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%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.384",
%%%     date            = "02 November 2023",
%%%     time            = "07:27:29 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        = "26424 118687 513731 5306322",
%%%     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 1.384, 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.",
%%%  }
%%% ====================================================================
@Preamble{
    "\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
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@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
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                                  interfaces \& biophysical"}

@String{j-J-PHYS-E              = "Journal of Physics. E: Scientific
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@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
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@String{j-J-R-STAT-SOC-SER-B-METHODOL = "Journal of the Royal Statistical
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@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
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@String{j-J-RES-NATL-BUR-STAND-B = "Journal of Research of the National Bureau
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                                  and Mathematical Physics"}

@String{j-J-SIAM                = "Journal of the Society for Industrial and
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@String{j-J-SIMUL               = "Journal of Simulation"}

@String{j-J-STAT-COMPUT-SIMUL   = "Journal of Statistical Computation and
                                  Simulation"}

@String{j-J-STAT-PHYS           = "Journal of Statistical Physics"}

@String{j-J-STAT-PLANN-INFERENCE = "Journal of Statistical Planning and
                                  Inference"}

@String{j-J-STAT-SOFT           = "Journal of Statistical Software"}

@String{j-J-SUPERCOMPUTING      = "The Journal of Supercomputing"}

@String{j-J-SYMBOLIC-COMP       = "Journal of Symbolic Computation"}

@String{j-J-SYST-SOFTW          = "The Journal of Systems and Software"}

@String{j-J-UCS                 = "J.UCS: Journal of Universal Computer
                                  Science"}

@String{j-J-VLSI-SIGNAL-PROC    = "Journal of VLSI Signal Processing"}

@String{j-J-WASH-ACAD-SCI       = "Journal of the Washington Academy of
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@String{j-JAPAN-J-INDUST-APPL-MATH = "Japan Journal of Industrial and Applied
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@String{j-JETC                  = "ACM Journal on Emerging Technologies
                                  in Computing Systems (JETC)"}

@String{j-JETP-LETT             = "JETP Letters"}

@String{j-LASER-PHYS-LETT       = "Laser Physics Letters"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LECT-NOTES-CONTROL-INF-SCI = "Lecture Notes in Control and Information
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@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-LIGHTWAVE-TECHNOL     = "Journal of Lightwave Technology"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-LOGIN                 = ";login: the USENIX Association newsletter"}

@String{j-LOS-ALAMOS-SCIENCE    = "Los Alamos Science"}

@String{j-MANAGEMENT-SCIENCE    = "Management Science"}

@String{j-MANUSCR-MATH          = "Manuscripta Mathematica"}

@String{j-MAPLE-TECH-NEWS       = "Maple Technical Newsletter"}

@String{j-MATH-ANN              = "Mathematische Annalen"}

@String{j-MATH-COMP-MODELLING   = "Mathematical and Computer Modelling"}

@String{j-MATH-COMP-SIM         = "Mathematics and Computers in Simulation"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-GEOL             = "Mathematical Geology"}

@String{j-MATH-INTEL            = "The Mathematical Intelligencer"}

@String{j-MATH-JAPON            = "Mathematica Japonica"}

@String{j-MATH-OP-RES           = "Mathematics of Operations Research"}

@String{j-MATH-PROG             = "Mathematical Programming"}

@String{j-MATH-PROG-STUDY       = "Mathematical Programming Study"}

@String{j-MATH-REV              = "Mathematical Reviews"}

@String{j-MATH-SCAND            = "Mathematica Scandinavica"}

@String{j-MATH-SCI-ENG          = "Mathematics in Science and Engineering"}

@String{j-MATH-SLOVACA          = "Mathematica Slovaca"}

@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
                                  to Computation"}

@String{j-MATH-Z                = "Mathematische Zeitschrift"}

@String{j-MATHEMATICA-J         = "Mathematica Journal"}

@String{j-MDMV                  = "Mitteilungen der Deutschen
                                  Mathematiker-Vereinigung"}

@String{j-MEASUREMENT           = "Measurement: Journal of the International
                                  Measurement Confederation"}

@String{j-METRIKA               = "Metrika. International Journal for
                                  Theoretical and Applied Statistics."}

