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Wilford I. King The \booktitleAnnals of Mathematical
Statistics . . . . . . . . . . . . . . . 1--2
S. D. Wicksell Remarks on Regression . . . . . . . . . 3--13
B. L. Shook Synopsis of Elementary Mathematical
Statistics . . . . . . . . . . . . . . . 14--41
Joseph Berkson Bayes' Theorem . . . . . . . . . . . . . 42--56
Statistical Department A Mathematical Theory of Seasonals . . . 57--72
J. Shohat Stieltjes Integrals in Mathematical
Statistics . . . . . . . . . . . . . . . 73--94
William Dowell Baten Simultaneous Treatment of Discrete and
Continuous Probability by Use of
Stieltjes Integrals . . . . . . . . . . 95--100
Anonymous Editorial: Fundamentals of the Theory of
Sampling . . . . . . . . . . . . . . . . 101--121
Ralph W. Powell Successive Integration as a Method for
Finding Long Period Cycles . . . . . . . 123--136
Edwin D. Mouzon Equimodal Frequency Distributions . . . 137--158
Harry S. Will On Fitting Curves to Observational
Series by the Method of Differences . . 159--190
Luis R. Salvosa Tables of Pearson's Type III Function 191--198 + 1--125
L. R. Salvosa Table III: Derivatives of the
Standardized Type III Function . . . . . 127--187
Edward L. Dodd The Use of Linear Functions to Detect
Hidden Periods in Data Separated into
Small Sets . . . . . . . . . . . . . . . 205--223
B. L. Shook Synopsis of Elementary Mathematical
Statistics . . . . . . . . . . . . . . . 224--259
H. C. Carver Editorial: Fundamentals of The Theory of
Sampling . . . . . . . . . . . . . . . . 260--274
Mordecai Ezekiel The Sampling Variability of Linear and
Curvilinear Regressions: A First
Approximation to the Reliability of the
Results Secured by the Graphic
``Successive Approximation'' Method . . 275--315, 317--333
G. A. Baker Transformations of Bimodal
Distriburtions . . . . . . . . . . . . . 334--344
Edgar Z. Palmer Error and Unreliability in Seasonals . . 345--351
Richard A. Robe Modification of the Link Relative and
Interpolation Methods of Determining
Seasonal Variation . . . . . . . . . . . 352--363
L. von Bortkiewicz The Relations between Stability and
Homogeneity . . . . . . . . . . . . . . 1--22
Edward C. Molina Bayes' Theorem: An Expository
Presentation . . . . . . . . . . . . . . 23--37
H. L. Rietz On Certain Properties of Frequency
Distributions Obtained by a Linear
Fractional Transformation of the
Variates of a Given Distribution . . . . 38--47
Paul R. Rider On Small Samples from Certain Non-Normal
Universes . . . . . . . . . . . . . . . 48--65
Hilda Frost Dunlap An Empirical Determination of the
Distribution of Means, Standard
Deviations and Correlation Coefficients
Drawn from Rectangular Populations . . . 66--81
Anonymous Editorial: The Interdependence of
Sampling and Frequency Distribution
Theory . . . . . . . . . . . . . . . . . 82--98
Cecil C. Craig Note on the Distribution of Means of
Samples of $N$ Drawn from a Type A
Population . . . . . . . . . . . . . . . 99--101
A. L. O'Toole On Symmetric Functions and Symmetric
Functions of Symmetric Functions . . . . 102--149
Harold D. Griffin Fundamental Formulas for the Doolittle
Method, Using Zero-Order Correlation
Coefficients . . . . . . . . . . . . . . 150--153
Cecil C. Craig On A Property of the Semi-Invariants of
Thiele . . . . . . . . . . . . . . . . . 154--164
T. N. Thiele I. The Law of Causality . . . . . . . . 165--169
T. N. Thiele II. Laws of Errors . . . . . . . . . . . 169--172
T. N. Thiele III. Tabular Arrangements . . . . . . . 172--174
T. N. Thiele IV. Curves of Errors . . . . . . . . . . 174--179
T. N. Thiele V. Functional Laws of Errors . . . . . . 179--186
T. N. Thiele VI. Laws of Errors: Expressed by
Symmetrical Functions . . . . . . . . . 186--194
T. N. Thiele VII. Relations between Functional Laws
of Errors and Half-Invariants . . . . . 194--199
T. N. Thiele VIII. Laws of Errors of Function of
Observations . . . . . . . . . . . . . . 199--217
T. N. Thiele IX. Free Functions . . . . . . . . . . . 217--228
T. N. Thiele X. Adjustment . . . . . . . . . . . . . 228--235
T. N. Thiele XI. Adjustment by Correlates . . . . . . 235--241
T. N. Thiele XII. Adjustment by Elements . . . . . . 241--258
T. N. Thiele XIII. Special Auxiliary Methods . . . . 258--280
T. N. Thiele XIV. The Theory of Probability . . . . . 280--283
T. N. Thiele XV. The Formal Theory of Probability . . 283--293
T. N. Thiele XVI. The Determination of Probabilities
a Priori and a Posteriori . . . . . . . 293--301
T. N. Thiele XVII. Mathematical Expectation and Its
Mean Error . . . . . . . . . . . . . . . 301--308
T. N. Thiele Contents . . . . . . . . . . . . . . . . ??
T. N. Thiele Editor's Note . . . . . . . . . . . . . ??
William Dowell Baten Correction for the Moments of a
Frequency Distribution in Two Variables 309--319
John Rice Miner The Standard Error of a Multiple
Regression Equation . . . . . . . . . . 320--323
Cecil C. Craig Sampling in the Case of Correlated
Observations . . . . . . . . . . . . . . 324--332
G. A. Baker The Relation Between the Means and
Variances, Means Squared and Variances
in Samples from Combinations of Normal
Populations . . . . . . . . . . . . . . 333--354
Joshua L. Bailey A Table to Facilitate the Fitting of
Certain Logistic Curves . . . . . . . . 355--359
Harold Hotelling The Generalization of Student's Ratio 360--378
Emanuel Henry Hildebrandt Systems of Polynomials Connected with
the Charlier Expansions and the Pearson
Differential and Difference Equations 379--439
R. J. Wherry A New Formula for Predicting the
Shrinkage of the Coefficient of Multiple
Correlation . . . . . . . . . . . . . . 440--457
Walter A. Hendricks The Use of the Relative Residual in the
Application of the Method of Least
Squares . . . . . . . . . . . . . . . . 458--478
Anonymous Editor's Note . . . . . . . . . . . . . 479--479
Anonymous Reprint and Translation From
\booktitleNordisk Forsäkringstidskrift
1930 . . . . . . . . . . . . . . . . . . 485--492
G. A. Baker Distribution of the Means Divided By the
Standard Deviations of Samples From
Non-Homogeneous Populations . . . . . . 1--9
Robert W. Burgess A Statistical Approach to Mathematical
Formulation of Demand-Supply-Price
Relationships . . . . . . . . . . . . . 10--19
H. M. Feldman The Distributions of the Precision
Constant and Its Square in Samples of $
\eta $ From a Normal Population . . . . 20--31
R. Henderson A Postulate for Observations . . . . . . 32--39
Paul Horst A Short Method for Solving for a
Coefficient of Multiple Correlation . . 40--44
Thomas N. Jenkins A Short Method and Tables for the
Calculation of the Average and Standard
Deviation of Logarithmic Distributions 45--55
A. L. O'Toole On Symmetric Functions of More Than One
Variable and of Frequency Functions . . 56--63
Albert Wertheimer A Generalized Error Function . . . . . . 64--77
J. B. Coleman A Coefficient of Linear Correlation
Based on the Method of Least Squares and
the Line of Best Fit . . . . . . . . . . 79--85
John L. Carlson A Study of the Distribution of Means
Estimated From Small Samples by the
Method of Maximum Likelihood for
Pearson's Type II Curve . . . . . . . . 86--107
Robert E. Moritz A New Theory of Depreciation of Physical
Assets . . . . . . . . . . . . . . . . . 108--125
Allen T. Craig The Simultaneous Distribution of Mean
and Standard Deviation in Small Samples 126--140
Harold Hotelling and
Leonard M. Solomons The Limits of a Measure of Skewness . . 141--142
Arthur H. Copeland The Theory of Probability from the Point
of View of Admissible Numbers . . . . . 143--156
Walter A. Hendricks Relative Residuals Considered as
Weighted Simple Residuals in the
Application of the Method of Least
Squares . . . . . . . . . . . . . . . . 157--162
S. S. Wilks Moments and Distributions of Estimates
of Population Parameters from
Fragmentary Samples . . . . . . . . . . 163--195
S. S. Wilks On the Sampling Distribution of the
Multiple Correlation Coefficient . . . . 196--203
Herrick E. H. Greenleaf Curve Approximation by Means of
Functions Analogous to the Hermite
Polynomials . . . . . . . . . . . . . . 204--255
Charles Jordan Approximation and Graduation According
to the Principle of Least Squares by
Orthogonal Polynomials . . . . . . . . . 257--357
Raymond Garver Concerning the Limits of a Measure of
Skewness . . . . . . . . . . . . . . . . 358--360
Harry C. Carver Editorial: Trapezoidal Rule for
Computing Seasonal Indices . . . . . . . 361--367
A. L. O'Toole On the System of Curves for Which the
Method of Moments is the Best Method of
Fitting . . . . . . . . . . . . . . . . 1--29
Pae-Tsi Yuan On the Logarithmic Frequency
Distribution and the Semi-Logarithmic
Correlation Surface . . . . . . . . . . 30--74
Elmer B. Royer A Simple Method for Calculating Mean
Square Contingency . . . . . . . . . . . 75--78
A. L. O'Toole A Method of Determining the Constants in
the Bimodal Fourth Degree Exponential
Function . . . . . . . . . . . . . . . . 79--93
Cecil C. Craig On the Tchebychef Inequality of
Bernstein . . . . . . . . . . . . . . . 94--102
Carl H. Fischer On Correlation Surfaces of Sums with a
Certain Number of Random Elements in
Common . . . . . . . . . . . . . . . . . 103--126
Allen T. Craig On the Correlation Between Certain
Averages from Small Samples . . . . . . 127--142
A. L. O'Toole On the Degree of Approximation of
Certain Quadrature Formulas . . . . . . 143--153
H. T. Davis Polynomial Approximation by the Method
of Least Squares . . . . . . . . . . . . 155--195
H. Milicer Gruzewska The Precision of the Weighted Average 196--215
Margaret Merrell On Certain Relationships Between $
\beta_1 $ and $ \beta_2 $ for the Point
Binomial . . . . . . . . . . . . . . . . 216--228
Anonymous Editorial: Note on the Computation and
Modification of Moments . . . . . . . . 229--239
H. P. Lawther The Extended Probability Theory for the
Continuous Variable with Particular
Application to the Linear Distribution 241--262
John R. Abernethy On the Elimination of Systematic Errors
Due to Grouping . . . . . . . . . . . . 263--277
Carl H. Fischer On Multiple and Partial Correlation
Coefficients of a Certain Sequence of
Sums . . . . . . . . . . . . . . . . . . 278--284
Selby Robinson An Experiment Regarding the $ \chi^2 $
Test . . . . . . . . . . . . . . . . . . 285--287
George Middleton Brown On Sampling from Compound Populations 288--342
Helen M. Walker and
Vera Sanford The Accuracy of Computation with
Approximate Numbers . . . . . . . . . . 1--12
William Dowell Baten Combining Two Probability Functions . . 13--20
Herbert A. Toops On the Systematic Fitting of Straight
Line Trends by Stencil and Calculating
Machine . . . . . . . . . . . . . . . . 21--29
Robert Schmidt Statistical Analysis of One-Dimensional
Distributions . . . . . . . . . . . . . 30--72
H. C. Carver Editorial: A New Type of Average for
Security Prices . . . . . . . . . . . . 73--80
Walter Andersson On A New Method of Computing Non-Linear
Regression Curves . . . . . . . . . . . 81--106
Walter A. Hendricks The Standard Error of Any Analytic
Function of a Set of Parameters
Evaluated By the Method of Least Squares 107--112
G. A. Baker Transformation of Non-Normal Frequency
Distributions Into Normal Distributions 113--123
Richmond T. Zoch Invariants and Covariants of Certain
Frequency Curves . . . . . . . . . . . . 124--135
E. R. Enlow Quadrature of the Normal Curve . . . . . 136--145
A. L. O'Toole Editorial: On a Best Value of $R$ in
Samples of $R$ from a Finite Population
of $N$ . . . . . . . . . . . . . . . . . 146--152
H. C. Carver Editorial: Punched Card Systems and
Statistics . . . . . . . . . . . . . . . 153--160
Sewall Wright The Method of Path Coefficients . . . . 161--215
John W. Boldyreff Mathematical Foundation for a Method of
Statistical Analysis of Household
Budgets . . . . . . . . . . . . . . . . 216--226
Harry S. Pollard On the Relative Stability of the Median
and Arithmetic Mean, with Particular
Reference to Certain Frequency
Distributions Which Can Be Dissected
into Normal Distributions . . . . . . . 227--262
Solomon Kullback An Application of Characteristic
Functions to the Distribution Problem of
Statistics . . . . . . . . . . . . . . . 263--307
Frank M. Weida On Measures of Contingency . . . . . . . 308--319
R. J. Myers Note on Koshal's Method of Improving the
Parameters of Curves by the Use of the
Method of Maximum Likelihood . . . . . . 320--323
Alan E. Treloar and
Marian A. Wilder The Adequacy of ``Student's'' Criterion
of Deviations in Small Sample Means . . 324--341
Richmond T. Zoch Some Interesting Features of Frequency
Curves . . . . . . . . . . . . . . . . . 1--10
W. T. Lewis A Reconsideration of Sheppard's
Corrections . . . . . . . . . . . . . . 11--20
Frank H. Byron The Point Binomial and Probability Paper 21--26
Nilan Norris Inequalities Among Averages . . . . . . 27--29
Hyman M. Feldman Mathematical Expectation of Product
Moments of Samples Drawn From a Set of
Infinite Populations . . . . . . . . . . 30--52
Y. K. Wong An Application of Orthogonalization
Process to the Theory of Least Squares 53--75
Solomon Kullback A Note on the Analysis of Variance . . . 76--77
Walter A. Hendricks A Problem Involving the Lexis Theory of
Dispersion . . . . . . . . . . . . . . . 78--82
Paul Horst A Method for Determining the
Coefficients of a Characteristic
Equation . . . . . . . . . . . . . . . . 83--84
Dwight W. Chapman The Generalized Problem of Correct
Matchings . . . . . . . . . . . . . . . 85--95
W. J. Kirkham Moments About the Arithmetic Mean of a
Binomial Frequency Distribution . . . . 96--101
Frank M. Weida On Certain Distribution Functions When
the Law of the Universe is Poisson's
First Law of Error . . . . . . . . . . . 102--110
Anonymous Errata: On Certain Distribution
Functions When the Law of the Universe
is Poisson's First Law of Error . . . . 110--110
J. Neyman On the Problem of Confidence Intervals 111--116
Walter A. Hendricks Analysis of Variance Considered as an
Application of Simple Error Theory . . . 117--126
G. A. Baker Note on the Distributions of the
Standard Deviations and Second Moments
of Samples From a Gram--Charlier
Population . . . . . . . . . . . . . . . 127--130
I. H. Barkey On the Finite Differences of a
Polynomial . . . . . . . . . . . . . . . 131--132
John L. Roberts Some Practical Interpolation Formulas 133--142
Anonymous Errata: Some Practical Interpolation
Formulas . . . . . . . . . . . . . . . . 142--142
Grace Strecker On Evaluating a Coefficient of Partial
Correlation . . . . . . . . . . . . . . 143--145
Lee Byrne A Theory of Validation for Derivative
Specifications and Check Lists . . . . . 146--157
Solomon Kullback A Note on Sheppard's Corrections . . . . 158--159
J. L. Doob The Limiting Distributions of Certain
Statistics . . . . . . . . . . . . . . . 160--169
Richmond T. Zoch On the Postulate of the Arithmetic Mean 171--182
Robert J. Wherry The Shrinkage of the Brown--Spearman
Prophecy Formula . . . . . . . . . . . . 183--189
S. S. Wilks The Likelihood Test of Independence in
Contingency Tables . . . . . . . . . . . 190--196
G. A. Baker The Probability That the Mean of a
Second Sample Will Differ from the Mean
of a First Sample By Less Than a Certain
Multiple of the Standard Deviation of
the First Sample . . . . . . . . . . . . 197--201
Solomon Kullback On Samples From a Multivariate Normal
Population . . . . . . . . . . . . . . . 202--213
William R. Thompson On a Criterion for the Rejection of
Observations and the Distribution of the
Ratio of Deviation to Sample Standard
Deviation . . . . . . . . . . . . . . . 214--219
Everett H. Larguier On Certain Coefficients Used in
Mathematical Statistics . . . . . . . . 220--226
Anonymous Notice of the Organization of the
\insttitleInstitute of Mathematical
Statistics . . . . . . . . . . . . . . . 227--227
Anonymous 1935 Directory of Subscribers to the
\booktitleAnnals of Mathematical
Statistics . . . . . . . . . . . . . . . 228--232
Cecil C. Craig On the Frequency Function of $ x y $ . . 1--15
Cecil C. Craig A New Exposition and Chart for the
Pearson System of Frequency Curves . . . 16--28
Harold Hotelling and
Margaret Richards Pabst Rank Correlation and Tests of
Significance Involving No Assumption of
Normality . . . . . . . . . . . . . . . 29--43
John L. Roberts The Elimination of Perpetual Calendars 44--46
Y. K. Wong On Standard Error for the Line of Mutual
Regression . . . . . . . . . . . . . . . 47--50
Solomon Kullback The Distribution Laws of the Difference
and Quotient of Variables Independently
Distributed in Pearson Type III Laws . . 51--53
Anonymous Report of the Meeting of the
\insttitleInstitute of Mathematical
Statistics at St. Louis . . . . . . . . 54--54
Cecil C. Craig Sheppard's Corrections for a Discrete
Variable . . . . . . . . . . . . . . . . 55--61
Ching-Lai Shen Fundamentals of the Theory of Inverse
Sampling . . . . . . . . . . . . . . . . 62--112
John W. Fertig On a Method of Testing the Hypothesis
That an Observed Sample of $n$ Variables
and of Size $N$ Has Been Drawn From a
Specified Population of the Same Number
of Variables . . . . . . . . . . . . . . 113--121
William R. Thompson On Confidence Ranges for the Median and
Other Expectation Distributions for
Populations of Unknown Distribution Form 122--128
Walter A. Hendricks and
Kate W. Robey The Sampling Distribution of the
Coefficient of Variation . . . . . . . . 129--132
H. R. Grummann Some Notes on Exponential Analysis . . . 133--144
H. L. Rietz On the Frequency Distribution of Certain
Ratios . . . . . . . . . . . . . . . . . 145--153
Anonymous Editorial: The Fundamental Nature and
Proof of Sheppard's Adjustments . . . . 154--163
Harry Sylvester Will On a General Solution for the Parameters
of Any Function With Application to the
Theory of Organic Growth . . . . . . . . 165--190
Everett H. Larguier On a Method for Evaluating the Moments
of a Bernoulli Distribution . . . . . . 191--195
Carl-Erik Quensel A Method of Determining the Regression
Curve When the Marginal Distribution is
of the Normal Logarithmic Type . . . . . 196--201
Stuart C. Dodd The Standard Error of a ``Social Force'' 202--209
Walter A. Hendricks An Approximation to ``Student's''
Distribution . . . . . . . . . . . . . . 210--221
John L. Roberts Applications of Two Osculatory Formulas 1--4
C. H. Forsyth Some Simple Developments in the Use of
the Coefficient of Stability . . . . . . 5--11
Edward L. Dodd Internal and External Means Arising From
the Scaling of Frequency Functions . . . 12--20
Paul S. Dwyer Moments of Any Rational Integral
Isobaric Sample Moment Function . . . . 21--65
John L. Roberts A Coefficient of Correlation Between
Scholarship and Salaries . . . . . . . . 66--68
William J. Kirkham Note on the Derivation of the Multiple
Correlation Coefficient . . . . . . . . 68--71
Chester C. Camp Note on Numerical Evaluation of Double
Series . . . . . . . . . . . . . . . . . 72--75
Allen T. Craig Report of the Annual Meeting of the
\insttitleInstitute of Mathematical
Statistics . . . . . . . . . . . . . . . 76--76
Felix Bernstein Regression and Correlation Evaluated by
a Method of Partial Sums . . . . . . . . 77--89
Burton H. Camp Methods of Obtaining Probability
Distributions . . . . . . . . . . . . . 90--102
John Riordan Moment Recurrence Relations for
Binomial, Poisson and Hypergeometric
Frequency Distributions . . . . . . . . 103--111
Albert Wertheimer Note on Zoch's Paper on the Postulate of
the Arithmetic Mean . . . . . . . . . . 112--115
C. E. Clark Note on the Binomial Distribution . . . 116--117
Nilan Norris Convexity Properties of Generalized Mean
Value Functions . . . . . . . . . . . . 118--120
Dinsmore Alter A Simple Form of Periodogram . . . . . . 121--126
Solomon Kullback On Certain Distributions Derived From
the Multinomial Distribution . . . . . . 127--144
Jan K. Wisniewski A Problem in Least Squares . . . . . . . 145--148
Paul G. Hoel A Significance Test for Component
Analysis . . . . . . . . . . . . . . . . 149--158
William G. Madow Contributions to the Theory of
Comparative Statistical Analysis. I.
Fundamental Theorems of Comparative
Analysis . . . . . . . . . . . . . . . . 159--176
Richmond T. Zoch Reply to Mr. Wertheimer's Paper . . . . 177--178
George A. Baker Correlation Surfaces of Two or More
Indices When the Components of the
Indices are Normally Distributed . . . . 179--182
Leo A. Aroian The Type B Gram--Charlier Series . . . . 183--192
John W. Fertig and
Elizabeth A. Proehl A Test of a Sample Variance Based on
Both Tail Ends of the Distribution . . . 193--205
Frank S. Beale On the Polynomials Related to the
Differential Equation $ \frac {1}{y}
\frac {dy}{dx} = \frac {a_0 + a_1x}{b_0
+ b_1x + b_2x^2} \equiv \frac {N}{D} $ 206--223
Paul S. Dwyer The Simultaneous Computation of Groups
of Regression Equations and Associated
Multiple Correlation Coefficients . . . 224--231
Anonymous Constitution . . . . . . . . . . . . . . 232--234
Anonymous By-Laws . . . . . . . . . . . . . . . . 234--235
Anonymous Directory of \insttitleInstitute of
Mathematical Statistics . . . . . . . . 236--238
Paul S. Dwyer Combined Expansions of Products of
Symmetric Power Sums and of Sums of
Symmetric Power Products with
Application to Sampling . . . . . . . . 1--47
Allen T. Craig On the Independence of Certain Estimates
of Variance . . . . . . . . . . . . . . 48--55
Joseph A. Greenwood Variance of a General Matching Problem 56--59
S. S. Wilks The Large-Sample Distribution of the
Likelihood Ratio for Testing Composite
Hypotheses . . . . . . . . . . . . . . . 60--62
M. Ziaud-Din On Differential Operator Developed by
O'Toole . . . . . . . . . . . . . . . . 63--65
Nathan Keyfitz Graduation by a Truncated Normal . . . . 66--67
B. H. Camp Notice to Subscribers of the
\booktitleAnnals of Mathematical
Statistics . . . . . . . . . . . . . . . ??
Allen T. Craig Report of the Annual Meeting of the
\insttitleInstitute of Mathematical
Statistics . . . . . . . . . . . . . . . ??
J. Neyman Tests of Statistical Hypotheses Which
are Unbiased in the Limit . . . . . . . 69--86
Harold Hotelling and
Lester R. Frankel The Transformation of Statistics to
Simplify their Distribution . . . . . . 87--96
Paul S. Dwyer On Combined Expansions of Products of
Symmetric Power Sums and of Sums of
Symmetric Power Products with
Applications to Sampling (Continued) . . 97--132
E. G. Olds Distributions of Sums of Squares of Rank
Differences for Small Numbers of
Individuals . . . . . . . . . . . . . . 133--148
D. B. De Lury Note on Correlations . . . . . . . . . . 149--151
Edward L. Dodd Interior and Exterior Means Obtained by
the Method of Moments . . . . . . . . . 153--157
Paul G. Hoel On the Chi-Square Distribution for Small
Samples . . . . . . . . . . . . . . . . 158--165
S. S. Wilks Shortest Average Confidence Intervals
from Large Samples . . . . . . . . . . . 166--175
A. C. Olshen Transformations of the Pearson Type III
Distribution . . . . . . . . . . . . . . 176--200
Daisy M. Starkey A Test of the Significance of the
Difference Between Means of Samples from
Two Normal Populations Without Assuming
Equal Variances . . . . . . . . . . . . 201--213
Nilan Norris Some Efficient Measures of Relative
Dispersion . . . . . . . . . . . . . . . 214--220
Burton H. Camp Notes on the Distribution of the
Geometric Mean . . . . . . . . . . . . . 221--226
H. M. Bacon Note on a Formula for the Multiple
Correlation Coefficient . . . . . . . . 227--229
P. L. Hsu Notes on Hotelling's Generalized $T$ . . 231--243
A. Wald Generalization of the Inequality of
Markoff . . . . . . . . . . . . . . . . 244--255
R. von Mises A Modification of Bayes' Problem . . . . 256--259
Hilda Geiringer On the Probability Theory of Arbitrarily
Linked Events . . . . . . . . . . . . . 260--271
S. S. Wilks Fiducial Distributions in Fiducial
Inference . . . . . . . . . . . . . . . 272--280
William R. Thompson Biological Applications of Normal Range
and Associated Significance Tests in
Ignorance of Original Distribution Forms 281--287
Paul S. Dwyer The Computation of Moments with the Use
of Cumulative Totals . . . . . . . . . . 288--304
Louis Guttman A Note on the Derivation of Formulae for
Multiple and Partial Correlation . . . . 305--308
Clyde A. Bridger Note on Regression Functions in the Case
of Three Second Order Random Variables 309--313
Alfred J. Lotka A Contribution to the Theory of
Self-Renewing Aggregates, With Special
Reference to Industrial Replacement . . 1--25
Allen T. Craig On the Mathematics of the Representative
Method of Sampling . . . . . . . . . . . 26--34
J. Neyman On a New Class of ``Contagious''
Distributions, Applicable in Entomology
and Bacteriology . . . . . . . . . . . . 35--57
B. L. Welch On Confidence Limits and Sufficiency,
with Particular Reference to Parameters
of Location . . . . . . . . . . . . . . 58--69
J. F. Kenney The Regression Systems of Two Sums
Having Random Elements in Common . . . . 70--73
Albert Wertheimer A Note on Confidence Intervals and
Inverse Probability . . . . . . . . . . 74--76
Solomon Kullback Note on a Matching Problem . . . . . . . 77--80
A. T. Craig Report of the Annual Meeting of the
\insttitleInstitute . . . . . . . . . . 81--83
Anonymous Abstracts of Papers . . . . . . . . . . 84--90
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 91--92
Anonymous By-Laws . . . . . . . . . . . . . . . . 93--94
Anonymous Directory of \insttitleInstitute of
Mathematical Statistics . . . . . . . . 95--98
R. von Mises The Limits of a Distribution Function if
Two Expected Values are Given . . . . . 99--104
A. Wald and
J. Wolfowitz Confidence Limits for Continuous
Distribution Functions . . . . . . . . . 105--118
George W. Brown On the Power of the $ L_1 $ Test for
Equality of Several Variances . . . . . 119--128
M. S. Bartlett Complete Simultaneous Fiducial
Distributions . . . . . . . . . . . . . 129--138
G. Tintner On Tests of Significance in Time Series 139--143
Alfred J. Lotka On an Integral Equation in Population
Analysis . . . . . . . . . . . . . . . . 144--161
C. Eisenhart The Interpretation of Certain Regression
Methods and Their Use in Biological and
Industrial Research . . . . . . . . . . 162--186
A. M. Mood Note on the $ L_1 $ Test for Many
Samples . . . . . . . . . . . . . . . . 187--190
C. D. Smith On Tchebycheff Approximation for
Decreasing Functions . . . . . . . . . . 190--192
Dinsmore Alter Correction of Sample Moment Bias Due to
Lack of High Contact and to Histogram
Grouping . . . . . . . . . . . . . . . . 192--195
E. V. Huntington Frequency Distribution of Product and
Quotient . . . . . . . . . . . . . . . . 195--198
Harold D. Larsen Moments About the Arithmetic Mean of a
Hypergeometric Frequency Distribution 198--201
Hilda Geiringer Errata: ``On the Probability Theory of
Arbitrarily Linked Events'' . . . . . . 202--202
M. A. Girshick On the Sampling Theory of Roots of
Determinantal Equations . . . . . . . . 203--224
S. S. Wilks and
J. F. Daly An Optimum Property of Confidence
Regions Associated with the Likelihood
Function . . . . . . . . . . . . . . . . 225--235
J. Lukomski On Some Properties of Multidimensional
Distributions . . . . . . . . . . . . . 236--246
George B. Dantzig On a Class of Distributions that
Approach the Normal Distribution
Function . . . . . . . . . . . . . . . . 247--253
Edward L. Dodd The Length of the Cycles which Result
from the Graduation of Chance Elements 254--264
H. L. Rietz On the Distribution of the ``Student''
Ratio for Small Samples from Certain
Non-Normal Populations . . . . . . . . . 265--274
M. G. Kendall and
B. Babington Smith The Problem of $m$ Rankings . . . . . . 275--287
J. Stevens Stock and
Lester R. Frankel The Allocation of Samplings Among
Several Strata . . . . . . . . . . . . . 288--293
J. A. Joseph On the Coefficients of the Expansion of
$ X^{(n)} $ . . . . . . . . . . . . . . 293--296
Joseph A. Greenwood and
T. N. E. Greville On the Probability of Attaining a Given
Standard Deviation Ratio in an Infinite
Series of Trials . . . . . . . . . . . . 297--298
Abraham Wald Contributions to the Theory of
Statistical Estimation and Testing
Hypotheses . . . . . . . . . . . . . . . 299--326
D. M. Starkey The Distribution of the Multiple
Correlation Coefficient in Periodogram
Analysis . . . . . . . . . . . . . . . . 327--336
M. D. McCarthy On the Application of the $Z$-Test to
Randomized Blocks . . . . . . . . . . . 337--359
Arnold N. Lowan and
Jack Laderman On the Distribution of Errors in $
N^{th} $ Tabular Differences . . . . . . 360--364
B. A. Lengyel On Testing the Hypothesis that Two
Samples Have Been Drawn from a Common
Normal Population . . . . . . . . . . . 365--375
Jack Laderman The Distribution of ``Student's'' Ratio
for Samples of Two Items Drawn from
Non-Normal Universes . . . . . . . . . . 376--379
J. B. D. Derksen On Some Infinite Series Introduced by
Tschuprow . . . . . . . . . . . . . . . 380--383
R. A. Fisher A Note on Fiducial Inference . . . . . . 383--388
Solomon Kullback A Note on Neyman's Theory of Statistical
Estimation . . . . . . . . . . . . . . . 388--390
C. Eisenhart A Note on a Priori Information . . . . . 390--393
Morris C. Bishop A Note on Computation for Analysis of
Variance . . . . . . . . . . . . . . . . 393--399
Anonymous Announcement Concerning Computation of
Mathematical Tables . . . . . . . . . . 399--401
Joseph F. Daly On the Unbiased Character of
Likelihood-Ratio Tests for Independence
in Normal Systems . . . . . . . . . . . 1--32
Paul L. Dressel Statistical Seminvariants and Their
Estimates with Particular Emphasis on
Their Relation to Algebraic Invariants 33--57
Paul G. Hoel The Errors Involved in Evaluating
Correlation Determinants . . . . . . . . 58--65
P. S. Dwyer The Cumulative Numbers and Their
Polynomials . . . . . . . . . . . . . . 66--71
Gertrude M. Cox Enumeration and Construction of Balanced
Incomplete Block Configurations . . . . 72--85
Milton Friedman A Comparison of Alternative Tests of
Significance for the Problem of $m$
Rankings . . . . . . . . . . . . . . . . 86--92
W. G. Cochran Note on an Approximate Formula for the
Significance Levels of $Z$ . . . . . . . 93--95
Abraham Wald A Note on the Analysis of Variance with
Unequal Class Frequencies . . . . . . . 96--100
William G. Madow The Distribution of Quadratic Forms in
Non-Central Normal Random Variables . . 100--103
Louis Olshevsky Two Properties of Sufficient Statistics 104--106
W. D. Evans Note on the Moments of a Binomially
Distributed Variate . . . . . . . . . . 106--107
Paul R. Rider Report of the Annual Meeting of the
\insttitleInstitute . . . . . . . . . . 108--109
Anonymous Abstracts of Papers . . . . . . . . . . 110--115
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 116--117
Anonymous By-Laws . . . . . . . . . . . . . . . . 117--119
Anonymous Directory of the \insttitleInstitute of
Mathematical Statistics . . . . . . . . 120--123
William G. Madow Limiting Distributions of Quadratic and
Bilinear Forms . . . . . . . . . . . . . 125--146
A. Wald and
J. Wolfowitz On a Test Whether Two Samples are from
the Same Population . . . . . . . . . . 147--162
Edward L. Dodd The Substitutive Mean and Certain
Subclasses of this General Mean . . . . 163--176
Cecil C. Craig The Product Semi-Invariants of the Mean
and a Central Moment in Samples . . . . 177--185
George B. Dantzig On the Non-Existence of Tests of
``Student's'' Hypothesis Having Power
Functions Independent of $ \sigma $ . . 186--192
Olav Reiersôl A Method for Recurrent Computation of
all the Principal Minors of a
Determinant, and its Application in
Confluence Analysis . . . . . . . . . . 193--198
W. J. Dixon A Criterion for Testing the Hypothesis
that Two Samples are from the Same
Population . . . . . . . . . . . . . . . 199--204
John W. Mauchly Significance Test for Sphericity of a
Normal $n$-Variate Distribution . . . . 204--209
S. Kullback and
A. Frankel A Simple Sampling Experiment on
Confidence Intervals . . . . . . . . . . 209--213
A. C. Cohen, Jr. The Numerical Computation of the Product
of Conjugate Imaginary Gamma Functions 213--218
G. A. Baker Comparison of Pearsonian Approximations
with Exact Sampling Distributions of
Means and Variances in Samples from
Populations Composed of the Sums of
Normal Populations . . . . . . . . . . . 219--224
W. E. Bleick A Least Squares Accumulation Theorem . . 225--226
N. L. Johnson Parabolic Test for Linkage . . . . . . . 227--253
George W. Brown Reduction of a Certain Class of
Composite Statistical Hypotheses . . . . 254--270
Harold Hotelling The Selection of Variates for Use in
Prediction with Some Comments on the
General Problem of Nuisance Parameters 271--283
Abraham Wald The Fitting of Straight Lines if Both
Variables are Subject to Error . . . . . 284--300
Robert R. Singleton A Method for Minimizing the Sum of
Absolute Values of Deviations . . . . . 301--310
Joseph A. Pierce A Study of a Universe of $n$ Finite
Populations with Application to
Moment-Function Adjustments for Grouped
Data . . . . . . . . . . . . . . . . . . 311--334
W. G. Cochran The Analysis of Variance when
Experimental Errors Follow the Poisson
or Binomial Laws . . . . . . . . . . . . 335--347
Bradford F. Kimball Orthogonal Polynomials Applied to Least
Square Fitting of Weighted Observations 348--352
P. S. Dwyer Combinatorial Formulas for the $r$ th
Standard Moment of the Sample Sum, of
the Sample Mean, and of the Normal Curve 353--355
E. G. Olds On a Method of Sampling . . . . . . . . 355--358
Max A. Woodbury Rank Correlation when There are Equal
Variates . . . . . . . . . . . . . . . . 358--362
P. S. Olmstead Note on Theoretical and Observed
Distributions of Repetitive Occurrences 363--366
A. M. Mood The Distribution Theory of Runs . . . . 367--392
Hilda Geiringer A Generalization of the Law of Large
Numbers . . . . . . . . . . . . . . . . 393--401
M. G. Kendall Conditions for Uniqueness in the Problem
of Moments . . . . . . . . . . . . . . . 402--409
C. T. Hsu On Samples from a Normal Bivariate
Population . . . . . . . . . . . . . . . 410--426
W. Edwards Deming and
Frederick F. Stephan On a Least Squares Adjustment of a
Sampled Frequency Table When the
Expected Marginal Totals are Known . . . 427--444
Nilan Norris The Standard Errors of the Geometric and
Harmonic Means and Their Application to
Index Numbers . . . . . . . . . . . . . 445--448
A. W. Brown A Note on the Use of a Pearson Type III
Function in Renewal Theory . . . . . . . 448--453
Evan Johnson, Jr. Estimates of Parameters by Means of
Least Squares . . . . . . . . . . . . . 453--456
Harold Hotelling The Teaching of Statistics . . . . . . . 457--470
W. Edwards Deming Discussion of Professor Hotelling's
Paper . . . . . . . . . . . . . . . . . 470--471
Anonymous Resolutions on the Teaching of
Statistics . . . . . . . . . . . . . . . 472--472
Anonymous Report of the Hanover Meeting of the
\insttitleInstitute . . . . . . . . . . 473--474
Anonymous Abstracts of Papers . . . . . . . . . . 475--478
Anonymous Report of the War Preparedness Committee
of the \insttitleInstitute of
Mathematical Statistics . . . . . . . . 479--484
Abraham Wald Asymptotically Most Powerful Tests of
Statistical Hypotheses . . . . . . . . . 1--19
Harold Hotelling Experimental Determination of the
Maximum of a Function . . . . . . . . . 20--45
J. Neyman On a Statistical Problem Arising in
Routine Analyses and in Sampling
Inspections of Mass Production . . . . . 46--76
Franklin E. Satterthwaite A Concise Analysis of Certain Algebraic
Forms . . . . . . . . . . . . . . . . . 77--83
Paul L. Dressel A Symmetric Method of Obtaining Unbiased
Estimates and Expected Values . . . . . 84--90
S. S. Wilks Determination of Sample Sizes for
Setting Tolerance Limits . . . . . . . . 91--96
Frank S. Beale On a Certain Class of Orthogonal
Polynomials . . . . . . . . . . . . . . 97--103
P. S. Dwyer The Skewness of the Residuals in Linear
Regression Theory . . . . . . . . . . . 104--110
Arthur J. Kavanagh Note on the Adjustment of Observations 111--114
Robert D. Gordon The Estimation of a Quotient when the
Denominator is Normally Distributed . . 115--118
A. Wald and
J. Wolfowitz Note on Confidence Limits for Continuous
Distribution Functions . . . . . . . . . 118--119
P. R. Rider Report of the Chicago Meeting of the
\insttitleInstitute . . . . . . . . . . 120--122
Anonymous Abstracts of Papers . . . . . . . . . . 123--125
Edward L. Dodd The Cyclic Effects of Linear Graduations
Persisting in the Differences of the
Graduated Values . . . . . . . . . . . . 127--136
A. Wald and
R. J. Brookner On the Distribution of Wilks' Statistic
for Testing the Independence of Several
Groups of Variates . . . . . . . . . . . 137--152
John von Neumann and
R. H. Kent and
H. R. Bellinson and
B. I. Hart The mean square successive difference 153--162
E. J. Gumbel The Return Period of Flood Flows . . . . 163--190
R. von Mises On the Foundations of Probability and
Statistics . . . . . . . . . . . . . . . 191--205
J. L. Doob Probability as Measure . . . . . . . . . 206--214
R. von Mises and
J. L. Doob Discussion of Papers on Probability
Theory . . . . . . . . . . . . . . . . . 215--217
Leo A. Aroian Continued fractions for the incomplete
Beta function . . . . . . . . . . . . . 218--223
Cecil C. Craig Note on the Distribution of Non-Central
$t$ with an Application . . . . . . . . 224--228
Frederick Mosteller Note on an Application of Runs to
Quality Control Charts . . . . . . . . . 228--232
G. A. Baker Test of Homogeneity for Normal
Populations . . . . . . . . . . . . . . 233--236
W. Mac Stewart A Note on the Power of the Sign Test . . 236--239
J. D. Williams Moments of the Ratio of the Mean Square
Successive Difference to the Mean Square
Difference in Samples From a Normal
Universe . . . . . . . . . . . . . . . . 239--241
Willy Feller On the Integral Equation of Renewal
Theory . . . . . . . . . . . . . . . . . 243--267
A. M. Mood On the Joint Distribution of the Medians
in Samples from a Multivariate
Population . . . . . . . . . . . . . . . 268--278
