 21:41:08 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Landauer:1977:CCM,
author = "Edwin G. Landauer",
title = "Computer Corner: Methods of Random Number Generation",
journal = j-TWO-YEAR-COLL-MATH-J,
volume = "8",
number = "5",
pages = "296--303",
month = nov,
year = "1977",
CODEN = "????",
DOI = "https://doi.org/10.1080/00494925.1977.11974532",
ISSN = "0049-4925 (print), 2325-9116 (electronic)",
ISSN-L = "0049-4925",
bibdate = "Thu Feb 14 09:48:41 MST 2019",
bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/3026786;
http://www.tandfonline.com/doi/abs/10.1080/00494925.1977.11974532",
acknowledgement = ack-nhfb,
fjournal = "Two-Year College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
http://www.jstor.org/journals/00494925.html",
onlinedate = "30 Jan 2018",
}
@Article{Marsaglia:1977:SMG,
author = "George Marsaglia",
title = "The squeeze method for generating gamma variates",
journal = j-COMPUT-MATH-APPL,
volume = "3",
number = "4",
pages = "321--325",
year = "1977",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(77)90089-X",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65C10",
MRnumber = "58 \#13613",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
ZMnumber = "0384.65005",
abstract = "This paper describes an exact method for computer
generation of random variables with a gamma
distribution. The method is based on the
Wilson--Hilferty transformation and an improvement on
the rejection technique. The idea is to ``squeeze'' a
target density between two functions, the top one easy
to sample from, the bottom one easy to evaluate.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
ZMclass = "65C10 Random number generation 60E05 General theory of
probability distributions",
}
@Article{Miller:1977:STD,
author = "A. J. Miller and A. W. Brown and P. Mars",
title = "A Simple Technique for the Determination of Delayed
Maximal Length Linear Binary Sequences",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-26",
number = "8",
pages = "808--811",
month = aug,
year = "1977",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1977.1674919",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Mon Jul 11 21:56:56 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674919",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Miller:1977:TDD,
author = "A. J. Miller and P. Mars",
title = "Theory and design of a digital stochastic computer
random number generator",
journal = j-MATH-COMP-SIM,
volume = "19",
number = "??",
pages = "198--216",
month = "????",
year = "1977",
CODEN = "MCSIDR",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
ISSN-L = "0378-4754",
bibdate = "Mon Jan 16 21:42:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics and Computers in Simulation",
journal-URL = "http://www.sciencedirect.com/science/journal/03784754",
}
@Article{Mitchell:1977:TLM,
author = "R. L. Mitchell and C. R. Stone",
title = "Table-Lookup Methods for Generating Arbitrary Random
Numbers",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-26",
number = "10",
pages = "1006--1008",
month = oct,
year = "1977",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1977.1674735",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed Jul 13 10:13:04 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674735",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Mueller:1977:RNG,
author = "R. A. Mueller and D. D. Georg and G. R. Johnson",
title = "A random number generator for microprocessors",
journal = j-SIMULATION,
volume = "28",
number = "4",
pages = "123--127",
month = apr,
year = "1977",
CODEN = "SIMUA2",
DOI = "https://doi.org/10.1177/003754977702800407",
ISSN = "0037-5497 (print), 1741-3133 (electronic)",
ISSN-L = "0037-5497",
bibdate = "Wed Jan 11 10:40:35 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://sim.sagepub.com/content/28/4/123.abstract",
abstract = "An algorithm is presented for generating uniformly
distributed random deviates on microprocessors or
minicomputers utilizing memories with a small
word-length. Other alternative solutions are discussed,
and the statistical quality of sample streams of
generated numbers is evaluated and compared with the
quality of other widely used generators.",
acknowledgement = ack-nhfb,
fjournal = "Simulation",
journal-URL = "http://sim.sagepub.com/content/by/year",
}
@TechReport{Musyck:1977:SPG,
author = "E. Musyck",
title = "Search for a perfect generator of random numbers",
type = "Working Paper",
number = "BLG 516",
institution = "Centre d'{\'E}tude de l'{\'E}nergie Nucl{\'e}aire",
address = "Belgium",
year = "1977",
bibdate = "Mon Jan 16 21:43:26 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Niederreiter:1977:PRN,
author = "Harald Niederreiter",
title = "Pseudo-random numbers and optimal coefficients",
journal = j-ADV-MATH,
volume = "26",
number = "2",
pages = "99--181",
month = "????",
year = "1977",
CODEN = "ADMTA4",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
MRclass = "10K05 (65C10)",
MRnumber = "0476679 (57 \#16238)",
MRreviewer = "M. Mendes France",
bibdate = "Wed Nov 12 08:26:59 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
ZMnumber = "0366.65004",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
remark = "Cited in \cite[page 33]{Reiser:1977:AAR}",
}
@Article{Payne:1977:NRN,
author = "W. H. Payne",
title = "Normal Random Numbers: Using Machine Analysis to
Choose the Best Algorithm",
journal = j-TOMS,
volume = "3",
number = "4",
pages = "346--358",
month = dec,
year = "1977",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65C10",
MRnumber = "57 #1827",
bibdate = "Sat Aug 27 23:09:02 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://doi.acm.org/10.1145/355759.355763",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7752",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
location = "SEL: Wi",
references = "0",
reviewer = "Artenio De Matteis",
revision = "16/01/94",
}
@InProceedings{Peskun:1977:IAR,
author = "P. Peskun",
editor = "D. Hogben and D. Fife",
booktitle = "Proceedings of the 10th Annual Symposium on the
Interface of Computer Science and Statistics",
title = "Improving the apparent randomness of pseudorandom
numbers generated by the mixed congruential method",
publisher = "????",
address = "????",
pages = "323--328",
year = "1977",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Mon Jan 16 21:45:07 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Pettitt:1977:KSG,
author = "A. N. Pettitt and M. A. Stephens",
title = "The {Kolmogorov--Smirnov} Goodness-of-Fit Statistic
with Discrete and Grouped Data",
journal = j-TECHNOMETRICS,
volume = "19",
number = "??",
pages = "205--210",
month = "????",
year = "1977",
CODEN = "TCMTA2",
ISSN = "0040-1706 (print), 1537-2723 (electronic)",
ISSN-L = "0040-1706",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Technometrics",
journal-URL = "http://www.jstor.org/journals/00401706.html;
http://www.tandfonline.com/loi/utch20",
}
@Article{Reeds:1977:CRN,
author = "James A. Reeds",
title = "``{Cracking}'' a Random Number Generator",
journal = j-CRYPTOLOGIA,
volume = "1",
number = "1",
pages = "20--26",
month = jan,
year = "1977",
CODEN = "CRYPE6",
ISSN = "0161-1194 (print), 1558-1586 (electronic)",
ISSN-L = "0161-1194",
bibdate = "Sat Nov 21 12:35:16 MST 1998",
bibsource = "http://www.dean.usma.edu/math/pubs/cryptologia/;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
Theory/crypto.security.bib",
note = "Reprinted in \cite[pp. 509--515]{Deavours:1987:CYT}.",
acknowledgement = ack-nhfb,
fjournal = "Cryptologia",
journal-URL = "http://www.tandfonline.com/loi/ucry20",
romanvolume = "I",
}
@TechReport{Reiser:1977:AAR,
author = "John Fredrick Reiser",
title = "Analysis of additive random number generators",
type = "U.S. Government Report",
number = "STAN-CS-77-601 (AD-A045652/5)",
institution = "Computer Science Department, School of Humanities and
Sciences, Stanford University",
address = "Stanford, CA, USA",
pages = "34",
month = mar,
year = "1977",
bibdate = "Mon Jan 16 21:46:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Roefs:1977:CPR,
author = "H. F. A. Roefs and M. B. Pursley",
title = "Correlation parameters of random binary sequences",
journal = j-ELECT-LETTERS,
volume = "13",
number = "16",
pages = "488--489",
day = "4",
month = aug,
year = "1977",
CODEN = "ELLEAK",
DOI = "https://doi.org/10.1049/el:19770353",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Fri Dec 30 16:39:40 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4240473",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
fjournal = "Electronics Letters",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
}
@TechReport{Schmeiser:1977:RMB,
author = "Bruce W. Schmeiser and M. A. Shalaby",
title = "Rejection Methods for Beta Variate Generation",
type = "Technical Report",
number = "77014",
institution = "Department of Operations Research and Engineering
Management, Southern Methodist University",
address = "Dallas, TX 75275, USA",
year = "1977",
bibdate = "Wed Nov 12 09:01:02 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Sheil:1977:SAA,
author = "J. Sheil and I. O'Muircheartaigh",
title = "Statistical Algorithms: {Algorithm AS 106}: The
Distribution of Non-Negative Quadratic Forms in Normal
Variables",
journal = j-APPL-STAT,
volume = "26",
number = "1",
pages = "92--98",
month = mar,
year = "1977",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:21:55 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See remark \cite{Farebrother:1984:SARb}.",
URL = "http://lib.stat.cmu.edu/apstat/106",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@InProceedings{Shepherd:1977:TLI,
author = "W. L. Shepherd and J. N. Hynes",
booktitle = "{Proceedings of the Twenty-Second Conference on the
Design of Experiments in Army Research, Development,
and Testing: sponsored by Army Mathematics Steering