@String{j-METRON                = "Metron"}

@String{j-MICROELECT-RELIABILITY = "Microelectronics and Reliability"}

@String{j-MICROSYS-TECH         = "Microsystem Technologies: Sensors, Actuators,
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@String{j-MONAT-MATH            = "Monatshefte f{\"u}r Mathematik"}

@String{j-MONTE-CARLO-METHODS-APPL = "Monte Carlo Methods and Applications"}

@String{j-NACH-ELEK             = "Nachrichtentechnik Elektronik"}

@String{j-NATURE                = "Nature"}

@String{j-NATURE-PHOTONICS      = "Nature Photonics"}

@String{j-NATURE-PHYSICS        = "Nature Physics"}

@String{j-NEUROCOMPUTING        = "Neurocomputing"}

@String{j-NEW-GEN-COMP          = "New Generation Computing"}

@String{j-NEW-SCIENTIST         = "New Scientist"}

@String{j-NONLINEAR-ANAL        = "Nonlinear Analysis, Theory, Methods and
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@String{j-NONLINEARITY          = "Nonlinearity (Bristol)"}

@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk Tidskrift for
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@String{j-NRL                   = "Naval Research Logistics"}

@String{j-NUCL-GEOPHYS          = "Nuclear Geophysics"}

@String{j-NUCL-PHYS-B           = "Nuclear Physics B"}

@String{j-NUCL-PHYS-B-PROC-SUPPL = "Nuclear Physics B, Proceedings Supplements"}

@String{j-NUCL-SCI-ENG          = "Nuclear Science and Engineering"}

@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-NY-TIMES              = "New York Times"}

@String{j-OPER-RES              = "Operations Research"}

@String{j-OPER-RES-VERFAHREN    = "{Operations Research-Verfahren}"}

@String{j-ORG-BEHAV-HUM-DECIS-PROCESS = "Organizational Behavior and Human
                                  Decision Processes"}

@String{j-ORSA-J-COMPUT         = "ORSA Journal on Computing"}

@String{j-OPT-EXPRESS           = "Optics Express"}

@String{j-OPT-LET               = "Optics Letters"}

@String{j-PAC-J-MATH            = "Pacific Journal of Mathematics"}

@String{j-PACMPL                = "Proceedings of the ACM on Programming
                                  Languages (PACMPL)"}

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-PARALLEL-PROCESS-LETT = "Parallel Processing Letters"}

@String{j-PERCEPTUAL-MOTOR-SKILLS = "Perceptual and Motor Skills"}

@String{j-PERIOD-MATH-HUNGAR    = "Periodica Mathematica Hungarica"}

@String{j-PHIL-MAGAZINE         = "Philosophical Magazine"}

@String{j-PHYS-LET-A            = "Physics Letters A"}

@String{j-PHYS-PLASMAS          = "Physics of Plasmas"}

@String{j-PHYS-REV              = "Physical Review"}

@String{j-PHYS-REV-A            = "Physical Review A (Atomic, Molecular, and
                                  Optical Physics)"}

@String{j-PHYS-REV-E            = "Physical Review E (Statistical physics,
                                  plasmas, fluids, and related
                                  interdisciplinary topics)"}

@String{j-PHYS-REV-LET          = "Physical Review Letters"}

@String{j-PHYS-REV-X            = "Physical Review X"}

@String{j-PHYS-TODAY            = "Physics Today"}

@String{j-PHYSICA-A             = "Physica A, Statistical Mechanics and its Applications"}

@String{j-PHYSICA-D             = "Physica D, Nonlinear phenomena"}

@String{j-PLANET-SPACE-SCI      = "Planetary and Space Science"}

@String{j-PROB-ENG-MECH         = "Probabilistic Engineering Mechanics"}

@String{j-PROBAB-ENGRG-INFORM-SCI = "Probability in the Engineering and
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@String{j-PROBAB-THEORY-RELAT-FIELDS = "Probability theory and related fields"}

@String{j-PROBL-INF-TRANSM      = "Problems of Information Transmission"}

@String{j-PROC-AM-MATH-SOC      = "Proceedings of the American Mathematical
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@String{j-PROC-CAMBRIDGE-PHIL-SOC = "Proceedings of the Cambridge
                                  Philosophical Society. Mathematical and
                                  physical sciences"}