Chung Tsi Hsu Samples from Two Bivariate Normal
Populations . . . . . . . . . . . . . . 279--292
L. C. Young On randomness in ordered sequences . . . 293--300
Edward Paulson On Certain Likelihood-Ratio Tests
Associated with the Exponential
Distribution . . . . . . . . . . . . . . 301--306
L. B. Tuckerman On the Mathematically Significant
Figures in the Solution of Simultaneous
Linear Equations . . . . . . . . . . . . 307--316
J. C. McPherson On Mechanical Tabulation of Polynomials 317--327
Kai Lai Chung On the Probability of the Occurrence of
at Least $m$ Events Among $n$ Arbitrary
Events . . . . . . . . . . . . . . . . . 328--338
Cecil C. Craig A Note on Sheppard's Corrections . . . . 339--345
Abraham Wald On the Analysis of Variance in Case of
Multiple Classifications with Unequal
Class Frequencies . . . . . . . . . . . 346--350
T. N. E. Greville The Frequency Distribution of a General
Matching Problem . . . . . . . . . . . . 350--354
Paul G. Hoel On Methods of Solving Normal Equations 354--359
Paul A. Samuelson Conditions That the Roots of a
Polynomial be Less Than Unity in
Absolute Value . . . . . . . . . . . . . 360--364
Robert D. Gordon Values of Mills' Ratio of Area to
Bounding Ordinate and of the Normal
Probability Integral for Large Values of
the Argument . . . . . . . . . . . . . . 364--366
John von Neumann Distribution of the ratio of the mean
square successive difference to the
variance . . . . . . . . . . . . . . . . 367--395
Abraham Wald Some Examples of Asymptotically Most
Powerful Tests . . . . . . . . . . . . . 396--408
J. H. Curtiss On the Distribution of the Quotient of
Two Chance Variables . . . . . . . . . . 409--421
Edward L. Dodd Some Generalizations of the Logarithmic
Mean and of Similar Means of Two
Variates Which Become Indeterminate When
the Two Variates are Equal . . . . . . . 422--428
Leo A. Aroian A Study of R. A. Fisher's $z$
Distribution and the Related $F$
Distribution . . . . . . . . . . . . . . 429--448
Paul S. Dwyer The Doolittle Technique . . . . . . . . 449--458
Joseph F. Daly A Problem in Estimation . . . . . . . . 459--461
A. Kolmogoroff Confidence limits for an unknown
distribution function . . . . . . . . . 461--463
M. G. Kendall Corrections to a Paper on the Uniqueness
Problem of Moments . . . . . . . . . . . 464--465
Anonymous Announcement Concerning Computation of
Mathematical Tables . . . . . . . . . . 465--467
Edwin G. Olds Report of the Chicago Meeting of the
\insttitleInstitute . . . . . . . . . . 468--469
Anonymous Abstracts of Papers . . . . . . . . . . 470--473
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 474--474
R. L. Anderson Distribution of the Serial Correlation
Coefficient . . . . . . . . . . . . . . 1--13
Tjalling Koopmans Serial Correlation and Quadratic Forms
in Normal Variables . . . . . . . . . . 14--33
Franklin E. Satterthwaite A Generalized Analysis of Variance . . . 34--41
Paul H. Anderson Distributions in Stratified Sampling . . 42--52
S. Bernstein Solution of a Mathematical Problem
Connected with the Theory of Heredity 53--61
Burton H. Camp Some Recent Advances in Mathematical
Statistics, I . . . . . . . . . . . . . 62--73
Cecil C. Craig Recent Advances in Mathematical
Statistics, II . . . . . . . . . . . . . 74--85
John von Neumann A further remark concerning the
distribution of the ratio of the mean
square successive difference to the
variance . . . . . . . . . . . . . . . . 86--88
E. F. Beckenbach Convexity Properties of Generalized Mean
Value Functions . . . . . . . . . . . . 88--90
Eugene Lukacs A Characterization of the Normal
Distribution . . . . . . . . . . . . . . 91--93
Carlos E. Dieulefait Note on a Method of Sampling . . . . . . 94--97
Carl H. Fischer A Sequence of Discrete Variables
Exhibiting Correlation Due to Common
Elements . . . . . . . . . . . . . . . . 97--101
Edwin G. Olds Report of the New York Meeting of the
\insttitleInstitute . . . . . . . . . . 102--106
Edwin G. Olds Report of the Dallas Meeting of the
\insttitleInstitute . . . . . . . . . . 106--107
Edwin G. Olds Annual Report of the Secretary-Treasurer
of the \insttitleInstitute . . . . . . . 107--109
Anonymous Abstracts of Papers . . . . . . . . . . 110--113
Alfred J. Lotka The Progeny of an Entire Population . . 115--126
Abraham Wald Asymptotically Shortest Confidence
Intervals . . . . . . . . . . . . . . . 127--137
P. S. Dwyer Grouping Methods . . . . . . . . . . . . 138--155
R. von Mises On the Correct Use of Bayes' Formula . . 156--165
Frederick F. Stephan An Iterative Method of Adjusting Sample
Frequency Tables When Expected Marginal
Totals are Known . . . . . . . . . . . . 166--178
A. A. Hasel Estimation of Volume in Timber Stands by
Strip Sampling . . . . . . . . . . . . . 179--206
B. I. Hart and
John von Neumann Tabulation of the Probabilities for the
Ratio of the Mean Square Successive
Difference to the Variance . . . . . . . 207--214
Irving W. Burr Cumulative Frequency Functions . . . . . 215--232
Edward Paulson An Approximate Normalization of the
Analysis of Variance Distribution . . . 233--235
M. A. Girshick Note on the Distribution of Roots of a
Polynomial with Random Complex
Coefficients . . . . . . . . . . . . . . 235--238
Hilda Geiringer A Note on the Probability of Arbitrary
Events . . . . . . . . . . . . . . . . . 238--245
Z. W. Birnbaum An Inequality for Mill's Ratio . . . . . 245--246
J. Wolfowitz Additive Partition Functions and a Class
of Statistical Hypotheses . . . . . . . 247--279
Henry Scheffé On the Theory of Testing Composite
Hypotheses with One Constraint . . . . . 280--293
I. L. Battin On the Problem of Multiple Matching . . 294--305
H. B. Mann and
A. Wald On the Choice of the Number of Class
Intervals in the Application of the Chi
Square Test . . . . . . . . . . . . . . 306--317
Bradford F. Kimball Limited Type of Primary Probability
Distribution Applied to Annual Maximum
Flood Flows . . . . . . . . . . . . . . 318--325
Franklin E. Satterthwaite Linear Restrictions on Chi-Square . . . 326--331
A. T. Lonseth Systems of Linear Equations with
Coefficients Subject to Error . . . . . 332--337
Kai-Lai Chung On Mutually Favorable Events . . . . . . 338--349
Hilda Geiringer Observations on Analysis of Variance
Theory . . . . . . . . . . . . . . . . . 350--369
Henry Scheffé On the Ratio of the Variances of Two
Normal Populations . . . . . . . . . . . 371--388
Abraham Wald Setting of Tolerance Limits When the
Sample is Large . . . . . . . . . . . . 389--399
S. S. Wilks Statistical Prediction with Special
Reference to the Problem of Tolerance
Limits . . . . . . . . . . . . . . . . . 400--409
F. E. Satterthwaite Generalized Poisson Distribution . . . . 410--417
Henry B. Mann The construction of orthogonal Latin
squares . . . . . . . . . . . . . . . . 418--423
P. A. Samuelson A Method of Determining Explicitly the
Coefficients of the Characteristic
Equation . . . . . . . . . . . . . . . . 424--429
J. H. Curtiss A Note on the Theory of Moment
Generating Functions . . . . . . . . . . 430--433
Abraham Wald On the Power Function of the Analysis of
Variance Test . . . . . . . . . . . . . 434--439
Edward Paulson A Note on the Estimation of Some Mean
Values for a Bivariate Distribution . . 440--445
B. I. Hart Significance Levels for the Ratio of the
Mean Square Successive Difference to the
Variance . . . . . . . . . . . . . . . . 445--447
M. A. Girshick A Correction: ``Note on the Distribution
of Roots of a Polynomial with Random
Complex Coefficients'' . . . . . . . . . 447--447
Edwin G. Olds Report of the Poughkeepsie Meeting of
the \insttitleInstitute . . . . . . . . 448--449
Anonymous Abstracts of Papers . . . . . . . . . . 450--453
Harold Hotelling Some New Methods in Matrix Calculation 1--34
Henry Scheffé On Solutions of the Behrens--Fisher
Problem, Based on the $t$-Distribution 35--44
Abraham Wald An Extension of Wilks' Method for
Setting Tolerance Limits . . . . . . . . 45--55
Alfred M. Peiser Asymptotic Formulas for Significance
Levels of Certain Distributions . . . . 56--62
Kai Lai Chung Generalization of Poincaré's Formula in
the Theory of Probability . . . . . . . 63--65
Frieda S. Swed and
C. Eisenhart Tables for testing randomness of
grouping in a sequence of alternatives 66--87
Allen T. Craig A Note on the Best Linear Estimate . . . 88--90
Edward Paulson A Note on Tolerance Limits . . . . . . . 90--93
Leo A. Aroian A New Approximation to the Levels of
Significance of the Chi-Square
Distribution . . . . . . . . . . . . . . 93--95
Anonymous News and Notices . . . . . . . . . . . . 96--98
Cecil C. Craig Annual Report of the President of the
\insttitleInstitute . . . . . . . . . . 98--100
Edwin G. Olds Annual Report of the Secretary-Treasurer
of the \insttitleInstitute . . . . . . . 100--102
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 102--104
Anonymous By-Laws . . . . . . . . . . . . . . . . 104--105
J. H. Curtiss On Transformations Used in the Analysis
of Variance . . . . . . . . . . . . . . 107--122
Kai Lai Chung On Fundamental Systems of Probabilities
of a Finite Number of Events . . . . . . 123--133
Abraham Wald On the Efficient Design of Statistical
Investigations . . . . . . . . . . . . . 134--140
D. S. Villars and
T. W. Anderson Some Significance Tests for Normal
Bivariate Distributions . . . . . . . . 141--148
Herbert A. Simon Symmetric Tests of the Hypothesis that
the Mean of One Normal Population
Exceeds that of Another . . . . . . . . 149--154
Paul G. Hoel On Indices of Dispersion . . . . . . . . 155--162
E. J. Gumbel On Serial Numbers . . . . . . . . . . . 163--178
Paul A. Samuelson Fitting general Gram--Charlier series 179--187
Harold C. Mathisen A Method of Testing the Hypothesis that
Two Samples are from the Same Population 188--194
Allen T. Craig Note on the Independence of Certain
Quadratic Forms . . . . . . . . . . . . 195--197
Irving Kaplansky A Characterization of the Normal
Distribution . . . . . . . . . . . . . . 197--198
Anonymous News and Notices . . . . . . . . . . . . 199--201
Anonymous Special Courses in Statistical Quality
Control . . . . . . . . . . . . . . . . 202--203
Anonymous Report of the New York Meeting of the
\insttitleInstitute . . . . . . . . . . 204--204
W. G. Cochran The Comparison of Different Scales of
Measurement for Experimental Results . . 205--216
H. B. Mann and
A. Wald On Stochastic Limit and Order
Relationships . . . . . . . . . . . . . 217--226
Henry Scheffé On a Measure Problem Arising in the
Theory of Non-Parametric Tests . . . . . 227--233
Kai Lai Chung Further Results on Probabilities of a
Finite Number of Events . . . . . . . . 234--237
R. von Mises On the Problem of Testing Hypotheses . . 238--252
E. J. Gumbel On the Reliability of the Classical
Chi-Square Test . . . . . . . . . . . . 253--263
H. F. Dodge A Sampling Inspection Plan for
Continuous Production . . . . . . . . . 264--279
J. Wolfowitz On the Theory of Runs with some
Applications to Quality Control . . . . 280--288
Paul G. Hoel The Accuracy of Sampling Methods in
Ecology . . . . . . . . . . . . . . . . 289--300
Anonymous News and Notices . . . . . . . . . . . . 301--302
Edward G. Olds Report of the Washington Meeting of the
\insttitleInstitute . . . . . . . . . . 302--303
Howard Hand Report of the First Meeting of the
Pittsburgh Chapter of the
\insttitleInstitute . . . . . . . . . . 303--304
Henry Scheffé Statistical Inference in the
Non-Parametric Case . . . . . . . . . . 305--332
Morris H. Hansen and
William N. Hurwitz On the Theory of Sampling from Finite
Populations . . . . . . . . . . . . . . 333--362
Walter Bartky Multiple Sampling with Constant
Probability . . . . . . . . . . . . . . 363--377
A. Wald and
J. Wolfowitz An exact test for randomness in the
non-parametric case, based on serial
correlation . . . . . . . . . . . . . . 378--388
W. Feller On a General Class of ``Contagious''
Distributions . . . . . . . . . . . . . 389--400
H. B. Mann On the Construction of Sets of
Orthogonal Latin Squares . . . . . . . . 401--414
Alexander M. Mood On the Dependence of Sampling Inspection
Plans Upon Population Distributions . . 415--425
T. W. Anderson On Card Matching . . . . . . . . . . . . 426--435
Robert Dorfman The Detection of Defective Members of
Large Populations . . . . . . . . . . . 436--440
Harold Hotelling Further Points on Matrix Calculation and
Simultaneous Equations . . . . . . . . . 440--441
Anonymous News and Notices . . . . . . . . . . . . 442--443
Edwin G. Olds Report on the New Brunswick Meeting of
the \insttitleInstitute . . . . . . . . 444--445
Howard Hand Report on the Second Meeting of the
Pittsburgh Chapter of the
\insttitleInstitute . . . . . . . . . . 445--445
Anonymous Abstracts of Papers . . . . . . . . . . 445--447
Anonymous Directory of the \insttitleInstitute of
Mathematical Statistics . . . . . . . . 448--468
William G. Madow and
Lillian H. Madow On the Theory of Systematic Sampling, I 1--24
Hilda Geiringer On the Probability Theory of Linkage in
Mendelian Heredity . . . . . . . . . . . 25--57
H. Levene and
J. Wolfowitz The covariance matrix of runs up and
down . . . . . . . . . . . . . . . . . . 58--69
H. E. Robbins On the Measure of a Random Set . . . . . 70--74
Frank E. Grubbs On the Distribution of the Radial
Standard Deviation . . . . . . . . . . . 75--81
Paul S. Dwyer A Matrix Presentation of Least Squares
and Correlation Theory with Matrix
Justification of Improved Methods of
Solution . . . . . . . . . . . . . . . . 82--89
Benjamin Epstein and
C. West Churchman On the Statistics of Sensitivity Data 90--96
J. Wolfowitz Note on Runs of Consecutive Elements . . 97--98
Albert H. Bowker Note on Consistency of a Proposed Test
for the Problem of Two Samples . . . . . 98--101
A. R. Crathorne Henry Lewis Rietz --- In Memoriam . . . 102--108
Anonymous News and Notices . . . . . . . . . . . . 109--110
C. C. Craig Annual Report of the President of the
\insttitleInstitute . . . . . . . . . . 111--112
Edwin C. Olds Annual Report of the Secretary-Treasurer
of the \insttitleInstitute . . . . . . . 113--114
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 114--116
Anonymous By-Laws . . . . . . . . . . . . . . . . 116--118
Wilfrid J. Dixon Further Contributions to the Problem of
Serial Correlation . . . . . . . . . . . 119--144
Abraham Wald On a Statistical Problem Arising in the
Classification of an Individual into One
of Two Groups . . . . . . . . . . . . . 145--162
J. Wolfowitz Asymptotic distribution of runs up and
down . . . . . . . . . . . . . . . . . . 163--172
H. Hurwitz, Jr. and
M. Kac Statistical Analysis of Certain Types of
Random Functions . . . . . . . . . . . . 173--181
Paul R. Halmos Random Alms . . . . . . . . . . . . . . 182--189
T. A. Bancroft On Biases in Estimation Due to the Use
of Preliminary Tests of Significance . . 190--204
Joseph Ullman The Probability of Convergence of an
Iterative Process of Inverting a Matrix 205--213
Herbert Robbins On Distribution-free Tolerance Limits in
Random Sampling . . . . . . . . . . . . 214--216
H. Scheffé and
J. W. Tukey A formula for sample sizes for
population tolerance limits . . . . . . 217--217
T. N. E. Greville A Generalization of Waring's Formula . . 218--219
H. G. Landau Note on the Variance and Best Estimates 219--221
Anonymous News and Notices . . . . . . . . . . . . 222--225
W. G. Madow Report on the Washington Meeting of the
\insttitleInstitute . . . . . . . . . . 226--227
J. L. Doob The Elementary Gaussian Processes . . . 229--282
Abraham Wald On Cumulative Sums of Random Variables 283--296
Harold Hotelling Some Improvements in Weighing and Other
Experimental Techniques . . . . . . . . 297--306
Boyd Harshbarger On the Analysis of a Certain Six-By-Six
Four-Group Lattice Design . . . . . . . 307--320
H. E. Robbins On the Expected Values of Two Statistics 321--323
A. T. Lonseth On Relative Errors in Systems of Linear
Equations . . . . . . . . . . . . . . . 323--325
Louis M. Court A Reciprocity Principle for the
Neyman--Pearson Theory of Testing
Statistical Hypotheses . . . . . . . . . 326--327
Z. W. Birnbaum and
Herbert S. Zuckerman An inequality due to H. Hornich . . . . 328--329
Abraham Wald Note on a Lemma . . . . . . . . . . . . 330--333
J. Ernest Wilkins, Jr. A Note on Skewness and Kurtosis . . . . 333--335
Anonymous News and Notices . . . . . . . . . . . . 336--337
P. S. Dwyer Report on the Wellesley Meeting of the
\insttitleInstitute . . . . . . . . . . 338--339
Anonymous Amendments to the Constitution and
By-Laws of the \insttitleInstitute . . . 340--341
Anonymous Abstracts of Papers . . . . . . . . . . 342--343
T. W. Anderson and
M. A. Girshick Some Extensions of the Wishart
Distribution . . . . . . . . . . . . . . 345--357
A. Wald and
J. Wolfowitz Statistical Tests Based on Permutations
of the Observations . . . . . . . . . . 358--372
F. E. Satterthwaite Error Control in Matrix Calculation . . 373--387
Emma Lehmer Inverse Tables of Probabilities of
Errors of the Second Kind . . . . . . . 388--398
L. C. Hsu Some Combinatorial Formulas with
Applications to Probable Values of a
Polynomial-Product and to Differences of
Zero . . . . . . . . . . . . . . . . . . 399--413
E. J. Gumbel Ranges and Midranges . . . . . . . . . . 414--422
Bradford F. Kimball Note on Asymptotic Value of Probability
Distribution of Sum of Random Variables
which are Greater than a Set of
Arbitrarily Chosen Numbers . . . . . . . 423--427
Harold Hotelling Note on a matric theorem of A. T. Craig 427--429
Henry Scheffé A note on the Behrens--Fisher problem 430--432
T. N. E. Greville On Multiple Matching with One Variable
Deck . . . . . . . . . . . . . . . . . . 432--434
W. G. Cochran Review: E. S. Pearson, John Wishart,
\booktitle``Student's'' Collected Papers 435--438
P. L. Hsu The Approximate Distributions of the
Mean and Variance of a Sample of
Independent Variables . . . . . . . . . 1--29
A. Wald and
J. Wolfowitz Sampling Inspection Plans for Continuous
Production which Insure a Prescribed
Limit on the Outgoing Quality . . . . . 30--49
Frederick F. Stephan The Expected Value and Variance of the
Reciprocal and Other Negative Powers of
a Positive Bernoullian Variate . . . . . 50--61
M. Kac Random Walk in the Presence of Absorbing
Barriers . . . . . . . . . . . . . . . . 62--67
R. von Mises On the Classification of Observation
Data into Distinct Groups . . . . . . . 68--73
Milton da Silva Rodrigues On an Extension of the Concept of Moment
with Applications to Measures of
Variability, General Similarity, and
Overlapping . . . . . . . . . . . . . . 74--84
Henry B. Mann On a Problem of Estimation Occurring in
Public Opinion Polls . . . . . . . . . . 85--90
Kai-Lai Chung and
Lietz C. Hsu A Combinatorial Formula and its
Application to the Theory of Probability
of Arbitrary Events . . . . . . . . . . 91--95
Carl F. Kossack On the Mechanics of Classification . . . 95--98
T. A. Bancroft Note on an Identity in the Incomplete
Beta Function . . . . . . . . . . . . . 98--99
Anonymous News and Notices . . . . . . . . . . . . 100--102
Walter A. Shewhart Annual Report of the President of the
\insttitleInstitute . . . . . . . . . . 103--104
Paul S. Dwyer Annual Report of the Secretary-Treasurer
of the \insttitleInstitute . . . . . . . 105--106
W. G. Cochran and
W. E. Deming and
P. S. Dwyer and
T. Koopmans Report of the Membership Committee of
the \insttitleInstitute . . . . . . . . 107--108
C. I. Bliss and
W. G. Cochran and
W. E. Deming and
P. S. Olmstead and
S. S. Wilks Progress Report of the Committee on
Post-War Development of the
\insttitleInstitute . . . . . . . . . . 109--111
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 112--113
Anonymous By-Laws . . . . . . . . . . . . . . . . 114--116
A. Wald Sequential Tests of Statistical
Hypotheses . . . . . . . . . . . . . . . 117--186
H. Scheffé and
J. W. Tukey Non-parametric estimation. I. Validation
of order statistics . . . . . . . . . . 187--192
Henry B. Mann On a Test for Randomness Based on Signs
of Differences . . . . . . . . . . . . . 193--199
Irving Kaplansky The Asymptotic Distribution of Runs of
Consecutive Elements . . . . . . . . . . 200--203
P. L. Hsu On the Approximate Distribution of
Ratios . . . . . . . . . . . . . . . . . 204--210
Herman Rubin On the Distribution of the Serial
Correlation Coefficient . . . . . . . . 211--215
F. V. Waugh A Note Concerning Hotelling's Method of
Inverting a Partitioned Matrix . . . . . 216--217
Anonymous News and Notices . . . . . . . . . . . . 218--220
Ralph J. Brookner Choice of One Among Several Statistical
Hypotheses . . . . . . . . . . . . . . . 221--242
Charles Stein A Two-Sample Test for a Linear
Hypothesis Whose Power is Independent of
the Variance . . . . . . . . . . . . . . 243--258
Frederick V. Waugh and
Paul S. Dwyer Compact Computation of the Inverse of a
Matrix . . . . . . . . . . . . . . . . . 259--271
Irving Kaplansky and
John Riordan Multiple Matching and Runs by the
Symbolic Method . . . . . . . . . . . . 272--277
P. L. Hsu On the Power Functions of the $ E^2
$-Test and the $ T^2 $-Test . . . . . . 278--286
Abraham Wald Some Generalizations of the Theory of
Cumulative Sums of Random Variables . . 287--293
K. Kishen On the Design of Experiments for
Weighing and Making Other Types of
Measurements . . . . . . . . . . . . . . 294--300
W. Feller Note on the Law of Large Numbers and
``Fair'' Games . . . . . . . . . . . . . 301--304
Gerhard Tintner A Note on Rank, Multicollinearity and
Multiple Regression . . . . . . . . . . 304--308
William G. Madow Note on the Distribution of the Serial
Correlation Coefficient . . . . . . . . 308--310
H. B. Mann Note on a Paper by C. W. Cotterman and
L. H. Snyder . . . . . . . . . . . . . . 311--312
Anonymous News and Notices . . . . . . . . . . . . 313--316
P. S. Dwyer Report of the Rutgers Meeting of the
\insttitleInstitute . . . . . . . . . . 317--318
W. Feller On the Normal Approximation to the
Binomial Distribution . . . . . . . . . 319--329
J. Bronowski and
J. Neyman The Variance of the Measure of a
Two-Dimensional Random Set . . . . . . . 330--341
H. E. Robbins On the Measure of a Random Set. II . . . 342--347
Reinhold Baer Sampling from a Changing Population . . 348--361
Paul G. Hoel Testing the Homogeneity of Poisson
Frequencies . . . . . . . . . . . . . . 362--368
L. C. Hsu Some Combinatorial Formulas on
Mathematical Expectation . . . . . . . . 369--380
S. Vajda On the Constituent Items of the
Reduction and the Remainder in the
Method of Least Squares . . . . . . . . 381--386
Boyd Harshbarger On the Analysis of a Certain Six-By-Six
Four-Group Lattice Design Using the
Recovery of Inter-Block Information . . 387--390
Hilda Geiringer Further Remarks on Linkage Theory in
Mendelian Heredity . . . . . . . . . . . 390--393
Hilda Geiringer On the Definition of Distance in the
Theory of the Gene . . . . . . . . . . . 393--398
Clifford E. Berry A Criterion of Convergence for the
Classical Iterative Method of Solving
Linear Simultaneous Equations . . . . . 398--400
M. Kac A Remark on Independence of Linear and
Quadratic Forms Involving Independent
Gaussian Variables . . . . . . . . . . . 400--401
Anonymous Abstracts of Papers . . . . . . . . . . 402--404
George W. Brown and
John W. Tukey Some distributions of sample means . . . 1--12
M. A. Girshick and
Frederick Mosteller and
L. J. Savage Unbiased Estimates for Certain Binomial
Sampling Problems with Applications . . 13--23
P. S. Olmstead Distribution of sample arrangements for
runs up and down . . . . . . . . . . . . 24--33
Paul R. Halmos The Theory of Unbiased Estimation . . . 34--43
John E. Walsh Some Significance Tests Based on Order
Statistics . . . . . . . . . . . . . . . 44--52
Felix Cernuschi and
Louis Castagnetto Chains of Rare Events . . . . . . . . . 53--61
J. H. Curtiss A Note on Some Single Sampling Plans
Requiring the Inspection of a Small
Number of Items . . . . . . . . . . . . 62--70
Joseph F. Daly On the Use of the Sample Range in an
Analogue of Student's $t$-Test . . . . . 71--74
John W. Tukey An inequality for deviations from
medians . . . . . . . . . . . . . . . . 75--78
E. J. Gumbel On the Independence of the Extremes in a
Sample . . . . . . . . . . . . . . . . . 78--81
Paul Peach and
S. B. Littauer A Note on Sampling Inspection . . . . . 81--84
David Blackwell On an Equation of Wald . . . . . . . . . 84--87
H. B. Mann Correction to the Paper ``On a Problem
of Estimation Occurring in Public
Opinion Polls'' . . . . . . . . . . . . 87--88
Anonymous News and Notices . . . . . . . . . . . . 89--91
Paul S. Dwyer Report on the Cleveland Meeting of the
\insttitleInstitute . . . . . . . . . . 92--94
Anonymous Annual Report of the President of the
\insttitleInstitute . . . . . . . . . . 95--113
Anonymous Annual Report of the Secretary-Treasurer
of the \insttitleInstitute . . . . . . . 114--115
Anonymous Annual Report of the Editor . . . . . . 116--116
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 117--118
Anonymous By-Laws . . . . . . . . . . . . . . . . 119--121
M. A. Girshick Contributions to the Theory of
Sequential Analysis. I . . . . . . . . . 123--143
Louis Guttman An Approach for Quantifying Paired
Comparisons and Rank Order . . . . . . . 144--163
W. G. Cochran Relative Accuracy of Systematic and
Stratified Random Samples for a Certain
Class of Populations . . . . . . . . . . 164--177
Charles D. Ferris and
Frank E. Grubbs and
Chalmers L. Weaver Operating Characteristics for the Common
Statistical Tests of Significance . . . 178--197
J. R. Vatnsdal Minimal Variance and its Relation to
Efficient Moment Tests . . . . . . . . . 198--207
A. Wald and
J. Wolfowitz Tolerance Limits for a Normal
Distribution . . . . . . . . . . . . . . 208--215
Henry Goldberg and
Harriet Levine Approximate formulas for the percentage
points and normalization of $t$ and $
\chi^2 $ . . . . . . . . . . . . . . . . 216--225
Burton H. Camp The Effect on a Distribution Function of
Small Changes in the Population Function 226--231
C. I. Bliss An Experimental Design for Slope-Ratio
Assays . . . . . . . . . . . . . . . . . 232--237
Albert H. Bowker Computation of Factors for Tolerance
Limits on a Normal Distribution when the
Sample is Large . . . . . . . . . . . . 238--240
David F. Votaw, Jr. The Probability Distribution of the
Measure of a Random Linear Set . . . . . 240--244
Edmund Churchill Information Given by Odd Moments . . . . 244--246
John E. Walsh Some Order Statistic Distributions for
Samples of Size Four . . . . . . . . . . 246--248
Anonymous News and Notices . . . . . . . . . . . . 249--253
S. Kullback Report on the April Meeting of the
Washington Chapter of the
\insttitleInstitute . . . . . . . . . . 254--255
S. S. Wilks Sample Criteria for Testing Equality of
Means, Equality of Variances, and
Equality of Covariances in a Normal
Multivariate Distribution . . . . . . . 257--281
M. A. Girshick Contributions to the Theory of
Sequential Analysis, II, III . . . . . . 282--298
Bradford F. Kimball Sufficient Statistical Estimation
Functions for the Parameters of the
Distribution of Maximum Values . . . . . 299--309
D. Blackwell and
M. A. Girshick On Functions of Sequences of Independent
Chance Vectors with Applications to the
Problem of the ``Random Walk'' in $k$
Dimensions . . . . . . . . . . . . . . . 310--317
John W. Tukey and
S. S. Wilks Approximation of the distribution of the
product of beta variables by a single
beta variable . . . . . . . . . . . . . 318--324
Edward C. Molina Some Fundamental Curves for the Solution
of Sampling Problems . . . . . . . . . . 325--335
Louis Guttman Enlargement Methods for Computing the
Inverse Matrix . . . . . . . . . . . . . 336--343
D. J. Finney The Frequency Distribution of Deviates
from Means and Regression Lines in
Samples from a Multivariate Normal
Population . . . . . . . . . . . . . . . 344--349
P. L. Hsu On the Asymptotic Distributions of
Certain Statistics Used in Testing the
Independence Between Successive
Observations from a Normal Population 350--354
A. George Carlton Estimating the Parameters of a
Rectangular Distribution . . . . . . . . 355--358
John E. Walsh On the Power Function of the Sign Test
for Slippage of Means . . . . . . . . . 358--362
J. D. Williams An Approximation to the Probability
Integral . . . . . . . . . . . . . . . . 363--365
G. A. Baker Distribution of the Ratio of Sample
Range to Sample Standard Deviation for
Normal and Combinations of Normal
Distributions . . . . . . . . . . . . . 366--369
Anonymous News and Notices . . . . . . . . . . . . 370--376
Frederick Mosteller On Some Useful ``Inefficient''
Statistics . . . . . . . . . . . . . . . 377--408
T. W. Anderson The Non-Central Wishart Distribution and
Certain Problems of Multivariate
Statistics . . . . . . . . . . . . . . . 409--431
Alexander M. Mood On Hotelling's Weighing Problem . . . . 432--446
Kai-Lai Chung The Approximate Distribution of
Student's Statistic . . . . . . . . . . 447--465
Abraham Wald Some Improvements in Setting Limits for
the Expected Number of Observations
Required by a Sequential Probability
Ratio Test . . . . . . . . . . . . . . . 466--474
Paul G. Hoel The Efficiency of the Mean Moving Range 475--482
J. Wolfowitz Confidence Limits for the Fraction of a
Normal Population which Lies Between Two
Given Limits . . . . . . . . . . . . . . 483--488
J. Wolfowitz On Sequential Binomial Estimation . . . 489--493
Abraham Wald Differentiation Under the Expectation
Sign in the Fundamental Identity of
Sequential Analysis . . . . . . . . . . 493--497
Charles Stein A Note on Cumulative Sums . . . . . . . 498--499
Anonymous Abstracts of Papers . . . . . . . . . . 500--504
Anonymous News and Notices . . . . . . . . . . . . 505--513
P. S. Dwyer Report on the Ithaca Meeting of the
\insttitleInstitute . . . . . . . . . . 514--515
P. S. Dwyer Report of the Princeton Meeting of the
\insttitleInstitute . . . . . . . . . . 516--517
Anonymous Members of the \insttitleInstitute of
Mathematical Statistics . . . . . . . . 518--556
M. S. Bartlett The General Canonical Correlation
Distribution . . . . . . . . . . . . . . 1--17
Elliott W. Montroll On the Theory of Markoff Chains . . . . 18--36
L. A. Santaló On the First Two Moments of the Measure
of a Random Set . . . . . . . . . . . . 37--49
H. B. Mann and
D. R. Whitney On a Test of Whether one of Two Random
Variables is Stochastically Larger than
the Other . . . . . . . . . . . . . . . 50--60
W. Kozakiewicz On the Convergence of Sequences of
Moment Generating Functions . . . . . . 61--69
Z. W. Birnbaum and
J. Raymond and
H. S. Zuckerman A Generalization of Tshebyshev's
Inequality to Two Dimensions . . . . . . 70--79
R. B. Leipnik Distribution of the Serial Correlation
Coefficient in a Circularly Correlated
Universe . . . . . . . . . . . . . . . . 80--87
John E. Walsh Concerning the Effect of Intraclass
Correlation on Certain Significance
Tests . . . . . . . . . . . . . . . . . 88--96
E. L. Lehmann On Families of Admissible Tests . . . . 97--104
David Blackwell Conditional Expectation and Unbiased
Sequential Estimation . . . . . . . . . 105--110
E. L. Welker The Distribution of the Mean . . . . . . 111--117
B. L. Welch On the Studentization of Several
Variances . . . . . . . . . . . . . . . 118--122
Félix Cernuschi and
Louis Castagnetto Probability Schemes with Contagion in
Space and Time . . . . . . . . . . . . . 122--127
Edmund Pinney Fitting Curves with Zero or Infinite End
Points . . . . . . . . . . . . . . . . . 127--131
J. Wolfowitz Consistency of Sequential Binomial
Estimates . . . . . . . . . . . . . . . 131--135
Will Feller Review: Harald Cramér,
\booktitleMathematical Methods of
Statistics . . . . . . . . . . . . . . . 136--139
M. S. Bartlett Review: \booktitleThe Advanced Theory of
Statistics. Vol. I; Maurice G. Kendall,
\booktitleThe Advanced Theory of
Statistics. Vol II . . . . . . . . . . . 139--142
John W. Tukey Review: Statistical Research Group
[Columbia University, for the Office of
Scientific Research and Development],
\booktitleSequential Analysis of
Statistical Data: Applications . . . . . 142--144
Anonymous News and Notices . . . . . . . . . . . . 145--148
P. S. Dwyer Report on the Boston Meeting of the
\insttitleInstitute . . . . . . . . . . 149--149
W. G. Cochran Annual Report of the President of the
\insttitleInstitute for 1946 . . . . . . 150--155
Paul S. Dwyer Report of the Secretary-Treasurer of the
\insttitleInstitute for 1946 . . . . . . 156--158
S. S. Wilks Annual Report of the Editor for 1946 . . 159--159
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 160--161
Anonymous By-Laws . . . . . . . . . . . . . . . . 162--164
Harald Cramér Problems in Probability Theory . . . . . 165--193
Anthony P. Morse and
Frank E. Grubbs The Estimation of Dispersion from
Differences . . . . . . . . . . . . . . 194--214
J. Wolfowitz The Efficiency of Sequential Estimates
and Wald's Equation for Sequential
Processes . . . . . . . . . . . . . . . 215--230
John H. Smith Estimation of Linear Functions of Cell
Proportions . . . . . . . . . . . . . . 231--254
Sten Malmquist A Statistical Problem Connected with the
Counting of Radioactive Particles . . . 255--264
Leo A. Aroian The Probability Function of the Product
of Two Normally Distributed Variables 265--271
A. Zygmund A Remark on Characteristic Functions . . 272--276
D. Blackwell and
M. A. Girshick A Lower Bound for the Variance of Some
Unbiased Sequential Estimates . . . . . 277--280
John E. Walsh An Extension to Two Populations of an
Analogue of Student's $t$-Test Using the
Sample Range . . . . . . . . . . . . . . 280--285
Albert H. Bowker On the Norm of a Matrix . . . . . . . . 285--288
M. Fréchet Definition of the Probable Deviation . . 288--290
M. Fréchet The General Relation Between the Mean
and the Mode for a Discontinuous Variate 290--293
T. E. Harris Note on Differentiation Under the
Expectation Sign in the Fundamental
Identity of Sequential Analysis . . . . 294--295
L. J. Savage A Uniqueness Theorem for Unbiased
Sequential Binomial Estimation . . . . . 295--297
H. E. Robbins Acknowledgment of Priority: ``On the
Measure of a Random Set, [Parts I and
II]'' . . . . . . . . . . . . . . . . . 297--297
Anonymous Abstracts of Papers . . . . . . . . . . 298--300
Anonymous News and Notices . . . . . . . . . . . . 301--305
P. S. Dwyer Report on the Atlantic City Meeting of
the \insttitleInstitute . . . . . . . . 306--308
R. von Mises On the Asymptotic Distribution of
Differentiable Statistical Functions . . 309--348
Philip J. McCarthy Approximate Solutions for Means and
Variances in a Certain Class of Box
Problems . . . . . . . . . . . . . . . . 349--383
E. J. Gumbel The Distribution of the Range . . . . . 384--412
Cecil Hastings, Jr. and
Frederick Mosteller and
John W. Tukey and
Charles P. Winsor Low moments for small samples: a
comparative study of order statistics 413--426
Charles Stein and
Abraham Wald Sequential Confidence Intervals for the
Mean of a Normal Distribution with Known
Variance . . . . . . . . . . . . . . . . 427--433
Henry Scheffé A Useful Convergence Theorem for
Probability Distributions . . . . . . . 434--438
M. Kac and
A. J. F. Siegert An Explicit Representation of a
Stationary Gaussian Process . . . . . . 438--442
E. N. Oberg Approximate Formulas for the Radii of
Circles which Include a Specified
Fraction of a Normal Bivariate
Distribution . . . . . . . . . . . . . . 442--447
Edward Paulson A Note on the Efficiency of the Wald
Sequential Test . . . . . . . . . . . . 447--450
C. Truesdell A note on the Poisson--Charlier
functions . . . . . . . . . . . . . . . 450--454
Anonymous Abstracts of Papers . . . . . . . . . . 455--462
Anonymous News and Notices . . . . . . . . . . . . 463--464
Anonymous Correction: Members of the
\insttitleInstitute of Mathematical
Statistics . . . . . . . . . . . . . . . 465--465
E. L. Lehmann On Optimum Tests of Composite Hypotheses
with One Constraint . . . . . . . . . . 473--494
Paul S. Olmstead and
John W. Tukey A corner test for association . . . . . 495--513
George W. Brown Discriminant Functions . . . . . . . . . 514--528
John W. Tukey Non-parametric estimation. II.
Statistically equivalent blocks and
tolerance regions--the continuous case 529--539
Bradford F. Kimball Some Basic Theorems for Developing Tests
of Fit for The Case of the
Non-Parametric Probability Distribution
Function, I . . . . . . . . . . . . . . 540--548
Abraham Wald An Essentially Complete Class of
Admissible Decision Functions . . . . . 549--555
Paul G. Hoel Discriminating Between Binomial
Distributions . . . . . . . . . . . . . 556--564
Allen T. Craig Bilinear Forms in Normally Correlated
Variables . . . . . . . . . . . . . . . 565--573
S. Kullback On the Charlier Type B series . . . . . 574--581
George W. Brown On Small-Sample Estimation . . . . . . . 582--585
Abraham Wald A Note on Regression Analysis . . . . . 586--589
Aurel Wintner On the Shape of the Angular Case of
Cauchy's Distribution Curves . . . . . . 589--593
G. E. Albert A Note on the Fundamental Identity of
Sequential Analysis . . . . . . . . . . 593--596
D. S. Villars A Significance Test and Estimation in
the Case of Exponential Regression . . . 596--600
John E. Walsh On the Power Efficiency of a $t$-Test
Formed by Pairing Sample Values . . . . 601--604
Maurice H. Belz Note on the Liapounoff Inequality for
Absolute Moments . . . . . . . . . . . . 604--605
T. N. E. Greville Remark on the Note ``A Generalization of
Waring's Formula'' . . . . . . . . . . . 605--606
Anonymous Abstracts of Papers . . . . . . . . . . 607--611
Anonymous News and Notices . . . . . . . . . . . . 612--615
C. C. Craig Report on the New Haven Meeting of the
\insttitleInstitute . . . . . . . . . . 616--618
David G. Kendall On the Generalized ``Birth-and-Death''
Process . . . . . . . . . . . . . . . . 1--15
Paul I. Richards Probability of Coincidence for Two
Periodically Recurring Events . . . . . 16--29
John W. Tukey Nonparametric estimation. III.