Committee, Host, Harry Diamond Laboratories, Adelphi,
Maryland, 20--22 October 1976}",
title = "Table look-up and interpolation for a normal random
number generator",
number = "77-2",
publisher = "US Army Research Office",
address = "Research Triangle Park, NC, USA",
bookpages = "xiv + 344",
pages = "153--164",
year = "1977",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Thu Mar 08 20:57:49 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "ARO Report",
acknowledgement = ack-nhfb,
}
@Article{Swick:1977:HRA,
author = "D. A. Swick",
title = "Harmonic Relationships Among Random Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "33",
number = "3",
pages = "490--498",
month = nov,
year = "1977",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Tashiro:1977:MGU,
author = "Yoshihiro Tashiro",
title = "On methods for generating uniform random points on the
surface of a sphere",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "29",
number = "1",
pages = "295--300",
month = "????",
year = "1977",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/BF02532791",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 18:19:56 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.springer.com/article/10.1007/BF02532791",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Vaduva:1977:CGG,
author = "I. V{\"a}duva",
title = "On computer generation of gamma random variables by
rejection and composition procedures",
journal = j-STATISTICS-BERLIN,
volume = "8",
number = "4",
pages = "545--576",
year = "1977",
CODEN = "MOSSD5",
DOI = "https://doi.org/10.1080/02331887708801401",
ISSN = "0323-3944",
ISSN-L = "0323-3944",
bibdate = "Wed Oct 8 11:23:12 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/statistics.bib",
acknowledgement = ack-nhfb,
fjournal = "Statistics (Berlin, DDR)",
journal-URL = "http://www.tandfonline.com/loi/gsta19",
}
@Article{Walker:1977:EMG,
author = "Alastair J. Walker",
title = "An Efficient Method for Generating Discrete Random
Variables with General Distributions",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "253--256",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355744.355749",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@Article{Yuen:1977:TRN,
author = "Chung-Kwong Yuen",
title = "Testing Random Number Generators by {Walsh}
Transform",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-26",
number = "4",
pages = "329--333",
month = apr,
year = "1977",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1977.1674842",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Mon Jul 11 21:56:54 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674842",
abstract = "A truly random sequence of numbers has an
asymptotically flat Walsh power spectrum. This fact is
used to devise a new test for the randomness of the
output of random number generators. Because it takes
little computing time to obtain the Walsh power
spectrum of even very long sequences, generators with
large periods can be tested. Some computed examples are
shown.",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Arvillias:1978:PPC,
author = "A. C. Arvillias and D. G. Maritsas",
title = "Partitioning the Period of a Class of $m$-Sequences
and Application to Pseudorandom Number Generation",
journal = j-J-ACM,
volume = "25",
number = "4",
pages = "675--686",
month = oct,
year = "1978",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/322092.322106",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A criterion is derived for the ``q-equipartition'' of
the period of m-sequences based on primitive trinomials
(PT's), 1 plus D**q plus D**p. It is shown that the
class of PT's with q equals 2**t, where t is an
integer, can be implemented efficiently so as to
produce in parallel q phase-shifted versions of the
same m-sequence with relative delays analytically
evaluated. These implementations lead to the
construction of efficient algorithms for the generation
of q-bit pseudorandom number sequences equivalent in
correlation performance to the Tausworthe-type
generators. The algorithms are of the GFSR type. The
advantage of utilizing the specific class of PT's is
that the initialization procedures is not required. The
corresponding linear recurrences directly yield coding
for the generators which deliver q-bit number sequences
uncorrelated over a length approximately equal to (2**p
minus 1)/q. It is important that three members of this
class, of degrees p equals 127, 175, 521, respectively,
are Mersenne prime.",
acknowledgement = ack-nhfb,
classification = "922",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "mathematical statistics",
}
@InProceedings{Best:1978:SAC,
author = "D. J. Best",
editor = "L. C. A. (Leo Caspar Antoon) Corsten and J. Hermans",
booktitle = "{COMPSTAT 1978: Proceedings in Computational
statistics: 3rd symposium held in Leiden 1978}",
title = "A simple algorithm for the computer generation of
random samples from a {Student}'s $t$ or symmetric beta
distribution",
publisher = pub-PHYSICA-VERLAG,
address = pub-PHYSICA-VERLAG:adr,
bookpages = "540",
pages = "341--347",
year = "1978",
ISBN = "3-7908-0196-8 (paperback)",
ISBN-13 = "978-3-7908-0196-5 (paperback)",
LCCN = "QA276.4 .C192",
bibdate = "Wed Feb 22 09:57:51 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Castanie:1978:GRB,
author = "F. Castanie",
title = "Generation of Random Bits with Accurate and
Reproducible Statistical Properties",
journal = j-PROC-IEEE,
volume = "66",
number = "7",
pages = "865--870",
month = jul,
year = "1978",
CODEN = "IEEPAD",
ISSN = "0018-9219 (print), 1558-2256 (electronic)",
ISSN-L = "0018-9219",
bibdate = "Thu Feb 02 17:27:32 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the IEEE",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}
@Article{Cheng:1978:GBV,
author = "R. C. H. Cheng",
title = "Generating beta variates with nonintegral shape
parameters",
journal = j-CACM,
volume = "21",
number = "4",
pages = "317--322",
month = apr,
year = "1978",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65C10",
MRnumber = "58 13609",
MRreviewer = "George Marsaglia",
bibdate = "Mon Jan 22 06:30:47 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm21.html#Cheng78;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Univ. of Wales Inst. of Sci. and Technol., Cardiff,
UK",
country = "USA",
descriptors = "RVG",
enum = "7128",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "beta variates; computer timings; generating; method;
nonintegral shape parameters; random number generation;
random numbers; rejection; simplicity; speed;
statistics",
location = "SEL: Wi",
oldlabel = "Cheng78",
references = "0",
revision = "16/01/94",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Cheng78",
}
@Article{Dagpunar:1978:SVT,
author = "J. S. Dagpunar",
title = "Sampling of variates from a truncated gamma
distribution",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "8",
number = "1",
pages = "59--64",
year = "1978",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657808810248",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Apr 22 09:10:43 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@TechReport{DiDonato:1978:CBN,
author = "A. R. DiDonato and M. P. {Jarnagin, Jr.} and R. K.
Hageman",
title = "Computation of the Bivariate Normal Distribution over
Convex Polygons",
type = "Report",
number = "NSWC/DL-TR-3886",
institution = "Naval Surface Weapons Center",
address = "Dahlgren, VA 22448, USA",
pages = "v + 46 + 7",
month = sep,
year = "1978",
bibdate = "Wed Nov 12 09:05:32 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a069406.pdf",
abstract = "A procedure is given for computing the bivariate
normal probability over an angular region or a convex
polygon. The procedure is implemented into a Fortran IV
computer program which is designed to yield $3$, $6$,
or $9$ decimal digits of accuracy. Comparisons with two
other published methods, for the same achievable
accuracy, show our program to be much faster.",
acknowledgement = ack-nhfb,
}
@Book{Fishman:1978:PDE,
author = "George S. Fishman",
title = "Principles of Discrete Event Simulation",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xviii + 514",
year = "1978",
ISBN = "0-471-04395-8",
ISBN-13 = "978-0-471-04395-9",
LCCN = "T57.62 .F59",
bibdate = "Thu Jan 5 14:22:25 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Wiley series on systems engineering and analysis",
acknowledgement = ack-nhfb,
subject = "Digital computer simulation",
}
@TechReport{Fishman:1978:SEM,
author = "George S. Fishman and Louis R. {Moore III}",
title = "A statistical evaluation of multiplicative
congruential generators with modulus $ 2^{-31} - 1 $",
type = "Technical report",
number = "78-11",
institution = "University of North Carolina at Chapel Hill",
address = "Chapel Hill, NC, USA",
pages = "v + 19 + 2",
month = dec,
year = "1978",
bibdate = "Thu Jan 12 12:21:57 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a063858.pdf;
http://www.or.unc.edu/research/temp/tech70b.html",
abstract = "This paper presents the results of empirically testing
eight alternative multipliers for a multiplicative
congruential generator with modulus $ 2^{31} - 1 $. The
LLRANDOM number package (Learmonth and Lewis,1973) uses
one of the multipliers, the simulation programming
language SIMSCRIPT II uses a second and the remaining
six are the best of $ 50 $ candidate multipliers
studied by Hoaglin (1976) using the theoretical
spectral and lattice tests . The battery of tests
raises serious doubts about three of the multipliers,
including the one in LLRANDOM . The power of the tests
is demonstrated by their rejection of RANDU, a notably
poor random number generator. A comparison of the
results for the eight multipliers with the eight worst
multipliers (with regard to $2$-tuples) in Hoaglin
(1976) failed to show any apparent gross differences.