@String{j-PROC-IEEE             = "Proceedings of the IEEE"}

@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the {National Academy of
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@String{j-PROC-R-SOC-EDINB      = "Proceedings of the Royal Society of
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@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
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@String{j-PROC-STEKLOV-INST-MATH = "Trudy Matematicheskogo instituta imeni V. A.
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@String{j-PROC-SPIE             = "Proceedings of the SPIE --- The
                                  International Society for Optical
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@String{j-PROC-VLDB-ENDOWMENT = "Proceedings of the VLDB Endowment"}

@String{j-PROG-COMP-SOFT        = "Programming and Computer Software;
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@String{j-PROGRESS-NUCLEAR-ENERGY = "Progress in Nuclear Energy"}

@String{j-QUAL-QUANT            = "Quality \& Quantity"}

@String{j-QUART-APPL-MATH       = "Quarterly of Applied Mathematics"}

@String{j-QUEUE                 = "ACM Queue: Tomorrow's Computing Today"}

@String{j-R-JOURNAL             = "The R Journal"}

@String{j-R-NEWS                = "R News: the Newsletter of the R Project"}

@String{j-RELIABLE-COMPUTING    = "Reliable Computing = Nadezhnye vychisleniia"}

@String{j-REND-CIRC-MAT         = "Rendiconti del Circolo matematico di Palermo"}

@String{j-REP-PROG-PHYS         = "Reports on Progress in Physics"}

@String{j-REV-INST-INT-STATIST  = "Revue de l'Institut international de
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                                  International Statistical Institute"}

@String{j-REV-MOD-PHYS          = "Reviews of Modern Physics"}

@String{j-REV-SCI-INSTRUM       = "Review of Scientific Instruments"}

@String{j-RISK-ANAL             = "Risk Analysis"}

@String{j-RUSS-J-NUM-ANAL-MATH-MODEL = "Russian Journal of Numerical Analysis
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@String{j-SANKHYA-A             = "Sankhy{\={a}} (Indian Journal of
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                                  Techniques"}

@String{j-SANKHYA-B             = "Sankhy{\=a} (Indian Journal of Statistics),
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@String{j-SCAND-ACTUAR-J        = "Scandinavian Actuarial Journal"}

@String{j-SCI-AMER              = "Scientific American"}

@String{j-SCI-CHINA-SER-E-TECH-SCI = "Science in {China}. Series {E},
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@String{j-SCI-COMPUT            = "Scientific Computing"}

@String{j-SCIENCE               = "Science"}

@String{j-SCIENCE-NEWS          = "Science News (Washington, DC)"}

@String{j-SIAM-J-ALG-DISC-METH =  "SIAM Journal on Algebraic and
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@String{j-SIAM-J-APPL-MATH      = "SIAM Journal on Applied Mathematics"}

@String{j-SIAM-J-COMPUT         = "SIAM Journal on Computing"}

@String{j-SIAM-J-DISCR-MATH     = "SIAM Journal on Discrete Mathematics"}

@String{j-SIAM-J-IMAGING-SCI    = "SIAM Journal on Imaging Sciences"}

@String{j-SIAM-J-MATH-ANA       = "SIAM Journal on Mathematical Analysis"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
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@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIGACT                = "ACM SIGACT News"}

@String{j-SIGADA-LETTERS        = "ACM SIGADA Ada Letters"}

@String{j-SIGBIO-NEWSLETTER     = "ACM SIGBIO Newsletter"}

@String{j-SIGCSE                = "SIGCSE Bulletin (ACM Special Interest Group
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@String{j-SIGMETRICS            = "ACM SIGMETRICS Performance Evaluation
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@String{j-SIGMOD                = "SIGMOD Record (ACM Special Interest
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@String{j-SIGNUM                = "ACM SIGNUM Newsletter"}