Statistically equivalent blocks and
multivariate tolerance regions--the
discontinuous case . . . . . . . . . . . 30--39
Abraham Wald Asymptotic Properties of the Maximum
Likelihood Estimate of an Unknown
Parameter of a Discrete Stochastic
Process . . . . . . . . . . . . . . . . 40--46
D. N. Nanda Distribution of a Root of a
Determinantal Equation . . . . . . . . . 47--57
Frederick Mosteller A $k$-sample slippage test for an
extreme population . . . . . . . . . . . 58--65
Paul G. Hoel On the Uniqueness of Similar Regions . . 66--71
Herbert Robbins Convergence of Distributions . . . . . . 72--76
Z. W. Birnbaum On Random Variables with Comparable
Peakedness . . . . . . . . . . . . . . . 76--81
H. Burke Horton A method for obtaining random numbers 81--85
W. M. Kincaid Note on the Error in Interpolation of a
Function of Two Independent Variables 85--88
Kai-Lai Chung On a Lemma by Kolmogoroff . . . . . . . 88--91
John W. Tukey Approximate weights . . . . . . . . . . 91--92
John E. Walsh On the Use of the Non-Central
$t$-Distribution for Comparing
Percentage Points of Normal Populations 93--94
Anonymous The Teaching of Statistics . . . . . . . 95--115
Anonymous Abstracts of Papers . . . . . . . . . . 116--121
M. A. Girshick Review: Abraham Wald,
\booktitleSequential Analysis . . . . . 122--123
Frederick Mosteller Review: George W. Snedecor,
\booktitleStatistical Methods . . . . . 124--126
Anonymous News and Notices . . . . . . . . . . . . 127--131
Anonymous Report on the Berkeley Meeting of the
\insttitleInstitute . . . . . . . . . . 132--133
Paul S. Dwyer Report on the New York Meeting of the
\insttitleInstitute . . . . . . . . . . 133--136
Anonymous Report on the Chicago Meeting of the
\insttitleInstitute . . . . . . . . . . 136--136
Will Feller Report of the President of the
\insttitleInstitute for 1947 . . . . . . 137--140
Paul S. Dwyer Report of the Secretary-Treasurer of the
\insttitleInstitute for 1947 . . . . . . 141--143
S. S. Wilks Report of the Editor for 1947 . . . . . 144--144
Anonymous Constitution and By-Laws of the
\insttitleInstitute of Mathematical
Statistics . . . . . . . . . . . . . . . 145--146
Anonymous By-Laws . . . . . . . . . . . . . . . . 147--149
W. G. Cochran and
C. I. Bliss Discriminant Functions with Covariance 151--176
W. Feller On the Kolmogorov--Smirnov limit
theorems for empirical distributions . . 177--189
Alfred J. Lotka Application of Recurrent Series in
Renewal Theory . . . . . . . . . . . . . 190--206
W. M. Kincaid Solution of Equations by Interpolation 207--219
Abraham Wald Estimation of a Parameter When the
Number of Unknown Parameters Increases
Indefinitely with the Number of
Observations . . . . . . . . . . . . . . 220--227
John Gurland Inversion Formulae for the Distribution
of Ratios . . . . . . . . . . . . . . . 228--237
O. Kempthorne The Factorial Approach to the Weighing
Problem . . . . . . . . . . . . . . . . 238--245
Jack Silber Multiple Sampling for Variables . . . . 246--256
M. Kac On the Characteristic Functions of the
Distributions of Estimates of Various
Deviations in Samples from a Normal
Population . . . . . . . . . . . . . . . 257--261
G. Rasch A Functional Equation for Wishart's
Distribution . . . . . . . . . . . . . . 262--266
Herbert Robbins The Distribution of a Definite Quadratic
Form . . . . . . . . . . . . . . . . . . 266--270
Howard L. Jones Exact Lower Moments of Order Statistics
in Small Samples from a Normal
Distribution . . . . . . . . . . . . . . 270--273
L. C. Hsu Note on an Asymptotic Expansion of the
$n$ th Difference of Zero . . . . . . . 273--277
Louis Guttman An Inequality for Kurtosis . . . . . . . 277--278
N. Smirnov Table for Estimating the Goodness of Fit
of Empirical Distributions . . . . . . . 279--281
A. M. Mood Review: Truman Lee Kelley,
\booktitleFundamentals of Statistics . . 282--284
Anonymous News and Notices . . . . . . . . . . . . 285--289
S. B. Littauer Report on the New York Meeting of the
\insttitleInstitute . . . . . . . . . . 290--291
Wassily Hoeffding A Class of Statistics with
Asymptotically Normal Distribution . . . 293--325
A. Wald and
J. Wolfowitz Optimum Character of the Sequential
Probability Ratio Test . . . . . . . . . 326--339
D. N. Nanda Limiting Distribution of a Root of a
Determinantal Equation . . . . . . . . . 340--350
William G. Madow On a Source of Downward Bias in the
Analysis of Variance and Covariance . . 351--359
Herbert Robbins Mixture of Distributions . . . . . . . . 360--369
Benjamin Epstein Some Applications of the Mellin
Transform in Statistics . . . . . . . . 370--379
G. W. Housner and
J. F. Brennan The Estimation of Linear Trends . . . . 380--388
Philip Hartman and
Aurel Wintner On the Effect of Decimal Corrections on
Errors of Observation . . . . . . . . . 389--393
K. S. Banerjee Weighing Designs and Balanced Incomplete
Blocks . . . . . . . . . . . . . . . . . 394--399
Leon H. Herbach Bounds for Some Functions Used in
Sequentially Testing the Mean of a
Poisson Distribution . . . . . . . . . . 400--405
Herbert Robbins The Distribution of Student's $t$ When
the Population Means are Unequal . . . . 406--410
Louis Guttman A Distribution-Free Confidence Interval
for the Mean . . . . . . . . . . . . . . 410--413
E. Cansado Maceda On the Compound and Generalized Poisson
Distributions . . . . . . . . . . . . . 414--416
Gottfried E. Noether On Confidence Limits for Quantiles . . . 416--419
Eli S. Marks A Lower Bound for the Expected Travel
Among $m$ Random Points . . . . . . . . 419--422
H. M. Bacon A Matrix Arising in Correlation Theory 422--424
W. J. Dixon Table of Normal Probabilities for
Intervals of Various Lengths and
Locations . . . . . . . . . . . . . . . 424--426
G. E. Albert Correction to ``A Note on the
Fundamental Identity of Sequential
Analysis'' . . . . . . . . . . . . . . . 426--427
S. Kullback Correction to ``On the Charlier Type $B$
Series'' . . . . . . . . . . . . . . . . 427--427
Anonymous Abstracts of Papers . . . . . . . . . . 428--435
Leonid Hurwicz Review: John von Neumann, Oskar
Morgenstern, \booktitleThe Theory of
Games and Economic Behavior . . . . . . 436--437
Anonymous News and Notices . . . . . . . . . . . . 438--443
Anonymous Report on the Berkeley Meeting of the
\insttitleInstitute . . . . . . . . . . 444--446
David F. Votaw, Jr. Testing Compound Symmetry in a Normal
Multivariate Distribution . . . . . . . 447--473
T. E. Harris Branching Processes . . . . . . . . . . 474--494
E. L. Lehmann and
C. Stein Most Powerful Tests of Composite
Hypotheses. I. Normal Distributions . . 495--516
Paul S. Dwyer and
M. S. Macphail Symbolic Matrix Derivatives . . . . . . 517--534
William G. Madow On the Limiting Distributions of
Estimates Based on Samples from Finite
Universes . . . . . . . . . . . . . . . 535--545
Wassily Hoeffding A Non-Parametric Test of Independence 546--557
Herman O. A. Wold On Prediction in Stationary Time Series 558--567
Burton H. Camp Generalization to $N$ Dimensions of
Inequalities of the Tchebycheff Type . . 568--574
R. L. Plackett Boundaries of Minimum Size in Binomial
Sampling . . . . . . . . . . . . . . . . 575--580
R. B. Murphy Non-Parametric Tolerance Limits . . . . 581--589
Leo A. Aroian The Fourth Degree Exponential
Distribution Function . . . . . . . . . 589--592
G. F. Cramer An Approximation to the Binomial
Summation . . . . . . . . . . . . . . . 592--594
Anonymous Abstracts of Papers . . . . . . . . . . 595--602
Anonymous News and Notices . . . . . . . . . . . . 603--606
P. S. Dwyer Adoption of the New Constitution . . . . 607--607
K. J. Arnold Report on the Madison Meeting of the
\insttitleInstitute . . . . . . . . . . 608--610
G. R. Seth On the Variance of Estimates . . . . . . 1--27
E. L. Lehmann and
C. Stein On the Theory of Some Non-Parametric
Hypotheses . . . . . . . . . . . . . . . 28--45
T. W. Anderson and
Herman Rubin Estimation of the Parameters of a Single
Equation in a Complete System of
Stochastic Equations . . . . . . . . . . 46--63
John E. Walsh Some Significance Tests for the Median
which are Valid Under Very General
Conditions . . . . . . . . . . . . . . . 64--81
H. Burke Horton and
R. Tynes Smith III A direct method for producing random
digits in any number system . . . . . . 82--90
Howard Levene On a Matching Problem Arising in
Genetics . . . . . . . . . . . . . . . . 91--94
Edward Paulson A Multiple Decision Procedure for
Certain Problems in the Analysis of
Variance . . . . . . . . . . . . . . . . 95--98
Benjamin Epstein A Modified Extreme Value Problem . . . . 99--103
Agnes Berger and
Abraham Wald On Distinct Hypotheses . . . . . . . . . 104--109
Bradford F. Kimball An Approximation to the Sampling
Variance of an Estimated Maximum Value
of Given Frequency Based on Fit of
Doubly Exponential Distribution of
Maximum Values . . . . . . . . . . . . . 110--113
A. M. Mood Tests of Independence in Contingency
Tables as Unconditional Tests . . . . . 114--116
Edwin G. Olds The $ 5 \% $ Significance Levels for
Sums of Squares of Rank Differences and
a Correction . . . . . . . . . . . . . . 117--118
Bertil Matérn Independence of Non-Negative Quadratic
Forms in Normally Correlated Variables 119--120
Hermann von Schelling A Formula for the Partial Sums of Some
Hypergeometric Series . . . . . . . . . 120--122
G. A. Baker The Variance of the Proportions of
Samples Falling within a Fixed Interval
for a Normal Population . . . . . . . . 123--124
Joseph Lev The Point Biserial Coefficient of
Correlation . . . . . . . . . . . . . . 125--126
H. J. Godwin A Note on Kac's Derivation of the
Distribution of the Mean Deviation . . . 127--127
A. M. Peiser Correction to ``Asymptotic Formulas for
Significance Levels of Certain
Distributions'' . . . . . . . . . . . . 128--129
Anonymous Abstracts of Papers . . . . . . . . . . 130--143
Anonymous News and Notices . . . . . . . . . . . . 144--150
Paul S. Dwyer Election of Officers and Council and
Revision of By-Laws . . . . . . . . . . 150--151
Z. W. Birnbaum Report on the Seattle Meeting of the
\insttitleInstitute . . . . . . . . . . 151--152
W. R. Van Voorhis Report on the Cleveland Meeting of the
\insttitleInstitute . . . . . . . . . . 152--156
Abraham Wald Report of the President of the
\insttitleInstitute for 1948 . . . . . . 156--160
Paul S. Dwyer Report of the Secretary-Treasurer of the
\insttitleInstitute for 1948 . . . . . . 160--163
S. S. Wilks Report of the Editor for 1948 . . . . . 163--164
Abraham Wald Statistical Decision Functions . . . . . 165--205
Richard Otter The Multiplicative Process . . . . . . . 206--224
Paul R. Halmos and
L. J. Savage Application of the Radon--Nikodym
Theorem to the Theory of Sufficient
Statistics . . . . . . . . . . . . . . . 225--241
Frank E. Grubbs On Designing Single Sampling Inspection
Plans . . . . . . . . . . . . . . . . . 242--256
John E. Walsh On the Range-Midrange Test and Some
Tests with Bounded Significance Levels 257--267
Herman Chernoff Asymptotic Studentization in Testing of
Hypotheses . . . . . . . . . . . . . . . 268--278
H. J. Godwin Some Low Moments of Order Statistics . . 279--285
P. Erd\Hos On a Theorem of Hsu and Robbins . . . . 286--291
Kôsaku Yosida Brownian Motion on the Surface of the
$3$-Sphere . . . . . . . . . . . . . . . 292--296
Aryeh Dvoretzky On the Strong Stability of a Sequence of
Events . . . . . . . . . . . . . . . . . 296--299
K. S. Banerjee A Note on Weighing Design . . . . . . . 300--304
John M. Howell Control Chart for Largest and Smallest
Values . . . . . . . . . . . . . . . . . 305--309
John W. Tukey Sufficiency, truncation and selection 309--311
Max A. Woodbury On a Probability Distribution . . . . . 311--313
Z. W. Birnbaum and
H. S. Zuckerman A Graphical Determination of Sample Size
for Wilks' Tolerance Limits . . . . . . 313--316
Anonymous Abstracts of Papers . . . . . . . . . . 317--320
Anonymous News and Notices . . . . . . . . . . . . 321--324
Anonymous Correction: News and Notices . . . . . . 324--324
S. B. Littauer Report on the New York Meeting of the
\insttitleInstitute . . . . . . . . . . 325--326
Anonymous Constitution of the \insttitleInstitute
of Mathematical Statistics . . . . . . . 327--330
Anonymous By-Laws of the \insttitleInstitute of
Mathematical Statistics . . . . . . . . 330--331
William G. Madow On the Theory of Systematic Sampling, II 333--354
M. H. Quenouille Problems in Plane Sampling . . . . . . . 355--375
R. P. Boas, Jr. Representation of Probability
Distributions by Charlier Series . . . . 376--392
J. L. Doob Heuristic Approach to the
Kolmogorov--Smirnov Theorems . . . . . . 393--403
Paul S. Dwyer Pearsonian Correlation Coefficients
Associated with Least Squares Theory . . 404--416
John Riordan Inversion Formulas in Normal Variable
Mapping . . . . . . . . . . . . . . . . 417--425
Morris H. Hansen and
William N. Hurwitz On the Determination of Optimum
Probabilities in Sampling . . . . . . . 426--432
P. G. Hoel and
R. P. Peterson A Solution to the Problem of Optimum
Classification . . . . . . . . . . . . . 433--438
Gunnar Blom A Generalization of Wald's Fundamental
Identity . . . . . . . . . . . . . . . . 439--444
Brockway McMillan Spread of Minima of Large Samples . . . 444--447
Edgar Reich On the Convergence of the Classical
Iterative Method of Solving Linear
Simultaneous Equations . . . . . . . . . 448--451
T. A. Bancroft Some Recurrence Formulae in the
Incomplete Beta Function Ratio . . . . . 451--455
Gottfried E. Noether On a Theorem by Wald and Wolfowitz . . . 455--458
Z. W. Birnbaum and
F. C. Andrews On Sums of Symmetrically Truncated
Normal Random Variables . . . . . . . . 458--461
Mary Agnes Hatke A Certain Cumulative Probability
Function . . . . . . . . . . . . . . . . 461--463
Anonymous Abstracts of Papers . . . . . . . . . . 464--469
Anonymous News and Notices . . . . . . . . . . . . 470--474
J. L. Hodges Report on the Berkeley Meeting of the
\insttitleInstitute . . . . . . . . . . 475--476
E. W. Barankin Locally Best Unbiased Estimates . . . . 477--501
Milton Sobel and
Abraham Wald A Sequential Decision Procedure for
Choosing One of Three Hypotheses
Concerning the Unknown Mean of a Normal
Distribution . . . . . . . . . . . . . . 502--522
John W. Tukey Moments of random group size
distributions . . . . . . . . . . . . . 523--539
J. Wolfowitz The Power of the Classical Tests
Associated with the Normal Distribution 540--551
Herbert Robbins and
E. J. G. Pitman Application of the Method of Mixtures to
Quadratic Forms in Normal Variates . . . 552--560
M. H. Quenouille The Joint Distribution of Serial
Correlation Coefficients . . . . . . . . 561--571
Leo A. Goodman On the Estimation of the Number of
Classes in a Population . . . . . . . . 572--579
John E. Walsh Concerning compound randomization in the
binary system . . . . . . . . . . . . . 580--589
Benjamin Epstein The Distribution of Extreme Values in
Samples whose Members are Subject to a
Markoff Chain Condition . . . . . . . . 590--594
Abraham Wald Note on the Consistency of the Maximum
Likelihood Estimate . . . . . . . . . . 595--601
J. Wolfowitz On Wald's Proof of the Consistency of
the Maximum Likelihood Estimate . . . . 601--602
Herbert T. David A Note on Random Walk . . . . . . . . . 603--608
Robert E. Greenwood Numerical Integration for Linear Sums of
Exponential Functions . . . . . . . . . 608--611
Arthur Sard Smoothest Approximation Formulas . . . . 612--615
John E. Walsh On the Power Function of the ``Best''
$t$-Test Solution of the Behrens--Fisher
Problem . . . . . . . . . . . . . . . . 616--618
R. C. Bose A Note on Fisher's Inequality for
Balanced Incomplete Block Designs . . . 619--620
Anonymous Abstracts of Papers . . . . . . . . . . 620--624
Anonymous News and Notices . . . . . . . . . . . . 624--626
Harris T. Guard Report on the Boulder Meeting of the
\insttitleInstitute . . . . . . . . . . 626--628
E. L. Lehmann Some Principles of the Theory of Testing
Hypotheses . . . . . . . . . . . . . . . 1--26
Frank E. Grubbs Sample Criteria for Testing Outlying
Observations . . . . . . . . . . . . . . 27--58
R. L. Anderson and
T. W. Anderson Distribution of the Circular Serial
Correlation Coefficient for Residuals
from a Fitted Fourier Series . . . . . . 59--81
A. Wald and
J. Wolfowitz Bayes Solutions of Sequential Decision
Problems . . . . . . . . . . . . . . . . 82--99
K. C. S. Pillai On the Distributions of Midrange and
Semi-Range in Samples from a Normal
Population . . . . . . . . . . . . . . . 100--105
S. S. Shrikhande The Impossibility of Certain Symmetrical
Balanced Incomplete Block Designs . . . 106--111
Richard F. Link The Sampling Distribution of the Ratio
of Two Ranges from Independent Samples 112--116
Frank J. Massey, Jr. A Note on the Estimation of a
Distribution Function by Confidence
Limits . . . . . . . . . . . . . . . . . 116--119
Frederick Mosteller and
John W. Tukey Significance levels for a $k$-sample
slippage test . . . . . . . . . . . . . 120--123
Jack Sherman and
Winifred J. Morrison Adjustment of an Inverse Matrix
Corresponding to a Change in One Element
of a Given Matrix . . . . . . . . . . . 124--127
Albert Noack A Class of Random Variables with
Discrete Distributions . . . . . . . . . 127--132
E. J. Gumbel and
R. D. Keeney The Geometric Range for Distributions of
Cauchy's Type . . . . . . . . . . . . . 133--137
T. N. E. Greville Remark on W. M. Kincaid's ``Note on the
Error in Interpolation of a Function of
Two Independent Variables'' . . . . . . 137--138
P. Erd\Hos Remark on my Paper ``On a Theorem of Hsu
and Robbins'' . . . . . . . . . . . . . 138--138
Anonymous Abstracts of Papers . . . . . . . . . . 139--147
Anonymous News and Notices . . . . . . . . . . . . 147--151
Anonymous Report of the New York Meeting of the
\insttitleInstitutes . . . . . . . . . . 151--155
Carl H. Fischer Minutes of the Annual Membership
Meeting, New York, December 28, 1949 . . 155--155
J. Neyman Report of the President of the
\insttitleInstitute for 1949 . . . . . . 155--160
Carl H. Fischer Report of the Secretary-Treasurer of the
\insttitleInstitute for 1949 . . . . . . 160--163
S. S. Wilks Report of the Editor of the
\booktitleAnnals for 1949 . . . . . . . 163--164
T. C. Koopmans and
O. Reiersòl The Identification of Structural
Characteristics . . . . . . . . . . . . 165--181
J. L. Hodges, Jr. and
E. L. Lehmann Some Problems in Minimax Point
Estimation . . . . . . . . . . . . . . . 182--197
P. V. Krishna Iyer The Theory of Probability Distributions
of Points on a Lattice . . . . . . . . . 198--217
J. Wolfowitz Minimax Estimates of the Mean of a
Normal Distribution with Known Variance 218--230
Gottfried Emanuel Noether Asymptotic Properties of the
Wald--Wolfowitz Test of Randomness . . . 231--246
E. J. Gumbel and
H. von Schelling The Distribution of the Number of
Exceedances . . . . . . . . . . . . . . 247--262
Bradford F. Kimball On the Asymptotic Distribution of the
Sum of Powers of Unit Frequency
Differences . . . . . . . . . . . . . . 263--271
Z. W. Birnbaum Effect of Linear Truncation on a
Multinormal Population . . . . . . . . . 272--279
E. W. Barankin Extension of a Theorem of Blackwell . . 280--284
Elizabeth L. Scott Note on Consistent Estimates of the
Linear Structural Relation Between Two
Variables . . . . . . . . . . . . . . . 284--288
Maria Castellani On Multinomial Distributions with
Limited Freedom: A Stochastic Genesis of
Pareto's and Pearson's Curves . . . . . 289--293
R. D. Narain On the Completely Unbiassed Character of
Tests of Independence in Multivariate
Normal Systems . . . . . . . . . . . . . 293--298
G. R. Seth On the Distribution of the Two Closest
Among a Set of Three Observations . . . 298--301
W. Feller Errata: ``On the Kolmogorov--Smirnov
Limit Theorems for Empirical
Distributions'' . . . . . . . . . . . . 301--302
Anonymous Abstracts of Papers . . . . . . . . . . 302--315
Anonymous News and Notices . . . . . . . . . . . . 315--317
Herbert Robbins Report of the Chapel Hill Meeting of the
\insttitleInstitute . . . . . . . . . . 317--319
M. Lo\`eve Fundamental Limit Theorems of
Probability Theory . . . . . . . . . . . 321--338
B. Sherman A Random Variable Related to the Spacing
of Sample Values . . . . . . . . . . . . 339--361
Raghu Raj Bahadur On a Problem in the Theory of $k$
Populations . . . . . . . . . . . . . . 362--375
E. L. Lehmann and
Charles Stein Completeness in the Sequential Case . . 376--385
John E. Walsh Some Estimates and Tests Based on the
$r$ Smallest Values in a Sample . . . . 386--397
Leo Katz On the relative efficiencies of BAN
estimates . . . . . . . . . . . . . . . 398--405
Charles Stein Unbiased Estimates with Minimum Variance 406--415
Robert E. Greenwood and
Mark O. Glasgow Distribution of Maximum and Minimum
Frequencies in a Sample Drawn from a
Multinomial Distribution . . . . . . . . 416--424
R. C. Davis Derivation of a Broad Class of
Consistent Estimates . . . . . . . . . . 425--431
D. N. Nanda Distribution of the Sum of Roots of a
Determinantal Equation under a Certain
Condition . . . . . . . . . . . . . . . 432--439
F. J. Massey, Jr. A Note on the Power of a Non-Parametric
Test . . . . . . . . . . . . . . . . . . 440--443
Z. W. Birnbaum and
D. G. Chapman On Optimum Selections from Multinormal
Populations . . . . . . . . . . . . . . 443--447
J. M. Hammersley The Distribution of Distance in a
Hypersphere . . . . . . . . . . . . . . 447--452
R. K. Zeigler A Note on the Asymptotic Simultaneous
Distribution of the Sample Median and
the Mean Deviation from the Sample
Median . . . . . . . . . . . . . . . . . 452--455
Osmer Carpenter Note on the Extension of Craig's Theorem
to Non-Central Variates . . . . . . . . 455--457
Hermann von Schelling A Second Formula for the Partial Sum of
Hypergeometric Series Having Unity as
the Fourth Argument . . . . . . . . . . 458--460
Anonymous Abstracts of Papers . . . . . . . . . . 461--462
Anonymous News and Notices . . . . . . . . . . . . 462--467
J. K. Arnold Report of the Chicago Meeting of the
\insttitleInstitute . . . . . . . . . . 467--468
Raghu Raj Bahadur and
Herbert Robbins The Problem of the Greater Mean . . . . 469--487; 22, 310 (1951)
W. J. Dixon Analysis of Extreme Values . . . . . . . 488--506
Uttam Chand Distributions Related to Comparison of
Two Means and Two Regression
Coefficients . . . . . . . . . . . . . . 507--522
E. J. Gumbel and
R. D. Keeney The Extremal Quotient . . . . . . . . . 523--538
A. E. Paull On a Preliminary Test for Pooling Mean
Squares in the Analysis of Variance . . 539--556
A. C. Cohen, Jr. Estimating the Mean and Variance of
Normal Populations from Singly Truncated
and Doubly Truncated Samples . . . . . . 557--569
T. W. Anderson and
Herman Rubin The Asymptotic Properties of Estimates
of the Parameters of a Single Equation
in a Complete System of Stochastic
Equations . . . . . . . . . . . . . . . 570--582
John E. Walsh Some Nonparametric Tests of Whether the
Largest Observations of a Set are too
Large or too Small . . . . . . . . . . . 583--592
Nils Blomqvist On a Measure of Dependence Between two
Random Variables . . . . . . . . . . . . 593--600
Douglas G. Chapman Some two Sample Tests . . . . . . . . . 601--606
Murray F. Freeman and
John W. Tukey Transformations related to the angular
and the square root . . . . . . . . . . 607--611
T. N. E. Greville Remark on the Article ``On a Class of
Distributions that Approach the Normal
Distribution Function'' by George B.
Dantzig . . . . . . . . . . . . . . . . 611--613
Yukiyosi Kawada Independence of Quadratic forms in
Normally Correlated Variables . . . . . 614--615
John M. Howell Errata to ``Control Chart for Largest
and Smallest Values'' . . . . . . . . . 615--616
Anonymous Abstracts of Papers . . . . . . . . . . 616--620
Anonymous News and Notices . . . . . . . . . . . . 620--622
J. L. Hodges Report of the Berkeley Meeting of the
\insttitleInstitute . . . . . . . . . . 622--624
A. Dvoretzky and
A. Wald and
J. Wolfowitz Elimination of Randomization in Certain
Statistical Decision Procedures and
Zero-Sum Two-Person Games . . . . . . . 1--21
Colin R. Blyth On Minimax Statistical Decision
Procedures and their Admissibility . . . 22--42
R. C. Davis On Minimum Variance in Nonregular
Estimation . . . . . . . . . . . . . . . 43--57
Harman Leon Harter On the Distribution of Wald's
Classification Statistic . . . . . . . . 58--67
W. J. Dixon Ratios Involving Extreme Values . . . . 68--78
S. Kullback and
R. A. Leibler On Information and Sufficiency . . . . . 79--86
George B. Dantzig and
Abraham Wald On the Fundamental Lemma of Neyman and
Pearson . . . . . . . . . . . . . . . . 87--93
N. L. Johnson Estimators of the Probability of the
Zero Class in Poisson and Certain
Related Populations . . . . . . . . . . 94--101
Walter T. Federer Testing Proportionality of Covariance
Matrices . . . . . . . . . . . . . . . . 102--106
M. S. Bartlett An Inverse Matrix Adjustment Arising in
Discriminant Analysis . . . . . . . . . 107--111
David Blackwell On a Theorem of Lyapunov . . . . . . . . 112--114
Masami Ogawara A Note on the Test of Serial Correlation
Coefficients . . . . . . . . . . . . . . 115--118
Agnes Berger Remark on Separable Spaces of
Probability Measures . . . . . . . . . . 119--120
E. J. Gumbel and
J. Arthur Greenwood Table of the Asymptotic Distribution of
the Second Extreme . . . . . . . . . . . 121--124
Frank J. Massey, Jr. The Distribution of the Maximum
Deviation Between two Sample Cumulative
Step Functions . . . . . . . . . . . . . 125--128
R. M. Redheffer A Note on the Surprise Index . . . . . . 128--130
Burton H. Camp Approximation to the Point Binomial . . 130--131
C. Chandra Sekar A Theorem on the Correlation Coefficient
for Samples of Three when the Variables
are Independent . . . . . . . . . . . . 132--133
Benjamin Epstein Correction to ``The Distribution of
Extreme Values in Samples whose Members
are Subject to a Markoff Chain
Condition'' . . . . . . . . . . . . . . 133--134
Anonymous Abstracts of Papers . . . . . . . . . . 134--144
Anonymous News and Notices . . . . . . . . . . . . 144--149
K. J. Arnold Report of the Chicago Meeting of the
\insttitleInstitute . . . . . . . . . . 149--157
K. J. Arnold Minutes of the Annual Membership
Meeting, Chicago, December 27, 1950 . . 157--158
J. L. Doob Report of the President of the
\insttitleInstitute for 1950 . . . . . . 159--160
Carl H. Fischer Report of the Secretary-Treasurer of the
\insttitleInstitute for 1950 . . . . . . 161--163
T. W. Anderson Report of the Editor of the
\booktitleAnnals for 1950 . . . . . . . 163--164
Anonymous Publications Received . . . . . . . . . 164--164
E. L. Lehmann Consistency and Unbiasedness of Certain
Nonparametric Tests . . . . . . . . . . 165--179
E. S. Keeping A Significance Test for Exponential
Regression . . . . . . . . . . . . . . . 180--198
Wolfgang Wasow On the Duration of Random Walks . . . . 199--216
Stanley L. Isaacson On the Theory of Unbiased Tests of
Simple Statistical Hypotheses Specifying
the Values of Two or More Parameters . . 217--234
S. S. Shrikhande Designs for Two-Way Elimination of
Heterogeneity . . . . . . . . . . . . . 235--247
D. A. S. Fraser Generalized Hit Probabilities with a
Gaussian Target . . . . . . . . . . . . 248--255
A. C. Cohen, Jr. Estimation of Parameters in Truncated
Pearson Frequency Distributions . . . . 256--265
A. M. Mood On the Distribution of the
Characteristic Roots of Normal
Second-Moment Matrices . . . . . . . . . 266--273
D. R. Whitney A Bivariate Extension of the $U$
Statistic . . . . . . . . . . . . . . . 274--282
S. Vajda Relations Between Variously Defined
Effects and Interactions in Analysis of
Variance . . . . . . . . . . . . . . . . 283--288
Agnes Berger On Uniformly Consistent Tests . . . . . 289--293
D. A. S. Fraser and
R. Wormleighton Nonparametric estimation. IV . . . . . . 294--298
Paul G. Hoel Conditional Expectation and the
Efficiency of Estimates . . . . . . . . 299--301
K. Nagabhushanam Linear Transformations and the
Product-Moment Matrix . . . . . . . . . 302--304
Frank J. Massey, Jr. A Note on a Two Sample Test . . . . . . 304--306
Albert Sade An Omission in Norton's List of $ 7
\times 7 $ Squares . . . . . . . . . . . 306--307
Randal H. Cole Relations Between Moments of Order
Statistics . . . . . . . . . . . . . . . 308--310
Raghu Raj Bahadur and
Herbert Robbins Correction to ``The Problem of the
Greater Mean'' . . . . . . . . . . . . . 310--310
P. V. Krishna Iyer Errata: ``The theory of probability
distributions of points on a lattice'' 310--310
Anonymous Abstracts of Papers . . . . . . . . . . 310--317
Anonymous News and Notices . . . . . . . . . . . . 317--322
Jack Moshman Report of the Oak Ridge Meeting of the
\insttitleInstitute . . . . . . . . . . 322--325
Anonymous Publications Received . . . . . . . . . 325--325
T. W. Anderson Estimating Linear Restrictions on
Regression Coefficients for Multivariate
Normal Distributions . . . . . . . . . . 327--351
J. Neyman and
Elizabeth L. Scott On Certain Methods of Estimating the
Linear Structural Relation . . . . . . . 352--361
Nils Blomqvist Some Tests Based on Dichotomization . . 362--371
D. A. S. Fraser Sequentially Determined Statistically
Equivalent Blocks . . . . . . . . . . . 372--381
F. N. David and
N. L. Johnson A Method of Investigating the Effect of
Nonnormality and Heterogeneity of
Variance on Tests of the General Linear
Hypothesis . . . . . . . . . . . . . . . 382--392
David Blackwell On the Translation Parameter Problem for
Discrete Variables . . . . . . . . . . . 393--399
Herbert Robbins and
Sutton Monro A Stochastic Approximation Method . . . 400--407
John E. Walsh Some Bounded Significance Level
Properties of the Equal-Tail Sign Test 408--417
E. J. Gumbel and
L. H. Herbach The Exact Distribution of the Extremal
Quotient . . . . . . . . . . . . . . . . 418--426
William Feller The Asymptotic Distribution of the Range
of Sums of Independent Random Variables 427--432
N. L. Johnson and
C. A. Rogers The Moment Problem for Unimodal
Distributions . . . . . . . . . . . . . 433--439
R. C. Davis Note on Uniformly Best Unbiased
Estimates . . . . . . . . . . . . . . . 440--445
G. S. Watson and
J. Durbin Exact Tests of Serial Correlation using
Noncircular Statistics . . . . . . . . . 446--451
Hermann von Schelling Distribution of the Ordinal Number of
Simultaneous Events which Last During a
Finite Time . . . . . . . . . . . . . . 452--455
Robert G. D. Steel Minimum Generalized Variance for a set
of Linear Functions . . . . . . . . . . 456--460
J. Wolfowitz On $ \varepsilon $-Complete Classes of
Decision Functions . . . . . . . . . . . 461--465
P. Frank and
J. Kiefer Almost Subminimax and Biased Minimax
Procedures . . . . . . . . . . . . . . . 465--468
K. C. S. Pillai On the Distribution of an Analogue of
Student's $t$ . . . . . . . . . . . . . 469--472
Herman Chernoff A property of some type A regions . . . 472--474
C. M. Stein A Property of Some Tests of Composite
Hypotheses . . . . . . . . . . . . . . . 475--476
Paul B. Simpson Note on the Estimation of a Bivariate
Distribution Function . . . . . . . . . 476--478
W. Kozakiewicz On the Necessary and Sufficient
Conditions for the Convergence of a
Sequence of Moment Generating Functions 478--480
H. C. Picard A Note on the Maximum Value of Kurtosis 480--482
Anonymous Abstracts of Papers . . . . . . . . . . 483--488
Anonymous News and Notices . . . . . . . . . . . . 488--492
A. M. Mood Report of the Santa Monica Meeting of
the \insttitleInstitute . . . . . . . . 492--494
Anonymous Publications Received . . . . . . . . . 495--495
Jerzy Neyman Existence of Consistent Estimates of the
Directional Parameter in a Linear
Structural Relation Between Two
Variables . . . . . . . . . . . . . . . 497--512
Uttam Chand Test Criteria for Hypotheses of Symmetry
of a Regression Matrix . . . . . . . . . 513--522
Sigeiti Moriguti Extremal Properties of Extreme Value
Distributions . . . . . . . . . . . . . 523--536
P. G. Guest The Fitting of Polynomials by the Method
of Weighted Grouping . . . . . . . . . . 537--548
A. S. Krishnamoorthy and
M. Parthasarathy A Multivariate Gamma-Type Distribution 549--557
Wassily Hoeffding A Combinatorial Central Limit Theorem 558--566
Robert V. Hogg On Ratios of Certain Algebraic Forms . . 567--572
Max Halperin Normal Regression Theory in the Presence
of Intra-Class Correlation . . . . . . . 573--580
Douglas G. Chapman and
Herbert Robbins Minimum Variance Estimation Without
Regularity Assumptions . . . . . . . . . 581--586
E. L. Lehmann A General Concept of Unbiasedness . . . 587--592
Z. W. Birnbaum and
Fred H. Tingey One-Sided Confidence Contours for
Probability Distribution Functions . . . 592--596
G. E. Albert and
Ralph B. Johnson On the Estimation of Central Intervals
which Contain Assigned Proportions of a
Normal Univariate Population . . . . . . 596--599
A. W. Kimball On Dependent Tests of Significance in
the Analysis of Variance . . . . . . . . 600--602
Gottfried E. Noether On a Connection Between Confidence and
Tolerance Intervals . . . . . . . . . . 603--604
Anonymous Abstracts of Papers . . . . . . . . . . 604--612
Anonymous News and Notices . . . . . . . . . . . . 612--617
K. J. Arnold Report of the Minneapolis Meeting of the
\insttitleInstitute . . . . . . . . . . 617--621
Anonymous Publications Received . . . . . . . . . 621--621
J. Wolfowitz Abraham Wald, 1902--1950 . . . . . . . . 1--13
Karl Menger The Formative Years of Abraham Wald and
His Work in Geometry . . . . . . . . . . 14--20
G. Tintner Abraham Wald's Contributions to
Econometrics . . . . . . . . . . . . . . 21--28
Anonymous The Publications of Abraham Wald . . . . 29--33
Howard Levene On the Power Function of Tests of
Randomness Based on Runs up and Down . . 34--56
W. S. Connor, Jr. On the Structure of Balanced Incomplete
Block Designs . . . . . . . . . . . . . 57--71
Howard L. Jones Formulas for the Group Sequential
Sampling of Attributes . . . . . . . . . 72--87
S. Kullback An Application of Information Theory to
Multivariate Analysis . . . . . . . . . 88--102
Ralph Allan Bradley Corrections for Nonnormality in the Use
of the Two-Sample $t$- and $F$-Test at
High Significance Levels . . . . . . . . 103--113
M. A. Girshick and
Herman Rubin A Bayes Approach to a Quality Control
Model . . . . . . . . . . . . . . . . . 114--125
Jack Moshman Testing a Straggler Mean in a Two-Way
Classification Using the Range . . . . . 126--132
J. Hemelrijk Note on Wilcoxon's Two-Sample Test when
Ties are Present . . . . . . . . . . . . 133--135
J. Neyman and
Elizabeth L. Scott Correction to ``On Certain Methods of
Estimating the Linear Structural
Relation'' . . . . . . . . . . . . . . . 135--135
Anonymous Abstracts of Papers . . . . . . . . . . 135--148
J. M. Cameron Results of some tests of randomness on
pseudo-random on numbers (preliminary
report) . . . . . . . . . . . . . . . . 138--138
Anonymous News and Notices . . . . . . . . . . . . 148--152
Churchill Eisenhart Report of the Washington Meeting of the
\insttitleInstitute . . . . . . . . . . 152--155
S. B. Littauer Report of the Boston Meeting of the
\insttitleInstitute . . . . . . . . . . 155--159
C. H. Fischer Minutes of the Annual Membership
Meeting, Boston, December 28, 1951 . . . 159--160
Paul S. Dwyer Report of the President of the
\insttitleInstitute for 1951 . . . . . . 160--164
Carl H. Fischer Report of the Secretary-Treasurer of the
\insttitleInstitute for 1951 . . . . . . 164--166
T. W. Anderson Report of the Editor of the
\booktitleAnnals for 1951 . . . . . . . 166--167
Anonymous Publications Received . . . . . . . . . 167--168
Wassily Hoeffding The Large-Sample Power of Tests Based on
Permutations of Observations . . . . . . 169--192
T. W. Anderson and
D. A. Darling Asymptotic theory of certain `goodness
of fit' criteria based on stochastic
processes . . . . . . . . . . . . . . . 193--212
Herman Chernoff and
Henry Scheffé A Generalization of the Neyman--Pearson
Fundamental Lemma . . . . . . . . . . . 213--225
Max Halperin Maximum Likelihood Estimation in
Truncated Samples . . . . . . . . . . . 226--238
Edward Paulson On the Comparison of Several
Experimental Categories with a Control 239--246
H. Weiler On the Most Economical Sample Size for
Controlling the Mean of a Population . . 247--254
G. Elfving Optimum Allocation in Linear Regression
Theory . . . . . . . . . . . . . . . . . 255--262
Rosedith Sitgreaves On the Distribution of two Random
Matrices used in Classification
Procedures . . . . . . . . . . . . . . . 263--270
Leo Katz The Distribution of the Number of
Isolates in a Social Group . . . . . . . 271--276
Monroe D. Donsker Justification and Extension of Doob's
Heuristic Approach to the
Kolmogorov--Smirnov Theorems . . . . . . 277--281
Edwin G. Olds A Note on the Convolution of Uniform
Distributions . . . . . . . . . . . . . 282--285
Sigeiti Moriguti A Lower Bound for a Probability Moment
of any Absolutely Continuous
Distribution with Finite Variance . . . 286--289
G. A. Baker Uniformity Field Trials when Differences
in Fertility Levels of Subplots are not
Included in Experimental Error . . . . . 289--293
K. A. Bush A Generalization of a Theorem due to
MacNeish . . . . . . . . . . . . . . . . 293--295
Lee B. Harris On a Limiting Case for the Distribution
of Exceedances, with an Application to
Life-Testing . . . . . . . . . . . . . . 295--298
Richard F. Link Correction to ``The Sampling
Distribution of the Ratio of Two Ranges
from Independent Samples'' . . . . . . . 298--299
Anonymous Abstracts of Papers . . . . . . . . . . 299--303
Anonymous News and Notices . . . . . . . . . . . . 304--312
Anonymous Publications Received . . . . . . . . . 313--313
William G. Cochran The $ \chi^2 $ test of goodness of fit 315--345
Milton E. Terry Some Rank Order Tests which are most
Powerful Against Specific Parametric
Alternatives . . . . . . . . . . . . . . 346--366
R. C. Bose and
W. S. Connor Combinatorial Properties of Group
Divisible Incomplete Block Designs . . . 367--383
Edgar P. King The Operating Characteristic of the
Control Chart for Sample Means . . . . . 384--395
J. L. Hodges, Jr. and
E. L. Lehmann The use of Previous Experience in
Reaching Statistical Decisions . . . . . 396--407
E. L. Lehmann On the Existence of Least Favorable
Distributions . . . . . . . . . . . . . 408--416
D. A. S. Fraser Sufficient Statistics and Selection
Depending on the Parameter . . . . . . . 417--425
K. A. Bush Orthogonal Arrays of Index Unity . . . . 426--434
Frank J. Massey, Jr. Distribution Table for the Deviation
Between two Sample Cumulatives . . . . . 435--441
Eugene Lukacs The Stochastic Independence of Symmetric
and Homogeneous Linear and Quadratic
Statistics . . . . . . . . . . . . . . . 442--449
D. A. Darling On a Test for Homogeneity and Extreme
Values . . . . . . . . . . . . . . . . . 450--456; correction, 24, 135--136 (1953)
J. Wolfowitz On the Stochastic Approximation Method
of Robbins and Monro . . . . . . . . . . 457--461
J. Kiefer and
J. Wolfowitz Stochastic Estimation of the Maximum of
a Regression Function . . . . . . . . . 462--466
Fausto I. Toranzos An Asymmetric Bell-Shaped Frequency
Curve . . . . . . . . . . . . . . . . . 467--469
Murray Rosenblatt Remarks on a Multivariate Transformation 470--472
Anonymous Abstracts of Papers . . . . . . . . . . 472--483
Anonymous News and Notices . . . . . . . . . . . . 483--491
Anonymous Publications Received . . . . . . . . . 491--491
Herman Chernoff A Measure of Asymptotic Efficiency for
Tests of a Hypothesis Based on the sum
of Observations . . . . . . . . . . . . 493--507
R. C. Bose and
K. A. Bush Orthogonal Arrays of Strength two and
three . . . . . . . . . . . . . . . . . 508--524
William H. Kruskal A Nonparametric test for the Several
Sample Problem . . . . . . . . . . . . . 525--540
E. L. Lehmann Testing Multiparameter Hypotheses . . . 541--552
Raghu Raj Bahadur and
Leo A. Goodman Impartial Decision Rules and Sufficient
Statistics . . . . . . . . . . . . . . . 553--562
E. F. Drion Some Distribution-Free Tests for the
Difference Between two Empirical
Cumulative Distribution Functions . . . 563--574
D. A. S. Fraser Confidence Bounds for a set of Means . . 575--585
J. Kiefer Sequential Minimax Estimation for the
Rectangular Distribution with Unknown
Range . . . . . . . . . . . . . . . . . 586--593
F. N. David and
N. L. Johnson Extension of a Method of Investigating
the Properties of Analysis of Variance
Tests to the Case of Random and Mixed
Models . . . . . . . . . . . . . . . . . 594--601
W. S. Connor Some Relations among the Blocks of
Symmetrical Group Divisible Designs . . 602--609
Edward Paulson An Optimum Solution to the $k$-Sample
Slippage Problem for the Normal
Distribution . . . . . . . . . . . . . . 610--616
M. Rosenblatt Limit Theorems Associated with Variants
of the von Mises Statistic . . . . . . . 617--623