Since examination of performance on the lattice test
revealed that the $ 16$ multipliers clustered in
performance when compared to RANDU, one may conjecture
that the poorer lattice test performance for the worst
eight is too subtle for detection by our empirical
tests. Since this failure may not be as serious as the
lattice test implies, one may want to revise upward the
criteria for acceptable performance on the lattice
tests and similarly on the spectral test. In section 9
an analysis of algorithms for generating random numbers
reveals that the choice of coding can significantly
affect execution time for different multipliers.",
acknowledgement = ack-nhfb,
}
@TechReport{Frigerio:1978:TTR,
author = "N. A. Frigerio and N. Clark and S. Tyler",
title = "Toward Truly Random Numbers",
type = "Report",
number = "ANL/ES-26 Part 4",
institution = inst-ARGONNE,
address = inst-ARGONNE:adr,
year = "1978",
bibdate = "Mon Jan 16 11:04:29 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "true random numbers from physical sources",
}
@Article{Galperin:1978:LPC,
author = "E. A. Galperin",
title = "Loop Properties and Controllability of Linear
Congruential Sequences",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-27",
number = "1",
pages = "68--76",
month = jan,
year = "1978",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1978.1674954",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Mon Jul 11 08:13:25 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674954",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Garpman:1978:STP,
author = "S. Garpman and J. Randrup",
title = "Statistical tests for pseudorandom number generators",
journal = j-COMP-PHYS-COMM,
volume = "15",
number = "1--2",
pages = "5--13",
month = sep,
year = "1978",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(78)90080-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Jan 16 21:31:38 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465578900802",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Gaver:1978:PNA,
author = "Donald P. Gaver",
title = "Pseudorandom Number Assignment in Statistically
Designed Simulation and Distribution Sampling
Experiments: Comment",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "363",
pages = "522",
month = sep,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Sat Dec 31 10:36:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Schruben:1978:PNAa}.",
URL = "http://www.jstor.org/stable/pdfplus/2286593.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Geller:1978:SEW,
author = "Nancy L. Geller",
title = "Some Examples of the Weak and Strong Laws of Large
Numbers for Averages of Mutually Independent Random
Variables",
journal = j-AMER-STAT,
volume = "32",
number = "1",
pages = "34--36",
month = feb,
year = "1978",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Fri Jan 27 10:52:21 MST 2012",
bibsource = "http://www.jstor.org/journals/00031305.html;
http://www.jstor.org/stable/i326397;
https://www.math.utah.edu/pub/tex/bib/amstat1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2683474",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Hoaglin:1978:SAR,
author = "David C. Hoaglin and Max L. King",
title = "Statistical Algorithms: {Remark AS R24}: a Remark on
{Algorithm AS 98}: The Spectral Test for the Evaluation
of Congruential Pseudo-Random Generators",
journal = j-APPL-STAT,
volume = "27",
number = "3",
pages = "375--377",
year = "1978",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:17 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Golder:1976:SAA,Golder:1976:SAR}.",
URL = "http://lib.stat.cmu.edu/apstat/98;
http://www.jstor.org/stable/pdfplus/2347183.pdf",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@TechReport{Hollander:1978:TDU,
author = "Myles Hollander and Frank Proschan",
title = "Testing to Determine the Underlying Distribution Using
Randomly Censored Data",
type = "{FSU} Statistics Report",
number = "M458",
institution = "Department of Statistics, The Florida State
University",
address = "Tallahassee, FL 32306, USA",
pages = "18",
month = apr,
year = "1978",
bibdate = "Wed Nov 12 08:40:48 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Also issued as AFOSR Technical Report No. 6 and AFOSR
Technical Report No. 79.",
URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a054978.pdf",
abstract = "For right-censored data, we develop a goodness-of-fit
procedure for testing whether the underlying
distribution is a specified function $G$. Our test
statistic $C$ is the one-sample limit of Efron's (1967)
two-sample statistic $W$. The test based on $C$ is
compared with recently proposed competitors due to
Koziol and Green (1976) and Hyde (1977). The
comparisons are on the basis of (i) applicability, (ii)
the extent to which the censoring distribution can
affect the inference, and (iii) power. It is shown that
in certain situations the $C$ test compares favourably
with the tests of Koziol--Green and Hyde .",
acknowledgement = ack-nhfb,
}
@Article{Holmlid:1978:UCP,
author = "Leif Holmlid and Kjell Rynefors",
title = "Uniformity of congruential pseudorandom number
generators. {Dependence} on length of number sequence
and resolution",
journal = j-J-COMPUT-PHYS,
volume = "26",
number = "3",
pages = "297--306",
month = mar,
year = "1978",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(78)90072-4",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Dec 31 08:29:49 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999178900724",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Kemp:1978:CGB,
author = "C. D. Kemp and S. Loukas",
title = "The Computer Generation of Bivariate Discrete Random
Variables",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "141",
number = "4",
pages = "513--519",
month = "????",
year = "1978",
CODEN = "JSSAEF",
DOI = "https://doi.org/10.2307/2344486",
ISSN = "0035-9238",
ISSN-L = "0035-9238",
bibdate = "Sat Jan 24 11:18:14 MST 2015",
bibsource = "http://www.jstor.org/stable/i315985;
https://www.math.utah.edu/pub/tex/bib/jrss-a-1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2344486",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
}
@Article{Kiefer:1978:PNA,
author = "J. Kiefer",
title = "Pseudorandom Number Assignment in Statistically
Designed Simulation and Distribution Sampling
Experiments: Comment",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "363",
pages = "523--524",
month = sep,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Sat Dec 31 10:36:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Schruben:1978:PNAa}.",
URL = "http://www.jstor.org/stable/pdfplus/2286594.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@TechReport{Kinderman:1978:RDC,
author = "A. J. Kinderman and J. F. Monahen",
title = "Recent Developments in the Computer Generation of
{Student} s $t$ and Gamma Random Variables",
type = "Technical Report",
number = "AMD-799, BNL-24679",
institution = "Brookhaven National Laboratory",
address = "Long Island, NY, USA",
pages = "??",
year = "1978",
bibdate = "Tue Nov 29 07:08:53 2022",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Li:1978:EMN,
author = "T-Y. Li and J. A. Yorke",
title = "Ergodic maps on $ [0, 1] $ and non-linear pseudorandom
number generators",
journal = j-NONLINEAR-ANAL,
volume = "2",
number = "??",
pages = "473--481",
month = "????",
year = "1978",
CODEN = "NOANDD",
ISSN = "0362-546X (print), 1873-5215 (electronic)",
ISSN-L = "0362-546X",
bibdate = "Mon Jan 16 21:32:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Nonlinear Analysis, Theory, Methods and Applications",
}
@Article{Mallows:1978:PNA,
author = "Colin L. Mallows",
title = "Pseudorandom Number Assignment in Statistically
Designed Simulation and Distribution Sampling
Experiments: Comment",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "363",
pages = "520",
month = sep,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Sat Dec 31 10:36:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Schruben:1978:PNAa}.",
URL = "http://www.jstor.org/stable/pdfplus/2286591.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Maritsas:1978:PSA,
author = "D. G. Maritsas and A. C. Arvillias and A. C. Bounas",
title = "Phase-Shift Analysis of Linear Feedback Shift Register
Structures Generating Pseudorandom Sequences",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-27",
number = "7",
pages = "660--669",
month = jul,
year = "1978",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1978.1675166",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Mon Jul 11 08:13:30 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675166",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Nance:1978:SEO,
author = "Richard E. Nance and Claude {Overstreet, Jr.}",
title = "Some Experimental Observations on the Behavior of
Composite Random Number Generators",
journal = j-OPER-RES,
volume = "26",
number = "5",
pages = "915--935",
month = sep # "\slash " # oct,
year = "1978",
CODEN = "OPREAI",
DOI = "https://doi.org/10.1287/opre.26.5.915",
ISSN = "0030-364X (print), 1526-5463 (electronic)",
ISSN-L = "0030-364X",
bibdate = "Wed Dec 21 10:17:36 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/170084",
acknowledgement = ack-nhfb,
fjournal = "Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/opre",
}
@Article{Niederreiter:1978:EGL,
author = "Harald Niederreiter",
title = "Existence of good lattice points in the sense of
{Hlawka}",
journal = j-MONAT-MATH,
volume = "86",
number = "3",
pages = "203--219",
month = sep,
year = "1978--1979",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/BF01659720",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "10K05 (65D99)",
MRnumber = "517026 (80e:10039)",
MRreviewer = "L. Kuipers",
bibdate = "Thu Jan 19 08:45:41 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
}
@Article{Niederreiter:1978:QMC,
author = "Harald Niederreiter",
title = "Quasi-{Monte Carlo} Methods and Pseudo-Random
Numbers",
journal = j-BULL-AMS,
volume = "84",
number = "6",
pages = "957--1041",
month = nov,
year = "1978",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1978-14532-7",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
MRclass = "65C05 (10K15 65C10 68J05)",
MRnumber = "508447 (80d:65016)",
MRreviewer = "George Marsaglia",
bibdate = "Sat Mar 08 10:53:58 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.ams.org/bull/1978-84-06/S0002-9904-1978-14532-7/S0002-9904-1978-14532-7.pdf",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
tableofcontents = "1. Introduction \\
Part I. Quasi-Monte Carlo Methods \\
2. Quasi-Monte Carlo integration \\
3. Quasi-random points \\
4. Good lattice points \\
5. Application of diophantine approximations \\
Part II. Pseudo-Random Numbers \\
6. Random numbers vs. pseudo-random numbers \\
7. Linear congruential pseudo-random numbers \\
8. Exponential sums \\
9. Equidistribution test \\
10. Interdependence of successive",
}
@Article{Niederreiter:1978:STLa,
author = "Harald Niederreiter",
title = "The Serial Test for Linear Congruential Pseudo-random
Numbers",
journal = j-BULL-AMS,
volume = "84",
number = "2",
pages = "273--274",
month = "????",
year = "1978",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
MRclass = "65C10 (10K05)",
MRnumber = "MR0458791 (56 #16991)",
bibdate = "Thu Jan 05 10:58:18 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@InProceedings{Niederreiter:1978:STLb,
author = "H. Niederreiter",
editor = "L. Corsten and J. Hermans",
booktitle = "{Proceedings of COMPSTAT 1978}",