@String{j-SIGPLAN               = "ACM SIG{\-}PLAN Notices"}

@String{j-SIGSAC-REVIEW         = "SIGSAC Review"}

@String{j-SIM-MODEL-PRACT-THEORY = "Simulation Modelling Practice and Theory"}

@String{j-SIM-PRACT-THEORY      = "Simulation Practice and Theory"}

@String{j-SIMULATION            = "Simulation"}

@String{j-SIMULETTER            = "ACM Simuletter"}

@String{j-SOFTW-CONCEPTS-TOOLS  = "Software --- Concepts and Tools"}

@String{j-SOV-MATH-PROVIDENCE   = "Soviet Mathematics"}

@String{j-SOVIET-MATH-DOKL      = "Soviet Mathematics. Doklady"}

@String{j-SPE                   = "Soft\-ware --- Prac\-tice and Experience"}

@String{j-STAT-COMPUT           = "Statistics and Computing"}

@String{j-STAT-METHODOL         = "Statistical Methodology"}

@String{j-STAT-NEERLANDICA      = "Statistica Neerlandica. Journal of the
                                  Netherlands Society for Statistics and
                                  Operations Research"}

@String{j-STAT-PAPERS           = "Statistical Papers"}

@String{j-STAT-PROB-LETT        = "Statistics \& Probability Letters"}

@String{j-STAT-SCI              = "Statistical Science"}

@String{j-STAT-SINICA           = "Statistica Sinica"}

@String{j-STATIST-PAPERS        = "Statistical Papers = Statistische Hefte"}

@String{j-STATISTICA-BOLOGNA    = "Statistica (Bologna)"}

@String{j-STATISTICS            = "Statistics: a Journal of Theoretical
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@String{j-STATISTICS-BERLIN     = "Statistics (Berlin, DDR)"}

@String{j-STOCH-PROC-APPL       = "Stochastic Processes and Their
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@String{j-STUD-HIST-PHILOS-MOD-PHYS = "Studies in History and Philosophy of
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@String{j-STUDIA-MATH           = "Studia Mathematica"}

@String{j-STUDIES-APPL-MATH     = "Studies in Applied Mathematics"}

@String{j-SUNSERVER             = "SunServer"}

@String{j-SUPERCOMPUTER         = "Supercomputer"}

@String{j-SYS-ADMIN             = "Sys Admin: The Journal for UNIX Systems
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@String{j-SYS-COMP-JAPAN        = "Systems and computers in Japan"}

@String{j-TACO                  = "ACM Transactions on Architecture and
                                  Code Optimization"}

@String{j-TALG                  = "ACM Transactions on Algorithms"}

@String{j-TECHNOMETRICS         = "Technometrics"}

@String{j-TECS                  = "ACM Transactions on Embedded Computing
                                  Systems"}

@String{j-THEOR-COMP-SCI        = "Theoretical Computer Science"}

@String{j-THEOR-MATH-PHYS       = "Theoretical and Mathematical Physics"}

@String{j-THEORY-COMPUT-SYST    = "Theory of Computing Systems"}

@String{j-THEORY-PROBAB-APPL    = "Theory of Probability and its Applications"}

@String{j-J-TIME-SER-ANAL       = "Journal of Time Series Analysis"}

@String{j-TISSEC                = "ACM Transactions on Information and System
                                  Security"}

@String{j-TKDD                  = "ACM Transactions on Knowledge Discovery
                                  from Data (TKDD)"}

@String{j-TOCL                  = "ACM Transactions on Computational Logic"}

@String{j-TOCS                  = "ACM Transactions on Computer Systems"}

@String{j-TOCT                  = "ACM Transactions on Computation Theory"}

@String{j-TODAES                = "ACM Transactions on Design Automation of
                                   Electronic Systems"}

@String{j-TODS                  = "ACM Transactions on Database Systems"}

@String{j-TOG                   = "ACM Transactions on Graphics"}

@String{j-TOIT                  = "ACM Transactions on Internet Technology
                                  (TOIT)"}

@String{j-TOMACS                = "ACM Transactions on Modeling and Computer
                                  Simulation"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-TOPC                  = "ACM Transactions on Parallel Computing
                                  (TOPC)"}

@String{j-TOPS                  = "ACM Transactions on Privacy and Security
                                  (TOPS)"}

@String{j-TRANS-AM-MATH-SOC     = "Transactions of the American Mathematical
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@String{j-TRANS-AM-NUCL-SOC     = "Transactions of the American Nuclear
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@String{j-TRANS-INFO-PROCESSING-SOC-JAPAN = "Transactions of the Information
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@String{j-TRANS-SOC-INST-CONTROL-ENG = "Transactions of the Society of
                                  Instrument and Control Engineers"}