F. G. Foster A Markov Chain Derivation of Discrete
Distributions . . . . . . . . . . . . . 624--627
J. Kiefer On Minimum Variance Estimators . . . . . 627--629
D. A. S. Fraser and
Irwin Guttman Bhattacharyya Bounds without Regularity
Assumptions . . . . . . . . . . . . . . 629--632
Leo A. Goodman On the analysis of samples from $k$
lists . . . . . . . . . . . . . . . . . 632--634
Z. A. Lomnicki The Standard Error of Gini's Mean
Difference . . . . . . . . . . . . . . . 635--637
F. J. Massey, Jr. Correction to ``A Note on the Power of a
Nonparametric Test'' . . . . . . . . . . 637--638
Anonymous Abstracts of Papers . . . . . . . . . . 638--647
Anonymous News and Notices . . . . . . . . . . . . 647--655
Anonymous Institutional Members . . . . . . . . . 655--655
Anonymous Publications Received . . . . . . . . . 655--655
Z. W. Birnbaum Distribution-free Tests of fit for
Continuous Distribution Functions . . . 1--8
G. E. Albert and
Lewis Nelson Contributions to the Statistical Theory
of Counter Data . . . . . . . . . . . . 9--22
E. L. Lehmann The Power of Rank Tests . . . . . . . . 23--43
D. A. S. Fraser Nonparametric Tolerance Regions . . . . 44--55
Leo A. Goodman Sequential Sampling Tagging for
Population Size Problems . . . . . . . . 56--69
J. Kiefer On Wald's Complete Class Theorems . . . 70--75
O. Kempthorne A Class of Experimental Designs Using
Blocks of Two Plots . . . . . . . . . . 76--84
William F. Taylor Distance Functions and Regular Best
Asymptotically Normal Estimates . . . . 85--92
Wassily Hoeffding On the Distribution of the Expected
Values of the Order Statistics . . . . . 93--100
William G. Madow On the Theory of Systematic Sampling,
III. Comparison of Centered and Random
Start Systematic Sampling . . . . . . . 101--106
Sigeiti Moriguti A Modification of Schwarz's Inequality
with Applications to Distributions . . . 107--113
Leo A. Goodman A Simple Method for Improving some
Estimators . . . . . . . . . . . . . . . 114--117
Melvin D. Springer Joint Sampling Distribution of the Mean
and Standard Deviation for Probability
Density Functions of Doubly Infinite
Range . . . . . . . . . . . . . . . . . 118--122
H. O. Hartley and
S. S. Shrikhande and
W. B. Taylor A Note on Incomplete Block Designs with
Row Balance . . . . . . . . . . . . . . 123--126
Wassily Hoeffding A Lower Bound for the Average Sample
Number of a Sequential Test . . . . . . 127--130
M. R. Sampford Some Inequalities on Mill's Ratio and
Related Functions . . . . . . . . . . . 130--132
Robert F. Tate On a Double Inequality of the Normal
Distribution . . . . . . . . . . . . . . 132--134
John E. Walsh Correction to ``Some Nonparametric Tests
of Whether the Largest Observations of a
set are too Large or too Small'' . . . . 134--135
W. S. Connor Correction to ``On the Structure of
Balanced Incomplete Block Designs'' . . 135--135
D. A. Darling Correction to ``On a Test for
Homogeneity and Extreme Values'' . . . . 135--136
Anonymous Abstracts of Papers . . . . . . . . . . 136--147
Anonymous News and Notices . . . . . . . . . . . . 147--165
Anonymous Publications Received . . . . . . . . . 165--165
R. C. Bose and
S. S. Shrikhande and
K. N. Bhattacharya On the Construction of Group Divisible
Incomplete Block Designs . . . . . . . . 167--195
Brockway McMillan The Basic Theorems of Information Theory 196--219
S. N. Roy On a Heuristic Method of Test
Construction and its use in Multivariate
Analysis . . . . . . . . . . . . . . . . 220--238
D. A. Darling On a Class of Problems Related to the
Random Division of an Interval . . . . . 239--253
A. Dvoretzky and
J. Kiefer and
J. Wolfowitz Sequential Decision Problems for
Processes with Continuous time
Parameter. Testing Hypotheses . . . . . 254--264
David Blackwell Equivalent Comparisons of Experiments 265--272
Lionel Weiss Testing one Simple Hypothesis Against
Another . . . . . . . . . . . . . . . . 273--281
Julius Lieblein On the Exact Evaluation of the Variances
and Covariances of Order Statistics in
Samples from the Extreme-Value
Distribution . . . . . . . . . . . . . . 282--287
D. A. S. Fraser Generalized Hit Probabilities with a
Gaussian Target, II . . . . . . . . . . 288--294
S. G. Allen A Class of Minimax Tests for One-sided
Composite Hypotheses . . . . . . . . . . 295--298
Bradford F. Kimball Note on Computation of Orthogonal
Predictors . . . . . . . . . . . . . . . 299--303
Meyer Dwass On the Asymptotic Normality of Certain
Rank Order Statistics . . . . . . . . . 303--306
Casper Goffman Note on the Variation of Means . . . . . 307--309
Des Raj On Mill's Ratio for the Type III
Population . . . . . . . . . . . . . . . 309--312
Anonymous News and Notices . . . . . . . . . . . . 313--318
Anonymous Publications Received . . . . . . . . . 318--318
Milton Sobel An Essentially Complete Class of
Decision Functions for Certain Standard
Sequential Problems . . . . . . . . . . 319--337
David G. Kendall Stochastic Processes Occurring in the
Theory of Queues and their Analysis by
the Method of the Imbedded Markov Chain 338--354
F. G. Foster On the Stochastic Matrices Associated
with Certain Queuing Processes . . . . . 355--360
H. L. Royden Bounds on a Distribution Function when
its First $n$ Moments are Given . . . . 361--376
Kulendra N. Majumdar On some Theorems in Combinatorics
Relating to Incomplete Block Designs . . 377--389
D. A. S. Frasher The Behrens--Fisher Problem for
Regression Coefficients . . . . . . . . 390--402
A. Dvoretzky and
J. Kiefer and
J. Wolfowitz Sequential Decision Problems for
Processes with Continuous Time
Parameter. Problems of Estimation . . . 403--415
John Gurland Distribution of Quadratic Forms and
Ratios of Quadratic Forms . . . . . . . 416--427
Mark Lotkin and
Russell Remage Scaling and Error Analysis for Matrix
Inversion by Partitioning . . . . . . . 428--439
H. S. Konijn On Certain Classes of Statistical
Decision Procedures . . . . . . . . . . 440--448; corrections 25, 170--171 (1954)
Donald B. Owen A Double Sample Test Procedure . . . . . 449--457
Benjamin Epstein and
Chia Kuei Tsao Some Tests Based on Ordered Observations
from two Exponential Populations . . . . 458--466
W. J. Dixon Power Functions of the Sign Test and
Power Efficiency for Normal Alternatives 467--473
E. L. Lehmann and
C. M. Stein The Admissibility of Certain Invariant
Statistical Tests Involving a
Translation Parameter . . . . . . . . . 473--479
Gerald J. Lieberman A Note on Dodge's Continuous Inspection
Plan . . . . . . . . . . . . . . . . . . 480--484
Z. W. Birnbaum On the Power of a One-Sided Test of Fit
for Continuous Probability Functions . . 484--489
Anonymous Abstracts of Papers . . . . . . . . . . 490--499
Anonymous News and Notices . . . . . . . . . . . . 500--510
Anonymous Publications Received . . . . . . . . . 511--511
S. N. Roy and
R. C. Bose Simultaneous Confidence Interval
Estimation . . . . . . . . . . . . . . . 513--536
Ulf Grenander and
Murray Rosenblatt Statistical Spectral Analysis of Time
Series Arising from Stationary
Stochastic Processes . . . . . . . . . . 537--558
Robert R. Bush and
Frederick Mosteller A Stochastic Model with Applications to
Learning . . . . . . . . . . . . . . . . 559--585
Herman Chernoff Locally Optimal Designs for Estimating
Parameters . . . . . . . . . . . . . . . 586--602
J. H. Cadwell The Distribution of Quasi-Ranges in
Samples From a Normal Population . . . . 603--613
N. L. Johnson Some Notes on the Application of
Sequential Methods in the Analysis of
Variance . . . . . . . . . . . . . . . . 614--623
D. A. Darling and
A. J. F. Siegert The First Passage Problem for a
Continuous Markov Process . . . . . . . 624--639
B. M. Seelbinder On Stein's Two-stage Sampling Scheme . . 640--649
Herbert Solomon Distribution of the Measure of a Random
Two-dimensional Set . . . . . . . . . . 650--656
Harald Cramér Richard von Mises' Work in Probability
and Statistics . . . . . . . . . . . . . 657--662
S. Rosenbaum Tables for a Nonparametric Test of
Dispersion . . . . . . . . . . . . . . . 663--668
Donald R. Truax An Optimum Slippage Test for the
Variances of $k$ Normal Distributions 669--674
Nathan Mantel An Extension of the Buffon Needle
Problem . . . . . . . . . . . . . . . . 674--677
Lionel Weiss A Higher Order Complete Class Theorem 677--680
J. Kiefer Correction of a Proof: On Wald's
Complete Class Theorems . . . . . . . . 680--680
Anonymous Abstracts of Papers . . . . . . . . . . 680--693
Anonymous News and Notices . . . . . . . . . . . . 694--705
Anonymous Minutes of the Business Meeting,
Kingston, Ontario, September 3, 1953 . . 705--707
Anonymous Institutional Members . . . . . . . . . 708--708
Anonymous Publications Received . . . . . . . . . 708--708
Douglas G. Chapman The Estimation of Biological Populations 1--15
Robert E. Bechhofer A Single-Sample Multiple Decision
Procedure for Ranking Means of Normal
Populations with known Variances . . . . 16--39
A. T. James Normal Multivariate Analysis and the
Orthogonal Group . . . . . . . . . . . . 40--75
E. J. Gumbel The Maxima of the Mean Largest Value and
of the Range . . . . . . . . . . . . . . 76--84
H. O. Hartley and
H. A. David Universal Bounds for Mean Range and
Extreme Observation . . . . . . . . . . 85--99
W. S. Connor and
W. H. Clatworthy Some Theorems for Partially Balanced
Designs . . . . . . . . . . . . . . . . 100--112
Salem H. Khamis On the Reduced Moment Problem . . . . . 113--122
A. de la Garza Spacing of Information in Polynomial
Regression . . . . . . . . . . . . . . . 123--130
J. Wolfowitz Generalization of the Theorem of
Glivenko--Cantelli . . . . . . . . . . . 131--138
R. M. Sundrum On Lehmann's Two-Sample Test . . . . . . 139--145
S. Rosenbaum Tables for a Nonparametric Test of
Location . . . . . . . . . . . . . . . . 146--150
Esther Seiden On the Problem of Construction of
Orthogonal Arrays . . . . . . . . . . . 151--156
Allan Birnbaum Admissible Tests for the Mean of a
Rectangular Distribution . . . . . . . . 157--161
William Kruskal The Monotonicity of the Ratio of Two
Noncentral $t$ Density Functions . . . . 162--165
Stanley W. Nash An extension of the Borel--Cantelli
lemma . . . . . . . . . . . . . . . . . 165--167
Herschel Weil The Distribution of Radial Error . . . . 168--170
H. S. Konijn Correction to ``On Certain Classes of
Statistical Decision Procedures'' . . . 170--171
Anonymous Abstracts of Papers . . . . . . . . . . 171--178
Anonymous News and Notices . . . . . . . . . . . . 178--201
Anonymous Publications Received . . . . . . . . . 201--201
J. Wolfowitz Estimation by the Minimum Distance
Method in Nonparametric Stochastic
Difference Equations . . . . . . . . . . 203--217
M. N. Ghosh Asymptotic Distribution of Serial
Statistics and Applications to Problems
of Nonparametric Tests of Hypotheses . . 218--251
Ulf Grenander On the Estimation of Regression
Coefficients in the Case of an
Autocorrelated Disturbance . . . . . . . 252--272
Robert E. Bechhofer and
Milton Sobel A Single-Sample Multiple Decision
Procedure for Ranking Variances of
Normal Populations . . . . . . . . . . . 273--289
G. E. P. Box Some Theorems on Quadratic Forms Applied
in the Study of Analysis of Variance
Problems, I. Effect of Inequality of
Variance in the One-Way Classification 290--302
F. Downton Least-Squares Estimates Using Ordered
Observations . . . . . . . . . . . . . . 303--316
A. E. Sarhan Estimation of the Mean and Standard
Deviation by Order Statistics . . . . . 317--328
I. Olkin and
S. N. Roy On Multivariate Distribution Theory . . 329--339
G. E. Albert On the Computation of the Sampling
Characteristics of a General Class of
Sequential Decision Problems . . . . . . 340--356
N. L. Johnson Sequential Procedures in Certain
Component of Variance Problems . . . . . 357--366
Franklin A. Graybill On Quadratic Estimates of Variance
Components . . . . . . . . . . . . . . . 367--372
B. Epstein and
M. Sobel Some Theorems Relevant to Life Testing
from an Exponential Distribution . . . . 373--381
Julius R. Blum Approximation Methods which Converge
with Probability one . . . . . . . . . . 382--386
Gopinath Kallianpur A Note on the Robbins--Monro Stochastic
Approximation Method . . . . . . . . . . 386--388
Eugene Lukacs and
Edgar P. King A Property of the Normal Distribution 389--394
Anonymous Addendum . . . . . . . . . . . . . . . . 394--394
David Blackwell On Optimal Systems . . . . . . . . . . . 394--397
Raymond P. Peterson Density Unbiased Point Estimates . . . . 398--401
M. V. Jambunathan Some properties of Beta and Gamma
distributions . . . . . . . . . . . . . 401--405
D. F. Barrow and
A. C. Cohen, Jr. On Some Functions Involving Mill's Ratio 405--408
Anonymous Abstracts of Papers . . . . . . . . . . 408--414
Anonymous News and Notices . . . . . . . . . . . . 414--421
Anonymous Publications Received . . . . . . . . . 421--421
R. R. Bahadur Sufficiency and Statistical Decision
Functions . . . . . . . . . . . . . . . 423--462
K. L. Chung On a Stochastic Approximation Method . . 463--483
G. E. P. Box Some Theorems on Quadratic Forms Applied
in the Study of Analysis of Variance
Problems, II. Effects of Inequality of
Variance and of Correlation Between
Errors in the Two-Way Classification . . 484--498
H. E. Daniels A Distribution-Free Test for Regression
Parameters . . . . . . . . . . . . . . . 499--513
A. M. Mood On the Asymptotic Efficiency of Certain
Nonparametric Two-Sample Tests . . . . . 514--522
Sten Malmquist On Certain Confidence Contours for
Distribution Functions . . . . . . . . . 523--533
Paul G. Hoel Confidence Bands for Polynomial Curves 534--542
S. G. Ghurye Random Functions Satisfying Certain
Linear Relations . . . . . . . . . . . . 543--554
Benjamin Epstein Truncated Life Tests in the Exponential
Case . . . . . . . . . . . . . . . . . . 555--564
K. C. S. Pillai and
K. V. Ramachandran On the Distribution of the Ratio of the
ith Observation in an Ordered Sample
from a Normal Population to an
Independent Estimate of the Standard
Deviation . . . . . . . . . . . . . . . 565--572
Herman Chernoff On the Distribution of the Likelihood
Ratio . . . . . . . . . . . . . . . . . 573--578
Herman Chernoff and
E. L. Lehmann The Use of Maximum Likelihood Estimates
in $ \chi^2 $ Tests for Goodness of Fit 579--586
Chia Kuei Tsao An Extension of Massey's Distribution of
the Maximum Deviation Between Two-Sample
Cumulative Step Functions . . . . . . . 587--592
Z. W. Birnbaum and
H. Rubin On Distribution-Free Statistics . . . . 593--598
Marvin Zelen A Note on Partially Balanced Designs . . 599--602
Robert F. Tate Correlation Between a Discrete and a
Continuous Variable. Point-Biserial
Correlation . . . . . . . . . . . . . . 603--607
W. L. Nicholson A Computing Formula for the Power of the
Analysis of Variance Test . . . . . . . 607--610
W. J. Dixon Power Under Normality of Several
Nonparametric Tests . . . . . . . . . . 610--614
Herbert Robbins A Remark on the Joint Distribution of
Cumulative Sums . . . . . . . . . . . . 614--616
Anonymous Abstracts of Papers . . . . . . . . . . 616--620
Anonymous News and Notices . . . . . . . . . . . . 620--630
Anonymous Publications Received . . . . . . . . . 630--630
H. E. Daniels Saddlepoint Approximations in Statistics 631--650
C. Radhakrishna Rao A General Theory of Discrimination When
the Information About Alternative
Population Distributions is Based on
Samples . . . . . . . . . . . . . . . . 651--670
J. R. Green A Confidence Interval for Variance
Components . . . . . . . . . . . . . . . 671--686
Chia Kuei Tsao A Simple Sequential Procedure for
Testing Statistical Hypotheses . . . . . 687--702
R. S. G. Rutherford On a Contagious Distribution . . . . . . 703--713
T. A. Jeeves Identification and Estimation of Linear
Manifolds in $n$-Dimensions . . . . . . 714--723
Fred C. Andrews Asymptotic Behavior of Some Rank Tests
for Analysis of Variance . . . . . . . . 724--736
Julius R. Blum Multidimensional Stochastic
Approximation Methods . . . . . . . . . 737--744
S. Kullback Certain Inequalities in Information
Theory and the Cramér--Rao Inequality . . 745--751
S. N. Roy Some Further Results in Simultaneous
Confidence Interval Estimation . . . . . 752--761
Benjamin Epstein Tables for the Distribution of the
Number of Exceedances . . . . . . . . . 762--768
Henry Teicher On the Factorization of Distributions 769--774
Henry Teicher On the Convolution of Distributions . . 775--778
Lionel Weiss Sequential Procedures that Control the
Individual Probabilities of Coming to
the Various Decisions . . . . . . . . . 779--784
R. G. Laha On a Characterisation of the Gamma
Distribution . . . . . . . . . . . . . . 784--787
J. L. Hodges, Jr. and
E. L. Lehmann Matching in Paired Comparisons . . . . . 787--791
Lucien Le Cam Note on a theorem of Lionel Weiss . . . 791--794
R. D. Lord The Distribution of Distance in a
Hypersphere . . . . . . . . . . . . . . 794--798
G. S. Watson Extreme Values in Samples from
$m$-Dependent Stationary Stochastic
Processes . . . . . . . . . . . . . . . 798--800
M. Zia ud-Din Expression of the $k$-Statistics $ k_9$
and $ K_{10}$ in Terms of Power Sums and
Sample Moments . . . . . . . . . . . . . 800--803
J. H. Cadwell The Probability Integral of Range for
Samples from a Symmetrical Unimodal
Population . . . . . . . . . . . . . . . 803--806
Anonymous Abstracts of Papers . . . . . . . . . . 806--814
Anonymous News and Notices . . . . . . . . . . . . 814--824
Anonymous Minutes of Membership Meeting, September
12, 1954 . . . . . . . . . . . . . . . . 824--826
Anonymous Institutional Members . . . . . . . . . 826--826
Anonymous Publications Received . . . . . . . . . 826--826
D. A. Darling The Cramér--Smirnov test in the
parametric case . . . . . . . . . . . . 1--20
Allan Birnbaum Characterizations of Complete Classes of
Tests of Some Multiparametric
Hypotheses, with Applications to
Likelihood Ratio Tests . . . . . . . . . 21--36
James F. Hannan and
Herbert Robbins Asymptotic Solutions of the Compound
Decision Problem for Two Completely
Specified Distributions . . . . . . . . 37--51
Wassily Hoeffding and
Joan Raup Rosenblatt The Efficiency of Tests . . . . . . . . 52--63
Gottfried E. Noether On a Theorem of Pitman . . . . . . . . . 64--68
L. Le Cam An Extension of Wald's Theory of
Statistical Decision Functions . . . . . 69--81
Benjamin Epstein and
Milton Sobel Sequential Life Tests in the Exponential
Case . . . . . . . . . . . . . . . . . . 82--93
Chia Kuei Tsao Rank Sum Tests of Fit . . . . . . . . . 94--104
S. G. Ghurye Random Functions Satisfying Certain
Linear Relations, II . . . . . . . . . . 105--111
John T. Chu On the Distribution of the Sample Median 112--116
K. C. S. Pillai Some New Test Criteria in Multivariate
Analysis . . . . . . . . . . . . . . . . 117--121
John Gurland Distribution of Definite and of
Indefinite Quadratic Forms . . . . . . . 122--127
James Pachares Note on the Distribution of a Definite
Quadratic Form . . . . . . . . . . . . . 128--131
Esther Seiden On the Maximum Number of Constraints of
an Orthogonal Array . . . . . . . . . . 132--135; correction 27 (1956), 204
Paul G. Hoel On a Sequential Test for the General
Linear Hypothesis . . . . . . . . . . . 136--139
R. R. Bahadur and
E. L. Lehmann Two Comments on ``Sufficiency and
Statistical Decision Functions'' . . . . 139--142
Lionel Weiss A Note on Confidence Sets for Random
Variables . . . . . . . . . . . . . . . 142--144
D. Basu An Inconsistency of the Method of
Maximum Likelihood . . . . . . . . . . . 144--145
Meyer Dwass A Note on Simultaneous Confidence
Intervals . . . . . . . . . . . . . . . 146--147
Henry Teicher An Inequality on Poisson Probabilities 147--149
John E. Maxfield and
Robert S. Gardner Note on Linear Hypotheses with
Prescribed Matrix of Normal Equations 149--150
Anonymous Abstracts of Papers . . . . . . . . . . 150--162
Anonymous News and Notices . . . . . . . . . . . . 163--188
Anonymous Publications Received . . . . . . . . . 188--188
M. Kac and
J. Kiefer and
J. Wolfowitz On Tests of Normality and Other Tests of
Goodness of Fit Based on Distance
Methods . . . . . . . . . . . . . . . . 189--211
R. C. Bose and
W. H. Clatworthy Some Classes of Partially Balanced
Designs . . . . . . . . . . . . . . . . 212--232
J. Arthur Greenwood and
David Durand The Distribution of Length and
Components of the Sum of $n$ Random Unit
Vectors . . . . . . . . . . . . . . . . 233--246
Sylvain Ehrenfeld On the Efficiency of Experimental
Designs . . . . . . . . . . . . . . . . 247--255
Jerome Blackman On the Approximation of a Distribution
Function by an Empiric Distribution . . 256--267
Wassily Hoeffding The Extrema of the Expected Value of a
Function of Independent Random Variables 268--275
M. A. Girshick and
H. Rubin and
R. Sitgreaves Estimates of Bounded Relative Error in
Particle Counting . . . . . . . . . . . 276--285
R. R. Bahadur A Characterization of Sufficiency . . . 286--293
John Gurland Distribution of the Maximum of the
Arithmetic Mean of Correlated Random
Variables . . . . . . . . . . . . . . . 294--300
Evelyn Fix and
J. L. Hodges, Jr. Significance Probabilities of the
Wilcoxon Test . . . . . . . . . . . . . 301--312
W. L. Root and
T. S. Pitcher On the Fourier Series Expansion of
Random Functions . . . . . . . . . . . . 313--318
Eugene Lukacs A Characterization of the Gamma
Distribution . . . . . . . . . . . . . . 319--324
W. A. Thompson, Jr. The Ratio of Variances in a Variance
Components Model . . . . . . . . . . . . 325--329
Julius Lieblein On Moments of Order Statistics from the
Weibull Distribution . . . . . . . . . . 330--333
Meyer Dwass On the Asymptotic Normality of Some
Statistics Used in Non-Parametric Tests 334--339
D. Teichroew Empirical Power Functions for
Nonparametric Two-Sample Tests for Small
Samples . . . . . . . . . . . . . . . . 340--344
D. Basu A Note on the Theory of Unbiased
Estimation . . . . . . . . . . . . . . . 345--348
Lionel Weiss On Confidence Intervals of Given Length
for the Mean of a Normal Distribution
with Unknown Variance . . . . . . . . . 348--352
Anonymous News and Notices . . . . . . . . . . . . 353--360
Charles Lawrence Report of the Treasurer for 1954 . . . . 361--364
Anonymous Publications Received . . . . . . . . . 364--364
David Blackwell and
Albert H. Bowker Meyer Abraham Girshick 1908--1955 . . . 365--367
Joseph Putter The Treatment of Ties in Some
Nonparametric Tests . . . . . . . . . . 368--386
K. C. Seal On a Class of Decision Procedures for
Ranking Means of Normal Populations . . 387--398
E. L. Lehmann Ordered Families of Distributions . . . 399--419
Manohar Narhar Vartak On an Application of Kronecker Product
of Matrices to Statistical Designs . . . 420--438
Wassily Hoeffding and
S. S. Shrikhande Bounds for the Distribution Function of
a Sum of Independent, Identically
Distributed Random Variables . . . . . . 439--449
Om P. Aggarwal Some Minimax Invariant Procedures for
Estimating a Cumulative Distribution
Function . . . . . . . . . . . . . . . . 450--463
Arthur Grad and
Herbert Solomon Distribution of Quadratic Forms and Some
Applications . . . . . . . . . . . . . . 464--477
J. A. McFadden URN Models of Correlation and a
Comparison with the Multivariate Normal
Integral . . . . . . . . . . . . . . . . 478--489
R. R. Bahadur Statistics and Subfields . . . . . . . . 490--497
Walter L. Deemer, Jr. and
David F. Votaw, Jr. Estimation of Parameters of Truncated or
Censored Exponential Distributions . . . 498--504
A. E. Sarhan Estimation of the Mean and Standard
Deviation by Order Statistics. Part II 505--511
Leo Katz Probability of Indecomposability of a
Random Mapping Function . . . . . . . . 512--517
Charles Stein A Necessary and Sufficient Condition for
Admissibility . . . . . . . . . . . . . 518--522
J. L. Hodges, Jr. A Bivariate Sign Test . . . . . . . . . 523--527
J. R. Blum On the Convergence of Empiric
Distribution Functions . . . . . . . . . 527--529
Irving W. Burr Calculation of Exact Sampling
Distribution of Ranges from a Discrete
Population . . . . . . . . . . . . . . . 530--532
Lionel Weiss The Stochastic Convergence of a Function
of Sample Successive Differences . . . . 532--536
Anonymous Abstracts of Papers . . . . . . . . . . 536--542
Anonymous News and Notices . . . . . . . . . . . . 543--549
Anonymous Publications Received . . . . . . . . . 549--549
Jack Laderman On the Asymptotic Behavior of Decision
Procedures . . . . . . . . . . . . . . . 551--575
A. E. Sarhan Estimation of the Mean and Standard
Deviation by Order Statistics. Part III 576--592
John T. Chu and
Harold Hotelling The Moments of the Sample Median . . . . 593--606
H. D. Brunk Maximum Likelihood Estimates of Monotone
Parameters . . . . . . . . . . . . . . . 607--616
J. M. Shapiro Error Estimates for Certain Probability
Limit Theorems . . . . . . . . . . . . . 617--630
Kameo Matusita Decision Rules, Based on the Distance,
for Problems of Fit, Two Samples, and
Estimation . . . . . . . . . . . . . . . 631--640
Miriam Ayer and
H. D. Brunk and
G. M. Ewing and
W. T. Reid and
Edward Silverman An Empirical Distribution Function for
Sampling with Incomplete Information . . 641--647
J. L. Hodges, Jr. On the Noncentral Beta-Distribution . . 648--653
David Blackwell On Transient Markov Processes with a
Countable Number of States and
Stationary Transition Probabilities . . 654--658
George Gerard den Broeder, Jr. On Parameter Estimation for Truncated
Pearson Type III Distributions . . . . . 659--663
Albert Ross Eckler Rotation Sampling . . . . . . . . . . . 664--685
Gerald J. Lieberman and
Herbert Solomon Multi-Level Continuous Sampling Plans 686--704
Grace E. Bates Joint Distributions of Time Intervals
for the Occurrence of Successive
Accidents in a Generalized Pólya Scheme 705--720
W. A. Thompson, Jr. On the Ratio of Variances in the Mixed
Incomplete Block Model . . . . . . . . . 721--733
D. V. Huntsberger A Generalization of a Preliminary
Testing Procedure for Pooling Data . . . 734--743
A. R. Sen On the Selection of $n$ Primary Sampling
Units From a Stratum Structure $ (n
\geqq 2)$ . . . . . . . . . . . . . . . 744--751
D. A. Sprott Balanced Incomplete Block Designs and
Tactical Configurations . . . . . . . . 752--758
Esther Seiden Further Remark on the Maximum Number of
Constraints of an Orthogonal Array . . . 759--763
S. Sherman A Theorem on Convex Sets with
Applications . . . . . . . . . . . . . . 763--767
Anonymous Abstracts of Papers . . . . . . . . . . 767--775
Anonymous News and Notices . . . . . . . . . . . . 776--785
Anonymous Institutional Members . . . . . . . . . 785--785
Anonymous Publications Received . . . . . . . . . 785--785
Herman Chernoff Large-Sample Theory: Parametric Case . . 1--22
Henry Scheffé A ``Mixed Model'' for the Analysis of
Variance . . . . . . . . . . . . . . . . 23--36
John W. Tukey Keeping moment-like sampling
computations simple . . . . . . . . . . 37--54
Robert Hooke Symmetric Functions of a Two-way Array 55--79
Robert Hooke Some Applications of Bipolykays to the
Estimation of Variance Components and
their Moments . . . . . . . . . . . . . 80--98
Murray Rosenblatt On the Estimation of Regression
Coefficients of a Vector-Valued Time
Series with a Stationary Residual . . . 99--121
S. Kullback An Application of Information Theory to
Multivariate Analysis, II . . . . . . . 122--146
J. Kiefer and
J. Wolfowitz On the Characteristics of the General
Queueing Process, with Applications to
Random Walk . . . . . . . . . . . . . . 147--161
D. A. S. Fraser and
Irwin Guttman Tolerance Regions . . . . . . . . . . . 162--179
J. H. B. Kemperman Generalized Tolerance Limits . . . . . . 180--186
R. G. Laha On a Characterization of the Stable Law
with Finite Expectation . . . . . . . . 187--195
Ruric E. Wheeler A Variable Probability Distribution
Function . . . . . . . . . . . . . . . . 196--199
Herman Rubin Uniform Convergence of Random Functions
with Applications to Statistics . . . . 200--203
Esther Seiden Correction to ``On the Maximum Number of
Constraints of an Orthogonal Array'' . . 204--204
Anonymous Abstracts of Papers . . . . . . . . . . 204--223
Anonymous News and Notices . . . . . . . . . . . . 224--249
Anonymous Publications Received . . . . . . . . . 249--249
Henry Scheffé Alternative Models for the Analysis of
Variance . . . . . . . . . . . . . . . . 251--271
Samuel Karlin and
Herman Rubin The Theory of Decision Procedures for
Distributions with Monotone Likelihood
Ratio . . . . . . . . . . . . . . . . . 272--299
H. S. Konijn On the Power of Certain Tests for
Independence in Bivariate Populations 300--323
J. L. Hodges, Jr. and
E. L. Lehmann The Efficiency of Some Nonparametric
Competitors of the $t$-Test . . . . . . 324--335
Chin Long Chiang On Regular Best Asymptotically Normal
Estimates . . . . . . . . . . . . . . . 336--351
Meyer Dwass The Large-Sample Power of Rank Order
Tests in the Two-Sample Problem . . . . 352--374
D. G. Chapman and
C. O. Junge, Jr. The Estimation of the Size of a
Stratified Animal Population . . . . . . 375--389
Russell N. Bradt and
Samuel Karlin On the Design and Comparison of Certain
Dichotomous Experiments . . . . . . . . 390--409
D. Teichroew Tables of Expected Values of Order
Statistics and Products of Order
Statistics for Samples of Size Twenty
and Less from the Normal Distribution 410--426
A. E. Sarhan and
B. G. Greenberg Estimation of Location and Scale
Parameters by Order Statistics from
Singly and Doubly Censored Samples . . . 427--451
A. B. Clarke A Waiting Line Process of Markov Type 452--459
G. E. Albert Accurate Sequential Tests on the Mean of
an Exponential Distribution . . . . . . 460--470
W. L. Nicholson On the Normal Approximation to the
Hypergeometric Distribution . . . . . . 471--483
Martin Fox Charts of the power of the $F$-test . . 484--497
Douglas G. Chapman Estimating the Parameters of a Truncated
Gamma Distribution . . . . . . . . . . . 498--506
Robert M. Kozelka Approximate Upper Percentage Points for
Extreme Values in Multinomial Sampling 507--512
Jerome Blackman An Extension of the Kolmogorov
Distribution . . . . . . . . . . . . . . 513--520
K. V. Ramachandran On the Simultaneous Analysis of Variance
Test . . . . . . . . . . . . . . . . . . 521--528
Robert V. Hogg On the Distribution of the Likelihood
Ratio . . . . . . . . . . . . . . . . . 529--532
Cyrus Derman An Application of Chung's Lemma to the
Kiefer--Wolfowitz Stochastic
Approximation Procedure . . . . . . . . 532--536
John E. Freund and
Arthur N. Pozner Some Results on Restricted Occupancy
Theory . . . . . . . . . . . . . . . . . 537--540
D. A. S. Fraser A Vector Form of the
Wald--Wolfowitz--Hoeffding Theorem . . . 540--543
Anonymous Abstracts of Papers . . . . . . . . . . 543--552
Anonymous News and Notices . . . . . . . . . . . . 552--566
Anonymous Publications Received . . . . . . . . . 567--567
Mervin E. Muller Some Continuous Monte Carlo Methods for
the Dirichlet Problem . . . . . . . . . 569--589
I. Richard Savage Contributions to the Theory of Rank
Order Statistics-the Two-Sample Case . . 590--615
Charles Stein The Admissibility of Hotelling's $ T^2
$-Test . . . . . . . . . . . . . . . . . 616--623
J. W. Archbold and
N. L. Johnson A Method of Constructing Partially
Balanced Incomplete Block Designs . . . 624--632
D. A. Sprott A Note on Combined Interblock and
Intrablock Estimation in Incomplete
Block Designs . . . . . . . . . . . . . 633--641
A. Dvoretzky and
J. Kiefer and
J. Wolfowitz Asymptotic Minimax Character of the
Sample Distribution Function and of the
Classical Multinomial Estimator . . . . 642--669
Norman C. Severo and
Edwin G. Olds A Comparison of Tests on the Mean of a
Logarithmico-Normal Distribution with
Known Variance . . . . . . . . . . . . . 670--686
W. C. Healy, Jr. Two-Sample Procedures in Simultaneous
Estimation . . . . . . . . . . . . . . . 687--702
Chia Kuei Tsao Distribution of the Sum in Random
Samples from a Discrete Population . . . 703--712
Wassily Hoeffding On the Distribution of the Number of
Successes in Independent Trials . . . . 713--721
John W. Tukey Variances of variance components. I.
Balanced designs . . . . . . . . . . . . 722--736
S. R. Searle Matrix Methods in Components of Variance
and Covariance Analysis . . . . . . . . 737--748
S. N. Roy and
Marvin A. Kastenbaum On the Hypothesis of No ``Interaction''
In a Multi-way Contingency Table . . . . 749--757
Bradford F. Kimball The Bias in Certain Estimates of the
Parameters of the Extreme-Value
Distribution . . . . . . . . . . . . . . 758--767
David M. G. Wishart A Queueing System with $ \chi^2 $
Service-Time Distribution . . . . . . . 768--779
J. T. Chu Errors in Normal Approximations to the $
t, \tau, $ and Similar Types of
Distribution . . . . . . . . . . . . . . 780--789
R. G. Laha On the Stochastic Independence of Two
Second-Degree Polynomial Statistics in
Normally Distributed Variates . . . . . 790--796
Herbert T. David and
William H. Kruskal The WAGR Sequential $t$-Test Reaches a
Decision with Probability One . . . . . 797--805
Herman Chernoff and
Gerald J. Lieberman The Use of Generalized Probability Paper
for Continuous Distributions . . . . . . 806--818
Seymour Geisser The Modified Mean Square Successive
Difference and Related Statistics . . . 819--824
K. V. Ramachandran On the Tukey Test for the Equality of
Means and the Hartley Test for the
Equality of Variances . . . . . . . . . 825--831
Murray Rosenblatt Remarks on Some Nonparametric Estimates
of a Density Function . . . . . . . . . 832--837
D. A. S. Fraser Sufficient Statistics with Nuisance
Parameters . . . . . . . . . . . . . . . 838--842
W. A. Thompson, Jr. A Note on the Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 842--846
Oscar Kempthorne The Efficiency Factor of an Incomplete
Block Design . . . . . . . . . . . . . . 846--849
J. St-Pierre and
A. Zinger The Null Distribution of the Difference
Between the Two Largest Sample Values 849--851
Lionel Weiss A Certain Class of Solutions to a Moment
Problem . . . . . . . . . . . . . . . . 851--853
K. C. Seal On Minimum Variance Among Certain Linear
Functions of Order Statistics . . . . . 854--855
S. N. Roy A Note on ``Some Further Results in
Simultaneous Confidence Interval
Estimation'' . . . . . . . . . . . . . . 856--858
Seymour Geisser A Note on the Normal Distribution . . . 858--859
S. Kullback Correction to ``An Application of
Information Theory to Multivariate
Analysis, II'' . . . . . . . . . . . . . 860--860
Anonymous Abstracts of Papers . . . . . . . . . . 860--874
Anonymous News and Notices . . . . . . . . . . . . 874--878
Anonymous Publications Received . . . . . . . . . 878--878
Cyrus Derman Stochastic Approximation . . . . . . . . 879--886
J. Kiefer and
J. Wolfowitz Consistency of the Maximum Likelihood
Estimator in the Presence of Infinitely
Many Incidental Parameters . . . . . . . 887--906
Jerome Cornfield and
John W. Tukey Average values of mean squares in
factorials . . . . . . . . . . . . . . . 907--949
M. B. Wilk and
O. Kempthorne Some Aspects of the Analysis of
Factorial Experiments in a Completely
Randomized Design . . . . . . . . . . . 950--985
D. V. Lindley On a Measure of the Information Provided
by an Experiment . . . . . . . . . . . . 986--1005
L. H. Wegner Properties of Some Two-Sample Tests
Based on a Particular Measure of
Discrepancy . . . . . . . . . . . . . . 1006--1016
Helen Bozivich and
T. A. Bancroft and
H. O. Hartley Power of Analysis of Variance Test
Procedures for Certain Incompletely
Specified Models, I . . . . . . . . . . 1017--1043
D. L. Burkholder On a Class of Stochastic Approximation
Processes . . . . . . . . . . . . . . . 1044--1059
R. N. Bradt and
S. M. Johnson and
S. Karlin On Sequential Designs for Maximizing the
Sum of $n$ Observations . . . . . . . . 1060--1074
Donald B. Owen Tables for Computing Bivariate Normal
Probabilities . . . . . . . . . . . . . 1075--1090
Koichi Ito Asymptotic Formulae for the Distribution
of Hotelling's Generalized $ T^2_0 $
Statistic . . . . . . . . . . . . . . . 1091--1105
K. C. S. Pillai Some Results Useful in Multivariate
Analysis . . . . . . . . . . . . . . . . 1106--1114
R. R. Bahadur and
Leonard J. Savage The Nonexistence of Certain Statistical
Procedures in Nonparametric Problems . . 1115--1122
Patrick Billingsley Asymptotic Distributions of Two Goodness
of Fit Criteria . . . . . . . . . . . . 1123--1129
I. J. Good The Surprise Index for the Multivariate
Normal Distribution . . . . . . . . . . 1130--1135
John W. Hamblen Distributions of Roots of Quadratic
Equations with Random Coefficients . . . 1136--1143
D. R. Cox A Note on Weighted Randomization . . . . 1144--1151
J. Wolfowitz On Stochastic Approximation Methods . . 1151--1156
E. J. G. Pitman On the Derivatives of a Characteristic
Function at the Origin . . . . . . . . . 1156--1160
Charles Standish $N$-Dimensional Distributions Containing
a Normal Component . . . . . . . . . . . 1161--1165
Lionel Weiss A Certain Class of Tests of Fit . . . . 1165--1170
Harry Weingarten On the Probability of Large Deviations
for Sums of Bounded Chance Variables . . 1170--1174
C. Kraft and
L. Le Cam A Remark on the Roots of the Maximum
Likelihood Equation . . . . . . . . . . 1174--1177
Lionel Weiss On the Uniqueness of Wald Sequential
Tests . . . . . . . . . . . . . . . . . 1178--1181
V. N. Murty A Note on Bhattacharyya Bounds for the
Negative Binomial Distribution . . . . . 1182--1183
Anonymous Abstracts of Papers . . . . . . . . . . 1184--1186
Anonymous Statistical Research Monographs . . . . 1186--1186
Anonymous News and Notices . . . . . . . . . . . . 1187--1197
Anonymous Report of the Detroit Meeting of the
\insttitleInstitute of Mathematical
Statistics . . . . . . . . . . . . . . . 1198--1211
Anonymous Institutional Members . . . . . . . . . 1212--1212
Anonymous Publications Received . . . . . . . . . 1212--1212
E. L. Lehmann A Theory of some Multiple Decision
Problems, I . . . . . . . . . . . . . . 1--25
Ralph Palmer Agnew Estimates for Global Central Limit
Theorems . . . . . . . . . . . . . . . . 26--42
John W. Tukey Variances of variance components. II.
The unbalanced single classification . . 43--56
J. Kiefer and
Lionel Weiss Some Properties of Generalized
Sequential Probability Ratio Tests . . . 57--74
J. Wolfowitz The Minimum Distance Method . . . . . . 75--88
T. W. Anderson and
Leo A. Goodman Statistical Inference about Markov
Chains . . . . . . . . . . . . . . . . . 89--110
M. A. Girshick and
S. Karlin and
H. L. Royden Multistage Statistical Decision
Procedures . . . . . . . . . . . . . . . 111--125
R. G. Laha On a Characterization of the Normal
Distribution from Properties of Suitable
Linear Statistics . . . . . . . . . . . 126--139
Z. A. Lomnicki and
S. K. Zaremba On the Estimation of Autocorrelation in
time Series . . . . . . . . . . . . . . 140--158
Chia Kuei Tsao Approximations to the Power of Rank
Tests . . . . . . . . . . . . . . . . . 159--172
J. T. Chu Some Uses of Quasi-Ranges . . . . . . . 173--180
Meyer Dwass Modified Randomization Tests for
Nonparametric Hypotheses . . . . . . . . 181--187
Balkrishna V. Sukhatme On Certain Two-sample Nonparametric
Tests for Variances . . . . . . . . . . 188--194
G. E. P. Box and
J. S. Hunter Multi-Factor Experimental Designs for
Exploring Response Surfaces . . . . . . 195--241
J. R. Blum and
Lionel Weiss Consistency of Certain Two-Sample Tests 242--246
Walter L. Smith A Note on Truncation and Sufficient
Statistics . . . . . . . . . . . . . . . 247--252
Emanuel Parzen A Central Limit Theorem for Multilinear
Stochastic Processes . . . . . . . . . . 252--256
R. L. Wine and
John E. Freund On the Enumeration of Decision Patterns
Involving $n$ Means . . . . . . . . . . 256--259
B. Sherman Percentiles of the $ \omega_n $
statistic . . . . . . . . . . . . . . . 259--261
I. J. Good On the serial test for random sequences 262--264
H. Wold and
P. Faxér On the Specification Error in Regression
Analysis . . . . . . . . . . . . . . . . 265--267
T. S. Pitcher Sets of Measures not Admitting Necessity
and Sufficient Statistics or Subfields 267--268
D. A. Sprott Correction to ``A Note on Combined
Interblock and Intrablock Estimation in
Incomplete Block Designs'' . . . . . . . 269--269
Anonymous News and Notices . . . . . . . . . . . . 269--279
Anonymous Publications Received . . . . . . . . . 279--279
Samuel Karlin Pólya Type Distributions, II . . . . . . 281--308
Jagdish Sharan Rustagi On Minimizing and Maximizing a Certain
Integral with Statistical Applications 309--328
Emanuel Parzen On Consistent Estimates of the Spectrum
of a Stationary Time Series . . . . . . 329--348
Clyde Young Kramer and
Ralph Allan Bradley Intra-Block Analysis for Factorials in
Two-Associate Class Group Divisible
Designs . . . . . . . . . . . . . . . . 349--361
M. C. K. Tweedie Statistical Properties of Inverse
Gaussian Distributions. I . . . . . . . 362--377
John W. Tukey Variances of variance components. III.