title = "Statistical tests for linear congruential pseudorandom
numbers",
publisher = "Physica Verlag",
address = "????",
pages = "398--404",
year = "1978",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Mon Jan 16 21:34:27 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Padgett:1978:CCI,
author = "W. J. Padgett",
title = "{C21}. {Comment} on inverse {Gaussian} random number
generation",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "8",
number = "1",
pages = "78--79",
year = "1978",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657808810251",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Apr 22 09:10:43 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Romankevich:1978:MCN,
author = "A. M. Romankevich",
title = "A method of construction of nonlinear generators of
pseudorandom sequences",
journal = j-CYBER,
volume = "14",
number = "1",
pages = "141--142",
month = jan,
year = "1978",
CODEN = "CYBNAW",
DOI = "https://doi.org/10.1007/BF01207141",
ISSN = "0011-4235 (print), 2375-0189 (electronic)",
bibdate = "Mon Jan 16 21:35:56 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.springer.com/article/10.1007/BF01207141",
acknowledgement = ack-nhfb,
fjournal = "Cybernetics",
journal-URL = "http://link.springer.com/journal/10559",
}
@Article{Sakasegawa:1978:GNP,
author = "Hirotaka Sakasegawa",
title = "On a generation of normal pseudo-random numbers",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "30",
number = "1",
pages = "271--279",
month = "????",
year = "1978",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/BF02480218",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 18:19:56 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.springer.com/article/10.1007/BF02480218",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@TechReport{Schmeiser:1978:GVD,
author = "Bruce W. Schmeiser",
title = "Generation of Variates from Distribution Tails",
type = "Technical Report",
number = "78008",
institution = "Department of Operations Research and Engineering
Management, Southern Methodist University",
address = "Dallas, TX 75275, USA",
pages = "??",
year = "1978",
bibdate = "Wed Nov 12 09:02:59 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Schmeiser:1978:SMG,
author = "Bruce W. Schmeiser",
title = "Squeeze methods for generating gamma variates",
type = "Technical Report",
number = "OREM-78009",
institution = "Department of Operations Research and Engineering
Management, Southern Methodist University",
address = "Dallas, TX 75275, USA",
pages = "21",
month = jul,
year = "1978",
bibdate = "Wed Nov 12 08:48:10 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a060388.pdf",
abstract = "Two algorithms are given for generating gamma
distributed random variables. The algorithms, which are
valid when the shape parameter is greater than one, use
a uniform majorizing function for the body of the
distribution and exponential majorizing functions for
the tails . The algorithms are self-contained,
requiring only $ U(0, 1) $ variates. Comparisons are
made to three competitive algorithms in terms of
marginal generation times, initialization time, and
memory requirements. Both algorithms are faster than
existing methods, for all values of the shape
parameter.",
acknowledgement = ack-nhfb,
}
@Article{Schruben:1978:PNAa,
author = "Lee W. Schruben and Barry H. Margolin",
title = "Pseudorandom Number Assignment in Statistically
Designed Simulation and Distribution Sampling
Experiments",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "363",
pages = "504--520",
month = sep,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Sat Dec 31 10:36:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See discussion
\cite{Gaver:1978:PNA,Kiefer:1978:PNA,Mallows:1978:PNA,Schruben:1978:PNAb,Simon:1978:PNA}.",
URL = "http://www.jstor.org/stable/pdfplus/2286590.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
remark = "According to \cite[page 68]{Eddy:1990:RNG}, this paper
may be the first to suggest generating streams of
random numbers for parallel computers by starting with
different seeds. Eddy states ``the expected length of
the shortest disjoint stream under this method is the
period length of the generator divided by the square of
the number of processors''.",
}
@Article{Schruben:1978:PNAb,
author = "Lee W. Schruben and Barry H. Margolin",
title = "Pseudorandom Number Assignment in Statistically
Designed Simulation and Distribution Sampling
Experiments: Rejoinder",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "363",
pages = "524--525",
month = sep,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Sat Dec 31 10:36:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Schruben:1978:PNAa}.",
URL = "http://www.jstor.org/stable/pdfplus/2286595.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Simon:1978:PNA,
author = "Gary A. Simon",
title = "Pseudorandom Number Assignment in Statistically
Designed Simulation and Distribution Sampling
Experiments: Comment",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "363",
pages = "520--521",
month = sep,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Sat Dec 31 10:36:04 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See \cite{Schruben:1978:PNAa}.",
URL = "http://www.jstor.org/stable/pdfplus/2286592.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Singh:1978:CPP,
author = "Jagbir Singh",
title = "A Characterization of Positive {Poisson} Distribution
and its Statistical Application",
journal = j-SIAM-J-APPL-MATH,
volume = "34",
number = "3",
pages = "545--548",
month = may,
year = "1978",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classification = "A0250 (Probability theory, stochastic processes, and
statistics)",
corpsource = "Dept. of Statistics, Temple Univ., Philadelphia, PA,
USA",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
keywords = "characterisation; independent nonnegative random
variables; joint conditional distribution; numerical
example; positive Poisson distribution; statistical
analysis; statistical application",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Sowey:1978:SCB,
author = "E. R. Sowey",
title = "A Second Classified Bibliography on Random Number
Generation and Testing",
journal = j-INT-STAT-REV,
volume = "46",
number = "1",
pages = "89--102",
month = apr,
year = "1978",
CODEN = "ISTRDP",
ISSN = "0306-7734 (print), 1751-5823 (electronic)",
ISSN-L = "0306-7734",
bibdate = "Fri Jul 01 07:54:55 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/i261095",
acknowledgement = ack-nhfb,
fjournal = "International Statistical Review / Revue
Internationale de Statistique",
journal-URL = "http://www.jstor.org/journals/03067734.html",
}
@Article{Starner:1978:EID,
author = "J. W. Starner and W. L. Shepherd",
title = "Efficient Inverse Distribution Type Normal Random
Number Generator",
journal = j-SIAM-REVIEW,
volume = "20",
number = "3",
pages = "635--635",
month = "????",
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Fri Jun 21 11:25:02 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Tadikamalla:1978:CGGa,
author = "Pandu R. Tadikamalla",
title = "Computer Generation of Gamma Random Variables",
journal = j-CACM,
volume = "21",
number = "5",
pages = "419--422",
month = may,
year = "1978",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65C10",
MRnumber = "58 13614",
MRreviewer = "George Marsaglia",
bibdate = "Mon Jan 22 07:25:17 MST 2001",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1978.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm21.html#Tadikamalla78;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A new method for generating random variables from the
gamma distribution with nonintegral shape parameter
alpha is proposed. This method is similar to two other
methods recently given by N. D. Wallace and G. S.
Fishman. It is compared with Fishman's and J. H. Ahrens
and Ulrich Dieter's methods. The core storage
requirements and programming effort for this method are
similar to those of Fishman's method. The proposed
method is the same as Fishman's method for 1 less than
equivalent to alpha less than 2 and is faster than
Fishman's method for 3 less than equivalent to alpha
less than equivalent to 19. Also, the proposed method
is much simpler than Ahrens and Dieter's method and is
faster for alpha less than equivalent to 8.",
acknowledgement = ack-nhfb,
classcodes = "C1140 (Probability and statistics); C7310 (Mathematics
computing)",
classification = "723; 922",
corpsource = "Eastern Kentucky Univ., Richmond, KY, USA",
country = "USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7943",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "computer programming; core; gamma distribution; gamma
random variables; generating; mathematical statistics
--- Random Number Generation; programming effort;
statistics; storage requirements",
oldlabel = "Tadikamalla78",
references = "0",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Tadikamalla78",
}
@Article{Tadikamalla:1978:CGGb,
author = "Pandu R. Tadikamalla",
title = "Computer Generation of Gamma Random Variables ---
{II}",
journal = j-CACM,
volume = "21",
number = "11",
pages = "925--928",
month = nov,
year = "1978",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:25:18 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1978.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm21.html#Tadikamalla78a;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classcodes = "C1140Z (Other topics in statistics); C7310
(Mathematics computing)",
corpsource = "Univ. of Pittsburgh, Pittsburgh, PA, USA",
country = "USA",
descriptors = "RVG",
enum = "7944",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "computational; computer generation; core; gamma random
variables; nonintegral shape parameter; programming
effort; random processes; statistics; storage
requirements; times",
oldlabel = "Tadikamalla78a",
references = "0",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Tadikamalla78a",
}
@Article{Whitmore:1978:NLT,
author = "G. A. Whitmore and M. Yalovsky",
title = "A Normalizing Logarithmic Transformation for Inverse
{Gaussian} Random Variables",
journal = j-TECHNOMETRICS,
volume = "20",
number = "2",
pages = "207--208",
month = may,
year = "1978",
CODEN = "TCMTA2",
DOI = "https://doi.org/10.2307/1268715",
ISSN = "0040-1706 (print), 1537-2723 (electronic)",
ISSN-L = "0040-1706",
bibdate = "Sat Jun 21 13:18:43 MDT 2014",
bibsource = "http://www.jstor.org/journals/00401706.html;
http://www.jstor.org/stable/i254294;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/technometrics1970.bib",
URL = "http://www.jstor.org/stable/1268715",
acknowledgement = ack-nhfb,
fjournal = "Technometrics",
journal-URL = "http://www.jstor.org/journals/00401706.html",
}
@Book{Zielinski:1978:EZP,
author = "Ryszard Zieli{\'n}ski",
title = "{Erzeugung von Zufallszahlen: Programmierung und Test
Digitalrechnern}. ({German}) [{Generation} of random
numbers: Programming and test digital computation]",
publisher = "Ham Deutsch",
address = "Frankfurt, West Germany; Thun, Switzerland",
pages = "xiii + 160",
year = "1978",
ISBN = "3-87144-404-9",
ISBN-13 = "978-3-87144-404-3",
LCCN = "????",
bibdate = "Tue Jan 10 16:12:50 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "French",
remark = "German translation by Peter Neumann of the Polish
original \booktitle{Generatory liczb losowych}.",
}
@Article{Anonymous:1979:BRT,
author = "Anonymous",
title = "Book Reviews: {Tables of Random Times}, by {I. D.