@String{j-TRETS                 = "ACM Transactions on Reconfigurable
                                  Technology and Systems (TRETS)"}

@String{j-TUGboat               = "TUGboat (Journal of the {\TeX} Users
                                  Group)"}

@String{j-TWO-YEAR-COLL-MATH-J  = "Two-Year College Mathematics Journal"}

@String{j-USSR-COMP-MATH-MATH-PHYS = "U.S.S.R. Computational Mathematics and
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@String{j-VISUAL-COMPUTER       = "Visual Computer"}

@String{j-VLDB-J                = "VLDB Journal: Very Large Data Bases"}

@String{j-WIRED                 = "Wired"}

@String{j-WIRES                 = "WIREs Computational Statistics"}

@String{j-Z-ANGE-MATH-MECH      = "{Zeitschrift f{\"u}r Angewandte Mathematik
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@String{j-Z-ANGE-MATH-PHYS      = "{Zeitschrift f{\"u}r Angewandte Mathematik
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@String{j-Z-MATH-LOGIK-GRUNDL-MATH = "{Zeitschrift f{\"u}r mathematische Logik
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@String{j-Z-PHYSIK              = "{Zeitschrift f{\"u}r Physik}"}

@String{j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB = "{Zeitschrift f{\"u}r
                                  Wahrscheinlichkeitstheorie und
                                  verwandte Gebiete}"}

%%% ====================================================================
%%% Publishers and their addresses:
@String{pub-A-K-PETERS          = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr      = "Wellesley, MA, USA"}

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AEGEAN-PARK         = "Aegean Park Press"}
@String{pub-AEGEAN-PARK:adr     = "Laguna Hills, CA, USA"}

@String{pub-AFIPS               = "AFIPS Press"}
@String{pub-AFIPS:adr           = "Montvale, NJ, USA"}

@String{pub-AIP                 = "American Institute of Physics"}
@String{pub-AIP:adr             = "Woodbury, NY, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-ARTECH             = "Artech House Inc."}
@String{pub-ARTECH:adr         = "Norwood, MA, USA"}

@String{pub-ASME                = "American Society of Mechanical Engineers"}
@String{pub-ASME:adr            = "345 E. 47th St., New York, NY 10017, USA"}

@String{pub-AW                  = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr              = "Reading, MA, USA"}

@String{pub-BIRKHAUSER-BOSTON   = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CHAPMAN-HALL        = "Chapman and Hall, Ltd."}
@String{pub-CHAPMAN-HALL:adr    = "London, UK"}

@String{pub-CHAPMAN-HALL-CRC    = "Chapman and Hall/CRC"}
@String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "New York, NY, USA"}

@String{pub-CRC                 = "CRC Press"}
@String{pub-CRC:adr             = "2000 N.W. Corporate Blvd., Boca Raton,
                                  FL 33431-9868, USA"}

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@String{pub-CSLI:adr            = "Stanford, CA, USA"}

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@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

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@String{pub-OLIVER-BOYD:adr     = "Edinburgh, UK; London, UK"}

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@String{pub-PHYSICA-VERLAG:adr  = "Vienna, Austria"}

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@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

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@String{pub-SOC-COMPUT-SIM:adr  = "San Diego, CA, USA"}

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@String{pub-SPIE:adr            = "Bellingham, WA, USA"}

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@String{pub-STANFORD:adr        = "Stanford, CA, USA"}

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@String{pub-SUN-MICROSYSTEMS-PRESS:adr = "Palo Alto, CA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

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@String{pub-TAYLOR-FRANCIS:adr  = "Boca Raton, FL, USA"}

@String{pub-TEUBNER             = "Teubner"}
@String{pub-TEUBNER:adr         = "Stuttgart, Germany; Leipzig, Germany"}

@String{pub-U-CAL               = "University of California Press"}
@String{pub-U-CAL:adr           = "Berkeley, CA, USA"}

@String{pub-U-MICHIGAN          = "University of Michigan Press"}
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@String{pub-U-NC:adr            = "Chapel Hill, NC, USA"}

@String{pub-NORTON              = "W. W. Norton \& Co."}
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@String{pub-WILEY:adr           = "New York, NY, USA"}

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                                  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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 =  "https://www.jstor.org/journals/00029890.htm",
}

@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 (print), 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