Third moments in a balanced single
classification . . . . . . . . . . . . . 378--384
Werner Gautschi Some Remarks on Systematic Sampling . . 385--394
C. Derman and
S. Littauer and
H. Solomon Tightened Multi-Level Continuous
Sampling Plans . . . . . . . . . . . . . 395--404
R. G. Laha On Some Characterization Problems
Connected with Linear Structural
Relations . . . . . . . . . . . . . . . 405--414
Robert A. Wijsman Random Orthogonal Transformations and
their use in Some Classical Distribution
Problems in Multivariate Analysis . . . 415--423
Meyer Dwass On the Distribution of Ranks and of
Certain Rank Order Statistics . . . . . 424--431
John E. Walsh Estimating Future from Past in Life
Testing . . . . . . . . . . . . . . . . 432--441
Leo Katz and
James H. Powell Probability Distributions of Random
Variables Associated with a Structure of
the Sample Space of Sociometric
Investigations . . . . . . . . . . . . . 442--448
David Blackwell and
J. L. Hodges, Jr. Design for the Control of Selection Bias 449--460
Meyer Dwass and
Henry Teicher On Infinitely Divisible Random Vectors 461--470
B. McMillan and
J. Riordan A Moving Single Server Problem . . . . . 471--478
G. H. Freeman Some Further Methods of Constructing
Regular Group Divisible Incomplete Block
Designs . . . . . . . . . . . . . . . . 479--487
J. Roy and
R. G. Laha On Partially Balanced Linked Block
Designs . . . . . . . . . . . . . . . . 488--493
G. Szekeres and
F. E. Binet On Borel Fields Over Finite Sets . . . . 494--498
Leo Breiman On Transient Markov Chains with
Application to the Uniqueness Problem
for Markov Processes . . . . . . . . . . 499--503
John Wishart An Approximate Formula for the
Cumulative $z$-Distribution . . . . . . 504--510
D. Teichroew The Mixture of Normal Distributions with
Different Variances . . . . . . . . . . 510--512
A. J. Thomasian Metrics and Norms on Spaces of Random
Variables . . . . . . . . . . . . . . . 512--514
Peter W. M. John Divergent Time Homogeneous Birth and
Death Processes . . . . . . . . . . . . 514--517
D. A. S. Fraser A Regression Analysis Using the
Invariance Method . . . . . . . . . . . 517--520
David Blackwell On Discrete Variables whose Sum is
Absolutely Continuous . . . . . . . . . 520--521
W. D. Ray A Proof that the Sequential Probability
Ratio Test (S.P.R.T.) of the General
Linear Hypothesis Terminates with
Probability Unity . . . . . . . . . . . 521--523
Anonymous Abstracts of Papers . . . . . . . . . . 523--533
Anonymous News and Notices . . . . . . . . . . . . 533--545
Anonymous Publications Received . . . . . . . . . 545--545
E. L. Lehmann A Theory of Some Multiple Decision
Problems. II . . . . . . . . . . . . . . 547--572
J. Kiefer Invariance, Minimax Sequential
Estimation, and Continuous Time
Processes . . . . . . . . . . . . . . . 573--601
John W. Tukey On the comparative anatomy of
transformations . . . . . . . . . . . . 602--632
H. Steinhaus The Problem of Estimation . . . . . . . 633--648
M. V. Johns, Jr. Non-Parametric Empirical Bayes
Procedures . . . . . . . . . . . . . . . 649--669
V. E. Bene\vs On Queues with Poisson Arrivals . . . . 670--677
Franklin A. Graybill and
George Marsaglia Idempotent matrices and quadratic forms
in the general linear hypothesis . . . . 678--686
John W. Tukey Some examples with fiducial relevance 687--695
M. C. K. Tweedie Statistical Properties of Inverse
Gaussian Distributions. II . . . . . . . 696--705
M. E. Solari and
A. A. Anis The Mean and Variance of the Maximum of
the Adjusted Partial Sums of a Finite
Number of Independent Normal Variates 706--716
Eugene Lukacs Remarks Concerning Characteristic
Functions . . . . . . . . . . . . . . . 717--723
Seymour Geisser The Distribution of the Ratios of
Certain Quadratic Forms in Time Series 724--730
A. Clifford Cohen, Jr. Restriction and Selection in Multinormal
Distributions . . . . . . . . . . . . . 731--741
J. D. Bankier and
R. E. Walpole Components of Variance Analysis for
Proportional Frequencies . . . . . . . . 742--753
J. M. Shapiro Sums of Independent Truncated Random
Variables . . . . . . . . . . . . . . . 754--761
R. C. Burton and
W. S. Connor On the Identity Relationship for
Fractional Replicates of the $ 2^n $
Series . . . . . . . . . . . . . . . . . 762--767
Edgar Reich Waiting Times When Queues are in Tandem 768--773
Irwin Guttman On the Power of Optimum Tolerance
Regions when Sampling from Normal
Distributions . . . . . . . . . . . . . 773--778
Lionel Weiss The Convergence of Certain Functions of
Sample Spacings . . . . . . . . . . . . 778--782
Lionel Weiss The Asymptotic Power of Certain Tests of
Fit Based on Sample Spacings . . . . . . 783--786
T. Austin and
R. Fagen and
T. Lehrer and
W. Penney The Distribution of the Number of
Locally Maximal Elements in a Random
Sample . . . . . . . . . . . . . . . . . 786--790
J. M. Hammersley Percolation Processes: Lower Bounds for
the Critical Probability . . . . . . . . 790--795
Cyrus Derman Non-Parametric Up-and-down
Experimentation . . . . . . . . . . . . 795--798
John S. White Approximate Moments for the Serial
Correlation Coefficient . . . . . . . . 798--802
K. V. Ramachandran and
C. G. Khatri On a Decision Procedure Based on the
Tukey Statistic . . . . . . . . . . . . 802--806
W. J. Dixon Estimates of the Mean and Standard
Deviation of a Normal Population . . . . 806--809
Leo Breiman The Individual Ergodic Theorem of
Information Theory . . . . . . . . . . . 809--811
Leo Breiman A Counterexample to a Theorem of
Kolmogorov . . . . . . . . . . . . . . . 811--814
D. A. S. Fraser On the Combining of Interblock and
Intrablock Estimates . . . . . . . . . . 814--816
Anonymous Abstracts of Papers . . . . . . . . . . 816--818
Anonymous News and Notices . . . . . . . . . . . . 818--822
Anonymous Publications Received . . . . . . . . . 822--822
D. A. Darling The Kolmogorov--Smirnov, Cramér--von
Mises tests . . . . . . . . . . . . . . 823--838
Samuel Karlin Pólya-type Distributions, III:
Admissibility for Multi-Action Problems 839--860
I. J. Good Saddle-point Methods for the Multinomial
Distribution . . . . . . . . . . . . . . 861--881
Motoo Kimura Some Problems of Stochastic Processes in
Genetics . . . . . . . . . . . . . . . . 882--901
D. E. W. Schumann and
R. A. Bradley The Comparison of the Sensitivities of
Similar Experiments: Theory . . . . . . 902--920
Emanuel Parzen On Choosing an Estimate of the Spectral
Density Function of a Stationary Time
Series . . . . . . . . . . . . . . . . . 921--932
Z. W. Birnbaum and
Orval M. Klose Bounds for the Variance of the
Mann--Whitney Statistic . . . . . . . . 933--945
Reed Dawson and
I. J. Good Exact Markov Probabilities from Oriented
Linear Graphs . . . . . . . . . . . . . 946--956
Shanti S. Gupta and
Milton Sobel On a Statistic which Arises in Selection
and Ranking Problems . . . . . . . . . . 957--967
I. Richard Savage Contributions to the Theory of Rank
Order Statistics --- The ``Trend'' Case 968--977
David Durand and
J. Arthur Greenwood Random Unit Vectors II: Usefulness of
Gram--Charlier and Related Series in
Approximating Distributions . . . . . . 978--986
John W. Tukey Sums of random partitions of ranks . . . 987--992
A. T. James The Relationship Algebra of an
Experimental Design . . . . . . . . . . 993--1002
H. D. Block Estimates of Error for Two Modifications
of the Robbins--Monro Stochastic
Approximation Process . . . . . . . . . 1003--1010
David Blackwell and
Lambert Koopmans On the Identifiability Problem for
Functions of Finite Markov Chains . . . 1011--1015
Lionel Weiss Tests of Fit in the Presence of Nuisance
Location and Scale Parameters . . . . . 1016--1020
K. Sarkadi On the Distribution of the Number of
Exceedances . . . . . . . . . . . . . . 1021--1023
H. Blasbalg Transformation of the Fundamental
Relationships in Sequential Analysis . . 1024--1028
Leonard J. Savage When Different Pairs of Hypotheses have
the Same Family of Likelihood-Ratio Test
Regions . . . . . . . . . . . . . . . . 1028--1032
Andrew Sterrett On the Detection of Defective Members of
Large Populations . . . . . . . . . . . 1033--1036
A. Bruce Clarke Maximum Likelihood Estimates in a Simple
Queue . . . . . . . . . . . . . . . . . 1036--1040
D. A. S. Fraser Most Powerful Rank-type Tests . . . . . 1040--1043
Norman C. Severo Asymptotic Behavior of Tests on the Mean
of a Logarithmico-Normal Distribution
with Known Variance . . . . . . . . . . 1044--1046
John S. White A $t$-Test for the Serial Correlation
Coefficient . . . . . . . . . . . . . . 1046--1048
J. G. Wendel Groups and conditional Monte Carlo . . . 1048--1052
Harry Weingarten Tables for Type A Critical Regions . . . 1052--1053
Ralph G. Stanton A Note on BIBDS . . . . . . . . . . . . 1054--1055
I. J. Good Corrections to ``The Surprise Index for
the Multivariate Normal Distribution'' 1055--1055
Anonymous Abstracts of Papers . . . . . . . . . . 1056--1075
Anonymous News and Notices . . . . . . . . . . . . 1076--1097
Anonymous Publications Received . . . . . . . . . 1097--1098
Anonymous Institutional Members . . . . . . . . . 1098--1098
Samuel Karlin Pólya Type Distributions IV. Some
Principles of Selecting a Single
Procedure from a Complete Class . . . . 1--21
Marvin Zelen The Use of Group Divisible Designs for
Confounded Asymmetrical Factorial
Arrangements . . . . . . . . . . . . . . 22--40
Harry Kesten Accelerated Stochastic Approximation . . 41--59
Balkrishna V. Sukhatme Testing the Hypothesis That Two
Populations Differ Only in Location . . 60--78
A. E. Sarhan and
B. G. Greenberg Estimation of Location and Scale
Parameters by Order Statistics from
Singly and Doubly Censored Samples: Part
II. Tables for the Normal Distribution
for Samples of Size $ 11 \leqq n \leqq
15 $ . . . . . . . . . . . . . . . . . . 79--105
Paul S. Dwyer Generalizations of a Gaussian Theorem 106--117
H. Chernoff and
H. Teicher A Central Limit Theorem for Sums of
Interchangeable Random Variables . . . . 118--130
R. L. Plackett Linear Estimation from Censored Data . . 131--142
John G. Kemeny and
J. Laurie Snell Semimartingales of Markov Chains . . . . 143--154
S. G. Ghurye Note on Sufficient Statistics and
Two-Stage Procedures . . . . . . . . . . 155--166
S. R. Searle Sampling Variances of Estimates of
Components of Variance . . . . . . . . . 167--178
Z. W. Birnbaum and
Ronald Pyke On Some Distributions Related to the
Statistic $ D^+_n $ . . . . . . . . . . 179--187
Meyer Dwass On Several Statistics Related to
Empirical Distribution Functions . . . . 188--191
Charlotte T. Striebel On the Efficiency of Estimates of Trend
in the Ornstein Uhlenbeck Process . . . 192--200
Ingram Olkin and
John W. Pratt Unbiased Estimation of Certain
Correlation Coefficients . . . . . . . . 201--211
Leo Breiman Transient Atomic Markov Chains with a
Denumerable Number of States . . . . . . 212--218
J. W. Archbold and
N. L. Johnson A Construction for Room's Squares and an
Application in Experimental Design . . . 219--225
Ingram Olkin and
John W. Pratt A Multivariate Tchebycheff Inequality 226--234
Shanti S. Gupta and
Milton Sobel On Selecting a Subset Which Contains All
Populations Better Than a Standard . . . 235--244
Stanis\law Trybu\la Some Problems of Simultaneous Minimax
Estimation . . . . . . . . . . . . . . . 245--253
P. V. Krishna Iyer A Theorem on Factorial Moments and Its
Applications . . . . . . . . . . . . . . 254--261
W. S. Connor The Uniqueness of the Triangular
Association Scheme . . . . . . . . . . . 262--266
B. Sherman The Limiting Distribution of Brownian
Motion in a Bounded Region with
Instantaneous Return . . . . . . . . . . 267--273
Shanti S. Gupta and
Milton Sobel On the Distribution of a Statistic Based
on Ordered Uniform Chance Variables . . 274--281
Franklin A. Graybill Determining Sample Size for a Specified
Width Confidence Interval . . . . . . . 282--287
M. A. Girshick An Extension of the Optimum Property of
the Sequential Probability Ratio Test 288--290
V. R. Rao A Note on Balanced Designs . . . . . . . 290--294
P. G. Guest The Spacing of Observations in
Polynomial Regression . . . . . . . . . 294--299
Emanuel Parzen Conditions That a Stochastic Process be
Ergodic . . . . . . . . . . . . . . . . 299--301
Gerald D. Berndt Power Functions of the Gamma
Distribution . . . . . . . . . . . . . . 302--306
A. W. Marshall The Small Sample Distribution of $ n
\omega^2_n $ . . . . . . . . . . . . . . 307--309
Lionel Weiss Limiting Distributions of Homogeneous
Functions of Sample Spacings . . . . . . 310--312
David Blackwell Another Countable Markov Process with
Only Instantaneous States . . . . . . . 313--316
Lionel Weiss Spacings Generated by Mixed Samples . . 316--318
Jerome Blackman Correction to ``An Extension of the
Kolmogorov Distribution'' . . . . . . . 318--322
J. H. B. Kemperman Appendix . . . . . . . . . . . . . . . . 322--324
Anonymous Abstracts . . . . . . . . . . . . . . . 325--328
Anonymous News and Notices . . . . . . . . . . . . 328--350
Anonymous Publications Received . . . . . . . . . 350--350
J. Wolfowitz Information Theory for Mathematicians 351--356
D. R. Cox Some Problems Connected with Statistical
Inference . . . . . . . . . . . . . . . 357--372
Jerome Sacks Asymptotic Distribution of Stochastic
Approximation Procedures . . . . . . . . 373--405
Samuel Karlin Admissibility for Estimation with
Quadratic Loss . . . . . . . . . . . . . 406--436
H. D. Brunk On the Estimation of Parameters
Restricted by Inequalities . . . . . . . 437--454
David L. Wallace Intersection Region Confidence
Procedures with an Application to the
Location of the Maximum in Quadratic
Regression . . . . . . . . . . . . . . . 455--475
Leo A. Goodman Exact Probabilities and Asymptotic
Relationships for Some Statistics from
$m$-th Order Markov Chains . . . . . . . 476--490
S. N. Roy and
R. E. Bargmann Tests of Multiple Independence and the
Associated Confidence Bounds . . . . . . 491--503
Allan Birnbaum Sequential Tests for Variance Ratios and
Components of Variance . . . . . . . . . 504--514
J. M. Shapiro Sums of Powers of Independent Random
Variables . . . . . . . . . . . . . . . 515--522
Franklin A. Graybill and
William E. Pruitt The Staircase Design: Theory . . . . . . 523--533
R. R. Bahadur A Note on the Fundamental Identity of
Sequential Analysis . . . . . . . . . . 534--543
Isidore Fleischer and
Anthony Kooharian On the Statistical Treatment of
Stochastic Processes . . . . . . . . . . 544--549
Des Raj and
Salem H. Khamis Some Remarks on Sampling with
Replacement . . . . . . . . . . . . . . 550--557
Z. W. Birnbaum and
R. C. McCarty A Distribution-Free Upper Confidence
Bound for $ \Pr \{ Y < X \} $, Based on
Independent Samples of $X$ and $Y$ . . . 558--562
Edgar Reich On the integrodifferential equation of
Takács. I . . . . . . . . . . . . . . . . 563--570
Morton Kupperman Probabilities of Hypotheses and
Information-Statistics in Sampling from
Exponential-Class Populations . . . . . 571--575
W. L. Nicholson On the Distribution of $ 2 \times 2 $
Random Normal Determinants . . . . . . . 575--580
John W. Tukey A smooth invertibility theorem . . . . . 581--584
M. M. Siddiqui On the Inversion of the Sample
Covariance Matrix in a Stationary
Autoregressive Process . . . . . . . . . 585--588
John W. Tukey A problem of Berkson, and minimum
variance orderly estimators . . . . . . 588--592
Leo Breiman An Elementary Theorem Concerning
Stationary Ergodic Processes . . . . . . 592--595
Lionel Weiss A Test of Fit for Multivariate
Distributions . . . . . . . . . . . . . 595--599
Paul N. Somerville Tables for Obtaining Non-parametric
Tolerance Limits . . . . . . . . . . . . 599--601
John E. Walsh Nonparametric Estimation of Sample
Percentage Point Standard Deviation . . 601--604
George P. Steck A Uniqueness Property Not Enjoyed by the
Normal Distribution . . . . . . . . . . 604--606
Herman Rubin Estimation of a Regression Line with
Both Variables Subject to Error Under an
Unusual Identification Condition . . . . 606--608
Robert V. Hogg and
Allen T. Craig On the Decomposition of Certain $ \chi^2
$ Variables . . . . . . . . . . . . . . 608--610
G. E. P. Box and
Mervin E. Muller A note on the generation of random
normal deviates . . . . . . . . . . . . 610--611
V. S. Varadarajan and
R. Ranga Rao On a Theorem in Metric Spaces . . . . . 612--613
John W. Tukey Bias and confidence in not-quite large
samples (abstract) . . . . . . . . . . . 614--614
Anonymous Abstracts of Papers . . . . . . . . . . 614--623
Anonymous News and Notices . . . . . . . . . . . . 624--631
Anonymous Report of the Gatlinburg, Tennessee
Meeting of the \insttitleInstitute . . . 631--634
Anonymous Publications Received . . . . . . . . . 634--634
David L. Wallace Asymptotic Approximations to
Distributions . . . . . . . . . . . . . 635--654
Douglas G. Chapman A Comparative Study of Several One-Sided
Goodness-of-Fit Tests . . . . . . . . . 655--674
J. Kiefer On the Nonrandomized Optimality and
Randomized Nonoptimality of Symmetrical
Designs . . . . . . . . . . . . . . . . 675--699
Wassily Hoeffding and
J. Wolfowitz Distinguishability of Sets of
Distributions. (The case of independent
and identically distributed chance
variables) . . . . . . . . . . . . . . . 700--718
H. O. Lancaster The Structure of Bivariate Distributions 719--736
Ronald Pyke On Renewal Processes Related to Type I
and Type II Counter Models . . . . . . . 737--754
R. F. Tate and
R. L. Goen Minimum Variance Unbiased Estimation for
the Truncated Poisson Distribution . . . 755--765
B. V. Shah On Balancing in Factorial Experiments 766--779
George P. Steck A Table for Computing Trivariate Normal
Probabilities . . . . . . . . . . . . . 780--800
D. S. Robson Admissible and Minimax Integer-Valued
Estimators of an Integer-Valued
Parameter . . . . . . . . . . . . . . . 801--812
J. Aitchison and
S. D. Silvey Maximum-Likelihood Estimation of
Parameters Subject to Restraints . . . . 813--828
S. N. Roy and
R. F. Potthoff Confidence Bounds on Vector Analogues of
the ``Ratio of Means'' and the ``Ratio
of Variances'' for Two Correlated Normal
Variates and Some Associated Tests . . . 829--841
Herbert T. David A three-sample Kolmogorov--Smirnov test 842--851
M. M. Siddiqui Distribution of a Serial Correlation
Coefficient Near the Ends of the Range 852--861
Charles E. Clark and
G. Trevor Williams Distributions of the Members of an
Ordered Sample . . . . . . . . . . . . . 862--870
Leonard S. Feldt and
Moharram W. Mahmoud Power Function Charts for Specifying
Numbers of Observations in Analyses of
Variance of Fixed Effects . . . . . . . 871--877
Irving Weiss Limiting Distributions in Some Occupancy
Problems . . . . . . . . . . . . . . . . 878--884
Seymour Geisser and
Samuel W. Greenhouse An Extension of Box's Results on the Use
of the $F$ Distribution in Multivariate
Analysis . . . . . . . . . . . . . . . . 885--891
Edwin L. Crow A Property of Additively Closed Families
of Distributions . . . . . . . . . . . . 892--897
Colin R. Blyth Note on Relative Efficiency of Tests . . 898--903
John Mandel A Note on Confidence Intervals in
Regression Problems . . . . . . . . . . 903--907
A. M. Kshirsagar A Note on Incomplete Block Designs . . . 907--910
V. L. Mote On a Minimax Property of a Balanced
Incomplete Block Design . . . . . . . . 910--914
J. N. K. Rao A Characterization of the Normal
Distribution . . . . . . . . . . . . . . 914--919
W. A. Thompson, Jr. A Note on P.B.I.B. Design Matrices . . . 919--922
R. G. Laha On a Factorization Theorem in the Theory
of Analytic Characteristic Functions . . 922--926
A. V. Boyd Bounds for Mills' Ratio for the Type III
Population . . . . . . . . . . . . . . . 926--929
Manfred Kochen On the Commutativity of Operators in
Stochastic Models for Learning . . . . . 930--933
Ralph Allan Bradley and
Clyde Young Kramer Addenda to ``Intra-Block Analysis for
Factorials in Two-Associate Class Group
Divisible Designs'' . . . . . . . . . . 933--935
John S. White Acknowledgment of Priority: A $t$-Test
for the Serial Correlation Coefficient 935--935
H. S. Konijn Correction to ``On the Power of Certain
Tests for Independence in Bivariate
Populations'' . . . . . . . . . . . . . 935--936
Herbert T. David and
William H. Kruskal Correction to ``The WAGR Sequential
$T$-Test Reaches a Decision with
Probability One'' . . . . . . . . . . . 936--936
Anonymous Abstracts of Papers . . . . . . . . . . 936--939
Anonymous News and Notices . . . . . . . . . . . . 939--946
Anonymous Publications Received . . . . . . . . . 946--946
Leonard Cohen On Mixed Single Sample Experiments . . . 947--971
Herman Chernoff and
I. Richard Savage Asymptotic Normality and Efficiency of
Certain Nonparametric Test Statistics 972--994
A. P. Dempster A High Dimensional Two Sample
Significance Test . . . . . . . . . . . 995--1010
Paul Schmid On the Kolmogorov and Smirnov limit
theorems for discontinuous distribution
functions . . . . . . . . . . . . . . . 1011--1027
Robert A. Wijsman Incomplete Sufficient Statistics and
Similar Tests . . . . . . . . . . . . . 1028--1045
Thomas S. Ferguson A Method of Generating Best
Asymptotically Normal Estimates with
Application to the Estimation of
Bacterial Densities . . . . . . . . . . 1046--1062
G. H. Freeman Families of Designs for Two Successive
Experiments . . . . . . . . . . . . . . 1063--1078
Wm. Jackson Hall Most Economical Multiple-Decision Rules 1079--1094
Olive Jean Dunn Estimation of the Means of Dependent
Variables . . . . . . . . . . . . . . . 1095--1111
C. J. Burke and
M. Rosenblatt A Markovian Function of a Markov Chain 1112--1122
Leo A. Goodman Asymptotic Distributions of
``Psi--Squared'' Goodness of Fit
Criteria for $m$-th Order Markov Chains 1123--1133
Paul G. Hoel Efficiency Problems in Polynomial
Estimation . . . . . . . . . . . . . . . 1134--1145
A. G. Constantine and
A. T. James On the General Canonical Correlation
Distribution . . . . . . . . . . . . . . 1146--1166
E. L. Lehmann Significance Level and Power . . . . . . 1167--1176
J. Roy Step-Down Procedure in Multivariate
Analysis . . . . . . . . . . . . . . . . 1177--1187
John S. White The Limiting Distribution of the Serial
Correlation Coefficient in the Explosive
Case . . . . . . . . . . . . . . . . . . 1188--1197
Salomon Bochner and
Tatsuo Kawata A Limit Theorem for the Periodogram . . 1198--1208
David Blackwell and
Leo Breiman and
A. J. Thomasian Proof of Shannon's Transmission Theorem
for Finite-State Indecomposable Channels 1209--1220
Sujit Kumar Mitra On the Limiting Power Function of the
Frequency Chi-Square Test . . . . . . . 1221--1233
N. U. Prabhu Some Exact Results for the Finite Dam 1234--1243
R. Radner Minimax Estimation for Linear
Regressions . . . . . . . . . . . . . . 1244--1250
M. M. Siddiqui Covariances of Least-Squares Estimates
When Residuals are Correlated . . . . . 1251--1256
L. Takács On a Probability Problem in the Theory
of Counters . . . . . . . . . . . . . . 1257--1263
Jacques St-Pierre Distribution of Linear Contrasts of
Order Statistics . . . . . . . . . . . . 1264--1268
J. W. Pratt Admissible One-Sided Tests for the Mean
of a Rectangular Distribution . . . . . 1268--1271
Jack Moshman A Method for Selecting the Size of the
Initial Sample in Stein's Two Sample
Procedure . . . . . . . . . . . . . . . 1271--1275
V. S. Varadarajan On a Problem in Measure-Spaces . . . . . 1275--1278
G. D. Berndt Correction to ``Power Functions of the
Gamma Distribution'' . . . . . . . . . . 1278--1278
Morton Kupperman Correction to ``Probabilities of
Hypotheses and Information-Statistics in
Sampling From Exponential-Class
Populations'' . . . . . . . . . . . . . 1278--1278
Anonymous Abstracts of Papers . . . . . . . . . . 1279--1291
Anonymous News and Notices . . . . . . . . . . . . 1292--1308
Anonymous Publications Received . . . . . . . . . 1308--1308
Oscar Wesler Invariance Theory and a Modified Minimax
Principle . . . . . . . . . . . . . . . 1--20
R. C. Bose and
Dale M. Mesner On Linear Associative Algebras
Corresponding to Association Schemes of
Partially Balanced Designs . . . . . . . 21--38
S. S. Shrikhande On a Characterization of the Triangular
Association Scheme . . . . . . . . . . . 39--47
B. V. Shah On a Generalisation of the Kronecker
Product Designs . . . . . . . . . . . . 48--54
M. Stone Application of a Measure of Information
to the Design and Comparison of
Regression Experiments . . . . . . . . . 55--70
Colin R. Blyth Note on Estimating Information . . . . . 71--79
Morris H. DeGroot Unbiased Sequential Estimation for
Binomial Populations . . . . . . . . . . 80--101
Robert E. Bechhofer and
Salah Elmaghraby and
Norman Morse A Single-Sample Multiple-Decision
Procedure for Selecting the Multinomial
Event Which Has the Highest Probability 102--119
Harry Kesten and
Norman Morse A Property of the Multinomial
Distribution . . . . . . . . . . . . . . 120--127
Oscar Wesler A Classification Problem Involving
Multinomials . . . . . . . . . . . . . . 128--133
L. Takács On the Limiting Distribution of the
Number of Coincidences Concerning
Telephone Traffic . . . . . . . . . . . 134--142
Edgar Reich On the integrodifferential equation of
Takács. II . . . . . . . . . . . . . . . 143--148
H. P. Kramer Symmetrizable Markov Matrices . . . . . 149--153
Leo A. Goodman On Some Statistical Tests for $M$ th
Order Markov Chains . . . . . . . . . . 154--164
Edmund Eisenberg and
David Gale Consensus of Subjective Probabilities:
The Pari-Mutuel Method . . . . . . . . . 165--168
Gopinath Kallianpur A Note on Perfect Probability . . . . . 169--172
Pedro Egydio de Oliveira Carvalho On the Distribution of the
Kolmogorov--Smirnov $D$-Statistic . . . 173--176
R. Gnanadesikan Equality of More Than Two Variances and
of More Than Two Dispersion Matrices
Against Certain Alternatives . . . . . . 177--184
Robert A. Wijsman On the Theory of BAN Estimates . . . . . 185--191
Olive Jean Dunn Estimation of the Medians for Dependent
Variables . . . . . . . . . . . . . . . 192--197
William R. Gaffey A Consistent Estimator of a Component of
a Convolution . . . . . . . . . . . . . 198--205
Om P. Aggarwal Bayes and Minimax Procedures in Sampling
From Finite and Infinite Populations ---
I . . . . . . . . . . . . . . . . . . . 206--218
Gunnar Ekman An Approximation Useful in Univariate
Stratification . . . . . . . . . . . . . 219--229
Om P. Aggarwal and
Irwin Guttman Truncation and Tests of Hypotheses . . . 230--238
A. M. Kshirsagar Bartlett Decomposition and Wishart
Distribution . . . . . . . . . . . . . . 239--241
Ray Mickey Some Bounds on the Distribution
Functions of the Largest and Smallest
Roots of Normal Determinantal Equations 242--243
S. Karlin and
R. G. Miller, Jr. and
N. U. Prabhu Note on a Moving Single Server Problem 243--246
A. M. Kshirsagar Distribution of the ``Blocks Adjusted
for Treatments'' Sum of Squares in
Incomplete Block Designs . . . . . . . . 246--249
D. A. Sprott A Series of Symmetrical Group Divisible
Incomplete Block Designs . . . . . . . . 249--251
Nicolaas H. Kuiper Alternative Proof of a Theorem of
Birnbaum and Pyke . . . . . . . . . . . 251--252
Paul R. Rider Quasi-Ranges of Samples from an
Exponential Population . . . . . . . . . 252--254
Ralph G. Stanton Acknowledgment of Priority . . . . . . . 254--254
Robert A. Wijsman Correction to ``Random Orthogonal
Transformations and Their Use in Some
Classical Distribution Problems in
Multivariate Analysis'' . . . . . . . . 254--254
Anonymous Abstracts of Papers . . . . . . . . . . 255--257
Anonymous News and Notices . . . . . . . . . . . . 257--269
Anonymous Publications Received . . . . . . . . . 269--269
J. Kiefer and
J. Wolfowitz Optimum Designs in Regression Problems 271--294
Damaraju Raghavarao Some Optimum Weighing Designs . . . . . 295--303
S. N. Roy and
R. Gnanadesikan Some Contributions to Anova in One or
More Dimensions: I . . . . . . . . . . . 304--317
S. N. Roy and
R. Gnanadesikan Some Contributions to Anova in One or
More Dimensions: II . . . . . . . . . . 318--340
R. F. Tate Unbiased Estimation: Functions of
Location and Scale Parameters . . . . . 341--366
John J. Gart An extension of the Cramér-Rao inequality 367--380
A. V. Fend On the Attainment of Cramér--Rao and
Bhattacharyya Bounds for the Variance of
an Estimate . . . . . . . . . . . . . . 381--388
S. D. Silvey The Lagrangian Multiplier Test . . . . . 389--407
Charles H. Kraft and
John W. Pratt and
A. Seidenberg Intuitive Probability on Finite Sets . . 408--419
J. Kiefer $K$-Sample Analogues of the
Kolmogorov--Smirnov and Cramér--von Mises
Tests . . . . . . . . . . . . . . . . . 420--447
J. H. B. Kemperman Asymptotic Expansions for the Smirnov
Test and for the Range of Cumulative
Sums . . . . . . . . . . . . . . . . . . 448--462
J. Kiefer and
J. Wolfowitz Asymptotic Minimax Character of the
Sample Distribution Function for Vector
Chance Variables . . . . . . . . . . . . 463--489
Herbert Scarf Bayes Solutions of the Statistical
Inventory Problem . . . . . . . . . . . 490--508
J. G. Mauldon A Generalization of the
Beta-Distribution . . . . . . . . . . . 509--520
Bernard Harris Determining Bounds on Integrals with
Applications to Cataloging Problems . . 521--548
John W. Pratt On a General Concept of ``In
Probability'' . . . . . . . . . . . . . 549--558
Charlotte T. Striebel Densities for Stochastic Processes . . . 559--567
Ronald Pyke The Supremum and Infimum of the Poisson
Process . . . . . . . . . . . . . . . . 568--576
S. N. Roy and
J. Roy A Note on a Class of Problems in
`Normal' Multivariate Analysis of
Variance . . . . . . . . . . . . . . . . 577--581
Irwin D. J. Bross Note on an Application of the
Schumann--Bradley Table . . . . . . . . 581--583
A. Devinatz On a theorem of Lévy-Raikov . . . . . . . 583--586
M. O. Glasgow Note on the Factorial Moments of the
Distribution of Locally Maximal Elements
in a Random Sample . . . . . . . . . . . 586--590
Lionel Weiss The Limiting Joint Distribution of the
Largest and Smallest Sample Spacings . . 590--593
A. P. Dempster Generalized $ D^+_n $ Statistics . . . . 593--597
Robert A. Wijsman Applications of a Certain Representation
of the Wishart Matrix . . . . . . . . . 597--601
C. Derman and
J. Sacks On Dvoretzky's Stochastic Approximation
Theorem . . . . . . . . . . . . . . . . 601--606
J. R. Isbell On a Problem of Robbins . . . . . . . . 606--610
Charles E. Clark and
G. Trevor Williams Addenda: Distributions of the Members of
an Ordered Sample . . . . . . . . . . . 610--610
J. N. K. Rao Acknowledgment of Priority: A
Characterization of the Normal
Distribution . . . . . . . . . . . . . . 610--610
Anonymous Abstracts of Papers . . . . . . . . . . 611--625
Anonymous News and Notices . . . . . . . . . . . . 626--639
Anonymous Publications Received . . . . . . . . . 639--640
Herman Rubin and
Howard G. Tucker Estimating the Parameters of a
Differential Process . . . . . . . . . . 641--658
Gopinath Kallianpur A Problem in Optimum Filtering with
Finite Data . . . . . . . . . . . . . . 659--669
A. V. Balakrishnan On a Characterization of Covariances . . 670--675
T. W. Anderson On Asymptotic Distributions of Estimates
of Parameters of Stochastic Difference
Equations . . . . . . . . . . . . . . . 676--687
Edgar J. Gilbert On the Identifiability Problem for
Functions of Finite Markov Chains . . . 688--697
Donald P. Gaver, Jr. Imbedded Markov Chain Analysis of a
Waiting-Line Process in Continuous Time 698--720
Ralph Palmer Agnew Asymptotic Expansions in Global Central
Limit Theorems . . . . . . . . . . . . . 721--737
D. L. Burkholder On the Existence of a Best Approximation
of One Distribution Function by Another
of a Given Type . . . . . . . . . . . . 738--742
Albert Madansky Bounds on the Expectation of a Convex
Function of a Multivariate Random
Variable . . . . . . . . . . . . . . . . 743--746
T. L. Austin and
R. E. Fagen and
W. F. Penney and
John Riordan The Number of Components in Random
Linear Graphs . . . . . . . . . . . . . 747--754
Herman Chernoff Sequential Design of Experiments . . . . 755--770
R. C. Bose and
R. L. Carter Complex Representation in the
Construction of Rotatable Designs . . . 771--780
S. S. Shrikhande The Uniqueness of the $ \mathrm {L}_2 $
Association Scheme . . . . . . . . . . . 781--798
Franklin A. Graybill and
David L. Weeks Combining Inter-Block and Intra-Block
Information in Balanced Incomplete
Blocks . . . . . . . . . . . . . . . . . 799--805
John H. MacKay Asymptotically Efficient Tests Based on
the Sums of Observations . . . . . . . . 806--813
G. A. Watterson Linear Estimation in Censored Samples
from Multivariate Normal Populations . . 814--824
M. Ziaud-Din The expression of $k$-statistic $
k_{11}$ in terms of power sums and
sample moments . . . . . . . . . . . . . 825--828
Howard G. Tucker A generalization of the
Glivenko--Cantelli theorem . . . . . . . 828--830
John S. White The Limiting Distribution of the Serial
Correlation Coefficient in the Explosive
Case II . . . . . . . . . . . . . . . . 831--834
Anonymous Abstracts of Papers . . . . . . . . . . 835--837
Anonymous News and Notices . . . . . . . . . . . . 838--844
Anonymous Publications Received . . . . . . . . . 844--844
Robert J. Buehler Some Validity Criteria for Statistical
Inferences . . . . . . . . . . . . . . . 845--863
David L. Wallace Conditional Confidence Level Properties 864--876
Charles Stein An Example of Wide Discrepancy Between
Fiducial and Confidence Intervals . . . 877--880
E. L. Lehmann Optimum Invariant Tests . . . . . . . . 881--884
M. Zelen and
L. S. Joel The Weighted Compounding of Two
Independent Significance Tests . . . . . 885--895
D. Guthrie, Jr. and
M. V. Johns, Jr. Bayes Acceptance Sampling Procedures for
Large Lots . . . . . . . . . . . . . . . 896--925
Irwin Guttman Optimum Tolerance Regions and Power When
Sampling From Some Non-Normal Universes 926--938
Leon H. Herbach Properties of Model II-Type Analysis of
Variance Tests, A: Optimum Nature of the
$F$-Test for Model II in the Balanced
Case . . . . . . . . . . . . . . . . . . 939--959
Werner Gautschi Some Remarks on Herbach's Paper,
``Optimum Nature of the $F$-Test for
Model II in the Balanced Case'' . . . . 960--963
Wm. Jackson Hall The Most-Economical Character of Some
Bechhofer and Sobel Decision Rules . . . 964--969
Charles Stein The Admissibility of Pitman's Estimator
of a Single Location Parameter . . . . . 970--979
H. Leon Harter The Use of Sample Quasi-Ranges in
Estimating Population Standard Deviation 980--999
Frederic M. Lord The Joint Cumulants of True Values and
Errors of Measurement . . . . . . . . . 1000--1004
R. Wormleighton Some Tests of Permutation Symmetry . . . 1005--1017
I. Richard Savage Contributions to the Theory of Rank
Order Statistics --- The One-Sample Case 1018--1023
Meyer Dwass The Distribution of a Generalized $
\mathrm {D}^+_n $ Statistic . . . . . . 1024--1028
Jerome Klotz Null Distribution of the Hodges
Bivariate Sign Test . . . . . . . . . . 1029--1033
John E. Walsh Exact Nonparametric Tests for Randomized
Blocks . . . . . . . . . . . . . . . . . 1034--1040
B. V. Shah A Generalisation of Partially Balanced
Incomplete Block Designs . . . . . . . . 1041--1050
Manohar Narhar Vartak The Non-Existence of Certain PBIB
Designs . . . . . . . . . . . . . . . . 1051--1062
Junjiro Ogawa A Necessary Condition for Existence of
Regular and Symmetrical Experimental
Designs of Triangular Type, with
Partially Balanced Incomplete Blocks . . 1063--1071
H. A. David and
Beverly E. Arens Optimal Spacing in Regression Analysis 1072--1081
D. A. Gardiner and
A. H. E. Grandage and
R. J. Hader Third Order Rotatable Designs for
Exploring Response Surfaces . . . . . . 1082--1096
R. C. Bose and
Norman R. Draper Second Order Rotatable Designs in Three
Dimensions . . . . . . . . . . . . . . . 1097--1112
David Blackwell and
J. L. Hodges, Jr. The Probability in the Extreme Tail of a
Convolution . . . . . . . . . . . . . . 1113--1120
David L. Wallace Bounds on Normal Approximations to
Student's and the Chi-Square
Distributions . . . . . . . . . . . . . 1121--1130
Gunnar Ekman Approximate Expressions for the
Conditional Mean and Variance Over Small
Intervals of a Continuous Distribution 1131--1134
K. C. S. Pillai and
Tito A. Mijares On the Moments of the Trace of a Matrix
and Approximations to its Distribution 1135--1140
E. N. Gilbert Random Graphs . . . . . . . . . . . . . 1141--1144
E. M. L. Beale and
C. L. Mallows Scale Mixing of Symmetric Distributions
with Zero Means . . . . . . . . . . . . 1145--1151
Otto Han\vs Measurability of Extensions of
Continuous Random Transforms . . . . . . 1152--1157
S. G. Ghurye and
David L. Wallace A Convolutive Class of Monotone
Likelihood Ratio Families . . . . . . . 1158--1164
R. G. Laha On the Laws of Cauchy and Gauss . . . . 1165--1174
C. Derman and
M. V. Johns, Jr. and
G. J. Lieberman Continuous Sampling Procedures Without
Control . . . . . . . . . . . . . . . . 1175--1191
T. Kawata Some Convergence Theorems for Stationary
Stochastic Processes . . . . . . . . . . 1192--1214
Mark Kac and
David Slepian Large Excursions of Gaussian Processes 1215--1228
David Blackwell and
Leo Breiman and
A. J. Thomasian The Capacity of a Class of Channels . . 1229--1241
David Blackwell Infinite Codes for Memoryless Channels 1242--1244
N. L. Johnson A Proof of Wald's Theorem on Cumulative
Sums . . . . . . . . . . . . . . . . . . 1245--1247
V. P. Bhapkar A Note on Multiple Independence Under
Multivariate Normal Linear Models . . . 1248--1251
William Feller Non-Markovian Processes with the
Semigroup Property . . . . . . . . . . . 1252--1253
Shu-teh Chen Moy Successive Recurrence Times in a
Stationary Process . . . . . . . . . . . 1254--1257
C. G. Khatri On the Mutual Independence of Certain
Statistics . . . . . . . . . . . . . . . 1258--1262
Gerald S. Rogers A Note on the Stochastic Independence of
Functions of Order Statistics . . . . . 1263--1264
Leo A. Aroian Correction Notes: Corrections to
``Continued Fractions for the Incomplete
Beta Function'' . . . . . . . . . . . . 1265--1265
A. Dvoretzky and
J. Kiefer and
J. Wolfowitz Correction Notes: Corrections to
``Sequential Decision Problems for
Processes with Continuous Time
Parameter-Testing Hypothesis'' . . . . . 1265--1265
John Gurland Correction Notes: Corrections to
``Distribution of the Maximum of the
Arithmetic Mean of Correlated Random
Variables'' . . . . . . . . . . . . . . 1265--1266
Charles Jordan Correction Notes: Corrections to
``Approximation and Graduation According
to the Principle of Least Squares by
Orthogonal Polynomials'' . . . . . . . . 1266--1266
Paul R. Rider Correction Notes: Corrections to
``Quasi-Ranges in Samples from an
Exponential Population'' . . . . . . . . 1266--1267
B. V. Shah Correction Notes: Corrections to ``On
Balancing in Factorial Experiments'' . . 1267--1267
George P. Steck Correction Notes: Corrections to ``A
Table for Computing Trivariate Normal
Probabilities'' . . . . . . . . . . . . 1267--1267
Howard G. Tucker Correction Notes: Corrections to ``A
Generalization of the Glivenko--Cantelli
Theorem'' . . . . . . . . . . . . . . . 1267--1268
Robert A. Wijsman Correction Notes: Corrections to ``On
the Theory of BAN Estimates'' . . . . . 1268--1270
Anonymous Abstracts of Papers . . . . . . . . . . 1271--1278
Anonymous News and Notices . . . . . . . . . . . . 1279--1286
Anonymous Publications Received . . . . . . . . . 1286--1286
Henry B. Mann The Algebra of a Linear Hypothesis . . . 1--15
J. D. Bankier An Operational Approach to the $r$-Way
Crossed Classification . . . . . . . . . 16--22
Norman R. Draper Second Order Rotatable Designs in Four
or More Dimensions . . . . . . . . . . . 23--33
B. V. Shah A Matrix Substitution Method of
Constructing Partially Balanced Designs 34--42
R. R. Bahadur Some Approximations to the Binomial
Distribution Function . . . . . . . . . 43--54
Henry Teicher On the Mixture of Distributions . . . . 55--73
John W. Pratt On Interchanging Limits and Integrals 74--77
S. K. Katti Moments of the Absolute Difference and
Absolute Deviation of Discrete
Distributions . . . . . . . . . . . . . 78--85
Rupert G. Miller, Jr. Priority Queues . . . . . . . . . . . . 86--103
J. Keilson and
A. Kooharian On Time Dependent Queuing Processes . . 104--112
R. C. Bose and
Roy R. Kuebler, Jr. A Geometry of Binary Sequences
Associated with Group Alphabets in
Information Theory . . . . . . . . . . . 113--139
Lucien Le Cam and
Lorraine Schwartz A Necessary and Sufficient Condition for
the Existence of Consistent Estimates 140--150
Alan T. James The Distribution of the Latent Roots of
the Covariance Matrix . . . . . . . . . 151--158
Lionel Weiss Two-Sample Tests for Multivariate
Distributions . . . . . . . . . . . . . 159--164
T. W. Anderson A Modification of the Sequential
Probability Ratio Test to Reduce the
Sample Size . . . . . . . . . . . . . . 165--197
Sam C. Saunders Sequential Tolerance Regions . . . . . . 198--216
R. Wormleighton A Useful Generalization of the Stein
Two-Sample Procedure . . . . . . . . . . 217--221
J. M. Shapiro Sums of Small Powers of Independent
Random Variables . . . . . . . . . . . . 222--224
K. Sarkadi On the Median of the Distribution of
Exceedances . . . . . . . . . . . . . . 225--226
Paul S. Dwyer Correction Notes: Correction to
``Generalizations of a Gaussian
Theorem'' . . . . . . . . . . . . . . . 227--227
R. Gnanadesikan Correction Notes: Correction to and