Hill} and {P. A. Hill}",
journal = j-APPL-STAT,
volume = "28",
number = "1",
pages = "72--72",
year = "1979",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:29 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{Apostolopoulos:1979:IAN,
author = "N. Apostolopoulos and G. Schuff",
title = "Initializing algorithms: a note to the article:
{``Computer methods for sampling from gamma, beta,
Poisson and binomial distributions'' [Computing {\bf
12} (1974), no. 3, 223--246; {MR {\bf 52}} \#15949] by
J. H. Ahrens and Ulrich Dieter}",
journal = j-COMPUTING,
volume = "22",
number = "2",
pages = "185--189",
month = jun,
year = "1979",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65C10 (65U05)",
MRnumber = "83c:65010",
bibdate = "Thu Oct 14 11:56:25 MDT 1999",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
note = "See \cite{Ahrens:1974:CMS}.",
acknowledgement = ack-nhfb,
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Atkinson:1979:CGP,
author = "A. C. Atkinson",
title = "The Computer Generation of {Poisson} Random
Variables",
journal = j-APPL-STAT,
volume = "28",
number = "??",
pages = "29--35",
month = "????",
year = "1979",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Thu Jan 05 10:24:44 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{Atkinson:1979:FSA,
author = "A. C. Atkinson",
title = "A Family of Switching Algorithms for the Computer
Generation of Beta Random Variables",
journal = j-BIOMETRIKA,
volume = "66",
number = "1",
pages = "141--145",
month = apr,
year = "1979",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.1093/biomet/66.1.141;
https://doi.org/10.2307/2335253",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "65C10",
MRnumber = "529158 (80c:65019)",
bibdate = "Sat Jun 21 14:34:18 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315490;
https://www.math.utah.edu/pub/tex/bib/biometrika1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2335253",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
}
@Article{Atkinson:1979:RDC,
author = "A. C. Atkinson",
title = "Recent Developments in the Computer Generation of
{Poisson} Random Variables",
journal = j-APPL-STAT,
volume = "28",
number = "??",
pages = "260--263",
month = "????",
year = "1979",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Thu Jan 05 10:24:44 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{Atkinson:1979:SAA,
author = "A. C. Atkinson and J. Whittaker",
title = "Statistical Algorithms: {Algorithm AS 134}: The
Generation of Beta Random Variables with one Parameter
Greater than and One Parameter Less than $1$",
journal = j-APPL-STAT,
volume = "28",
number = "1",
pages = "90--93",
month = mar,
year = "1979",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:29 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://lib.stat.cmu.edu/apstat/134",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Imperial Coll., London, UK",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "beta random variables; generation; random number
generation; subroutines",
treatment = "T Theoretical or Mathematical",
}
@Book{Atkinson:1979:SGI,
author = "A. C. (Anthony Curtis) Atkinson",
title = "The simulation of generalised inverse {Gaussian},
generalised hyperbolic, gamma, and related random
variables",
publisher = "Department of Theoretical Statistics, Institute of
Mathematics, University of Aarhus",
address = "{\AA}rhus, Denmark",
pages = "48 (various)",
year = "1979",
LCCN = "QA273.6 .A84",
bibdate = "Tue Apr 29 20:39:05 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/probstat1970.bib;
z3950.loc.gov:7090/Voyager",
series = "Research reports --- Department of Theoretical
Statistics, University of Aarhus; no. 52",
acknowledgement = ack-nhfb,
subject = "Distribution (Probability theory); Data processing",
}
@Article{Bache:1979:APP,
author = "Niels Bache",
title = "Approximate percentage points for the distribution of
a product of independent positive random variables",
journal = j-APPL-STAT,
volume = "28",
number = "2",
pages = "158--162",
year = "1979",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:32 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C1140Z (Other topics in statistics)",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "distribution; independent positive random; percentage
points; statistical analysis; variables",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Bentley:1979:AGS,
author = "J. L. Bentley and J. B. Saxe",
title = "Algorithm: Generating sorted lists of randoms",
type = "Report",
number = "CMU-CS-79-113",
institution = "Department of Computer Science, Carnegie-Mellon
University",
address = "Pittsburgh, PA, USA",
month = mar,
year = "1979",
bibdate = "Thu Mar 01 09:42:40 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Published in \cite{Bentley:1980:GSL}.",
acknowledgement = ack-nhfb,
}
@Article{Best:1979:SEP,
author = "D. J. Best",
title = "Some Easily Programmed Pseudo-Random Normal
Generators",
journal = j-AUSTRALIAN-COMP-J,
volume = "11",
number = "2",
pages = "60--62",
year = "1979",
CODEN = "ACMJB2",
ISSN = "0004-8917",
bibdate = "Fri Mar 09 17:54:03 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "The virtues of easily programmed algorithms are
explained and then, after brief description, a
comparison is made of six such algorithms for
generating normal deviates. The six algorithms are
compared with respect to speed on a CDC 7600 and in
terms of the average numbers of random numbers and
mathematical functions needed to generate one normal
deviate.",
acknowledgement = ack-nhfb,
fjournal = "Australian Computer Journal",
keywords = "Gaussian distribution; Normal distribution; random
number generators; simulation",
}
@Article{Braaten:1979:ILD,
author = "Eric Braaten and George Weller",
title = "An improved low-discrepancy sequence for
multidimensional quasi-{Monte Carlo} integration",
journal = j-J-COMPUT-PHYS,
volume = "33",
number = "2",
pages = "249--258",
month = nov,
year = "1979",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(79)90019-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:35 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See improvements in \cite{Okten:2009:GNK}.",
URL = "http://www.sciencedirect.com/science/article/pii/0021999179900196",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Bright:1979:QRN,
author = "Herbert S. Bright and Richard L. Enison",
title = "Quasi-Random Number Sequences from a Long-Period {TLP}
Generator with Remarks on Application to Cryptography",
journal = j-COMP-SURV,
volume = "11",
number = "4",
pages = "357--370",
month = dec,
year = "1979",
CODEN = "CMSVAN",
DOI = "https://doi.org/10.1145/356789.356795",
ISSN = "0010-4892",
ISSN-L = "0360-0300",
bibdate = "Thu Jun 19 09:25:45 MDT 2008",
bibsource = "http://www.acm.org/pubs/contents/journals/surveys/;
https://www.math.utah.edu/pub/tex/bib/compsurv.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Computing Surveys",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J204",
}
@InProceedings{Brown:1979:CPNa,
author = "Mark Brown and Herbert Solomon",
editor = "Anonymous",
booktitle = "{Proceedings of the Twenty-Fourth Conference on the
Design of Experiments, Mathematics Research Center,
University of Wisconsin, Madison, Wisconsin, 4--6
October 1978}",
title = "On Combining Pseudorandom Number Generators",
volume = "79-2",
publisher = "U.S. Army Research Office",
address = "P.0. Box 12211, Research Triangle Park, NC, USA",
bookpages = "xv + 416",
pages = "133--142",
month = jun,
year = "1979",
bibdate = "Wed Nov 12 09:34:39 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a070840.pdf",
acknowledgement = ack-nhfb,
}
@Article{Brown:1979:CPNb,
author = "Mark Brown and Herbert Solomon",
title = "On Combining Pseudorandom Number Generators",
journal = j-ANN-STAT,
volume = "7",
number = "3",
pages = "691--695",
month = may,
year = "1979",
CODEN = "ASTSC7",
ISSN = "0090-5364 (print), 2168-8966 (electronic)",
ISSN-L = "0090-5364",
bibdate = "Sat Sep 17 10:13:48 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2958754",
abstract = "A technique used in pseudorandom number generation is
to combine two or more different generators with the
goal of producing a new generator with improved
randomness properties. We study such a class of
generators and show that in a strong sense the combined
generator does offer improvement. Our approach applies
results from majorization theory.",
acknowledgement = ack-nhfb,
fjournal = "Annals of Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aos/",
}
@Article{Burford:1979:AVM,
author = "R. L. Burford",
title = "Additive vs multiplicative uniform pseudo-random
number generators in the generation of {Erlang}
variates",
journal = j-SIMULETTER,
volume = "10",
number = "3",
pages = "75--82",
year = "1979",
CODEN = "SIMUD5",
ISSN = "0163-6103",
bibdate = "Tue Mar 6 06:56:24 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Simuletter",
keywords = "comparison; Erlang distribution; linear congruential
generator",
remark = "This paper presents the comparative results of several
random numbers generators with an inverse transform to
generate {Erlang} random variates with $ \lambda = 1 $
and $ k = 3 $, $4$, $5$ and $6$. the results show that
two commonly used generators (a multiplicative and a
mixed one) produce unacceptable results. two others (an
additive one and a multiplicative one) produce
acceptable results.",
}
@Article{Cheng:1979:SSG,
author = "R. C. H. Cheng and G. M. Feast",
title = "Some Simple Gamma Variate Generators",
journal = j-APPL-STAT,
volume = "28",
number = "3",
pages = "290--295",
year = "1979",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:34 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@Article{delJunco:1979:HLV,
author = "A. del Junco and J. Michael Steele",
title = "{Hammersley's Law} for the {Van Der Corput} Sequence:
An Instance of Probability Theory for Pseudorandom
Numbers",
journal = j-ANN-PROBAB,
volume = "7",
number = "2",
pages = "267--275",
month = apr,
year = "1979",
CODEN = "APBYAE",
ISSN = "0091-1798 (print), 2168-894X (electronic)",
ISSN-L = "0091-1798",
bibdate = "Sun Apr 20 10:44:17 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/annprobab1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
URL = "http://projecteuclid.org/euclid.aop/1176995087;
http://www.jstor.org/stable/pdfplus/2242879.pdf",
acknowledgement = ack-nhfb,
fjournal = "Annals of Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aop",
}
@Article{Edgell:1979:SCD,
author = "Stephen E. Edgell",
title = "A statistical check of the {DECsystem-10 FORTRAN}