Comment on ``Equality of More Than Two
Variances and of More Than Two
Dispersion Matrices Against Certain
Alternatives'' . . . . . . . . . . . . . 227--228
H. Leon Harter Correction Notes: Correction to ``The
Use of Sample Quasi-Ranges in Estimating
Population Standard Deviation'' . . . . 228--228
A. S. Krishnamoorthy and
M. Parthasarathy Correction Notes: Correction to ``A
Multivariate Gamma-Type Distribution'' 229--229
Anonymous Abstracts of Papers . . . . . . . . . . 230--246
Anonymous News and Notices . . . . . . . . . . . . 247--267
Anonymous Publications Received . . . . . . . . . 268--268
J. Hemelrijk The Statistical Work of David Van
Dantzig (1900--1959) . . . . . . . . . . 269--275
R. R. Bahadur Stochastic Comparison of Tests . . . . . 276--295
Samuel Karlin and
Donald Truax Slippage Problems . . . . . . . . . . . 296--324
D. L. Burkholder Effect on the Minimal Complete Class of
Tests of Changes in the Testing Problem 325--331
Morris Skibinsky Some Properties of a Class of Bayes
Two-Stage Tests . . . . . . . . . . . . 332--351
Wassily Hoeffding Lower Bounds for the Expected Sample
Size and the Average Risk of a
Sequential Procedure . . . . . . . . . . 352--368
B. L. van der Waerden Sampling Inspection as a Minimum Loss
Problem . . . . . . . . . . . . . . . . 369--384
W. J. Dixon Simplified Estimation from Censored
Normal Samples . . . . . . . . . . . . . 385--391
J. Roy and
I. M. Chakravarti Estimating the Mean of a Finite
Population . . . . . . . . . . . . . . . 392--398
H. Linhart A Measure of Predictive Precision in
Regression Analysis . . . . . . . . . . 399--404
H. Witting A Generalized Pitman Efficiency for
Nonparametric Tests . . . . . . . . . . 405--414
U. V. R. Rao and
I. R. Savage and
M. Sobel Contributions to the Theory of Rank
Order Statistics: The Two-Sample
Censored Case . . . . . . . . . . . . . 415--426
M. Fisz On a Result by M. Rosenblatt Concerning
the von Mises--Smirnov Test . . . . . . 427--429
Walter Vogel A Sequential Design for the Two Armed
Bandit . . . . . . . . . . . . . . . . . 430--443
Walter Vogel An Asymptotic Minimax Theorem for the
Two Armed Bandit Problem . . . . . . . . 444--451
A. J. Thomasian An Elementary Proof of the AEP of
Information Theory . . . . . . . . . . . 452--456
H. Furstenberg and
H. Kesten Products of Random Matrices . . . . . . 457--469
Melvin Katz, Jr. and
A. J. Thomasian An Exponential Bound for Functions of a
Markov Chain . . . . . . . . . . . . . . 470--474
N. U. Prabhu Application of Storage Theory to Queues
with Poisson Arrivals . . . . . . . . . 475--482
Albert W. Marshall A One-Sided Analog of Kolmogorov's
Inequality . . . . . . . . . . . . . . . 483--487
Albert W. Marshall and
Ingram Olkin A One-Sided Inequality of the Chebyshev
Type . . . . . . . . . . . . . . . . . . 488--491
A. J. Hoffman On the Uniqueness of the Triangular
Association Scheme . . . . . . . . . . . 492--497
Anonymous Note [On the Uniqueness and
Nonuniqueness of the Triangular
Association Schemes] . . . . . . . . . . 497--497
L. C. A. Corsten Proper Spaces Related to Triangular
Partially Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 498--501
B. V. Shah Balanced Factorial Experiments . . . . . 502--514
John Lamperti The First-Passage Moments and the
Invariant Measure of a Markov Chain . . 515--517
Marshall Freimer and
Bernard Gold Note on the Distribution of Locally
Maximal Elements in a Random Sample . . 518--518
I. Richard Savage Contributions to the Theory of Rank
Order Statistics: Computation Rules for
Probabilities of Rank Orders . . . . . . 519--520
Wadie F. Mikhail An Inequality for Balanced Incomplete
Block Designs . . . . . . . . . . . . . 520--522; addendum, 1213
G. P. Steck Acknowledgement of Priority: A
Uniqueness Property Not Enjoyed by the
Normal Distribution . . . . . . . . . . 523--523
Anonymous Abstracts of Papers . . . . . . . . . . 524--539
Anonymous News and Notices . . . . . . . . . . . . 540--556
Anonymous Publications Received . . . . . . . . . 556--556
J. R. Blum Werner Gautschi, 1927--1959 . . . . . . 557--557
David Blackwell and
Leo Breiman and
A. J. Thomasian The Capacities of Certain Channel
Classes Under Random Coding . . . . . . 558--567
K. R. Parthasarathy On the Estimation of the Spectrum of a
Stationary Stochastic Process . . . . . 568--573
Edward Nelson and
Dale Varberg Expectations of Functionals on a
Stochastic Process . . . . . . . . . . . 574--578
J. Sacks Ergodocity [sic] of Queues in Series . . 579--588
G. F. Newell Queues for a Fixed-Cycle Traffic Light 589--597
Harold Ruben Probability Content of Regions Under
Spherical Normal Distributions, I . . . 598--618
Marvin Zelen and
Norman C. Severo Graphs for Bivariate Normal
Probabilities . . . . . . . . . . . . . 619--624
D. L. Heck Charts of Some Upper Percentage Points
of the Distribution of the Largest
Characteristic Root . . . . . . . . . . 625--642
Jerzy Neyman and
Elizabeth L. Scott Correction for Bias Introduced by a
Transformation of Variables . . . . . . 643--655
L. Schmetterer On a Problem of J. Neyman and E. Scott 656--661
Allan Birnbaum and
William C. Healy, Jr. Estimates with Prescribed Variance Based
on Two-Stage Sampling . . . . . . . . . 662--676
Robert A. Wijsman A Monotonicity Property of the
Sequential Probability Ratio Test . . . 677--684
Hirofumi Uzawa Locally Most Powerful Rank Tests for
Two-Sample Problems . . . . . . . . . . 685--702
C. B. Bell On the Structure of Distribution-Free
Statistics . . . . . . . . . . . . . . . 703--709
Z. W. Birnbaum and
R. A. Hall Small Sample Distributions for
Multi-Sample Statistics of the Smirnov
Type . . . . . . . . . . . . . . . . . . 710--720
Samuel Karlin and
Frank Proschan Pólya Type Distributions of Convolutions 721--736
J. L. Hodges, Jr. and
Lucien Le Cam The Poisson Approximation to the Poisson
Binomial Distribution . . . . . . . . . 737--740
V. P. Bhapkar Confidence Bounds Connected with Anova
and Manova for Balanced and Partially
Balanced Incomplete Block Designs . . . 741--748
Gideon Schwarz A Class of Factorial Designs with
Unequal Cell-Frequencies . . . . . . . . 749--755
Damaraju Raghavarao A Generalization of Group Divisible
Designs . . . . . . . . . . . . . . . . 756--771
Manohar Narhar Vartak Relations Among the Blocks of the
Kronecker Product of Designs . . . . . . 772--778
P. V. Rao The Dual of a Balanced Incomplete Block
Design . . . . . . . . . . . . . . . . . 779--785
Franklin A. Graybill and
V. Seshadri On the Unbiasedness of Yates' Method of
Estimation Using Interblock Information 786--787
Damaraju Raghavarao On the Block Structure of Certain \bf
PBIB Designs with Two Associate Classes
Having Triangular and $ L_2 $
Association Schemes . . . . . . . . . . 787--791
K. R. Shah Optimality Criteria for Incomplete Block
Designs . . . . . . . . . . . . . . . . 791--794
C. B. Bell and
David Blackwell and
Leo Breiman On the Completeness of Order Statistics 794--797
Ronald Pyke On Centering Infinitely Divisible
Processes . . . . . . . . . . . . . . . 797--800
Leo Breiman The Strong Law of Large Numbers for a
Class of Markov Chains . . . . . . . . . 801--803
A. Ghosal Emptiness in the Finite Dam . . . . . . 803--808
Leo Breiman Correction Notes: Correction to ``The
Individual Ergodic Theorem of
Information Theory'' . . . . . . . . . . 809--810
David L. Wallace Correction Notes: Correction to ``Bounds
on Normal Approximations to Student's
and the Chi-Square Distributions'' . . . 810--810
Anonymous Abstracts of Papers . . . . . . . . . . 811--823
Anonymous News and Notices . . . . . . . . . . . . 824--833
Anonymous Publications Received . . . . . . . . . 833--834
Allen T. Craig Our Silver Anniversary . . . . . . . . . 835--837
G. E. P. Box and
D. W. Behnken Simplex-Sum Designs: A Class of Second
Order Rotatable Designs Derivable From
Those of First Order . . . . . . . . . . 838--864
Norman R. Draper Third Order Rotatable Designs in Three
Dimensions . . . . . . . . . . . . . . . 865--874
Norman R. Draper A Third Order Rotatable Design in Four
Dimensions . . . . . . . . . . . . . . . 875--877
Damaraju Raghavarao Some Aspects of Weighing Designs . . . . 878--884
A. P. Dempster Random Allocation Designs I: On General
Classes of Estimation Methods . . . . . 885--905
J. P. Imhof A Mixed Model for the Complete Three-Way
Layout with Two Random-Effects Factors 906--928
M. M. Siddiqui Tests for Regression Coefficients When
Errors are Correlated . . . . . . . . . 929--938
S. N. Roy and
Whitfield Cobb Mixed Model Variance Analysis with
Normal Error and Possibly Non-Normal
Other Random Effects: Part I: The
Univariate Case . . . . . . . . . . . . 939--957
S. N. Roy and
Whitfield Cobb Mixed Model Variance Analysis with
Normal Error and Possibly Non-Normal
Other Random Effects: Part II: The
Multivariate Case . . . . . . . . . . . 958--968
Richard Warren An Associated Polynomial for Least
Squares Approximations . . . . . . . . . 969--981
Lambert H. Koopmans Asymptotic Rate of Discrimination for
Markov Processes . . . . . . . . . . . . 982--994
Shu-teh Chen Moy Equalities for Stationary Processes
Similar to an Equality of Wald . . . . . 995--1000
Albert W. Marshall and
Ingram Olkin Multivariate Chebyshev Inequalities . . 1001--1014
R. R. Bahadur and
R. Ranga Rao On Deviations of the Sample Mean . . . . 1015--1027
R. G. Laha and
E. Lukacs and
M. Newman On the Independence of a Sample Central
Moment and the Sample Mean . . . . . . . 1028--1033
J. G. Wendel Order Statistics of Partial Sums . . . . 1034--1044
Bernard Harris Probability Distributions Related to
Random Mappings . . . . . . . . . . . . 1045--1062
Max Halperin Some Asymptotic Results for a Coverage
Problem . . . . . . . . . . . . . . . . 1063--1076
D. F. Votaw, Jr. Statistical Programming . . . . . . . . 1077--1083
Donald F. Morrison and
H. A. David The Life Distribution and Reliability of
a System with Spare Components . . . . . 1084--1094
Richard Cohn and
Frederick Mosteller and
John W. Pratt and
Maurice Tatsuoka Maximizing the Probability That Adjacent
Order Statistics of Samples from Several
Populations Form Overlapping Intervals 1095--1104
Nico F. Laubscher Normalizing the Noncentral $t$ and $F$
Distributions . . . . . . . . . . . . . 1105--1112
Harold Ruben Probability Content of Regions Under
Spherical Normal Distributions, II: The
Distribution of the Range in Normal
Samples . . . . . . . . . . . . . . . . 1113--1121
H. Leon Harter Tables of Range and Studentized Range 1122--1147
Koichi Ito Asymptotic Formulae for the Distribution
of Hotelling's Generalized $ T_0^2 $
Statistic. II . . . . . . . . . . . . . 1148--1153
L. Schmetterer On Unbiased Estimation . . . . . . . . . 1154--1163
Donald Richter Two-Stage Experiments for Estimating a
Common Mean . . . . . . . . . . . . . . 1164--1173
A. R. Ansari and
R. A. Bradley Rank-Sum Tests for Dispersions . . . . . 1174--1189
Bruce M. Hill A Relationship Between Hodges' Bivariate
Sign Test and a Non-Parametric Test of
Daniels . . . . . . . . . . . . . . . . 1190--1192
M. H. DeGroot Minimax Sequential Tests of Some
Composite Hypotheses . . . . . . . . . . 1193--1200
Jack Nadler Inverse Binomial Sampling Plans When an
Exponential Distribution is Sampled with
Censoring . . . . . . . . . . . . . . . 1201--1204
H. A. David A Conservative Property of Binomial
Tests . . . . . . . . . . . . . . . . . 1205--1207
V. P. Godambe An Optimum Property of Regular Maximum
Likelihood Estimation . . . . . . . . . 1208--1211
Om P. Aggarwal and
Irwin Guttman Correction Notes: Corrections to
``Truncation and Tests of Hypotheses'' 1213--1213
Wadie F. Mikhail Acknowledgment of Priority: An
Inequality for Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 1213--1213
Anonymous Abstracts of Papers . . . . . . . . . . 1215--1217
Anonymous News and Notices . . . . . . . . . . . . 1219--1254
Anonymous Publications Received . . . . . . . . . 1254--1254
L. Takács Charles Jordan, 1871--1959 . . . . . . . 1--11
Patrick Billingsley Statistical Methods in Markov Chains . . 12--40
I. J. Good The Frequency Count of a Markov Chain
and the Transition to Continuous Time 41--48
B. R. Bhat On the Asymptotic Distribution of the
``PSI-Squared'' Goodness of Fit Criteria
for Markov Chains and Markov Sequences 49--58
B. R. Bhat Some Properties of Regular Markov Chains 59--71
V. P. Bhapkar Some Tests for Categorical Data . . . . 72--83
James Pachares Tables for Unbiased Tests on the
Variance of a Normal Population . . . . 84--87
Jack Capon Asymptotic Efficiency of Certain Locally
Most Powerful Rank Tests . . . . . . . . 88--100
John S. White The Nonparametric Ordering: $ (1001)
\rightarrow (0110) $ . . . . . . . . . . 101--103
A. M. Kshirsagar The Non-Central Multivariate Beta
Distribution . . . . . . . . . . . . . . 104--111
Allan Birnbaum A Unified Theory of Estimation, I . . . 112--135
Morris W. Katz Admissible and Minimax Estimates of
Parameters in Truncated Spaces . . . . . 136--142
Paul R. Rider The Method of Moments Applied to a
Mixture of Two Exponential Distributions 143--147
Leo A. Goodman Snowball Sampling . . . . . . . . . . . 148--170
Harold Ruben Probability Content of Regions Under
Spherical Normal Distributions, III: The
Bivariate Normal Integral . . . . . . . 171--186
Herbert Robbins Recurrent Games and the Petersburg
Paradox . . . . . . . . . . . . . . . . 187--194
M. M. Rao Consistency and Limit Distributions of
Estimators of Parameters in Explosive
Stochastic Difference Equations . . . . 195--218
J. Gani First Emptiness of Two Dams in Parallel 219--229
P. D. Finch The Transient Behaviour of a Coincidence
Variate in Telephone Traffic . . . . . . 230--234
John R. Kinney First Passage Times of a Generalized
Random Walk . . . . . . . . . . . . . . 235--243
Henry Teicher Identifiability of Mixtures . . . . . . 244--248
I. J. Good An Asymptotic Formula for the
Differences of the Powers at Zero . . . 249--256
J. H. Abbott and
J. R. Blum On a Theorem of Rényi Concerning Mixing
Sequences of Sets . . . . . . . . . . . 257--260
Franklin A. Graybill and
Robert A. Hultquist Theorems Concerning Eisenhart's Model II 261--269
S. Ehrenfeld and
S. Zacks Randomization and Factorial Experiments 270--297
J. Kiefer Optimum Designs in Regression Problems,
II . . . . . . . . . . . . . . . . . . . 298--325
M. Stone Non-Equivalent Comparisons of
Experiments and Their Use for
Experiments Involving Location
Parameters . . . . . . . . . . . . . . . 326--332
S. K. Katti Distribution of the Likelihood Ratio for
Testing Multivariate Linear Hypotheses 333--335
Melvin Katz, Jr. and
A. J. Thomasian A Bound for the Law of Large Numbers for
Discrete Markov Processes . . . . . . . 336--337
J. G. Wendel The Non-Absolute Convergence of
Gil--Pelaez' Inversion Integral . . . . 338--339
Anonymous Abstracts of Papers . . . . . . . . . . 340--342
Anonymous Change of Editorship . . . . . . . . . . 343--343
Anonymous News and Notices . . . . . . . . . . . . 344--355
Anonymous Publications Received . . . . . . . . . 355--355
D. Dugué Georges Darmois, 1888--1960 . . . . . . 357--360
Haim Hanani The Existence and Construction of
Balanced Incomplete Block Designs . . . 361--386
A. P. Dempster Random Allocation Designs II:
Approximate Theory for Simple Random
Allocation . . . . . . . . . . . . . . . 387--405
D. W. Behnken Sampling Moments of Means from Finite
Multivariate Populations . . . . . . . . 406--413
Allan Birnbaum On the Foundations of Statistical
Inference: Binary Experiments . . . . . 414--435
H. R. van der Vaart Some Extensions of the Idea of Bias . . 436--447
I. Olkin and
R. F. Tate Multivariate Correlation Models with
Mixed Discrete and Continuous Variables 448--465
W. C. Healy, Jr. Limits for a Variance Component with an
Exact Confidence Coefficient . . . . . . 466--476
P. G. Hoel and
E. M. Scheuer Confidence Sets for Multivariate Medians 477--484
J. R. Blum and
J. Kiefer and
M. Rosenblatt Distribution Free Tests of Independence
Based on the Sample Distribution
Function . . . . . . . . . . . . . . . . 485--498
P. Whittle Some Exact Results for One-Sided
Distribution Tests of the
Kolmogorov--Smirnov Type . . . . . . . . 499--505
Jaroslav Hájek Some Extensions of the
Wald--Wolfowitz--Noether Theorem . . . . 506--523
Eve Bofinger and
V. J. Bofinger The gap test for random sequences . . . 524--534
I. J. Good The Multivariate Saddlepoint Method and
Chi-Squared for the Multinomial
Distribution . . . . . . . . . . . . . . 535--548
H. D. Miller A Generalization of Wald's Identity with
Applications to Random Walks . . . . . . 549--560
Robert Bartoszy\'nski A Characterization of the Weak
Convergence of Measures . . . . . . . . 561--576
Samuel Kotz Exponential Bounds on the Probability of
Error for a Discrete Memoryless Channel 577--582
L. H. Koopmans An Exponential Bound on the Strong Law
of Large Numbers for Linear Stochastic
Processes with Absolutely Convergent
Coefficients . . . . . . . . . . . . . . 583--586
Frank A. Haight Expected Utility for Queues Servicing
Messages with Exponentially Decaying
Utility . . . . . . . . . . . . . . . . 587--593
Patrick Billingsley On the Coding Theorem for the Noiseless
Channel . . . . . . . . . . . . . . . . 594--601
M. H. DeGroot The Essential Completeness of the Class
of Generalized Sequential Probability
Ratio Tests . . . . . . . . . . . . . . 602--605
James B. MacQueen A Problem in Survival . . . . . . . . . 605--610
D. Slepian First Passage Time for a Particular
Gaussian Process . . . . . . . . . . . . 610--612
K. L. Chung A Note on the Ergodic Theorem of
Information Theory . . . . . . . . . . . 612--614
C. Derman Remark Concerning Two-State Semi-Markov
Processes . . . . . . . . . . . . . . . 615--616
D. A. Sprott An Example of an Ancillary Statistic and
the Combination of Two Samples by Bayes'
Theorem . . . . . . . . . . . . . . . . 616--618
I. J. Good Corrections Notes: Corrections to
``Saddle-point Methods for the
Multinomial Distribution'' . . . . . . . 619--619
Bruce M. Hill Correction Notes: Corrections to ``A
Relationship Between Hodges' Bivariate
Sign Test and a Non-Parametric Test of
Daniels'' . . . . . . . . . . . . . . . 619--619
P. V. Krishna Iyer Correction Notes: Corrections to ``The
Theory of Probability Distributions of
Points on a Lattice'' . . . . . . . . . 619--619
P. V. Krishna Iyer Correction Notes: Corrections to ``A
Theorem on Factorial Moments and Its
Applications'' . . . . . . . . . . . . . 620--620
Harold Ruben Correction Notes: Corrections to
``Probability Content of Regions Under
Spherical Normal Distributions, II: The
Distribution of the Range in Normal
Samples'' . . . . . . . . . . . . . . . 620--620
Anonymous Abstracts of Papers . . . . . . . . . . 621--639
Anonymous News and Notices . . . . . . . . . . . . 640--650
Anonymous Publications Received . . . . . . . . . 650--650
Herman Wold Oskar Anderson, 1887--1960 . . . . . . . 651--660
D. A. S. Fraser On Fiducial Inference . . . . . . . . . 661--676
H. J. Godwin and
S. K. Zaremba A Central Limit Theorem for Partly
Dependent Variables . . . . . . . . . . 677--686
Z. W. Birnbaum and
Albert W. Marshall Some Multivariate Chebyshev Inequalities
with Extensions to Continuous Parameter
Processes . . . . . . . . . . . . . . . 687--703
C. B. Bell Maximal Independent Stochastic Processes 704--708
John G. Kemeny and
J. Laurie Snell On Markov Chain Potentials . . . . . . . 709--715
G. A. Watterson Markov Chains with Absorbing States: A
Genetic Example . . . . . . . . . . . . 716--729
V. K. Murthy Estimation of the Spectrum . . . . . . . 730--738
Lajos Takács On a Coincidence Problem Concerning
Particle Counters . . . . . . . . . . . 739--756
N. U. Prabhu On the Ruin Problem of Collective Risk
Theory . . . . . . . . . . . . . . . . . 757--764
B. Weesakul The Random Walk Between a Reflecting and
an Absorbing Barrier . . . . . . . . . . 765--769
C. R. Heathcote On the Queueing Process M/G/1 . . . . . 770--773
Arthur E. Albert The Sequential Design of Experiments for
Infinitely Many States of Nature . . . . 774--799
P. V. Rao Analysis of a Class of PBIB Designs with
More than Two Associate Classes . . . . 800--808
Mohamad Salahuddin Ahmed On a Locally most Powerful Boundary
Randomized Similar Test for the
Independence of Two Poisson Variables 809--827
Max Halperin Confidence Intervals from Censored
Samples . . . . . . . . . . . . . . . . 828--837
Lionel Weiss Tests of Fit Based on the Number of
Observations Falling in the Shortest
Sample Spacings Determined by Earlier
Observations . . . . . . . . . . . . . . 838--845
V. P. Bhapkar Some Nonparametric Median Procedures . . 846--863
H. R. van der Vaart On Certain Characteristics of the
Distribution of the Latent Roots of a
Symmetric Random Matrix Under General
Conditions . . . . . . . . . . . . . . . 864--873
Alan T. James The Distribution of Noncentral Means
with Known Covariance . . . . . . . . . 874--882
B. K. Shah and
C. G. Khatri Distribution of a Definite Quadratic
Form for Non-Central Normal Variates . . 883--887
Shanti S. Gupta Percentage Points and Modes of Order
Statistics from the Normal Distribution 888--893
G. Marsaglia Expressing a random variable in terms of
uniform random variables . . . . . . . . 894--898
G. Marsaglia Generating exponential random variables 899--900
Glen Baxter A Combinatorial Lemma for Complex
Numbers . . . . . . . . . . . . . . . . 901--904
T. Cacoullos A Combinatorial Derivation of the
Distribution of the Truncated Poisson
Sufficient Statistic . . . . . . . . . . 904--905
B. Brainerd and
T. V. Narayana A Note on Simple Binomial Sampling Plans 906--908
V. N. Murty An Inequality for Balanced Incomplete
Block Designs . . . . . . . . . . . . . 908--909
Norman R. Draper Third Order Rotatable Designs in Three
Dimensions: Some Specific Designs . . . 910--913
Anonymous Abstracts of Papers . . . . . . . . . . 914--926
Ernest M. Scheuer Correction to Abstract ``Moments of the
Radial Error'': Abstracts of Papers . . 926--926
Anonymous News and Notices . . . . . . . . . . . . 927--950
Anonymous Publications Received . . . . . . . . . 950--950
Emanuel Parzen An Approach to Time Series Analysis . . 951--989
E. L. Lehmann Some Model I Problems of Selection . . . 990--1012
David B. Duncan Bayes Rules for a Common Multiple
Comparisons Problem and Related
Student-$t$ Problems . . . . . . . . . . 1013--1033
H. E. Reinhardt The Use of Least Favorable Distributions
in Testing Composite Hypotheses . . . . 1034--1041
Paul G. Hoel Asymptotic Efficiency in Polynomial
Estimation . . . . . . . . . . . . . . . 1042--1047
C. Villegas Maximum Likelihood Estimation of a
Linear Functional Relationship . . . . . 1048--1062
J. Edward Jackson and
Ralph A. Bradley Sequential $ \chi^2 $- and $ T^2 $-tests 1063--1077
H. Leon Harter Estimating the Parameters of Negative
Exponential Populations from One or Two
Order Statistics . . . . . . . . . . . . 1078--1090
V. P. Godambe On the Two Sample Problem: A Heuristic
Method for Constructing Tests . . . . . 1091--1107
V. P. Bhapkar A Nonparametric Test for the Problem of
Several Samples . . . . . . . . . . . . 1108--1117
Peter A. W. Lewis Distribution of the Anderson--Darling
statistic . . . . . . . . . . . . . . . 1118--1124
S. John Errors in Discrimination . . . . . . . . 1125--1144
S. N. Roy and
W. F. Mikhail On the Monotonic Character of the Power
Functions of Two Multivariate Tests . . 1145--1151
Tito A. Mijares The Moments of Elementary Symmetric
Functions of the Roots of a Matrix in
Multivariate Analysis . . . . . . . . . 1152--1160
S. R. Searle Variance Components in the Unbalanced
$2$-Way Nested Classification . . . . . 1161--1166
Sidney Addelman and
Oscar Kempthorne Some Main-Effect Plans and Orthogonal
Arrays of Strength Two . . . . . . . . . 1167--1176
Esther Seiden On a Geometrical Method of Construction
of Partially Balanced Designs with Two
Associate Classes . . . . . . . . . . . 1177--1180
I. M. Chakravarti On Some Methods of Construction of
Partially Balanced Arrays . . . . . . . 1181--1185
G. H. Freeman Some Further Designs of Type O:PP . . . 1186--1190
D. L. Burkholder Sufficiency in the Undominated Case . . 1191--1200
M. P. Schützenberger On a Special Class of Recurrent Events 1201--1213
Henry Teicher Maximum Likelihood Characterization of
Distributions . . . . . . . . . . . . . 1214--1222
Roger S. Pinkham On the Distribution of First Significant
Digits . . . . . . . . . . . . . . . . . 1223--1230
Ronald Pyke Markov Renewal Processes: Definitions
and Preliminary Properties . . . . . . . 1231--1242
Ronald Pyke Markov Renewal Processes with Finitely
Many States . . . . . . . . . . . . . . 1243--1259
H. D. Miller A Convexity Property in the Theory of
Random Variables Defined on a Finite
Markov Chain . . . . . . . . . . . . . . 1260--1270
G. Sankaranarayanan Limit Distributions in the Theory of
Counters . . . . . . . . . . . . . . . . 1271--1285
Lajos Takács The Transient Behavior of a Single
Server Queuing Process with Recurrent
Input and Gamma Service Time . . . . . . 1286--1298
Charlotte T. Striebel Efficient Estimation of a Regression
Parameter for Certain Second Order
Processes . . . . . . . . . . . . . . . 1299--1313
J. F. C. Kingman Two Similar Queues in Parallel . . . . . 1314--1323
F. G. Foster and
K. M. Nyunt Queues with batch departures. I . . . . 1324--1332
Jack Karush On the Chapman--Kolmogorov equation . . 1333--1337
N. Donald Ylvisaker A Generalization of a Theorem of
Balakrishnan . . . . . . . . . . . . . . 1337--1339
M. Stone The Opinion Pool . . . . . . . . . . . . 1339--1342
Patrick Billingsley Corrections to ``Statistical Methods in
Markow Chains'' . . . . . . . . . . . . 1343--1343
H. A. David Corrections to ``A Conservative Property
of Binomial Tests'' . . . . . . . . . . 1343--1343
V. P. Godambe Acknowledgment of Priority . . . . . . . 1343--1344
N. L. Johnson Correction to ``A Proof of Wald's
Theorem on Cumulative Sums'' . . . . . . 1344--1344
C. G. Khatri Correction to ``On the Mutual
Independence of Certain Statistics'' . . 1344--1344
John R. Kinney Correction and Acknowledgment of
Priority to ``First Passage Times for a
Generalized Random Walk'' . . . . . . . 1345--1345
D. Teichroew Correction to ``Tables of Expected
Values of Order Statistics and Products
of Order Statistics for Samples of Size
Twenty and Less from the Normal
Distribution'' . . . . . . . . . . . . . 1345--1345
Anonymous Abstracts of Papers . . . . . . . . . . 1346--1352
Anonymous News and Notices . . . . . . . . . . . . 1353--1365
Anonymous Publications Received . . . . . . . . . 1365--1365
John W. Tukey The future of data analysis . . . . . . 1--67
Marek Fisz Infinitely Divisible Distributions:
Recent Results and Applications . . . . 68--84
Patrick Billingsley Limit Theorems for Randomly Selected
Partial Sums . . . . . . . . . . . . . . 85--92
Simeon M. Berman A Law of Large Numbers for the Maximum
in a Stationary Gaussian Sequence . . . 93--97
V. E. Bene\vs A ``Renewal'' Limit Theorem for General
Stochastic Processes . . . . . . . . . . 98--113
David A. Freedman Mixtures of Markov Processes . . . . . . 114--118
Harold Ruben Some Aspects of the
Emigration--Immigration Process . . . . 119--129
John R. Kinney A Transient Discrete Time Queue with
Finite Storage . . . . . . . . . . . . . 130--136
B. J. Flehinger A General Model for the Reliability
Analysis of Systems Under Various
Preventive Maintenance Policies . . . . 137--156
M. M. Siddiqui Approximations to the Moments of the
Sample Median . . . . . . . . . . . . . 157--168
K. S. Srikantan Recurrence Relations Between the PDF's
of Order Statistics, and Some
Applications . . . . . . . . . . . . . . 169--177
John Riordan Enumeration of Linear Graphs for
Mappings of Finite Sets . . . . . . . . 178--185
A. R. Kamat and
Y. S. Sathe Asymptotic Power of Certain Test
Criteria (Based on First and Second
Differences) for Serial Correlation
between Successive Observations . . . . 186--200
K. R. Gabriel Ante-dependence Analysis of an Ordered
Set of Variables . . . . . . . . . . . . 201--212
Bob E. Ellison A Classification Problem in which
Information about Alternative
Distributions is Based on Samples . . . 213--223
Gideon Schwarz Asymptotic Shapes of Bayes Sequential
Testing Regions . . . . . . . . . . . . 224--236
R. H. Farrell Bounded Length Confidence Intervals for
the Zero of a Regression Function . . . 237--247
Václav Fabian On Multiple Decision Methods for Ranking
Population Means . . . . . . . . . . . . 248--254
T. W. Anderson The Choice of the Degree of a Polynomial
Regression as a Multiple Decision
Problem . . . . . . . . . . . . . . . . 255--265
T. W. Anderson Least Squares and Best Unbiased
Estimates . . . . . . . . . . . . . . . 266--272
W. A. Thompson, Jr. The Problem of Negative Estimates of
Variance Components . . . . . . . . . . 273--289
Seymour Geisser and
Nathan Mantel Pairwise Independence of Jointly
Dependent Variables . . . . . . . . . . 290--291
John W. Pratt A Note on Unbiased Tests . . . . . . . . 292--294
Anonymous Abstracts of Papers . . . . . . . . . . 295--312
Anonymous Change in Reference Style . . . . . . . 313--314
Anonymous News and Notices . . . . . . . . . . . . 315--324
Anonymous Publications Received . . . . . . . . . 324--324
Tore Dalenius Recent Advances in Sample Survey Theory
and Methods . . . . . . . . . . . . . . 325--349
H. O. Hartley and
J. N. K. Rao Sampling with Unequal Probabilities and
without Replacement . . . . . . . . . . 350--374
Herman Chernoff The Scoring of Multiple Choice
Questionnaires . . . . . . . . . . . . . 375--393
E. S. Pearson Some Thoughts on Statistical Inference 394--403
M. H. DeGroot Uncertainty, Information, and Sequential
Experiments . . . . . . . . . . . . . . 404--419
T. W. Anderson and
R. R. Bahadur Classification into two Multivariate
Normal Distributions with Different
Covariance Matrices . . . . . . . . . . 420--431
S. N. Roy and
R. Gnanadesikan Two-Sample Comparisons of Dispersion
Matrices for Alternatives of
Intermediate Specificity . . . . . . . . 432--437
Edward Paulson A Sequential Procedure for Comparing
Several Experimental Categories with a
Standard or Control . . . . . . . . . . 438--443
W. R. Blischke Moment Estimators for the Parameters of
a Mixture of Two Binomial Distributions 444--454
Richard H. Jones Spectral Analysis with Regularly Missed
Observations . . . . . . . . . . . . . . 455--461
T. A. Magness and
J. B. McGuire Comparison of Least Squares and Minimum
Variance Estimates of Regression
Parameters . . . . . . . . . . . . . . . 462--470
Regina C. Elandt Exact and Approximate Power Function of
the Non-Parametric Test of Tendency . . 471--481
J. L. Hodges, Jr. and
E. L. Lehmann Rank Methods for Combination of
Independent Experiments in Analysis of
Variance . . . . . . . . . . . . . . . . 482--497
Jerome Klotz Nonparametric Tests for Scale . . . . . 498--512
Judah Rosenblatt Some Modified Kolmogorov--Smirnov Tests
of Approximate Hypotheses and their
Properties . . . . . . . . . . . . . . . 513--524
H. D. Brunk On the Range of the Difference between
Hypothetical Distribution Function and
Pyke's Modified Empirical Distribution
Function . . . . . . . . . . . . . . . . 525--532
S. G. Ghurye and
Ingram Olkin A Characterization of the Multivariate
Normal Distribution . . . . . . . . . . 533--541
Harold Ruben Probability Content of Regions Under
Spherical Normal Distributions, IV: The
Distribution of Homogeneous and
Non-Homogeneous Quadratic Functions of
Normal Variables . . . . . . . . . . . . 542--570
R. N. Curnow and
C. W. Dunnett The Numerical Evaluation of Certain
Multivariate Normal Integrals . . . . . 571--579
George J. Resnikoff Tables to Facilitate the Computation of
Percentage Points of the Non-Central
$t$-Distribution . . . . . . . . . . . . 580--586
C. B. Bell Mutual Information and Maximal
Correlation as Measures of Dependence 587--595
D. L. Burkholder On the Order Structure of the Set of
Sufficient Subfields . . . . . . . . . . 596--599
B. Kurkjian and
M. Zelen A Calculus for Factorial Arrangements 600--619
Damaraju Raghavarao Symmetrical Unequal Block Arrangements
with two Unequal Block Sizes . . . . . . 620--633
Robert Cogburn Conditional Probability Operators . . . 634--658
R. Ranga Rao Relations between Weak and Uniform
Convergence of Measures with
Applications . . . . . . . . . . . . . . 659--680
Simeon M. Berman An Extension of the Arc Sine Law . . . . 681--684
John Lamperti An Invariance Principle in Renewal
Theory . . . . . . . . . . . . . . . . . 685--696
M. M. Siddiqui Games Associated with a Renewal Process 697--701
P. E. Ney A Random Interval Filling Problem . . . 702--718
David Blackwell Discrete Dynamic Programming . . . . . . 719--726
Arthur Albert Estimating the Infinitesimal Generator
of a Continuous Time, Finite State
Markov Process . . . . . . . . . . . . . 727--753
Betty J. Flehinger A Markovian Model for the Analysis of
the Effects of Marginal Testing on
System Reliability . . . . . . . . . . . 754--766
J. Keilson and
A. Kooharian On the General Time Dependent Queue with
a Single Server . . . . . . . . . . . . 767--791
J. Kiefer Two More Criteria Equivalent to
$D$-Optimality of Designs . . . . . . . 792--796
Frank McNolty A Contour-Integral Derivation of the
Non-Central Chi-Square Distribution . . 796--800
C. G. Khatri A Characterization of the Inverse
Gaussian Distribution . . . . . . . . . 800--803
A. Joffe and
Jerome Klotz Null Distribution and Bahadur Efficiency
of the Hodges Bivariate Sign Test . . . 803--807
Judah Rosenblatt Note on Multivariate Goodness-of-fit
Tests . . . . . . . . . . . . . . . . . 807--810
Charles E. Antle The Uniqueness of the Spacing of
Observations in Polynomial Regression
for Minimax Variance of the Fitted
Values . . . . . . . . . . . . . . . . . 810--811
D. A. Darling Correction Notes: Correction to ``On a
class of Problems Related to the Random
Division of an Interval'' . . . . . . . 812--812
John W. Tukey Correction Notes: Correction to ``The
Future of Data Analysis'' . . . . . . . 812--812
John Gurland Correction Notes: Correction to
``Distribution of Definite and of
Indefinite Quadratic Forms'' . . . . . . 813--813
Anonymous Abstracts of Papers . . . . . . . . . . 814--833
Anonymous Correction to Abstract . . . . . . . . . 833--833
Anonymous Change in Reference Style . . . . . . . 834--835
Anonymous News and Notices . . . . . . . . . . . . 836--846
Dorian Feldman Contributions to the ``Two-Armed
Bandit'' Problem . . . . . . . . . . . . 847--856
R. Radner Team Decision Problems . . . . . . . . . 857--881
David Blackwell and
Lester Dubins Merging of Opinions with Increasing
Information . . . . . . . . . . . . . . 882--886
D. L. Burkholder Successive Conditional Expectations of
an Integrable Function . . . . . . . . . 887--893
Simeon M. Berman Limiting Distribution of the Maximum
Term in Sequences of Dependent Random
Variables . . . . . . . . . . . . . . . 894--908
Glen Baxter On a Generalization of the Finite
Arcsine Law . . . . . . . . . . . . . . 909--915
David A. Freedman Invariants Under Mixing which Generalize
de Finetti's Theorem . . . . . . . . . . 916--923
David A. Freedman Poisson Processes with Random Arrival
Rate . . . . . . . . . . . . . . . . . . 924--929
John J. Birch Approximations for the Entropy for
Functions of Markov Chains . . . . . . . 930--938
G. A. Watterson Some Theoretical Aspects of Diffusion
Theory in Population Genetics . . . . . 939--957
E. N. Gilbert Random Subdivisions of Space into
Crystals . . . . . . . . . . . . . . . . 958--972
P. D. Finch On the Transient Behavior of a Queueing
System with Bulk Service and Finite
Capacity . . . . . . . . . . . . . . . . 973--985
Thomas S. Ferguson Location and Scale Parameters in
Exponential Families of Distributions 986--1001
C. G. Khatri Conditions for Wishartness and
Independence of Second Degree
Polynomials in a Normal Vector . . . . . 1002--1007
K. V. Mardia Multivariate Pareto Distributions . . . 1008--1015
W. T. Wells and
R. L. Anderson and
John W. Cell The Distribution of the Product of Two
Central or Non-Central Chi-Square
Variates . . . . . . . . . . . . . . . . 1016--1020
Beno\^\it Mandelbrot The Role of Sufficiency and of
Estimation in Thermodynamics . . . . . . 1021--1038
Shoutir Kishore Chatterjee Sequential Inference Procedures of
Stein's Type for a Class of Multivariate
Regression Problems . . . . . . . . . . 1039--1064
Emanuel Parzen On Estimation of a Probability Density
Function and Mode . . . . . . . . . . . 1065--1076
N. Donald Ylvisaker On Linear Estimation for Regression
Problems on Time Series . . . . . . . . 1077--1084
J. P. Imhof Testing the Hypothesis of no Fixed
Main-Effects in Scheffé's Mixed Model . . 1085--1095
Bruce Marvin Hill A Test of Linearity Versus Convexity of
a Median Regression Curve . . . . . . . 1096--1123
Jaroslav Hájek Asymptotically Most Powerful Rank-Order
Tests . . . . . . . . . . . . . . . . . 1124--1147
T. W. Anderson On the Distribution of the Two-Sample
Cramér--von Mises Criterion . . . . . . . 1148--1159
Herbert T. David The Sample Mean Among the Moderate Order
Statistics . . . . . . . . . . . . . . . 1160--1166
John E. Walsh Distribution-Free Tolerance Intervals
for Continuous Symmetrical Populations 1167--1174
D. K. Ray-Chaudhuri Application of the Geometry of Quadrics
for Constructing PBIB Designs . . . . . 1175--1186
E. W. Stacy A Generalization of the Gamma
Distribution . . . . . . . . . . . . . . 1187--1192
Kulendra N. Majindar Improved Bounds on a Measure of Skewness 1192--1194
Lincoln E. Moses Use of Wilcoxon Test Theory in
Estimating the Distribution of a Ratio
by Monte Carlo Methods . . . . . . . . . 1194--1197
D. G. Kabe On the Exact Distribution of a Class of
Multivariate Test Criteria . . . . . . . 1197--1200
Kulendra N. Majindar On the Parameters and Intersection of
Blocks of Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 1200--1205
Anonymous Abstracts of Papers . . . . . . . . . . 1206--1212
Anonymous Change in Reference Style . . . . . . . 1213--1214
Anonymous News and Notices . . . . . . . . . . . . 1215--1226
Harald Cramér A. I. Khinchin's work in mathematical
probability . . . . . . . . . . . . . . 1227--1237
B. Ramachandran On the Order and the Type of Entire
Characteristic Functions . . . . . . . . 1238--1255
Thomas S. Ferguson A Representation of the Symmetric
Bivariate Cauchy Distribution . . . . . 1256--1266
M. V. Menon A Characterization of the Cauchy
Distribution . . . . . . . . . . . . . . 1267--1271
Ingram Olkin and
Herman Rubin A Characterization of the Wishart
Distribution . . . . . . . . . . . . . . 1272--1280
J. R. McGregor and
Y. Y. Hui Limiting Distributions Associated with
Certain Stochastic Learning Models . . . 1281--1285
D. B. Owen and
G. P. Steck Moments of Order Statistics from the
Equicorrelated Multivariate Normal
Distribution . . . . . . . . . . . . . . 1286--1291
Zakkula Govindarajulu Exact Lower Moments of Order Statistics
in Samples from the Chi-Distribution
($1$ d.f.) . . . . . . . . . . . . . . . 1292--1305
G. F. Newell and
M. Rosenblatt Zero Crossing Probabilities for Gaussian
Stationary Processes . . . . . . . . . . 1306--1313
Julian Keilson Queues Subject to Service Interruption 1314--1322
R. M. Loynes Stationary Waiting-Time Distributions
for Single-Server Queues . . . . . . . . 1323--1339
Lajos Takács The Time Dependence of a Single-Server
Queue with Poisson Input and General
Service Times . . . . . . . . . . . . . 1340--1348
David R. Brillinger Examples Bearing on the Definition of
Fiducial Probability with a Bibliography 1349--1355
Judah Rosenblatt Testing Approximate Hypotheses in the
Composite Case . . . . . . . . . . . . . 1356--1364
P. K. Bhattacharya Some Properties of the Least Squares
Estimator in Regression Analysis when
the Predictor Variables are Stochastic 1365--1374
I. M. Chakravarti and
F. C. Leone and
J. D. Alanen Asymptotic Relative Efficiency of Mood's
and Massey's Two Sample Tests Against
Some Parametric Alternatives . . . . . . 1375--1383
J. A. Lechner Optimum Decision Procedures for a
Poisson Process Parameter . . . . . . . 1384--1402
Rosalie C. Woodall and
Badrig M. Kurkjian Exact Operating Characteristic for
Truncated Sequential Life Tests in the
Exponential Case . . . . . . . . . . . . 1403--1412
R. H. Appleby and
R. J. Freund An Empirical Evaluation of Multivariate
Sequential Procedure for Testing Means 1413--1420
M. N. Das and
V. L. Narasimham Construction of Rotatable Designs
Through Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 1421--1439
M. S. Patel On Constructing the Fractional
Replicates of the $ 2^m $ Designs with
Blocks . . . . . . . . . . . . . . . . . 1440--1449
Meyer Dwass A Fluctuation Theorem for Cyclic Random
Variables . . . . . . . . . . . . . . . 1450--1454
Bernard Harris Determining Bounds on Expected Values of
Certain Functions . . . . . . . . . . . 1454--1457
K. C. Chanda On Bounds of Serial Correlations . . . . 1457--1460
Donald F. Morrison On the Distribution of Sums of Squares
and Cross Products of Normal Variates in
the Presence of Intra-class Correlation 1461--1463
Wadie F. Mikhail On a Property of a Test for the Equality
of Two Normal Dispersion Matrices
Against One-sided Alternatives . . . . . 1463--1465
Somesh Das Gupta Correction Notes: Correction to Abstract
of ``Optimal Classification Rules'':
Abstracts of Papers . . . . . . . . . . 1466--1466
G. Sankaranarayanan Correction Notes: Correction to ``Limit
Distributions in the Theory of
Counters'' . . . . . . . . . . . . . . . 1466--1466
Wassily Hoeffding Review: Samuel S. Wilks,
\booktitleMathematical Statistics . . . 1467--1473
D. R. Cox Review: Samuel S. Wilks,
\booktitleMathematical Statistics . . . 1473--1476
John Riordan Review: F. N. David, D. E. Barton,
\booktitleCombinatorial Chance . . . . . 1477--1479
Anonymous Abstracts of Papers . . . . . . . . . . 1480--1506
Anonymous News and Notices . . . . . . . . . . . . 1507--1527
D. L. Burkholder and
R. A. Wijsman Optimum Properties and Admissibility of
Sequential Tests . . . . . . . . . . . . 1--17
Theodore K. Matthes On the Optimality of Sequential
Probability Ratio Tests . . . . . . . . 18--21
Piotr Witold Mikulski On the Efficiency of Optimal
Nonparametric Procedures in the Two
Sample Case . . . . . . . . . . . . . . 22--32
Herbert T. David The Sample Mean Among the Extreme Normal
Order Statistics . . . . . . . . . . . . 33--55
Ruth Z. Gold Tests Auxiliary to $ \chi^2 $ Tests in a
Markov Chain . . . . . . . . . . . . . . 56--74
B. J. Trawinski and
H. A. David Selection of the Best Treatment in a
Paired-Comparison Experiment . . . . . . 75--91
Peter J. Huber A Remark on a Paper of Trawinski and
David Entitled: ``Selection of the Best
Treatment in a paired-Comparison
Experiment'' . . . . . . . . . . . . . . 92--94
E. J. Burr Distribution of the Two-Sample
Cramér--von Mises Criterion for Small
Equal Samples . . . . . . . . . . . . . 95--101
A. E. Sarhan and
B. G. Greenberg and
Junjiro Ogawa Simplified Estimates for the Exponential
Distribution . . . . . . . . . . . . . . 102--116
M. M. Siddiqui Optimum Estimators of the Parameters of
Negative Exponential Distributions from
One or Two Order Statistics . . . . . . 117--121
T. W. Anderson Asymptotic Theory for Principal
Component Analysis . . . . . . . . . . . 122--148
D. N. Lawley On Testing a Set of Correlation
Coefficients for Equality . . . . . . . 149--151
N. R. Goodman Statistical Analysis Based on a Certain
Multivariate Complex Gaussian
Distribution (An Introduction) . . . . . 152--177
N. R. Goodman The Distribution of the Determinant of a
Complex Wishart Distributed Matrix . . . 178--180
D. G. Kabe Some Results on the Distribution of Two
Random Matrices Used in Classification
Procedures . . . . . . . . . . . . . . . 181--185
B. K. Shah Distribution of Definite and of
Indefinite Quadratic Forms from a
Non-Central Normal Distribution . . . . 186--190
Ralph Hoyt Bacon Approximations to Multivariate Normal
Orthant Probabilities . . . . . . . . . 191--198
F. J. Anscombe and
R. J. Aumann A Definition of Subjective Probability 199--205
John Lamperti On a Class of Stochastic Processes . . . 206--212
Richard H. Jones Stochastic Processes on a Sphere . . . . 213--218
Leonard E. Baum On Convergence to + $ \infty $ in the
Law of Large Numbers . . . . . . . . . . 219--222
D. Blackwell and
C. Ryll-Nardzewski Non-Existence of Everywhere Proper
Conditional Distributions . . . . . . . 223--225
Thomas A. Brown Entropy and Conjugacy . . . . . . . . . 226--232
Jack Hachigian Collapsed Markov Chains and the
Chapman--Kolmogorov Equation . . . . . . 233--237
Harold Ruben The Estimation of a Fundamental
Interaction Parameter in an
Emigration--Immigration Process . . . . 238--259
A. Joffe and
P. E. Ney Convergence Theorems for Multiple
Channel Loss Probabilities . . . . . . . 260--273
Bernt P. Stigum Dynamic Stochastic Processes . . . . . . 274--283
Arthur Albert A Mathematical Theory of Pattern
Recognition . . . . . . . . . . . . . . 284--299
Gregory E. Masterson and
Seymour Sherman On Queues in Tandem . . . . . . . . . . 300--307
Leo Breiman The Poisson Tendency in Traffic
Distribution . . . . . . . . . . . . . . 308--311
Melvin L. Katz The Probability in the Tail of a
Distribution . . . . . . . . . . . . . . 312--318
James H. Stapleton A Characterization of the Uniform
Distribution on a Compact Topological
Group . . . . . . . . . . . . . . . . . 319--326
J. R. Kinney The Convex Hull of Plane Brownian Motion 327--329
T. S. Pitcher On the Sample Functions of Processes
which Can be Added to a Gaussian Process 329--333
H. W. Gould Note on Two Binomial Coefficient Sums
Found by Riordan . . . . . . . . . . . . 333--335
R. S. Pinkham and
M. B. Wilk Tail Areas of the $t$-Distribution from
a Mills'-Ratio-Like Expansion . . . . . 335--337
A. J. Thomasian A Finite Criterion for Indecomposable
Channels . . . . . . . . . . . . . . . . 337--338
Edgar Reich Note on Queues in Tandem . . . . . . . . 338--341
David R. Brillinger A Note on the Re-Use of Samples . . . . 341--343
Shmuel Friedman On Stochastic Approximations . . . . . . 343--346
William Knight The Use of the Range in Place of the
Standard Deviation in Stein's Test . . . 346--347
Esther Seiden On Necessary Conditions for the
Existence of Some Symmetrical and
Unsymmetrical Triangular \bf PBIB
Designs and \bf BIB Designs . . . . . . 348--351
T. A. Magness and
J. B. McGuire Acknowledgment of Priority: ``Comparison
of Least Squares and Minimum Variance
Estimates of Regression Parameters'' . . 352--352
G. A. Watterson Correction to ``Some Theoretical Aspects
of Diffusion Theory in Population
Genetics'' . . . . . . . . . . . . . . . 352--352
H. A. David Review: J. Arthur Greenwood, H. O.
Hartley, \booktitleGuide to Tables in
Mathematical Statistics . . . . . . . . 353--354
Anonymous Abstracts of Papers . . . . . . . . . . 355--358
Anonymous News and Notices . . . . . . . . . . . . 359--374
Anonymous Publications Received . . . . . . . . . 374--374
Richard E. Barlow and
Albert W. Marshall and
Frank Proschan Properties of Probability Distributions
with Monotone Hazard Rate . . . . . . . 375--389
Y. S. Chow and
Herbert Robbins A Renewal Theorem for Random Variables
which are Dependent or Non-Identically
Distributed . . . . . . . . . . . . . . 390--395
M. V. Johns, Jr. and
R. G. Miller, Jr. Average Renewal Loss Rates . . . . . . . 396--401
Charles Hobby and
Ronald Pyke Combinatorial Results in
Multi-dimensional Fluctuation Theory . . 402--404
G. Lehner One Dimensional Random Walk with a
Partially Reflecting Barrier . . . . . . 405--412
J. R. Blum and
D. L. Hanson and
S. V. Parter On a Class of Simple Random Walks . . . 413--415
Simeon M. Berman A Markov Process on Binary Numbers . . . 416--423
Frederick J. Beutler Multivariate Wide-sense Markov Processes
and Prediction Theory . . . . . . . . . 424--438
F. Eicker Central Limit Theorems for Families of
Sequences of Random Variables . . . . . 439--446
F. Eicker Asymptotic Normality and Consistency of
the Least Squares Estimators for
Families of Linear Regressions . . . . . 447--456
P. E. Ney The Limit of a Ratio of Convolutions . . 457--461
Harold J. Larson and
T. A. Bancroft Sequential Model Building for Prediction
in Regression Analysis, I . . . . . . . 462--479
G. S. Watson and
M. R. Leadbetter On the Estimation of the Probability
Density, I . . . . . . . . . . . . . . . 480--491
David R. Brillinger Necessary and Sufficient Conditions for
a Statistical Problem to be Invariant
Under a Lie Group . . . . . . . . . . . 492--500
Hans Bühlmann and
Peter J. Huber Pairwise Comparison and Ranking in
Tournaments . . . . . . . . . . . . . . 501--510
Peter J. Huber Pairwise Comparison and Ranking: Optimum
Properties of the Row Sum Procedure . . 511--520
D. M. Mahamunulu Sampling Variances of the Estimates of
Variance Components in the Unbalanced
$3$-way Nested Classification . . . . . 521--527
A. J. Hoffman On the Duals of Symmetric
Partially-Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 528--531
H. O. Lancaster Correlations and Canonical Forms of
Bivariate Distributions . . . . . . . . 532--538
M. Skibinsky and
L. Cote On the Inadmissibility of Some Standard
Estimates in the Presence of Prior
Information . . . . . . . . . . . . . . 539--548
Edward Paulson A Sequential Decision Procedure for
Choosing One of $k$ Hypotheses
Concerning the Unknown Mean of a Normal
Distribution . . . . . . . . . . . . . . 549--554
J. N. Darroch and
S. D. Silvey On Testing More than One Hypothesis . . 555--567
M. Stone The posterior $t$ distribution . . . . . 568--573
John W. Pratt Shorter Confidence Intervals for the
Mean of a Normal Distribution with Known
Variance . . . . . . . . . . . . . . . . 574--586
Sakti P. Ghosh Post Cluster Sampling . . . . . . . . . 587--597
J. L. Hodges, Jr. and
E. L. Lehmann Estimates of Location Based on Rank
Tests . . . . . . . . . . . . . . . . . 598--611
K. C. Chanda On the Efficiency of Two-sample
Mann--Whitney Test for Discrete
Populations . . . . . . . . . . . . . . 612--617
Judah Rosenblatt Tests and Confidence Intervals Based on
the Metric $ d_2 $ . . . . . . . . . . . 618--623
Jerome Klotz Small Sample Power and Efficiency for
the One Sample Wilcoxon and Normal
Scores Tests . . . . . . . . . . . . . . 624--632
Zakkula Govindarajulu On Moments of Order Statistics and
Quasi-ranges from Normal Populations . . 633--651
Andre G. Laurent Conditional Distribution of Order
Statistics and Distribution of the
Reduced $i$ th Order Statistic of the
Exponential Model . . . . . . . . . . . 652--657
Allan Birnbaum and
Jack Dudman Logistic Order Statistics . . . . . . . 658--663
J. W. Moon On the Line-Graph of the Complete
Bigraph . . . . . . . . . . . . . . . . 664--667
Richard Isaac A General Version of Doeblin's Condition 668--671
T. W. Anderson A Test for Equality of Means when
Covariance Matrices are Unequal . . . . 671--672
Judah Rosenblatt Correction Notes: Correction to
``Testing Approximate Hypotheses in the
Composite Case'' . . . . . . . . . . . . 673--673
B. K. Shah and
C. G. Khatri Correction Notes: Correction to
``Distribution of a Definite Quadratic
Form for Non-central Normal Variates'' 673--673
George Hadley Review: Kenneth J. Arrow, Samuel Karlin,
Herbert Scarf, \booktitleStudies in
Applied Probability and Management
Science . . . . . . . . . . . . . . . . 674--677
Anonymous Abstracts of Papers . . . . . . . . . . 678--695
Anonymous News and Notices . . . . . . . . . . . . 696--704
J. Kiefer and
J. Sacks Asymptotically Optimum Sequential
Inference and Design . . . . . . . . . . 705--750
Jerome Sacks Generalized Bayes Solutions in
Estimation Problems . . . . . . . . . . 751--768
S. Zacks On a Complete Class of Linear Unbiased
Estimators for Randomized Factorial
Experiments . . . . . . . . . . . . . . 769--779
S. Ehrenfeld and
S. Zacks Optimal Strategies in Factorial
Experiments . . . . . . . . . . . . . . 780--791
Shanti S. Gupta Probability Integrals of Multivariate
Normal and Multivariate $t$ . . . . . . 792--828
Shanti S. Gupta Bibliography on the Multivariate Normal
Integrals and Related Topics . . . . . . 829--838
M. H. DeGroot and
M. M. Rao Bayes Estimation with Convex Loss . . . 839--846
Sam C. Saunders On the Sample Size and Coverage for the
Ji\vrina Sequential Procedure . . . . . 847--856
Sam C. Saunders Some Applications of the Ji\vrina
Sequential Procedure to Observations
with Trend . . . . . . . . . . . . . . . 857--865
S. P. Ghosh Optimum Stratification with Two
Characters . . . . . . . . . . . . . . . 866--872
A. P. Dempster Multivariate Theory for General Stepwise
Methods . . . . . . . . . . . . . . . . 873--883
A. P. Dempster Further Examples of Inconsistencies in
the Fiducial Argument . . . . . . . . . 884--891
W. D. Ray and
A. E. N. T. Pitman Chebyshev Polynomial and Other New
Approximations to Mills' Ratio . . . . . 892--902
L. E. Blumenson and
K. S. Miller Properties of Generalized Rayleigh
Distributions . . . . . . . . . . . . . 903--910
I. J. Good Maximum Entropy for Hypothesis
Formulation, Especially for
Multidimensional Contingency Tables . . 911--934
Robert V. Hogg On the Independence of Certain Wishart
Variables . . . . . . . . . . . . . . . 935--939
G. M. Tallis Elliptical and Radial Truncation in
Normal Populations . . . . . . . . . . . 940--944
V. J. Chacko Testing Homogeneity Against Ordered
Alternatives . . . . . . . . . . . . . . 945--956
E. L. Lehmann Robust Estimation in Analysis of
Variance . . . . . . . . . . . . . . . . 957--966
Morris W. Katz Estimating Ordered Probabilities . . . . 967--972
Lincoln E. Moses Rank Tests of Dispersion . . . . . . . . 973--983
Gene H. Golub Comparison of the Variance of Minimum
Variance and Weighted Least Squares
Regression Coefficients . . . . . . . . 984--991
Ole Barndorff-Nielsen On the Limit Behaviour of Extreme Order
Statistics . . . . . . . . . . . . . . . 992--1002
Julian Keilson The First Passage Time Density for
Homogeneous Skip-free Walks on the
Continuum . . . . . . . . . . . . . . . 1003--1011
V. K. Murthy Estimation of the Cross-Spectrum . . . . 1012--1021
S. W. Dharmadhikari Functions of Finite Markov Chains . . . 1022--1032
S. W. Dharmadhikari Sufficient Conditions for a Stationary
Process to be a Function of a Finite
Markov Chain . . . . . . . . . . . . . . 1033--1041
Leonard E. Baum and
Melvin L. Katz On the Influence of Moments on the
Asymptotic Distribution of Sums of
Random Variables . . . . . . . . . . . . 1042--1044
A. M. Hasofer On the Integrability, Continuity and
Differentiability of a Family of
Functions Introduced by L. Takacs . . . 1045--1049
G. P. Patil Minimum Variance Unbiased Estimation and
Certain Problems of Additive Number
Theory . . . . . . . . . . . . . . . . . 1050--1056
Suresh K. Tharthare Right Angular Designs . . . . . . . . . 1057--1067
K. S. Banerjee and
W. T. Federer On Estimates for Fractions of a Complete
Factorial Experiment as Orthogonal
Linear Combinations of the Observations 1068--1078
Ester Samuel Asymptotic Solutions of the Sequential
Compound Decision Problem . . . . . . . 1079--1094
Ester Samuel Note on a Sequential Classification
Problem . . . . . . . . . . . . . . . . 1095--1097
R. J. Buehler and
A. P. Feddersen Note on a conditional property of
Student's $t$ . . . . . . . . . . . . . 1098--1100
Ryoji Tamura On a Modification of Certain Rank Tests 1101--1103
Simeon M. Berman Note on Extreme Values, Competing Risks
and Semi-Markov Processes . . . . . . . 1104--1106
Melvin L. Katz Note on the Berry--Esseen theorem . . . 1107--1108
D. Kerridge Bounds for the Frequency of Misleading
Bayes Inferences . . . . . . . . . . . . 1109--1110
Leonard E. Baum Acknowledgment of Priority: ``On
Convergence to $ + \infty $ in the Law
of Large Numbers'' . . . . . . . . . . . 1111--1111
Anonymous Abstracts of Papers . . . . . . . . . . 1112--1132
Anonymous News and Notices . . . . . . . . . . . . 1133--1146
Anonymous Publications Received . . . . . . . . . 1146--1146
Meyer Dwass and
Samuel Karlin Conditioned Limit Theorems . . . . . . . 1147--1167
J. H. B. Kemperman A Wiener--Hopf Type Method for a General
Random Walk with a Two-Sided Boundary 1168--1193
David A. Freedman Invariants Under Mixing Which Generalize
de Finetti's Theorem: Continuous Time
Parameter . . . . . . . . . . . . . . . 1194--1216
J. F. C. Kingman Poisson Counts for Random Sequences of
Events . . . . . . . . . . . . . . . . . 1217--1232
Charles Hobby and
Ronald Pyke Combinatorial Results in Fluctuation
Theory . . . . . . . . . . . . . . . . . 1233--1242
David L. Jagerman The autocorrelation function of a
sequence uniformly distributed modulo
$1$ . . . . . . . . . . . . . . . . . . 1243--1252
Calvin C. Moore The Degree of Randomness in a Stationary
Time Series . . . . . . . . . . . . . . 1253--1258
Joel N. Franklin The Covariance Matrix of a Continuous
Autoregressive Vector Time-Series . . . 1259--1264
Henry Teicher Identifiability of Finite Mixtures . . . 1265--1269
A. G. Constantine Some Non-Central Distribution Problems
in Multivariate Analysis . . . . . . . . 1270--1285
Masashi Okamoto An Asymptotic Expansion for the
Distribution of the Linear Discriminant
Function . . . . . . . . . . . . . . . . 1286--1301
K. C. Chanda Asymptotic Expansions for a Class of
Distribution Functions . . . . . . . . . 1302--1307
A. Reitsma On Approximations to Sampling
Distributions of the Mean for Samples
From Non-Normal Populations . . . . . . 1308--1314
H. O. Lancaster Correlation and Complete Dependence of
Random Variables . . . . . . . . . . . . 1315--1321
David H. Evans Multiplex Sampling . . . . . . . . . . . 1322--1346
Robert P. Abelson and
John W. Tukey Efficient utilization of non-numerical
information in quantitative analysis:
General theory and the case of simple
order . . . . . . . . . . . . . . . . . 1347--1369
Ester Samuel An Empirical Bayes Approach to the
Testing of Certain Parametric Hypotheses 1370--1385
David A. Freedman On the Asymptotic Behavior of Bayes'
Estimates in the Discrete Case . . . . . 1386--1403
Sigmund J. Amster A Modified Bayes Stopping Rule . . . . . 1404--1413
A. P. Dempster On a Paradox Concerning Inference About
a Covariance Matrix . . . . . . . . . . 1414--1418
Gunnar Kulldorff Estimation of One or Two Parameters of
the Exponential Distribution on the
Basis of Suitably Chosen Order
Statistics . . . . . . . . . . . . . . . 1419--1431
Earl L. Diamond The Limiting Power of Categorical Data
Chi-Square Tests Analogous to Normal
Analysis of Variance . . . . . . . . . . 1432--1441
Constance Van Eeden The Relation Between Pitman's Asymptotic
Relative Efficiency of Two Tests and the
Correlation Coefficient Between Their
Test Statistics . . . . . . . . . . . . 1442--1451
J. R. Blum and
Judah Rosenblatt On Multistage Estimation . . . . . . . . 1452--1458
P. K. Bhattacharya On an Analog of Regression Analysis . . 1459--1473
Rajinder Singh Existence of Bounded Length Confidence
Intervals . . . . . . . . . . . . . . . 1474--1485
Charles DeWitt Roberts An Asymptotically Optimal Sequential
Design for Comparing Several
Experimental Categories with a Control 1486--1493
E. L. Lehmann Asymptotically Nonparametric Inference:
An Alternative Approach to Linear Models 1494--1506
E. L. Lehmann Nonparametric Confidence Intervals for a
Shift Parameter . . . . . . . . . . . . 1507--1512
Saul Blumenthal The Asymptotic Normality of Two Test
Statistics Associated with the
Two-Sample Problem . . . . . . . . . . . 1513--1523
N. Giri and
J. Kiefer and
C. Stein Minimax Character of Hotelling's $ T^2 $
Test in the Simplest Case . . . . . . . 1524--1535
Tjoe-Tie Teh Minimax Theorems on Conditionally
Compact Sets . . . . . . . . . . . . . . 1536--1540
R. A. Wijsman Existence, Uniqueness and Monotonicity
of Sequential Probability Ratio Tests 1541--1548
Laurence Herbst Almost Periodic Variances . . . . . . . 1549--1557
Junjiro Ogawa On the Null-Distribution of the
$F$-Statistic in a Randomized Balanced
Incomplete Block Design Under the Neyman
Model . . . . . . . . . . . . . . . . . 1558--1568
George Zyskind Some Consequences of randomization in a
Generalization of the Balanced
Incomplete Block Design . . . . . . . . 1569--1581
Harold Ruben A New Result on the Distribution of
Quadratic Forms . . . . . . . . . . . . 1582--1584
W. S. Connor The Conditional Distribution of Sets of
Tests on a System Simulated From Tests
on its Components . . . . . . . . . . . 1585--1587
R. M. Phatarfod Application of Methods in Sequential
Analysis to Dam Theory . . . . . . . . . 1588--1592
J. Hannan and
W. Harkness Normal Approximation to the Distribution
of Two Independent Binomials,
Conditional on Fixed Sum . . . . . . . . 1593--1595
Richard F. Potthoff Use of the Wilcoxon Statistic for a
Generalized Behrens--Fisher Problem . . 1596--1599
R. L. Graham A Combinatorial Theorem for Partial Sums 1600--1602
Thomas S. Ferguson Correction Notes: Correction to
``Location and Scale Parameters in
Exponential Families of Distributions'' 1603--1603
K. V. Mardia Correction Notes: Correction to
``Multivariate Pareto Distributions'' 1603--1603
Ronald Pyke Review: E. B. Dynkin, D. E. Brown,
\booktitleTheory of Markov Processes; E.
B. Dynkin, Joseph Wloka, \booktitleDie
Grundlagen der Theorie der Markoffschen
Prozesse . . . . . . . . . . . . . . . . 1604--1609
V. E. Benes Review: Thomas L. Saaty, Elements of
Queueing Theory, \booktitlewith
Applications . . . . . . . . . . . . . . 1610--1612
Albert Madansky Review: Marvin Zelen,
\booktitleStatistical Theory of
Reliability . . . . . . . . . . . . . . 1613--1614
Anonymous Abstracts of Papers . . . . . . . . . . 1615--1629
Anonymous News and Notices . . . . . . . . . . . . 1630--1659
Anonymous Publications Received . . . . . . . . . 1659--1659
Herbert Robbins The Empirical Bayes Approach to
Statistical Decision Problems . . . . . 1--20
N. Giri and
J. Kiefer Local and Asymptotic Minimax Properties
of Multivariate Tests . . . . . . . . . 21--35
R. H. Farrell Asymptotic Behavior of Expected Sample
Size in Certain One Sided Tests . . . . 36--72
Peter J. Huber Robust Estimation of a Location
Parameter . . . . . . . . . . . . . . . 73--101
Madan Lal Puri Asymptotic efficiency of a class of
$c$-sample tests . . . . . . . . . . . . 102--121
K. L. Mehra Rank Tests for Paired-Comparison
Experiments Involving Several Treatments 122--137
S. Bhuchongkul A Class of Nonparametric Tests for
Independence in Bivariate Populations 138--149
C. B. Bell Some Basic Theorems of Distribution-Free
Statistics . . . . . . . . . . . . . . . 150--156
Leo Breiman and
Lucien Le Cam and
Lorraine Schwartz Consistent Estimates and Zero-One Sets 157--161
John Breakwell and
Herman Chernoff Sequential Tests for the Mean of a
Normal Distribution II (Large $t$) . . . 162--173
Edward Paulson A Sequential Procedure for Selecting the
Population with the Largest Mean from
$k$ Normal Populations . . . . . . . . . 174--180
N. Giri On the Likelihood Ratio Test of a Normal
Multivariate Testing Problem . . . . . . 181--189
A. P. Dempster Tests for the Equality of Two Covariance
Matrices in Relation to a Best Linear
Discriminator Analysis . . . . . . . . . 190--199
S. Das Gupta and
T. W. Anderson and
G. S. Mudholkar Monotonicity of the Power Functions of
Some Tests of the Multivariate Linear
Hypothesis . . . . . . . . . . . . . . . 200--205
T. W. Anderson and
S. Das Gupta Monotonicity of the Power Functions of
Some Tests of Independence between Two
Sets of Variates . . . . . . . . . . . . 206--208
A. P. Basu Effect of Truncation on a Test for the
Scale Parameter of the Exponential
Distribution . . . . . . . . . . . . . . 209--213
John Ross and
R. A. Weitzman The Twenty-Seven Per Cent Rule . . . . . 214--221
P. K. Pathak On Sampling Schemes Providing Unbiased
Ratio Estimators . . . . . . . . . . . . 222--231
William C. Guenther and
Paul J. Terragno A Review of the Literature on a Class of
Coverage Problems . . . . . . . . . . . 232--260
Ingram Olkin and
Herman Rubin Multivariate Beta Distributions and
Independence Properties of the Wishart
Distribution . . . . . . . . . . . . . . 261--269
Elliot A. Tanis Linear Forms in the Order Statistics
from an Exponential Distribution . . . . 270--276
Samuel Kotz and
John W. Adams Distribution of Sum of Identically
Distributed Exponentially Correlated
Gamma-Variables . . . . . . . . . . . . 277--283
E. Williamson and
M. H. Bretherton Tables of the Logarithmic Series
Distribution . . . . . . . . . . . . . . 284--297
D. Hogben and
R. S. Pinkham and
M. B. Wilk The Moments of a Variate Related to the
Non-Central $t$ . . . . . . . . . . . . 298--314
D. Hogben and
R. S. Pinkham and
M. B. Wilk An Approximation to the Distribution of
$Q$ (A Variate Related to the
Non-Central $t$) . . . . . . . . . . . . 315--318
Simeon M. Berman Limiting Distribution of the Maximum of
a Diffusion Process . . . . . . . . . . 319--329
Howard G. Tucker On Continuous Singular Infinitely
Divisible Distribution Functions . . . . 330--335
Kenneth Berk An Evaluation of a Functional on
Infinitely Divisible Stochastic
Processes . . . . . . . . . . . . . . . 336--340
Cyrus Derman On Sequential Control Processes . . . . 341--349
Donald L. Iglehart Multivariate Competition Processes . . . 350--361
N. Donald Ylvisaker Lower Bounds for Minimum Covariance
Matrices in Time Series Regression
Problems . . . . . . . . . . . . . . . . 362--368
John Riordan The Enumeration of Election Returns by
Number of Lead Positions . . . . . . . . 369--379
J. N. Darroch On the Traffic-light Queue . . . . . . . 380--388
D. Raghavarao and
K. Chandrasekhara Rao Cubic Designs . . . . . . . . . . . . . 389--397
S. M. Shah An Upper Bound for the Number of
Disjoint Blocks in Certain PBIB Designs 398--407
R. C. Bose and
J. N. Srivastava On a Bound Useful in the Theory of
Factorial Designs and Error Correcting
Codes . . . . . . . . . . . . . . . . . 408--414
P. M. Lee On the Axioms of Information Theory . . 415--418
L. A. Shepp A Local Limit Theorem . . . . . . . . . 419--423
L. A. Shepp A Limit Law Concerning Moving Averages 424--428
S. W. Dharmadhikari Exchangeable Processes which are
Functions of Stationary Markov Chains 429--430
Marcel F. Neuts Generating Functions for Markov Renewal
Processes . . . . . . . . . . . . . . . 431--434
Charles Henry Johnson and
John Leroy Folks A Property of the Method of Steepest
Ascent . . . . . . . . . . . . . . . . . 435--437
Franklin A. Graybill and
Terrence L. Connell Sample Size Required for Estimating the
Variance Within $d$ Units of the True
Value . . . . . . . . . . . . . . . . . 438--440
Dennis C. Gilliland A Note on the Maximization of a
Non-central Chi-Square Probability . . . 441--442
M. F. Smiley The Spectral Theorem for Finite Matrices
and Cochran's Theorem . . . . . . . . . 443--444
Agnes M. Herzberg Two Third Order Rotatable Designs in
Four Dimensions . . . . . . . . . . . . 445--446
Oystein Ore Review: F. N. David, Games,
\booktitleGods and Gambling. The Origins
and History of Probability and
Statistical Ideas from the Earliest
Times to the Newtonian Era . . . . . . . 447--447
C. Derman Review: D. R. Cox, \booktitleRenewal
Theory . . . . . . . . . . . . . . . . . 448--449
Rupert G. Miller Review: Lajos Takacs,
\booktitleIntroduction to the Theory of
Queues . . . . . . . . . . . . . . . . . 450--453
Anonymous Abstracts of Papers . . . . . . . . . . 454--462
Anonymous News and Notices . . . . . . . . . . . . 463--474
Anonymous Publications Received . . . . . . . . . 474--474
Alan T. James Distributions of Matrix Variates and
Latent Roots Derived from Normal Samples 475--501
Simeon M. Berman Limit Theorems for the Maximum Term in
Stationary Sequences . . . . . . . . . . 502--516
Jack Capon Radon--Nikodym Derivatives of Stationary
Gaussian Measures . . . . . . . . . . . 517--531
L. H. Koopmans On the Coefficient of Coherence for
Weakly Stationary Stochastic Processes 532--549
Charles Hobby and
N. Donald Ylvisaker Some Structure Theorems for Stationary
Probability Measures on Finite State
Sequences . . . . . . . . . . . . . . . 550--556
Howard H. Stratton, Jr. and
Howard G. Tucker Limit Distributions of a Branching
Stochastic Process . . . . . . . . . . . 557--565
M. Rosenblatt-Roth Some Theorems Concerning the Strong Law
of Large Numbers for Non-Homogeneous
Markov Chains . . . . . . . . . . . . . 566--576
Richard E. Barlow and
Frank Proschan Comparison of Replacement Policies, and
Renewal Theory Implications . . . . . . 577--589
David J. Sakrison A Continuous Kiefer--Wolfowitz Procedure
for Random Processes . . . . . . . . . . 590--599
Peter D. Welch On Pre-Emptive Resume Priority Queues 600--612
M. B. Wilk and
R. Gnanadesikan Graphical Methods for Internal
Comparisons in Multiresponse Experiments 613--631
Leo A. Goodman Interactions in Multidimensional
Contingency Tables . . . . . . . . . . . 632--646
Irene Monahan Trawinski and
R. E. Bargmann Maximum Likelihood Estimation with
Incomplete Multivariate Data . . . . . . 647--657
M. Zelen and
W. Federer Applications of the Calculus for
Factorial Arrangements II: Two Way
Elimination of Heterogeneity . . . . . . 658--672
Damaraju Raghavarao Singular Weighing Designs . . . . . . . 673--680
Klaus Hinkelmann Extended Group Divisible Partially
Balanced Incomplete Block Designs . . . 681--695
S. Zacks Generalized Least Squares Estimators for
Randomized Fractional Replication
Designs . . . . . . . . . . . . . . . . 696--704
G. A. F. Seber Orthogonality in Analysis of Variance 705--710
K. S. Banerjee and
W. T. Federer Estimates of Effects for Fractional
Replicates . . . . . . . . . . . . . . . 711--715
Leo A. Goodman Simultaneous Confidence Intervals for
Contrasts Among Multinomial Populations 716--725
E. L. Lehmann Asymptotically Nonparametric Inference
in some Linear Models with One
Observation per Cell . . . . . . . . . . 726--734
C. B. Bell A Characterization of Multisample
Distribution-Free Statistics . . . . . . 735--738
W. A. Thompson, Jr. and
Russell Remage, Jr. Rankings from Paired Comparisons . . . . 739--747
O. P. Srivastava and
W. L. Harkness and
J. B. Bartoo Asymptotic Distribution of Distances
Between Order Statistics from Bivariate
Populations . . . . . . . . . . . . . . 748--754
J. W. Thompson A Property of Some Symmetric Two-Stage
Sequential Procedures . . . . . . . . . 755--761
Bob E. Ellison On Two-Sided Tolerance Intervals for a
Normal Distribution . . . . . . . . . . 762--772
G. A. F. Seber The Linear Hypothesis and Large Sample
Theory . . . . . . . . . . . . . . . . . 773--779
C. Villegas Confidence Region for a Linear Relation 780--788
M. N. Ghosh On the admissibility of some tests of
MANOVA . . . . . . . . . . . . . . . . . 789--794
P. K. Pathak Sufficiency in Sampling Theory . . . . . 795--808
J. C. Mott-Smith Two Estimates of the Binomial
Distribution . . . . . . . . . . . . . . 809--816
M. W. Birch A new proof of the Pearson--Fisher
theorem . . . . . . . . . . . . . . . . 817--824
Irwin Guttman and
George C. Tiao A Bayesian Approach to Some Best
Population Problems . . . . . . . . . . 825--835
J. Hartigan Invariant Prior Distributions . . . . . 836--845
J. Fabius Asymptotic Behavior of Bayes' Estimates 846--856
Zalman Usiskin Max-Min Probabilities in the Voting
Paradox . . . . . . . . . . . . . . . . 857--862
David Blackwell Memoryless Strategies in Finite-Stage
Dynamic Programming . . . . . . . . . . 863--865
Richard F. Gebhard A Limit Theorem for Random Interval
Sampling of a Stochastic Process . . . . 866--868
Richard Isaac Non-Singular Recurrent Markov Processes
have Stationary Measures . . . . . . . . 869--871
Tom S. Pitcher On Adding Independent Stochastic
Processes . . . . . . . . . . . . . . . 872--873
P. J. Burke The Dependence of Delays in Tandem
Queues . . . . . . . . . . . . . . . . . 874--875
Richard Sinkhorn A Relationship Between Arbitrary
Positive Matrices and Doubly Stochastic
Matrices . . . . . . . . . . . . . . . . 876--879
K. S. Banerjee A Note on Idempotent Matrices . . . . . 880--882
A. J. Hoffman On the Line Graph of the Complete
Bipartite Graph . . . . . . . . . . . . 883--885
Charles H. Kraft and
Constance van Eeden Bayesian Bio-Assay . . . . . . . . . . . 886--890
Paul Switzer Significance Probability Bounds for Rank
Orderings . . . . . . . . . . . . . . . 891--894
Peter W. M. John Pseudo-Inverses in the Analysis of
Variance . . . . . . . . . . . . . . . . 895--896
Peter W. M. John Balanced Designs with Unequal Numbers of
Replicates . . . . . . . . . . . . . . . 897--899
Des Raj On Double Sampling for PPS Estimation 900--902
E. S. Pearson Review: Donald B. Owen,
\booktitleHandbook of Statistical Tables 903--906
B. L. Welch Review: M. O. Locks, M. J. Alexander, B.
J. Byars, New Tables of the Non-central
$t$ Distribution; D. B. Owen,
\booktitleFactors for One-Sided
Tolerance Limits and for Variables
Sampling Plans . . . . . . . . . . . . . 907--910
Oscar Kempthorne Review: M. C. Chakrabarti,
\booktitleMathematics of Design and
Analysis of Experiments . . . . . . . . 911--912
Edgar Reich Review: Vaclav E. Benes,
\booktitleGeneral Stochastic Processes
in the Theory of Queues . . . . . . . . 913--914
Alex M. Mood Review: I. Richard Savage,
\booktitleBibliography of Nonparametric
Statistics . . . . . . . . . . . . . . . 915--916
David G. Kendall Review: John Riordan,
\booktitleStochastic Service Systems . . 917--919
Ulf Grenander Review: B. V. Gnedenko, B. D. Seckler,
\booktitleThe Theory of Probability . . 920--922
T. W. Anderson and
M. A. Girshick Corrections to ``Some Extensions of the
Wishart Distribution'' . . . . . . . . . 923--923
T. W. Anderson Corrections to ``The Non-Central Wishart
Distribution and Certain Problems of
Multivariate Statistics'' . . . . . . . 923--924
Charles Hobby and
Ronald Pyke Correction to ``Combinatorial Results in
Fluctuation'' . . . . . . . . . . . . . 924--924
D. G. Kabe Corrections to: ``Some Results on the
Distribution of Two Random Matrices used
in Classification Procedures'' . . . . . 924--924
H. Leon Harter Correction to ``Estimating the
Parameters of Negative Exponential
Population from One or Two Order
Statistics'' . . . . . . . . . . . . . . 925--925
Samuel Kotz and
John W. Adams Acknowledgment of Priority: Distribution
of Sum of Identically Distributed
Exponentially Correlated Gamma-Variables 925--925
Anonymous Abstracts of Papers . . . . . . . . . . 926--940
Anonymous News and Notices . . . . . . . . . . . . 941--948
R. H. Farrell Estimators of a Location Parameter in
the Absolutely Continuous Case . . . . . 949--998
H. Chernoff and
S. Zacks Estimating the Current Mean of a Normal
Distribution which is Subjected to
Changes in Time . . . . . . . . . . . . 999--1018
Martin Fox and
Herman Rubin Admissibility of Quantile Estimates of a
Single Location Parameter . . . . . . . 1019--1030
M. N. Ghosh Uniform Approximation of Minimax Point
Estimates . . . . . . . . . . . . . . . 1031--1047
Edward Paulson Sequential Estimation and Closed
Sequential Decision Procedures . . . . . 1048--1058
T. W. Anderson and
S. Das Gupta A Monotonicity Property of the Power
Functions of Some Tests of the Equality
of Two Covariance Matrices . . . . . . . 1059--1063
K. R. Shah Use of Inter-Block Information to Obtain
Uniformly Better Estimators . . . . . . 1064--1078
Peter J. Bickel On Some Alternative Estimates for Shift
in the $P$-Variate One Sample Problem 1079--1090
E. J. Burr Small-Sample Distributions of the
Two-sample Cramér--von Mises' $ W^2 $ and
Watson's $ U^2 $ . . . . . . . . . . . . 1091--1098
Elizabeth H. Yen On Two-Stage Non-Parametric Estimation 1099--1114
W. L. Harkness and
L. Katz Comparison of the Power Functions for
the Test of Independence in $ 2 \times 2
$ Contingency Tables . . . . . . . . . . 1115--1127
T. W. Anderson On Bayes Procedures for a Problem with
Choice of Observations . . . . . . . . . 1128--1135
John P. Comer, Jr. Some Stochastic Approximation Procedures
for Use in Process Control . . . . . . . 1136--1146
F. G. Foster and
A. G. A. D. Perera Queues with batch departures. II . . . . 1147--1156
S. D. Silvey On a Measure of Association . . . . . . 1157--1166
P. S. Dwyer Properties of Polykays of Deviates . . . 1167--1173
P. S. Dwyer and
D. S. Tracy A Combinatorial Method for Products of
Two Polykays with Some General Formulae 1174--1185
Tito A. Mijares On Elementary Symmetric Functions of the
Roots of a Multivariate Matrix:
Distributions . . . . . . . . . . . . . 1186--1198
Thomas S. Ferguson A Characterization of the Exponential
Distribution . . . . . . . . . . . . . . 1199--1207
G. K. Eagleson Polynomial Expansions of Bivariate
Distributions . . . . . . . . . . . . . 1208--1215
J. Pfanzagl On the Topological Structure of Some
Ordered Families of Distributions . . . 1216--1228
J. L. Denny On Continuous Sufficient Statistics . . 1229--1233
Richard E. Barlow and
Albert W. Marshall Bounds for Distributions with Monotone
Hazard Rate, I . . . . . . . . . . . . . 1234--1257
Richard E. Barlow and
Albert W. Marshall Bounds for Distributions with Monotone
Hazard Rate, II . . . . . . . . . . . . 1258--1274
Sidney C. Port Some Theorems on Functionals of Markov
Chains . . . . . . . . . . . . . . . . . 1275--1290
David Blackwell and
David Freedman The Tail $ \sigma $-Field of a Markov
Chain and a Theorem of Orey . . . . . . 1291--1295
T. W. Anderson and
A. M. Walker On the Asymptotic Distribution of the
Autocorrelations of a Sample from a
Linear Stochastic Process . . . . . . . 1296--1303
J. Sethuraman On the Probability of Large Deviations
of Families of Sample Means . . . . . . 1304--1316
J. N. Darroch On the Distribution of the Number of
Successes in Independent Trials . . . . 1317--1321
G. F. Newell Asymptotic Extremes for $m$-Dependent
Random Variables . . . . . . . . . . . . 1322--1325
Giorgio Dall'Aglio Present Value of a Renewal Process . . . 1326--1331
R. H. Farrell Limit Theorems for Stopped Random Walks 1332--1343
D. Blackwell and
P. Deuel and
D. Freedman The Last Return to Equilibrium in a
Coin-tossing Game . . . . . . . . . . . 1344--1344
David Blackwell and
David Freedman A Remark on the Coin Tossing Game . . . 1345--1347
R. M. Blumenthal and
R. K. Getoor A Theorem on Stopping Times . . . . . . 1348--1350
Sidney C. Port Escape Probability for a Half Line . . . 1351--1355
Lajos Takács An Application of a Ballot Theorem in
Order Statistics . . . . . . . . . . . . 1356--1358
Charles H. Kraft and
Constance van Eeden A Fluctuation Theorem and a
Distribution-free Test . . . . . . . . . 1359--1360
L. Danziger and
S. A. Davis Tables of Distribution-free Tolerance
Limits . . . . . . . . . . . . . . . . . 1361--1365
Lee J. Bain and
David L. Weeks A Note on the Truncated Exponential
Distribution . . . . . . . . . . . . . . 1366--1367
Gerald S. Rogers An Application of a Generalized Gamma
Distribution . . . . . . . . . . . . . . 1368--1370
J. Kiefer Review: Maurice G. Kendall, Alan Stuart,
\booktitleThe Advanced Theory of
Statistics, Volume 2, ``Inference and
Relationship.'' . . . . . . . . . . . . 1371--1380
Tore Dalenius Review: William G. Cochran,
\booktitleSampling Techniques . . . . . 1381--1382
S. K. Mitra and
C. R. Rao Review: A. E. Sarhan, B. G. Greenberg,
\booktitleContributions to Order
Statistics . . . . . . . . . . . . . . . 1383--1385
E. N. Gilbert Review: H. A. David, \booktitleThe
Method of Paired Comparisons . . . . . . 1386--1387
N. Giri Correction Notes: Correction to ``On the
Likelihood Ratio of a Normal
Multivariate Testing Problem'' . . . . . 1388--1388
H. O. Lancaster Correction Notes: Correction to ``The
Structure of Bivariate Distributions'' 1388--1388
Anonymous Abstracts of Papers . . . . . . . . . . 1389--1408
Anonymous News and Notices . . . . . . . . . . . . 1409--1417
Anonymous Publications Received . . . . . . . . . 1417--1417
L. Le. Cam Sufficiency and Approximate Sufficiency 1419--1455
L. Brown Sufficient Statistics in the Case of
Independent Random Variables . . . . . . 1456--1474
N. Giri and
J. Kiefer Minimax Character of the $ R^2 $-Test in
the Simplest Case . . . . . . . . . . . 1475--1490
Jaroslav Hájek Asymptotic Theory of Rejective Sampling
with Varying Probabilities from a Finite
Population . . . . . . . . . . . . . . . 1491--1523
Friedrich Gebhardt On the Risk of Some Strategies for
Outlying Observations . . . . . . . . . 1524--1536
Leon J. Gleser On a Measure of Test Efficiency Proposed
by R. R. Bahadur . . . . . . . . . . . . 1537--1544
R. R. Bahadur On Fisher's Bound for Asymptotic
Variances . . . . . . . . . . . . . . . 1545--1552
P. G. Hoel and
A. Levine Optimal Spacing and Weighting in
Polynomial Prediction . . . . . . . . . 1553--1560
D. L. Hanson and
L. H. Koopmans Tolerance Limits for the Class of
Distributions with Increasing Hazard
Rates . . . . . . . . . . . . . . . . . 1561--1570
Charles DeWitt Roberts An Asymptotically Optimal Fixed Sample
Size Procedure for Comparing Several
Experimental Categories with a Control 1571--1575
Jerome Klotz Small Sample Power of the Bivariate Sign
Tests of Blumen and Hodges . . . . . . . 1576--1582
John H. Park, Jr. Variations of the Non-central $t$ and
Beta Distributions . . . . . . . . . . . 1583--1593
Rupert G. Miller, Jr. A Trustworthy Jackknife . . . . . . . . 1594--1605
Ester Samuel Convergence of the Losses of Certain
Decision Rules for the Sequential
Compound Decision Problem . . . . . . . 1606--1621
Dennis V. Lindley The Bayesian Analysis of Contingency
Tables . . . . . . . . . . . . . . . . . 1622--1643
F. V. Atkinson and
J. D. Church and
B. Harris Decision Procedures for Finite Decision
Problems Under Complete Ignorance . . . 1644--1655
B. R. Bhat Bayes Solution of Sequential Decision
Problem for Markov Dependent
Observations . . . . . . . . . . . . . . 1656--1662
Eugene Dayhoff On the Equivalence of Polykays of the
Second Degree and $ \Sigma $'s . . . . . 1663--1672
Ignacy Kotlarski On Bivariate Random Variables Where The
Quotient of Their Coordinates Follows
Some Known Distribution . . . . . . . . 1673--1684
I. G. Abrahamson Orthant Probabilities for the
Quadrivariate Normal Distribution . . . 1685--1703
K. C. Sreedharan Pillai On the Moments of Elementary Symmetric
Functions of the Roots of Two Matrices 1704--1712
J. R. Blum and
Judah Rosenblatt On Random Sampling From a Stochastic
Process . . . . . . . . . . . . . . . . 1713--1717
Meyer Dwass Extremal Processes . . . . . . . . . . . 1718--1725
John Lamperti On Extreme Order Statistics . . . . . . 1726--1737
James R. McCord On Asymptotic Moments of Extreme
Statistics . . . . . . . . . . . . . . . 1738--1745
Ronald Pyke and
Ronald Schaufele Limit Theorems for Markov Renewal
Processes . . . . . . . . . . . . . . . 1746--1764
L. H. Koopmans On the Multivariate Analysis of Weakly
Stationary Stochastic Processes . . . . 1765--1780
Richard Isaac A Uniqueness Theorem for Stationary
Measures of Ergodic Markov Processes . . 1781--1786
C. Villegas On qualitative probability $ \sigma
$-algebras . . . . . . . . . . . . . . . 1787--1796
William E. Pruitt Eigenvalues of Non-Negative Matrices . . 1797--1800
C. G. Khatri Distribution of the `Generalised'
Multiple Correlation Matrix in the Dual
Case . . . . . . . . . . . . . . . . . . 1801--1806
C. G. Khatri Distribution of the Largest or the
Smallest Characteristic Root Under Null
Hypothesis Concerning Complex
Multivariate Normal Populations . . . . 1807--1810
Dan Chazan A Note on Convergence of Sub-Martingales 1811--1814
K. V. Mardia Some Results on the Order Statistics of
the Multivariate Normal and Pareto Type
1 Populations . . . . . . . . . . . . . 1815--1818
Leo Breiman and
Zivia S. Wurtele Convergence Properties of a Learning
Algorithm . . . . . . . . . . . . . . . 1819--1822
Torbjörn Thedéen A Note on the Poisson Tendency in
Traffic Distribution . . . . . . . . . . 1823--1824
C. F. Crouse Note on Mood's Test . . . . . . . . . . 1825--1826
J. C. Mott-Smith Correction Note: Correction to ``Two
Estimates of the Binomial Distribution'' 1827--1827
Leopold K. Schmetterer Review: A. Rényi,
\booktitleWahrscheinlichkeitsrechnung,
mit einem Anhang über Informationstheorie
(German) [Probability Theory, with an
Appendix on Information Theory] . . . . 1828--1831
Boris Gnedenko Review: Murray Rosenblatt,
\booktitleRandom Processes . . . . . . . 1832--1833
Anonymous Abstracts of Papers . . . . . . . . . . 1834--1852
Anonymous News and Notices . . . . . . . . . . . . 1853--1880
T. W. Anderson Samuel Stanley Wilks, 1906--1964 . . . . 1--23
Anonymous The Publications of S. S. Wilks . . . . 24--27
Herman Chernoff Sequential Test for the Mean of a Normal
Distribution. III. (Small $t$) . . . . . 28--54
Herman Chernoff Sequential Tests for the Mean of a
Normal Distribution IV (Discrete Case) 55--68
Albert W. Marshall and
Frank Proschan Maximum Likelihood Estimation for
Distributions with Monotone Failure Rate 69--77
Arthur Cohen Estimates of Linear Combinations of the
Parameters in the Mean Vector of a
Multivariate Distribution . . . . . . . 78--87
Dan Bradu Main-Effect Analysis of the General
Non-Orthogonal Layout with any Number of
Factors . . . . . . . . . . . . . . . . 88--97
C. G. Khatri Classical Statistical Analysis Based on
a Certain Multivariate Complex Gaussian
Distribution . . . . . . . . . . . . . . 98--114
C. G. Khatri A Test for Reality of a Covariance
Matrix in a Certain Complex Gaussian
Distribution . . . . . . . . . . . . . . 115--119
O. P. Bagai The Distribution of the Generalized
Variance . . . . . . . . . . . . . . . . 120--130
Ulf Grenander Some Direct Estimates of the Mode . . . 131--138
Shanti S. Gupta and
Mrudulla N. Waknis A System of Inequalities for the
Incomplete Gamma Function and the Normal
Integral . . . . . . . . . . . . . . . . 139--149
Seymour Geisser Bayesian Estimation in Multivariate
Analysis . . . . . . . . . . . . . . . . 150--159
Peter J. Bickel On Some Asymptotically Nonparametric
Competitors of Hotelling's $ T^2 $ . . . 160--173
Arnljot Hòyland Robustness of the Hodges--Lehmann
Estimates for Shift . . . . . . . . . . 174--197
Subha Bhuchongkul and
Madan L. Puri On the Estimation of Contrasts in Linear
Models . . . . . . . . . . . . . . . . . 198--202
C. B. Bell and
K. A. Doksum Some New Distribution-Free Statistics 203--214
Carol E. Fuchs and
H. T. David Poisson Limits of Multivariate Run
Distributions . . . . . . . . . . . . . 215--225
David Blackwell Discounted Dynamic Programming . . . . . 226--235
D. E. Barton and
C. L. Mallows Some Aspects of the Random Sequence . . 236--260
R. Borges and
J. Pfanzagl One-Parameter Exponential Families
Generated by Transformation Groups . . . 261--271
Bradley Efron Increasing Properties of Pólya Frequency
Function . . . . . . . . . . . . . . . . 272--279
J. Sethuraman On the Probability of Large Deviations
of the Mean for Random Variables in $
D[0, 1] $ . . . . . . . . . . . . . . . 280--285
Howard Rumsey, Jr. and
Edward C. Posner Joint Distributions with Prescribed
Moments . . . . . . . . . . . . . . . . 286--298
Bengt von Bahr and
Carl-Gustav Esseen Inequalities for the $r$ th Absolute
Moment of a Sum of Random Variables, $ 1
\leqq r \leqq 2$ . . . . . . . . . . . . 299--303
John Lamperti On Limit Theorems for Gaussian Processes 304--310
Frank B. Knight Distribution of the Absolute Maximum for
Certain Brownian Motions . . . . . . . . 311--312
M. S. Srivastava On the Complex Wishart Distribution . . 313--315
Carl-Erik Särndal A Theorem on Rank Orders for Two
Censored Samples . . . . . . . . . . . . 316--321
Miklós Csörg\Ho Some Rényi Type Limit Theorems for
Empirical Distribution Functions . . . . 322--326
Des Raj On Sampling Over Two Occasions with
Probability Proportionate to Size . . . 327--330
Dale M. Mesner A Note on the Parameters of PBIB
Association Schemes . . . . . . . . . . 331--336
S. M. Shah Bounds for the Number of Common
Treatments Between Any Two Blocks of
Certain PBIB Designs . . . . . . . . . . 337--342
I. Olkin and
R. F. Tate Correction Note: Correction to
``Multivariate Correlation Models with
Mixed Discrete and Continuous
Variables'' . . . . . . . . . . . . . . 343--344
M. W. Birch Acknowledgment of Priority: ``A New
Proof of the Pearson--Fisher Theorem'' 344--344
G. Kallianpur Review: Ulf Grenander,
\booktitleProbabilities on Algebraic
Structures . . . . . . . . . . . . . . . 345--347
E. Lukacs Review: Yu. V. Linnik, M. L. Gruel,
\booktitleDecomposition des Lois de
Probabilities; Yu. V. Linnik, S. J.