pseudorandom number generator",
journal = j-BEHAV-RES-METH-INSTR,
volume = "11",
number = "5",
pages = "529--530",
month = sep,
year = "1979",
CODEN = "BRMIAC",
DOI = "https://doi.org/10.3758/BF03201371",
ISSN = "0005-7878",
bibdate = "Fri Mar 09 08:17:39 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.springerlink.com/content/ah71321478333g10/",
acknowledgement = ack-nhfb,
fjournal = "Behavior Research Methods and Instrumentation",
remark = "The author reports successful passing of five
statistical tests by the {\tt ran()} generator:
frequency test, serial test, lagged product test, runs
up-and-down test, and runs above-and-below one-half,
but gives no information about the generator
algorithm.",
}
@Article{Good:1979:CCR,
author = "I. J. Good",
title = "{C52}: The clustering of random variables",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "9",
number = "3",
pages = "241--243",
month = "????",
year = "1979",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657908810323",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Sat Jan 07 08:18:00 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Book{Hammersley:1979:MCM,
author = "J. M. (John Michael) Hammersley and D. C. (David
Christopher) Handscomb",
title = "{Monte Carlo} methods",
publisher = pub-CHAPMAN-HALL,
address = pub-CHAPMAN-HALL:adr,
pages = "vii + 178",
year = "1979",
ISBN = "0-412-15870-1",
ISBN-13 = "978-0-412-15870-4",
LCCN = "QA298 .H354 1964",
bibdate = "Fri Jan 6 10:33:31 MST 2012",
bibsource = "clas.caltech.edu:210/INNOPAC;
fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Reprint of \cite{Hammersley:1964:MCM}.",
series = "Monographs on statistics and applied probability",
acknowledgement = ack-nhfb,
}
@Article{Heidelberger:1979:CSS,
author = "Philip Heidelberger and Donald L. Iglehart",
title = "Comparing Stochastic Systems Using Regenerative
Simulation with {Common Random Numbers}",
journal = j-ADV-APPL-PROB,
volume = "11",
number = "4",
pages = "804--819",
month = dec,
year = "1979",
CODEN = "AAPBBD",
ISSN = "0001-8678 (print), 1475-6064 (electronic)",
ISSN-L = "0001-8678",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/1426860",
acknowledgement = ack-nhfb,
fjournal = "Advances in Applied Probability",
journal-URL = "http://www.jstor.org/journals/00018678.html;
http://projecteuclid.org/euclid.aap/",
keywords = "Common Random Numbers (CRN)",
}
@Article{Hellman:1979:MPK,
author = "Martin E. Hellman",
title = "The Mathematics of Public-Key Cryptography",
journal = j-SCI-AMER,
volume = "241",
number = "2",
pages = "146--?? (Intl. ed. 130--139)",
month = aug,
year = "1979",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Tue May 19 18:01:43 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classification = "B6120B (Codes); C6130 (Data handling techniques);
C6160 (Database management systems (DBMS))",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "computer privacy; cryptography; electronic
communications; encoding; encryption; knapsack problem;
mathematics; P-NP problem; public key cryptography;
public-key cryptosystem; random numbers; security of
data; trap-door one-way functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Hill:1979:CPP,
author = "G. W. Hill",
title = "Cyclic properties of pseudo-random sequences of
{Mersenne} prime residues",
journal = j-COMP-J,
volume = "22",
number = "1",
pages = "80--85",
month = feb,
year = "1979",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
MRclass = "65C10 (10A99 68J05)",
MRnumber = "81a:65014",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/80.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/81.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/82.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/83.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/84.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_22/Issue_01/tiff/85.tif",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods); C7310 (Mathematics
computing); C7890 (Other special applications of
computing)",
classification = "723",
corpsource = "Div. of Mineral Chem., CSIRO, Port Melbourne, Vic.,
Australia",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "computer simulation; cyclic properties; Mersenne
prime; Mersenne prime residues; number theory; random
number generation; random numbers",
reviewer = "Paul Gray",
treatment = "T Theoretical or Mathematical",
}
@Article{Iglehart:1979:RSI,
author = "Donald L. Iglehart and Peter A. W. Lewis",
title = "Regenerative Simulation with Internal Controls",
journal = j-J-ACM,
volume = "26",
number = "2",
pages = "271--282",
month = apr,
year = "1979",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/322123.322132",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1979.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A new variance reduction technique called internal
control variables is introduced. This technique is to
be used in regenerative simulations. The idea is to
identify a sequence of control random variables, each
one defined within a regenerative cycle, whose mean can
be calculated analytically. These controls should be
highly correlated with the usual quantities observed in
a regenerative simulation. This correlation reduces the
variance of the estimate for the parameter of interest.
Numerical examples are included for the waiting time
process of an M/M/1 queue and for several Markov
chains.",
acknowledgement = ack-nhfb,
classification = "723; 922",
descriptors = "Simulation; control variable; independent cycles;
M/M/1; Markov process",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "computer simulation; probability --- Queueing Theory",
}
@Article{Kahaner:1979:EAD,
author = "David K. Kahaner and Mark B. Wells",
title = "An Experimental Algorithm for $ {N} $-Dimensional
Adaptive Quadrature",
journal = j-TOMS,
volume = "5",
number = "1",
pages = "86--96",
month = mar,
year = "1979",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355815.355821",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Aug 30 00:41:04 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Monte Carlo quadrature",
}
@TechReport{Kirby:1979:MFC,
author = "William H. Kirby",
title = "Machine-independent {FORTRAN} coding of {Lehmer}
random number generators",
type = "Open-file series",
number = "80- 004",
institution = "U.S. Geological Survey",
address = "Reston, VA, USA",
pages = "[i] + 11",
year = "1979",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Bibliography: leaf 9.",
keywords = "Random number generators --- Data processing.",
}
@Article{Kleijnen:1979:ASC,
author = "J. P. C. Kleijnen",
title = "Analysis of Simulation with {Common Random Numbers}: a
Note on {Heikes et al.}",
journal = "Simulette",
volume = "11",
number = "??",
pages = "7--13",
month = "????",
year = "1979",
CODEN = "????",
ISSN = "????",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "Common Random Numbers (CRN)",
}
@Article{Kronmal:1979:AMG,
author = "Richard A. Kronmal and Arthur V. {Peterson, Jr.}",
title = "On the alias method for generating random variables
from a discrete distribution",
journal = j-AMER-STAT,
volume = "33",
number = "4",
pages = "214--218",
month = "????",
year = "1979",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
MRclass = "65C10 (68J05)",
MRnumber = "81c:65010",
bibdate = "Mon May 5 09:19:29 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/tex/bib/amstat.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Lee:1979:DRC,
author = "Ru Ying Lee and Burt S. Holland and John A. Flueck",
title = "Distribution of a Ratio of Correlated Gamma Random
Variables",
journal = j-SIAM-J-APPL-MATH,
volume = "36",
number = "2",
pages = "304--320",
month = apr,
year = "1979",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
MRclass = "62E15",
MRnumber = "80f:62020",
MRreviewer = "Donald R. Jensen",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Monahan:1979:ENM,
author = "John F. Monahan",
title = "Extensions of {von Neumann}'s method for generating
random variables",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1065--1069",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65C10",
MRnumber = "80c:65022",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1979.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/mathcomp.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/MATHCOMP/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Statistics, North Carolina State Univ.,
Rayleigh, Rayleigh, NC, USA",
date = "13/05/93",
descriptors = "RVG",
enum = "7686",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algorithms; approximation theory; exponential
distribution; power series; random; variables
generation; von Neumann method",
location = "SEL: Wi",
references = "0",
revision = "16/01/94",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Moore:1979:RNG,
author = "J. L. Moore and F. H. Thomas",
title = "A random number generator for {BASIC} programs",
journal = "Computer Education",
volume = "33",
number = "??",
pages = "13--16",
month = "????",
year = "1979",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jan 16 21:27:47 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Nadas:1979:PP,
author = "Arthur Nadas",
title = "Probabilistic {PERT}",
journal = j-IBM-JRD,
volume = "23",
number = "3",
pages = "339--347",
month = may,
year = "1979",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "A solution is offered to the problem of determining a
probability distribution for the length of the longest
path from source (start) to sink (finish) in an
arbitrary PERT network (directed acyclic graph), as
well as determining associated probabilities that the
various paths are critical (``bottleneck
probabilities''). It is assumed that the durations of
delays encountered at a node are random variables
having known but arbitrary probability distributions
with finite expected values. The solution offered is,
in a certain sense, a worst-case bound over all
possible joint distributions of delays for given
marginal distributions for delays. This research was
motivated by the engineering problem of the timing
analysis of computer hardware logic block graphs where
randomness in circuit delay is associated with
manufacturing variations. The probability distribution
of the critical pathlength turns out to be a solution
of an unconstrained minimization problem, which can be
recast as a convex programming problem with linear
constraints. The probability that a given path is
critical turns out to be the Lagrange multiplier
associated with the constraint determined by the path.
The discrete version of the problem can be solved
numerically by means of various parametric linear
programming formulations, in particular by one which is
efficiently solved by Fulkerson's network flow
algorithm for project cost curves.",
acknowledgement = ack-nhfb,
classcodes = "C1140Z (Other topics in statistics); C1180
(Optimisation techniques); C1290F (Systems theory
applications in industry)C4190 (Other numerical
methods)",
classification = "723; 922",
corpsource = "IBM Data Systems Div. Lab., Hopewell Junction, NY,
USA",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
journalabr = "IBM J Res Dev",
keywords = "circuit delay; convex programming; cost curves;
critical path method; data processing; directed acyclic
graph; Fulkerson's network flow algorithm; linear;
linear programming; minimisation; PERT; probability;
probability distribution; programming; project;
unconstrained minimisation",
treatment = "T Theoretical or Mathematical",
}
@Article{Niki:1979:CMF,
author = "Naoto Niki",
title = "Corrections to {``Multi-folding the normal
distribution and mutual transformation between uniform
and normal random variables''}",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "31",
number = "1",
pages = "349--349",
month = "????",
year = "1979",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/BF02480292",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 18:19:56 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See \cite{Niki:1979:MFN}.",
URL = "http://link.springer.com/accesspage/article/10.1007/BF02480292",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Niki:1979:MFN,
author = "Naoto Niki",
title = "Multi-folding the normal distribution and mutual
transformation between uniform and normal random
variables",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "31",
number = "1",
pages = "125--140",
month = "????",
year = "1979",
CODEN = "AISXAD",
DOI = "https://doi.org/10.1007/BF02480270",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Sat Jan 31 16:59:49 MST 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/anninststatmath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "See corrections \cite{Niki:1979:CMF}.",
URL = "http://link.springer.com/article/10.1007/BF02480270",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics",
journal-URL = "http://link.springer.com/journal/10463",
}
@Article{Pangratz:1979:PRN,
author = "H. Pangratz and H. Weinrichter",
title = "Pseudo-Random Number Generator Based on Binary and
Quinary Maximal-Length Sequences",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-28",
number = "9",
pages = "637--642",
month = sep,
year = "1979",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1979.1675431",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Mon Jul 11 06:49:40 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675431",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Pavlov:1979:PNG,
author = "A. I. Pavlov and B. B. Pokhodzei",
title = "Pseudorandom numbers generated by linear recurrence
relations over a finite field",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "19",
number = "4",
pages = "38--44",
month = "????",
year = "1979",
CODEN = "CMMPA9",
DOI = "https://doi.org/10.1016/0041-5553(79)90154-X",
ISSN = "0041-5553 (print), 1878-2930 (electronic)",
ISSN-L = "0041-5553",
bibdate = "Mon Jan 16 21:28:43 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/004155537990154X",
acknowledgement = ack-nhfb,
fjournal = "U.S.S.R. Computational Mathematics and Mathematical
Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00415553",
}
@InCollection{Reeds:1979:CMC,
author = "James A. Reeds",
title = "Cracking a multiplicative congruential encryption
algorithm",
crossref = "Wang:1979:ILB",
pages = "467--472",
year = "1979",
MRclass = "94B99 (65C10)",
MRnumber = "80h:94040",
bibdate = "Fri Oct 25 18:39:09 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Ripley:1979:TRS,
author = "B. D. Ripley",
title = "Tests of randomness for spatial point patterns",
journal = j-J-R-STAT-SOC-SER-B-METHODOL,
volume = "41",
number = "??",
pages = "368--374",
month = "????",
year = "1979",
CODEN = "JSTBAJ",
ISSN = "0035-9246",
bibdate = "Tue Feb 07 09:35:37 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series B
(Methodological)",
journal-URL = "http://www.jstor.org/journals/00359246.html",
}
@TechReport{Roberts:1979:ITN,
author = "C. S. Roberts",
title = "Implementing and Testing New Versions of a Good 48-bit
Pseudo-random Number Generator",
type = "Report",
number = "1453 (TM 79-1353-5)",
institution = inst-ATT-BELL,
address = inst-ATT-BELL:adr,
pages = "??",
day = "4",
month = sep,
year = "1979",
bibdate = "Tue Jun 06 08:07:45 2023",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib",
abstract = "This paper describes the design, implementation,
testing, and use of drand48 --- a good pseudorandom
number generator based on the linear congruential
algorithm and 48-bit integer arithmetic.",
acknowledgement = ack-nhfb,
}
@Article{Rubin:1979:SCB,
author = "Frank Rubin",
title = "Solving a Cipher Based on Multiple Random Number
Streams",
journal = j-CRYPTOLOGIA,
volume = "3",
number = "3",
pages = "155--157",
month = jul,
year = "1979",
CODEN = "CRYPE6",
DOI = "https://doi.org/10.1080/0161-117991853972",
ISSN = "0161-1194 (print), 1558-1586 (electronic)",
ISSN-L = "0161-1194",
bibdate = "Mon Jun 30 15:38:28 MDT 2008",
bibsource = "http://www.dean.usma.edu/math/pubs/cryptologia/;
https://www.math.utah.edu/pub/tex/bib/cryptologia.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.informaworld.com/smpp/content~content=a741902796~db=all~order=page",
acknowledgement = ack-nhfb,
fjournal = "Cryptologia",
journal-URL = "http://www.tandfonline.com/loi/ucry20",
romanvolume = "III",
}
@Article{Sahai:1979:SSB,
author = "Hardeo Sahai",
title = "A supplement to {Sowey}'s bibliography on random
number generation and related topics",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "10",
number = "1",
pages = "31--52",
month = dec,
year = "1979",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949657908810345",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Tue Feb 07 08:03:22 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00949657908810345",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Schrage:1979:MPF,
author = "Linus Schrage",
title = "A More Portable {Fortran} Random Number Generator",
journal = j-TOMS,
volume = "5",
number = "2",
pages = "132--138",
month = jun,
year = "1979",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://doi.acm.org/10.1145/355826.355828",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@Article{Sobol:1979:ESS,
author = "I. M. Sobol'",
title = "Erratum: {``On the Systematic Search in a Hypercube''
[SIAM J. Numer. Anal. {\bf 16} (1979), no. 5, 790--793,
MR 80f:65072]}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "6",
pages = "1080--1080",
month = dec,
year = "1979",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65K10",
MRnumber = "81e:65029",
MRreviewer = "Derek W. Arthur",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
note = "See \cite{Sobol:1979:SSH}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Sobol:1979:SSH,
author = "I. M. Sobol'",
title = "On the Systematic Search in a Hypercube",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "5",
pages = "790--793",
month = oct,
year = "1979",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65K05 (65C10)",
MRnumber = "80f:65072",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
note = "See erratum \cite{Sobol:1979:ESS}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Tanemura:1979:RCP,
author = "M. Tanemura",
title = "On random complete packing by discs",
journal = j-ANN-INST-STAT-MATH-TOKYO,
volume = "31",
number = "Part B",
pages = "351--365",
month = "????",
year = "1979",
CODEN = "AISXAD",
ISSN = "0020-3157 (print), 1572-9052 (electronic)",
ISSN-L = "0020-3157",
bibdate = "Wed Feb 29 21:24:06 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/kepler.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of the Institute of Statistical Mathematics
(Tokyo)",
journal-URL = "http://link.springer.com/journal/10463",
keywords = "parking-lot test; sphere packing",
}
@Article{Tripathi:1979:RFI,
author = "V. S. Tripathi",
title = "{RANTEST} --- a {Fortran IV} program for testing
randomness of uniform pseudorandom numbers",
journal = j-COMP-GEOSCI,
volume = "5",
number = "??",
pages = "251--268",
month = "????",
year = "1979",
CODEN = "CGEODT, CGOSDN",
ISSN = "0098-3004 (print), 1873-7803 (electronic)",
ISSN-L = "0098-3004",
bibdate = "Mon Jan 16 21:30:07 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Computers and Geosciences",
}
@Article{vanLint:1979:PRA,
author = "J. H. {van Lint} and F. J. MacWilliams and N. J. A.
Sloane",
title = "On Pseudo-Random Arrays",
journal = j-SIAM-J-APPL-MATH,
volume = "36",
number = "1",
pages = "62--72",
month = feb,
year = "1979",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
MRclass = "05B15",
MRnumber = "80b:05011",
MRreviewer = "J.-M. Goethals",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2100768",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Wang:1979:MND,
author = "Y. H. Wang",
title = "Mathematical Notes: Dependent Random Variables with
Independent Subsets",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "4",
pages = "290--292",
month = apr,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:24 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Williams:1979:SPF,
author = "H. C. Williams and E. Seah",
title = "Some Primes of the Form $ (a^n - 1) / (a - 1) $",
journal = j-MATH-COMPUT,
volume = "33",
number = "148",
pages = "1337--1342",
month = oct,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25",
MRnumber = "80g:10014",
MRreviewer = "H. J. Godwin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "The primes in the title are of interest for
simplifying computations in the determination of
optimal parameters for linear and multiplicative
congruential generators.",
}
@Article{Wright:1979:ECR,
author = "R. D. Wright and T. E. {Ramsay, Jr.}",
title = "On the Effectiveness of {Common Random Numbers}",
journal = j-MANAGEMENT-SCIENCE,
volume = "25",
number = "7",
pages = "649--656",
month = jul,
year = "1979",
CODEN = "MSCIAM",
DOI = "https://doi.org/10.1287/mnsc.25.7.649",
ISSN = "0025-1909 (print), 1526-5501 (electronic)",
ISSN-L = "0025-1909",
bibdate = "Thu Jan 05 17:41:34 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Management Science",
journal-URL = "http://pubsonline.informs.org/loi/mnsc",
}
@Article{Ahrens:1980:SBP,
author = "J. H. Ahrens and Ulrich Dieter",
title = "Sampling from binomial and {Poisson} distributions: a
method with bounded computation times",
journal = j-COMPUTING,
volume = "25",
number = "3",
pages = "193--208",
month = sep,
year = "1980",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65U05",
MRnumber = "82e:65139",
bibdate = "Tue Jan 2 17:40:54 MST 2001",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date); MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Math. Seminar, Univ. Kiel, Kiel, West Germany",
classification = "C1140; C4240",
description = "computational complexity; statistical analysis",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "binomial distribution; Poisson distribution; random
numbers; sampling",
}
@Article{Atkinson:1980:TPR,
author = "A. C. Atkinson",
title = "Tests of Pseudo-Random Numbers",
journal = j-APPL-STAT,
volume = "29",
number = "2",
pages = "164--171",
year = "1980",
CODEN = "APSTAG",
DOI = "https://doi.org/10.2307/2986302",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:50 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Imperial Coll., London, UK",
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
keywords = "multiplicative generators; pseudo random numbers;
random number generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Basu:1980:RAEa,
author = "D. Basu",
title = "Randomization Analysis of Experimental Data: The
{Fisher} Randomization Test",
journal = j-J-AM-STAT-ASSOC,
volume = "75",
number = "371",
pages = "575--582",
month = sep,
year = "1980",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:55 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314255;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1980.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2287648",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Basu:1980:RAEb,
author = "D. Basu",
title = "Randomization Analysis of Experimental Data: The
{Fisher} Randomization Test Rejoinder",
journal = j-J-AM-STAT-ASSOC,
volume = "75",
number = "371",
pages = "593--595",
month = sep,
year = "1980",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Wed Jan 25 08:05:55 MST 2012",
bibsource = "http://www.jstor.org/journals/01621459.html;
http://www.jstor.org/stable/i314255;
https://www.math.utah.edu/pub/tex/bib/jamstatassoc1980.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/2287654",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Bentley:1980:GSL,
author = "Jon Louis Bentley and James B. Saxe",
title = "Generating Sorted Lists of Random Numbers",
journal = j-TOMS,
volume = "6",
number = "3",
pages = "359--364",
month = sep,
year = "1980",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65C10 (68-01)",
MRnumber = "81k:65010",
bibdate = "Mon Aug 29 10:57:24 1994",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://doi.acm.org/10.1145/355900.355907",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "linear-time algorithm; probabilistic methods in
algorithm design; random number generation; sorting",
remark = "See \cite{Fan:1962:DSP,Rouzankin:1999:CAR} for other
algorithms for selecting $n$ of $N$ values. The
Bentley--Saxe algorithm appears to be superior, because
it is short and simple, and runs in worst case time $
O(n) $ with storage $ O(1) $ (with immediate output) or
$ O(n) $ with array output, and the selected values are
sorted.",
remark-2 = "The final paragraph of the paper concludes: ``Although
we have described our method for generating sorted
lists of uniform random numbers, the same method can be
extended to generate sorted numbers from other
distributions. To generate numbers from distribution
$F$ for which the inverse $F^{-1}$ is known, it is only
necessary to apply the monotone function $F^{-1}$ to
each of the outputs of Program 3 or 4, and the
resulting sorted list will satisfy all the desired
properties.''",
reviewer = "George Marsaglia",
}
@Article{Brown:1980:GFG,
author = "T. Brown",
title = "General fast generation of random variables for
discrete distribution",
journal = j-SIMULETTER,
volume = "11, 4",
pages = "73--75",
year = "1980",
CODEN = "SIMUD5",
ISSN = "0163-6103",
bibdate = "Fri Jan 6 09:59:00 2012",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1980.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Recently a new method, the ALAIS method has been
introduced for generating a discrete, finite valued
distribution (1,2). The method is exceptionally fast
and can be broadly applied. It should have wide appeal.
The purpose of this note is to introduce the method,
place it in prospective with other fast, generally
applied methods and to provide a Fortran program to
generate constants needed by the method for any given
distribution.",
country = "USA",
date = "26/02/81",
descriptors = "RNG; RVG; method; table-look-up method",
enum = "422",
fjournal = "ACM Simuletter",
location = "RWTH-AC-DFV: Bibl.",
references = "5",
revision = "08/02/92",
}
@Article{Davies:1980:SAA,
author = "Robert B. Davies",
title = "Statistical Algorithms: {Algorithm AS 155}: The
Distribution of a Linear Combination of $ \chi^2 $
Random Variables",
journal = j-APPL-STAT,
volume = "29",
number = "3",
pages = "323--333",
month = sep,
year = "1980",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:52 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See remark \cite{Farebrother:1984:SARb}.",
URL = "http://lib.stat.cmu.edu/apstat/155",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@InProceedings{Dempster:1980:CEA,
author = "M. A. H. Dempster and A. Papagaki-Papoulias",
title = "Computational experience with an approximate method
for the distribution problem",
crossref = "Dempster:1980:SPP",
year = "1980",
bibdate = "Fri Jan 6 09:59:00 2012",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Misc/stoprog.bib.gz;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
classmath = "*90C15 Stochastic programming 65K05 Mathematical
programming (numerical methods) 65G10 Interval
arithmetic",
keywords = "approximate method; automatic error arithmetic;
computational experience; distribution problem;
interval arithmetic; linear equation solution; linear
program; quantile arithmetic; quantile version of
Hansen's method; random variables",
}
@Book{Edgington:1980:RT,
author = "Eugene S. Edgington",
title = "Randomization tests",
volume = "31",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "xii + 287",
year = "1980",
ISBN = "0-8247-6878-7",
ISBN-13 = "978-0-8247-6878-2",
LCCN = "QA277 .E32",
bibdate = "Thu Jan 26 12:03:32 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Statistics, textbooks and monographs",
acknowledgement = ack-nhfb,
subject = "Statistical hypothesis testing",
}
@Article{Farebrother:1980:SAA,
author = "R. W. Farebrother",
title = "Statistical Algorithms: {Algorithm AS 153}: {Pan}'s
Procedure for the Tail Probabilities of the
{Durbin--Watson} Statistic",
journal = j-APPL-STAT,
volume = "29",
number = "2",
pages = "224--227",
month = jun,
year = "1980",
CODEN = "APSTAG",
ISSN = "0035-9254 (print), 1467-9876 (electronic)",
ISSN-L = "0035-9254",
bibdate = "Sat Apr 21 10:22:50 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
note = "See remark
\cite{Farebrother:1984:SARa,Farebrother:1984:SARb}.",
URL = "http://lib.stat.cmu.edu/apstat/153",
acknowledgement = ack-nhfb,
fjournal = "Applied Statistics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}
@TechReport{Fishman:1980:NLR,
author = "G. S. Fishman",
title = "Notes on linear recurrence generators modulo $2$",
institution = "University of North Carolina",
address = "Chapel Hill, NC, USA",
year = "1980",
bibdate = "Mon Mar 5 22:00:16 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
keywords = "RNG; runs up and down test; runtime/storage
efficiency; shift register sequences; Tausworthe
generator",
}
@TechReport{Fishman:1980:SCM,
author = "George S. Fishman and Louis R. {Moore III}",
title = "In search of correlation in multiplicative
congruential generators with modulus $ 2^{-31} - 1 $",
type = "Technical report",
number = "80-05",
institution = "University of North Carolina at Chapel Hill",
address = "Chapel Hill, NC, USA",
month = sep,
year = "1980",
bibdate = "Thu Jan 12 12:21:57 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.or.unc.edu/research/temp/tech80a.html#1980",
acknowledgement = ack-nhfb,
}
@Article{Gardenes:1980:FSI,
author = "E. Gardenes and A. Trepat",
title = "Fundamentals of {Sigla}, an Interval Computing System
over the Completed Set of Intervals",
journal = j-COMPUTING,
volume = "24",
number = "2--3",
pages = "161--179",
month = jun,
year = "1980",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65G10",
MRnumber = "82h:65035",
bibdate = "Tue Jan 2 17:40:54 MST 2001",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; INSPEC
Axiom database (1968--date); MathSciNet database",
acknowledgement = ack-jr # " and " # ack-nhfb,
affiliation = "Univ. de Barcelona, Barcelona, Spain",
classification = "723; B0250",
description = "set theory",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
journalabr = "Computing (Vienna/New York)",
keywords = "autonomous random variable; bounded fuzzy
distribution; bounding theorems; computer programming
languages; Interval Computing System; intervals
complete set; lattice completion; semantics rounding",
}
@Article{Good:1980:CFD,
author = "I. J. Good",
title = "{C77}. {Functions} of distinct random variables having
identical distributions",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "12",
number = "1",
pages = "68--70",
month = "????",
year = "1980",
CODEN = "JSCSAJ",
DOI = "https://doi.org/10.1080/00949658008810429",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Sat Jan 07 08:19:08 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Hassner:1980:UMR,
author = "Martin Hassner and Jack Sklansky",
title = "The use of {Markov} random fields as models of
texture",
journal = j-CGIP,
volume = "12",
number = "4",
pages = "357--370",
month = apr,
year = "1980",
CODEN = "CGIPBG",
ISSN = "0146-664x (print), 1557-9697 (electronic)",
ISSN-L = "