Taylor, \booktitleDecomposition of
Probability Distributions . . . . . . . 347--350
Anonymous Abstracts of Papers . . . . . . . . . . 351--365
Anonymous News and Notices . . . . . . . . . . . . 366--368
Anonymous Publications Received . . . . . . . . . 368--368
Wassily Hoeffding Asymptotically Optimal Tests for
Multinomial Distributions . . . . . . . 369--401
Jerzy Neyman and
Herman Chernoff and
D. G. Chapman Discussion of Hoeffding's Paper . . . . 401--408
R. K. Getoor Additive Functionals and Excessive
Functions . . . . . . . . . . . . . . . 409--422
V. Strassen The Existence of Probability Measures
with Given Marginals . . . . . . . . . . 423--439
M. Stone Right Haar Measure for Convergence in
Probability to Quasi Posterior
Distributions . . . . . . . . . . . . . 440--453
David A. Freedman On the Asymptotic Behavior of Bayes
Estimates in the Discrete Case II . . . 454--456
Y. S. Chow and
Herbert Robbins On the Asymptotic Theory of Fixed-Width
Sequential Confidence Intervals for the
Mean . . . . . . . . . . . . . . . . . . 457--462
Leon J. Gleser On the Asymptotic Theory of Fixed-Size
Sequential Confidence Bounds for Linear
Regression Parameters . . . . . . . . . 463--467
T. W. Anderson Some Optimum Confidence Bounds for Roots
of Determinantal Equations . . . . . . . 468--488
Melvin Hinich Large-Sample Estimation of an Unknown
Discrete Waveform Which is Randomly
Repeating in Gaussian Noise . . . . . . 489--508
M. R. Leadbetter and
J. D. Cryer On the Mean Number of Curve Crossings by
Non-Stationary Normal Processes . . . . 509--516
J. Feldman Integral Kernels and Invariant Measures
for Markoff Transition Functions . . . . 517--523
S. W. Dharmadhikari A Characterisation of a Class of
Functions of Finite Markov Chains . . . 524--528
T. S. Pitcher The Behavior of Likelihood Ratios of
Stochastic Processes Related by Groups
of Transformations . . . . . . . . . . . 529--534
R. S. Bucy Recurrent Sets . . . . . . . . . . . . . 535--545
Charles Stone A Local Limit Theorem for Nonlattice
Multi-Dimensional Distribution Functions 546--551
Y. S. Chow Local Convergence of Martingales and the
Law of Large Numbers . . . . . . . . . . 552--558
D. L. Hanson and
L. H. Koopmans On the Convergence Rate of the Law of
Large Numbers for Linear Combinations of
Independent Random Variables . . . . . . 559--564
Richard E. Barlow Bounds on Integrals with Applications to
Reliability Problems . . . . . . . . . . 565--574
W. J. Hall and
R. A. Wijsman and
J. K. Ghosh The Relationship Between Sufficiency and
Invariance with Applications in
Sequential Analysis . . . . . . . . . . 575--614
Adnan F. Ifram On the Asymptotic Behavior of Densities
with Applications to Sequential Analysis 615--637
H. O. Hartley and
Aaron Booker Nonlinear Least Squares Estimation . . . 638--650
G. P. Bhattacharjee Effect of Non-Normality on Stein's Two
Sample Test . . . . . . . . . . . . . . 651--663
N. Giri On the Complex Analogues of $ T^2 $- and
$ R^2 $-Tests . . . . . . . . . . . . . 664--670
D. G. Kabe Generalization of Sverdrup's Lemma and
its Applications to Multivariate
Distribution Theory . . . . . . . . . . 671--676
M. M. Siddiqui Approximations to the Distribution of
Quadratic Forms . . . . . . . . . . . . 677--682
Norman Y. Luther Decomposition of Symmetric Matrices and
Distributions of Quadratic Forms . . . . 683--690
Bradley Efron Note on Decision Procedures for Finite
Decision Problems Under Complete
Ignorance . . . . . . . . . . . . . . . 691--697
Ester Samuel Note on Estimating Ordered Parameters 698--702
E. M. Bolger and
W. L. Harkness Characterizations of Some Distributions
by Conditional Moments . . . . . . . . . 703--705
J. R. McGregor and
J. V. Zidek Limiting Distributions of Response
Probabilities . . . . . . . . . . . . . 706--707
John Riordan A Recurrence for Permutations without
Rising or Falling Successions . . . . . 708--710
Haim Hanani A Balanced Incomplete Block Design . . . 711--711
Olive Jean Dunn A property of the multivariate $t$
distribution . . . . . . . . . . . . . . 712--714
Fred Andrews and
Kumar Jogdeo Correction Note: Correction to Abstract
``Asymptotic Efficiency of Certain
Distance Criteria'' . . . . . . . . . . 715--715
Frederick J. Beutler Review: P. Whittle, \booktitlePrediction
and Regulation by Linear Least-Squares
Methods . . . . . . . . . . . . . . . . 716--718
Lincoln E. Moses Review: John E. Walsh,
\booktitleHandbook of Nonparametric
Statistics . . . . . . . . . . . . . . . 719--722
D. J. A. Welsh Review: Theodore E. Harris,
\booktitleThe Theory of Branching
Processes . . . . . . . . . . . . . . . 723--725
Anonymous Abstracts of Papers . . . . . . . . . . 726--736
Anonymous News and Notices . . . . . . . . . . . . 737--744
Anonymous Publications Received . . . . . . . . . 744--745
J. Kiefer and
R. Schwartz Admissible Bayes Character of $ T^2 -,
R^2 - $, and Other Fully Invariant Tests
for Classical Multivariate Normal
Problems . . . . . . . . . . . . . . . . 747--770
R. M. Dudley Gaussian Processes on Several Parameters 771--788
Y. S. Chow and
Herbert Robbins and
Henry Teicher Moments of Randomly Stopped Sums . . . . 789--799
Lester E. Dubins and
David A. Freedman A Sharper Form of the Borel--Cantelli
Lemma and the Strong Law . . . . . . . . 800--807
Bengt von Bahr On the Convergence of Moments in the
Central Limit Theorem . . . . . . . . . 808--818
A. Ionescu Tulcea On the lifting property. V . . . . . . . 819--828
J. A. Bather Invariant Conditional Distributions . . 829--846
Peter J. Bickel On Some Robust Estimates of Location . . 847--858
S. N. Ray Bounds on the Maximum Sample Size of a
Bayes Sequential Procedure . . . . . . . 859--878
Ester Samuel Sequential Compound Estimators . . . . . 879--889
D. A. S. Fraser On Information in Statistics . . . . . . 890--896
Herbert T. David Order statistics and statistics of
structure $ (d) $ . . . . . . . . . . . 897--906
Shanti S. Gupta and
Bhupendra K. Shah Exact Moments and Percentage Points of
the Order Statistics and the
Distribution of the Range From the
Logistic Distribution . . . . . . . . . 907--920
M. Rosenblatt-Roth Quantiles and Medians . . . . . . . . . 921--925
Salem H. Khamis Some Basic Properties of the Incomplete
Gamma Function Ratio . . . . . . . . . . 926--937; correction, 1584
W. L. Harkness Properties of the Extended
Hypergeometric Distribution . . . . . . 938--945
Peter J. Bickel and
Joseph A. Yahav Renewal Theory in the Plane . . . . . . 946--955
David A. Freedman Bernard Friedman's Urn . . . . . . . . . 956--970
Perry A. Scheinok Spectral Analysis with Randomly Missed
Observations: The Binomial Case . . . . 971--977
G. G. Roussas Asymptotic Inference in Markov Processes 978--992
R. M. Loynes Extreme Values in Uniformly Mixing
Stationary Stochastic Processes . . . . 993--999
Dana Quade On the Asymptotic Power of the
One-Sample Kolmogorov--Smirnov Tests . . 1000--1018
W. J. Conover Several $k$-sample Kolmogorov--Smirnov
tests . . . . . . . . . . . . . . . . . 1019--1026
V. K. Murthy Estimation of Probability Density . . . 1027--1031
V. K. Murthy Estimation of Jumps, Reliability and
Hazard Rate . . . . . . . . . . . . . . 1032--1040
Ulf Grenander A Limit Theorem for Sums of Minima of
Stochastic Variables . . . . . . . . . . 1041--1042
N. Donald Ylvisaker The Expected Number of Zeros of a
Stationary Gaussian Process . . . . . . 1043--1046
K. J. Craswell Density Estimation in a Topological
Group . . . . . . . . . . . . . . . . . 1047--1048
D. O. Loftsgaarden and
C. P. Quesenberry A Nonparametric Estimate of a
Multivariate Density Function . . . . . 1049--1051
E. J. Gumbel and
P. G. Carlson and
C. K. Mustafi A Note on Midrange . . . . . . . . . . . 1052--1054
Mir M. Ali and
Lai K. Chan Some Bounds for Expected Values of Order
Statistics . . . . . . . . . . . . . . . 1055--1057
S. K. Zaremba Note on the Wilcoxon--Mann--Whitney
statistic . . . . . . . . . . . . . . . 1058--1060
N. Giri On the Likelihood Ratio Test of a Normal
Multivariate Testing Problem II . . . . 1061--1065
W. H. Marlow Factorial Distributions . . . . . . . . 1066--1068
Miklós Csörg\Ho Correction Notes: Correction to ``Some
Rényi Type Limit Theorems for Empirical
Distribution Functions'' . . . . . . . . 1069--1069
Eugene Dayhoff Correction Notes: Correction to ``On the
Equivalence of Polykays of the Second
Degree and $ \Sigma $'s'' . . . . . . . 1069--1069
P. R. Krishnaiah and
J. V. Armitage Correction Notes: Correction to Abstract
``Tables for the Distribution of the
Maximum of Correlated Chi-Square
Variates with One Degree of Freedom'' 1069--1069
D. A. Darling Review: Harald Bergström, \booktitleLimit
Theorems for Convolutions . . . . . . . 1070--1072
Anonymous Abstracts of Papers . . . . . . . . . . 1073--1087
Anonymous News and Notices . . . . . . . . . . . . 1088--1094
Anonymous Publications Received . . . . . . . . . 1095--1095
Paul G. Hoel Minimax Designs in Two Dimensional
Regression . . . . . . . . . . . . . . . 1097--1106
L. A. Shepp Distinguishing a Sequence of Random
Variables from a Translate of Itself . . 1107--1112
Miklós Csörg\Ho Some Smirnov Type Theorems of
Probability Theory . . . . . . . . . . . 1113--1119
M. Rosenblatt and
J. W. Van Ness Estimation of the Bispectrum . . . . . . 1120--1136
J. A. Hartigan The Asymptotically Unbiased Prior
Distribution . . . . . . . . . . . . . . 1137--1152
George A. Anderson An Asymptotic Expansion for the
Distribution of the Latent Roots of the
Estimated Covariance Matrix . . . . . . 1153--1173
S. Das Gupta Optimum Classification Rules for
Classification into Two Multivariate
Normal Populations . . . . . . . . . . . 1174--1184
Arthur Cohen A Hybrid Problem on the Exponential
Family . . . . . . . . . . . . . . . . . 1185--1206
T. K. Matthes and
D. R. Truax Optimal Invariant Rank Tests for the
$k$-Sample Problem . . . . . . . . . . . 1207--1222
W. J. Conover A $k$-sample model in order statistics 1223--1235
M. Raghavachari The Two-Sample Scale Problem When
Locations are Unknown . . . . . . . . . 1236--1242
Joseph L. Gastwirth Asymptotically Most Powerful Rank Tests
for the Two-Sample Problem with Censored
Data . . . . . . . . . . . . . . . . . . 1243--1247
Kay Knight Mazuy and
W. S. Connor Student's $t$ in a Two-Way
Classification with Unequal Variances 1248--1255
David White and
Robert A. Hultquist Construction of Confounding Plans for
Mixed Factorial Designs . . . . . . . . 1256--1271
S. M. Samuels On the Number of Successes in
Independent Trials . . . . . . . . . . . 1272--1278
Barry W. Brown On the Iterative Method of Dynamic
Programming on a Finite Space Discrete
Time Markov Process . . . . . . . . . . 1279--1285
Alex Heller On Stochastic Processes Derived From
Markov Chains . . . . . . . . . . . . . 1286--1291
Glen Baxter Generalizations of the Maximal Ergodic
Theorem . . . . . . . . . . . . . . . . 1292--1293
Sidney C. Port A Simple Probabilistic Proof of the
Discrete Generalized Renewal Theorem . . 1294--1297
Charles Stone On Moment Generating Functions and
Renewal Theory . . . . . . . . . . . . . 1298--1301
Tim Robertson A Note on the Reciprocal of the
Conditional Expectation of a Positive
Random Variable . . . . . . . . . . . . 1302--1305
M. Raghavachari On the Efficiency of the Normal Scores
Test Relative to the $F$-Test . . . . . 1306--1307
H. Robert van der Vaart A Note on Wilks' Internal Scatter . . . 1308--1312
H. O. Lancaster Pairwise Statistical Independence . . . 1313--1317
T. W. Anderson and
S. Das Gupta Correction Notes: Correction to ``A
Monotonicity Property of the Power
Functions of Some Tests of the Equality
of Two Covariance Matrices'' . . . . . . 1318--1318
S. Kumar Correction Notes: Correction to Abstract
``A Group-Testing Problem'' . . . . . . 1318--1318
D. A. Darling Review: Frank Spitzer,
\booktitlePrinciples of Random Walk . . 1319--1320
Anonymous Abstracts of Papers . . . . . . . . . . 1321--1329
Anonymous News and Notices . . . . . . . . . . . . 1330--1337
Anonymous Publications Received . . . . . . . . . 1338--1338
H. D. Brunk Conditional Expectation Given A $ \sigma
$-Lattice and Applications . . . . . . . 1339--1350
David R. Brillinger An Introduction to Polyspectra . . . . . 1351--1374
Carter Vincent Smith and
Ronald Pyke The Robbins--Isbell Two-Armed-Bandit
Problem with Finite Memory . . . . . . . 1375--1386
Herman Chernoff and
S. N. Ray A Bayes Sequential Sampling Inspection
Plan . . . . . . . . . . . . . . . . . . 1387--1407
Leon S. White Markovian Decision Models for the
Evaluation of a Large Class of
Continuous Sampling Inspection Plans . . 1408--1420
J. MacQueen and
R. M. Redheffer Some Applications of Monotone Operators
in Markov Processes . . . . . . . . . . 1421--1425
William F. Trench On the Extrapolation of a Special Class
of Stationary Time Series . . . . . . . 1426--1432
Marius Iosifescu Sampling Entropy for Random Homogeneous
Systems with Complete Connections . . . 1433--1436
Donald L. Iglehart Limit Theorems for Queues with Traffic
Intensity One . . . . . . . . . . . . . 1437--1449
Henry Teicher On Random Sums of Random Vectors . . . . 1450--1458
Ignacy Kotlarski On the Generalized Mellin Transform of a
Complex Random Variable and Its
Applications . . . . . . . . . . . . . . 1459--1467
G. E. P. Box and
George C. Tiao Multiparameter Problems From a Bayesian
Point of View . . . . . . . . . . . . . 1468--1482
Paul G. Hoel Optimum Designs for Polynomial
Extrapolation . . . . . . . . . . . . . 1483--1493
William Knight A Method of Sequential Estimation
Applicable to the Hypergeometric,
Binomial, Poisson, and Exponential
Distributions . . . . . . . . . . . . . 1494--1503
Britain J. Williams The Effect of Truncation on Tests of
Hypotheses for Normal Populations . . . 1504--1510
C. G. Khatri and
K. C. S. Pillai Some Results on the Non-Central
Multivariate Beta Distribution and
Moments of Traces of Two Matrices . . . 1511--1520
William H. Lawton Some Inequalities for Central and
Non-Central Distributions . . . . . . . 1521--1525
H. A. David and
F. W. Wolock Cyclic Designs . . . . . . . . . . . . . 1526--1534
Suresh K. Tharthare Generalized Right Angular Designs . . . 1535--1553
James B. Robertson On a Problem in Non-Linear Prediction
Theory . . . . . . . . . . . . . . . . . 1554--1555
R. E. Strauch Conditional Expectations of Random
Variables Without Expectations . . . . . 1556--1559
Eugene Wong and
Moshe Zakai On the Convergence of Ordinary Integrals
to Stochastic Integrals . . . . . . . . 1560--1564
H. J. Weiner Asymptotic Properties of an Age
Dependent Branching Process . . . . . . 1565--1568
H. J. Weiner An Integral Equation in Age Dependent
Branching Processes . . . . . . . . . . 1569--1573
D. N. Shanbhag A Note on Queueing Systems with
Erlangian Service Time Distributions . . 1574--1578
J. N. Darroch An Optimal Property of Principal
Components . . . . . . . . . . . . . . . 1579--1582
Peter J. Bickel Correction Notes: Corrections to ``On
Some Asymptotically Non-Parametric
Competitors of Hotelling's $ T^2 $'' . . 1583--1583
D. G. Chapman Correction Notes: Correction to ``A
Comparative Study of Several One-Sided
Goodness-of-Fit Tests'' . . . . . . . . 1583--1583
Salem H. Khamis Correction Notes: Correction to ``Some
Basic Properties of the Incomplete Gamma
Function Ratio'' . . . . . . . . . . . . 1584--1584
M. S. Srivastava Correction Notes: Correction to Abstract
``On a Multivariate Slippage Problem'' 1584--1584
Walter L. Smith Review: Emanuel Parzen,
\booktitleStochastic Processes . . . . . 1585--1591
Anonymous Abstracts of Papers . . . . . . . . . . 1592--1615
Anonymous News and Notices . . . . . . . . . . . . 1616--1624
Anonymous Publications Received . . . . . . . . . 1624--1625
J. Kiefer and
J. Wolfowitz On a Theorem of Hoel and Levine on
Extrapolation Designs . . . . . . . . . 1627--1655
Harald Cramér and
M. R. Leadbetter The Moments of the Number of Crossings
of a Level by a Stationary Normal
Process . . . . . . . . . . . . . . . . 1656--1663
Bruce McK. Johnson The Ergodicity of Series Queues with
General Priorities . . . . . . . . . . . 1664--1676
Howard M. Taylor, III Markovian Sequential Replacement
Processes . . . . . . . . . . . . . . . 1677--1694
Václav Dupa\vc A Dynamic Stochastic Approximation
Method . . . . . . . . . . . . . . . . . 1695--1702
Frank Proschan Peakedness of Distributions of Convex
Combinations . . . . . . . . . . . . . . 1703--1706
V. P. Godambe and
V. M. Joshi Admissibility and Bayes Estimation in
Sampling Finite Populations. I . . . . . 1707--1722
V. M. Joshi Admissibility and Bayes Estimation in
Sampling Finite Populations. II . . . . 1723--1729
V. M. Joshi Admissibility and Bayes Estimation in
Sampling Finite Populations. III . . . . 1730--1742
J. F. Hannan and
J. R. Van Ryzin Rate of Convergence in the Compound
Decision Problem for Two Completely
Specified Distributions . . . . . . . . 1743--1752
Peter J. Huber A Robust Version of the Probability
Ratio Test . . . . . . . . . . . . . . . 1753--1758
Jerome Klotz Alternative Efficiencies for Signed Rank
Tests . . . . . . . . . . . . . . . . . 1759--1766
Harvey J. Arnold Small Sample Power of the One Sample
Wilcoxon Test for Non-Normal Shift
Alternatives . . . . . . . . . . . . . . 1767--1778
Michael E. Tarter and
Virginia A. Clark Properties of the Median and Other Order
Statistics of Logistic Variates . . . . 1779--1786
Bob E. Ellison Multivariate-Normal Classification with
Covariances Known . . . . . . . . . . . 1787--1793
Govind S. Mudholkar A Class of Tests with Monotone Power
Functions for Two Problems in
Multivariate Statistical Analysis . . . 1794--1801
M. S. Srivastava Some Tests for the Intraclass
Correlation Model . . . . . . . . . . . 1802--1806
S. S. Shrikhande On a Class of Partially Balanced
Incomplete Block Designs . . . . . . . . 1807--1814
Junjiro Ogawa and
Goro Ishii The Relationship Algebra and the
Analysis of Variance of a Partially
Balanced Incomplete Block Design . . . . 1815--1828
K. S. Banerjee On Hotelling's Weighing Designs Under
Autocorrelation of Errors . . . . . . . 1829--1834
Leonard E. Baum and
Patrick Billingsley Asymptotic Distributions for the Coupon
Collector's Problem . . . . . . . . . . 1835--1839
D. L. Hanson and
L. H. Koopmans Convergence Rates for the Law of Large
Numbers for Linear Combinations of
Exchangeable and $^\ast $-Mixing
Stochastic Processes . . . . . . . . . . 1840--1852
George Burke A Uniform Ergodic Theorem . . . . . . . 1853--1858
Paul Switzer A Random Set Process in the Plane with a
Markovian Property . . . . . . . . . . . 1859--1863
Norton Starr On an Operator Limit Theorem of Rota . . 1864--1866
J. Sacks A note on the sequential $t$-test . . . 1867--1869
Adnan F. Ifram Hypergeometric Functions in Sequential
Analysis . . . . . . . . . . . . . . . . 1870--1872
William Knight A Lemma for Multiple Inference . . . . . 1873--1874
T. Sugiyama On the Distribution of the Latent
Vectors for Principal Component Analysis 1875--1876
M. Bhaskar Rao A note on incomplete block designs with
$ b = v $ . . . . . . . . . . . . . . . 1877--1877
Robert J. Buehler The Limit of the $n$ th Power of a
Density . . . . . . . . . . . . . . . . 1878--1882
W. Edwards Deming Principles of Professional Statistical
Practice . . . . . . . . . . . . . . . . 1883--1900
C. B. Bell and
K. A. Doksum Acknowledgment of Priority: Some New
Distribution-Free Statistics . . . . . . 1901--1901
J. J. McCall Review: Richard E. Barlow, Frank
Proschan, Larry C. Hunter,
\booktitleMathematical Theory of
Reliability . . . . . . . . . . . . . . 1902--1904
Anonymous Abstracts of Papers . . . . . . . . . . 1905--1907
Anonymous News and Notices . . . . . . . . . . . . 1908--1926
Anonymous Publications Received . . . . . . . . . 1926--1927
E. L. Lehmann On a Theorem of Bahadur and Goodman . . 1--6
Gus W. Haggstrom Optimal Stopping and Experimental Design 7--29
Joseph A. Yahav On Optimal Stopping . . . . . . . . . . 30--35
Norman Starr The Performance of a Sequential
Procedure for the Fixed-Width Interval
Estimation of the Mean . . . . . . . . . 36--50
Robert H. Berk Limiting Behavior of Posterior
Distributions when the Model is
Incorrect . . . . . . . . . . . . . . . 51--58
R. N. Rich A Statistical Basis for Approximation
and Optimization . . . . . . . . . . . . 59--65
Jerome Sacks and
Donald Ylvisaker Designs for Regression Problems with
Correlated Errors . . . . . . . . . . . 66--89
M. Tainiter Sequential Hypothesis Tests for
$r$-Dependent Marginally Stationary
Processes . . . . . . . . . . . . . . . 90--97
I. Richard Savage and
Milton Sobel and
George Woodworth Fine Structure of the Ordering of
Probabilities of Rank Orders in the Two
Sample Case . . . . . . . . . . . . . . 98--112
Peter E. Nüesch On the Problem of Testing Location in
Multivariate Populations for Restricted
Alternatives . . . . . . . . . . . . . . 113--119
C. B. Bell and
K. A. Doksum ''Optimal'' One-Sample Distribution-Free
Tests and Their Two-Sample Extensions 120--132
C. B. Bell and
J. M. Moser and
Rory Thompson Goodness Criteria for Two-Sample
Distribution-Free Tests . . . . . . . . 133--142
A. K. Md. Ehsanes Saleh and
Mir M. Ali Asymptotic Optimum Quantiles for the
Estimation of the Parameters of the
Negative Exponential Distribution . . . 143--151
M. B. Wilk and
R. Gnanadesikan and
Elizabeth Lauh Scale Parameter Estimation from the
Order Statistics of Unequal Gamma
Components . . . . . . . . . . . . . . . 152--176
D. C. Boes On the Estimation of Mixing
Distributions . . . . . . . . . . . . . 177--188
T. Cacoullos On a Class of Admissible Partitions . . 189--195
H. S. Konijn Statistical Reproduction of Orderings
and Translation Subfamilies . . . . . . 196--202
Norman Morse and
Richard Sacksteder Statistical Isomorphism . . . . . . . . 203--214
A. G. Constantine The Distribution of Hotelling's
Generalised $ T_0^2 $ . . . . . . . . . 215--225
Eugene Dayhoff Generalized Polykays, an Extension of
Simple Polykays and Bipolykays . . . . . 226--241
Agnes M. Herzberg Cylindrically Rotatable Designs . . . . 242--247
S. M. Samuels On a Chebyshev-Type Inequality for Sums
of Independent Random Variables . . . . 248--259
M. R. Leadbetter On Crossings of Levels and Curves by a
Wide Class of Stochastic Processes . . . 260--267
David A. Freedman Equivalence and Singularity for Friedman
Urns . . . . . . . . . . . . . . . . . . 268--270
Charles Stone On Absolutely Continuous Components and
Renewal Theory . . . . . . . . . . . . . 271--275
Cyrus Derman and
Ralph E. Strauch A Note on Memoryless Rules for
Controlling Sequential Control Processes 276--278
S. Kullback and
M. A. Khairat A Note on Minimum Discrimination
Information . . . . . . . . . . . . . . 279--280
W. Molenaar and
W. R. van Zwet On Mixtures of Distributions . . . . . . 281--283
Roger A. Shorack Recursive Generation of the Distribution
of the Mann--Whitney--Wilcoxon
$U$-Statistic Under Generalized Lehmann
Alternatives . . . . . . . . . . . . . . 284--286
H. A. David A Note on ``A $k$-Sample Model in Order
Statistics'' by W. J. Conover . . . . . 287--288
M. V. Menon Another Characteristic Property of the
Cauchy Distribution . . . . . . . . . . 289--294
R. M. Loynes On Idempotent Matrices . . . . . . . . . 295--296
Ingram Olkin and
Herman Rubin Correction Note: Correction to
``Multivariate Beta Distributions and
Independence Properties of the Wishart
Distribution'' . . . . . . . . . . . . . 297--297
M. Rosenblatt Review: Richard Bellman,
\booktitleStochastic Processes in
Mathematical Physics and Engineering . . 298--300
Harold Ruben Review: Kenneth S. Miller,
\booktitleMultidimensional Gaussian
Distributions . . . . . . . . . . . . . 301--307
G. S. Watson Review: Frederick Mosteller, David L.
Wallace, \booktitleInference and
Disputed Authorship: The Federalist . . 308--312
Anonymous Abstracts of Papers . . . . . . . . . . 313--315
Anonymous News and Notices . . . . . . . . . . . . 316--318
Anonymous Publications Received . . . . . . . . . 318--319
L. A. Shepp Radon-Nikodým derivatives of Gaussian
measures . . . . . . . . . . . . . . . . 321--354
A. P. Dempster New Methods for Reasoning Towards
Posterior Distributions Based on Sample
Data . . . . . . . . . . . . . . . . . . 355--374
David A. Freedman A Note on Mutual Singularity of Priors 375--381
Y. S. Chow On the Moments of Some One-sided
Stopping Rules . . . . . . . . . . . . . 382--387
Y. S. Chow and
H. Teicher On Second Moments of Stopping Rules . . 388--392
M. Frank Norman Limiting Distributions for Some Random
Walks Arising in Learning Models . . . . 393--405
S. C. Port A System of Denumerably Many Transient
Markov Chains . . . . . . . . . . . . . 406--411
J. R. Van Ryzin The Compound Decision Problem with $ m
\times n $ Finite Loss Matrix . . . . . 412--424
Adnan F. Ifram On the Sample Size and Simplification of
a Class of Sequential Probability Ratio
Tests . . . . . . . . . . . . . . . . . 425--434
Sylvain Ehrenfeld On a Minimal Essentially Complete Class
of Experiments . . . . . . . . . . . . . 435--440
Friedrich Gebhardt On the Effect of Stragglers on the Risk
of Some Mean Estimators in Small Samples 441--450
Dorian Feldman and
Howard G. Tucker Estimation of Non-Unique Quantiles . . . 451--457
Arthur Cohen All Admissible Linear Estimates of the
Mean Vector . . . . . . . . . . . . . . 458--463
Leon J. Gleser A Note on the Sphericity Test . . . . . 464--467
C. G. Khatri On Certain Distribution Problems Based
on Positive Definite Quadratic Functions
in Normal Vectors . . . . . . . . . . . 468--479
Sheldon James Press Linear Combinations of Non-Central
Chi-Square Variates . . . . . . . . . . 480--487
Joseph B. Kadane Some Equivalence Classes in Paired
Comparisons . . . . . . . . . . . . . . 488--494
J. A. Hartigan Probabilistic Completion of a Knockout
Tournament . . . . . . . . . . . . . . . 495--503
C. C. Ganser Infinitely Differentiable Positive
Definite Functions . . . . . . . . . . . 504--508
Lawrence H. Harper A Family of Combinatorial Identities . . 509--512
Harold J. Kushner A Note on the Maximum Sample Excursions
of Stochastic Approximation Processes 513--516
Harry Dym and
Eugene M. Luks On the Mean Duration of a Ball and Cell
Game; A First Passage Problem . . . . . 517--521
Harry Dym A Note on Limit Theorems for the Entropy
of Markov Chains . . . . . . . . . . . . 522--524
Hiralal Agrawal Some Generalizations of Distinct
Representatives with Applications to
Statistical Designs . . . . . . . . . . 525--528
P. A. P. Moran Review: N. U. Prabhu, \booktitleQueues
and Inventories . . . . . . . . . . . . 529--530
Charlotte Striebel Review: Norman T. J. Bailey,
\booktitleThe Elements of Stochastic
Processes with Applications to the
Natural Sciences . . . . . . . . . . . . 531--531
Mervin E. Muller Review: J. M. Hammersley, D. C.
Handscomb, \booktitleMonte Carlo
Methods; Yu. A. Shreider,
\booktitleMethods of Statistical
Testing/Monte Carlo Method . . . . . . . 532--538
Anonymous Abstracts of Papers . . . . . . . . . . 539--555
Anonymous News and Notices . . . . . . . . . . . . 556--564
Anonymous Publications Received . . . . . . . . . 564--565
Dale E. Varberg Convergence of Quadratic Forms in
Independent Random Variables . . . . . . 567--576
R. R. Bahadur A Note on Quantiles in Large Samples . . 577--580
R. H. Farrell Bounded Length Confidence Intervals for
the $p$-Point of a Distribution
Function, II . . . . . . . . . . . . . . 581--585
R. H. Farrell Bounded Length Confidence Intervals for
the $p$-Point of a Distribution
Function, III . . . . . . . . . . . . . 586--592
P. V. Ramachandramurty On Some Nonparametric Estimates for
Shift in the Behrens--Fisher Situation 593--610
Ryoji Tamura Multivariate Nonparametric
Several-Sample Tests . . . . . . . . . . 611--618
Kjell Doksum Asymptotically Minimax Distribution-free
Procedures . . . . . . . . . . . . . . . 619--628
V. M. Joshi Admissibility of Confidence Intervals 629--638
M. Ray Mickey and
Morton B. Brown Bounds on the Distribution Functions of
the Behrens--Fisher Statistic . . . . . 639--642
R. B. Hora and
R. J. Buehler Fiducial Theory and Invariant Estimation 643--656
Sakti P. Ghosh Polychotomy Sampling . . . . . . . . . . 657--665
G. H. Freeman Some Non-Orthogonal Partitions of $ 4
\times 4, 5 \times 5 $ and $ 6 \times 6
$ Latin Squares . . . . . . . . . . . . 666--681
N. Donald Ylvisaker On a theorem of Cramér and Leadbetter . . 682--685
David A. Freedman On Two Equivalence Relations between
Measures . . . . . . . . . . . . . . . . 686--689
S. Johansen and
J. Karush On the Semimartingale Convergence
Theorem . . . . . . . . . . . . . . . . 690--694
Bernt P. Stigum A theorem on the Galton--Watson process 695--698
C. C. Heyde Some Renewal Theorems with Application
to a First Passage Problem . . . . . . . 699--710
L. H. Koopmans Convergence Rates for the Law of Large
Numbers for Linear Combinations of
Markov Processes . . . . . . . . . . . . 711--719
Paul G. Hoel A Simple Solution for Optimal Chebyshev
Regression Extrapolation . . . . . . . . 720--725
J. Wolfowitz Remark on the Optimum Character of the
Sequential Probability Ratio Test . . . 726--727
Lester E. Dubins A Note on Upcrossings of Semimartingales 728--728
N. C. Jain A Note on Invariant Measures . . . . . . 729--732
P. R. Krishnaiah and
M. Haseeb Rizvi A Note on Recurrence Relations between
Expected Values of Functions of Order
Statistics . . . . . . . . . . . . . . . 733--734
Myles Hollander An Asymptotically Distribution-free
Multiple Comparison Procedure ---
Treatments vs. Control . . . . . . . . . 735--738
Hira Lal Agrawal Comparison of the Bounds of the Number
of Common Treatments between Blocks of
Certain Partially Balanced Incomplete
Block Designs . . . . . . . . . . . . . 739--740
Tom R. Houston Sequential counterbalancing in Latin
squares . . . . . . . . . . . . . . . . 741--743
Peter W. Zehna Invariance of Maximum Likelihood
Estimators . . . . . . . . . . . . . . . 744--744
David J. Sakrison Correction Notes: Correction to ``A
Continuous Kiefer--Wolfowitz Procedure
for Random Processes'' . . . . . . . . . 745--745
Robert H. Berk Correction Notes: Correction to Limiting
Behavior of Posterior Distributions when
the Model is Incorrect . . . . . . . . . 745--746
Eugene Dayhoff Correction Notes: Correction to
``Generalized Polykays, an Extension of
Simple Polykays and Bipolykays'' . . . . 746--746
D. V. Lindley Review: Richard von Mises, Hilda
Geiringer, \booktitleMathematical Theory
of Probability and Statistics . . . . . 747--754
D. L. Hanson Review: Klaus Krickeberg,
\booktitleProbability Theory . . . . . . 755--756
D. B. Owen Review: L. N. Bolshev, V. N. Smirnov,
\booktitleMathematical Statistical
Tables . . . . . . . . . . . . . . . . . 757--758
Anonymous Abstracts of Papers . . . . . . . . . . 759--775
Anonymous News and Notices . . . . . . . . . . . . 776--781
Anonymous Publications Received . . . . . . . . . 781--781
Samuel Karlin and
William J. Studden Optimal Experimental Designs . . . . . . 783--815
Z. W. Birnbaum and
J. D. Esary and
A. W. Marshall A Stochastic Characterization of
Wear-out for Components and Systems . . 816--825
Siv Carlsson and
Ulf Grenander Some Properties of Statistical
Reliability Functions . . . . . . . . . 826--836
Lester E. Dubins and
David A. Freedman Invariant Probabilities for Certain
Markov Processes . . . . . . . . . . . . 837--848
J. R. Kinney and
T. S. Pitcher Dimensional Properties of a Random
Distribution Function on the Square . . 849--854
Walter A. Rosenkrantz A Local Limit Theorem for a Certain
Class of Random Walks . . . . . . . . . 855--859
R. H. Farrell Limit theorems for stopped random walks.
II . . . . . . . . . . . . . . . . . . . 860--865
Julian Keilson A Limit Theorem for Passage Times in
Ergodic Regenerative Processes . . . . . 866--870
Ralph E. Strauch Negative Dynamic Programming . . . . . . 871--890
Aaron S. Goldman and
R. K. Zeigler Comparisons of Some Two Stage Sampling
Methods . . . . . . . . . . . . . . . . 891--897
A. Levine A Problem in Minimax Variance Polynomial
Extrapolation . . . . . . . . . . . . . 898--903
Saul Blumenthal Contributions to Sample Spacings Theory,
I: Limit Distributions of Sums of Ratios
of Spacings . . . . . . . . . . . . . . 904--924
Saul Blumenthal Contributions to Sample Spacings Theory,
II: Tests of the Parametric Goodness of
Fit and Two-sample Problems . . . . . . 925--939
P. V. Ramachandramurty On the Pitman Efficiency of One-sided
Kolmogorov and Smirnov Tests for Normal
Alternatives . . . . . . . . . . . . . . 940--944
George E. Haynam and
Zakkula Govindarajulu Exact Power of Mann--Whitney Test for
Exponential and Rectangular Alternatives 945--953
J. Van Ryzin The Sequential Compound Decision Problem
with $ m \times n $ Finite Loss Matrix 954--975
J. Van Ryzin Repetitive Play in Finite Statistical
Games with Unknown Distributions . . . . 976--994
T. Sugiyama On the Distribution of the Largest
Latent Root and the Corresponding Latent
Vector for Principal Component Analysis 995--1001
B. K. Shah On the Bivariate Moments of Order
Statistics from a Logistic Distribution 1002--1010
Zakkula Govindarajulu Characterization of Normal and
Generalized Truncated Normal
Distributions Using Order Statistics . . 1011--1015
S. M. Shah On the Block Structure of Certain
Partially Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 1016--1020
K. S. Banerjee Singularity in Hotelling's Weighing
Designs and a Generalized Inverse . . . 1021--1032
K. S. Banerjee and
W. T. Federer On Estimation and Construction in
Fractional Replication . . . . . . . . . 1033--1039
Charles Stone The Growth of a Recurrent Random Walk 1040--1041
Ashok Maitra A Note on Undiscounted Dynamic
Programming . . . . . . . . . . . . . . 1042--1044
M. T. Subrahmanya A Note on a Biased Estimator in Sampling
with Probability Proportional to Size
with Replacement . . . . . . . . . . . . 1045--1047
Damaraju Raghavarao Duals of Partially Balanced Incomplete
Block Designs and some Nonexistence
Theorems . . . . . . . . . . . . . . . . 1048--1052
Leon Jay Gleser Correction Note: Correction to ``On the
Asymptotic Theory of Fixed-Size
Sequential Confidence Bounds for Linear
Regression Parameters'' . . . . . . . . 1053--1055
Herman Chernoff Review: Dennis V. Lindley, Introduction
to Probability and Statistics from a
Bayesian Viewpoint, \booktitleVols. 1
and 2 . . . . . . . . . . . . . . . . . 1056--1059
F. Spitzer Review: K. Ito, H. P. Mc Kean,
\booktitleDiffusion Processes and their
Sample Paths . . . . . . . . . . . . . . 1060--1062
W. J. LeVeque Review: J. Kubilius, Gretchen Burgie,
Susan Schuur, \booktitleProbabilistic
Methods in the Theory of Numbers . . . . 1063--1065
Anonymous Abstracts of Papers . . . . . . . . . . 1066--1078
Anonymous News and Notices . . . . . . . . . . . . 1079--1085
Anonymous Publications Received . . . . . . . . . 1085--1086
Lawrence David Brown On the Admissibility of Invariant
Estimators of One or More Location
Parameters . . . . . . . . . . . . . . . 1087--1136
E. L. Lehmann Some Concepts of Dependence . . . . . . 1137--1153
I. Richard Savage and
J. Sethuraman Stopping Time of a Rank-Order Sequential
Probability Ratio Test Based on Lehmann
Alternatives . . . . . . . . . . . . . . 1154--1160
W. Schaafsma and
L. J. Smid Most Stringent Somewhere Most Powerful
Tests Against Alternatives Restricted by
a Number of Linear Inequalities . . . . 1161--1172
Norman Starr On the Asymptotic Efficiency of a
Sequential Procedure for Estimating the
Mean . . . . . . . . . . . . . . . . . . 1173--1185
Om P. Aggarwal Bayes and Minimax Procedures for
Estimating the Arithmetic Mean of a
Population with Two-stage Sampling . . . 1186--1195
Z. Kander and
S. Zacks Test Procedures for Possible Changes in
Parameters of Statistical Distributions
Occurring at Unknown Time Points . . . . 1196--1210
H. Kesten and
B. P. Stigum A Limit Theorem for Multidimensional
Galton--Watson Processes . . . . . . . . 1211--1223
Millu Rosenblatt-Roth Some Limit Theorems for Non-homogeneous
Markov Chains . . . . . . . . . . . . . 1224--1236
Eugene R. Rodemich Spectral Estimates Using Nonlinear
Functions . . . . . . . . . . . . . . . 1237--1256
John W. Van Ness Asymptotic Normality of Bispectral
Estimates . . . . . . . . . . . . . . . 1257--1272
Robert H. Rodine Perfect Probability Measures and Regular
Conditional Probabilities . . . . . . . 1273--1278
Tim Robertson A Representation for Conditional
Expectations Given $ \sigma $-Lattices 1279--1283
Arthur F. Veinott, Jr. On Finding Optimal Policies in Discrete
Dynamic Programming with No Discounting 1284--1294
Michael Woodroofe Statistical Properties of the Number of
Positive Sums . . . . . . . . . . . . . 1295--1304
J. L. Allen and
J. A. Beekman A Statistical Test Involving a Random
Number of Random Variables . . . . . . . 1305--1311
C. G. Khatri and
K. C. S. Pillai On the Moments of the Trace of a Matrix
and Approximations to Its Non-Central
Distribution . . . . . . . . . . . . . . 1312--1318
P. C. Consul On the Exact Distributions of the
Likelihood Ratio Criteria for Testing
Linear Hypotheses About Regression
Coefficients . . . . . . . . . . . . . . 1319--1330
Vida L. Greenberg Robust Estimation in Incomplete Blocks
Designs . . . . . . . . . . . . . . . . 1331--1337
Frank B. Martin and
George Zyskind On Combinability of Information from
Uncorrelated Linear Models by Simple
Weighting . . . . . . . . . . . . . . . 1338--1347
R. G. Stanton and
R. C. Mullin Inductive Methods for Balanced
Incomplete Block Designs . . . . . . . . 1348--1354
Esther Seiden and
Rita Zemach On Orthogonal Arrays . . . . . . . . . . 1355--1370
M. Bhaskar Rao Weighing designs when $n$ is odd . . . . 1371--1381
S. Zacks Randomized Fractional Weighing Designs 1382--1395
D. G. Austin A Sample Function Property of
Martingales . . . . . . . . . . . . . . 1396--1397
C. H. Kapadia On the Block Structure of Singular Group
Divisible Designs . . . . . . . . . . . 1398--1400
C. Ramankutty Nair On Partially Linked Block Designs . . . 1401--1406
John W. Pratt Acknowledgment of Priority: On
Interchanging Limits and Integrals . . . 1407--1407
Ronald K. Getoor Review: E. B. Dynkin, J. Fabins, V.
Greenberg, A. Maitra, G. Majone,
\booktitleMarkov Processes, Volumes I
and II . . . . . . . . . . . . . . . . . 1408--1409
Peter Ney Review: W. Smith, W. Wilkinson,
\booktitleProceedings of Symposium on
Congestion Theory . . . . . . . . . . . 1410--1411
David Middleton Review: Ralph Deutsch,
\booktitleEstimation Theory . . . . . . 1412--1413
Anonymous Abstracts of Papers . . . . . . . . . . 1414--1433
Anonymous News and Notices . . . . . . . . . . . . 1434--1436
Anonymous Publications Received . . . . . . . . . 1436--1437
Ronald Pyke and
Ronald Schaufele The Existence and Uniqueness of
Stationary Measures for Markov Renewal
Processes . . . . . . . . . . . . . . . 1439--1462
H. Kesten and
B. P. Stigum Additional Limit Theorems for
Indecomposable Multidimensional
Galton--Watson Processes . . . . . . . . 1463--1481
Y. S. Chow Some Convergence Theorems for
Independent Random Variables . . . . . . 1482--1493
D. L. Burkholder Martingale Transforms . . . . . . . . . 1494--1504
Lester E. Dubins and
David A. Freedman On the Expected Value of a Stopped
Martingale . . . . . . . . . . . . . . . 1505--1509
R. H. Farrell Limit theorems for stopped random walks.
III . . . . . . . . . . . . . . . . . . 1510--1527
D. Newton and
W. Parry On a Factor Automorphism of a Normal
Dynamical System . . . . . . . . . . . . 1528--1533
J. H. Venter On Dvoretzky Stochastic Approximation
Theorems . . . . . . . . . . . . . . . . 1534--1544
Cyrus Derman Denumerable State Markovian Decision
Processes-Average Cost Criterion . . . . 1545--1553
Leonard E. Baum and
Ted Petrie Statistical Inference for Probabilistic
Functions of Finite State Markov Chains 1554--1563
M. T. Boswell Estimating and Testing Trend in a
Stochastic Process of Poisson Type . . . 1564--1573
Richard E. Barlow and
Frank Proschan Inequalities for Linear Combinations of
Order Statistics from Restricted
Families . . . . . . . . . . . . . . . . 1574--1592
Richard E. Barlow and
Frank Proschan Tolerance and Confidence Limits for
Classes of Distributions Based on
Failure Rate . . . . . . . . . . . . . . 1593--1601
Arthur Albert Fixed Size Confidence Ellipsoids for
Linear Regression Parameters . . . . . . 1602--1630
Hirokichi Kud\=o On the Property (W) of the Class of
Statistical Decision Functions . . . . . 1631--1642
Wayne Nelson Minimax Solution of Statistical Decision
Problems by Iteration . . . . . . . . . 1643--1657
V. M. Joshi Admissibility and Bayes Estimation in
Sampling Finite Populations-IV . . . . . 1658--1670
J. K. Ghosh and
Rajinder Singh Unbiased Estimation of Location and
Scale Parameters . . . . . . . . . . . . 1671--1675
C. Villegas On the Asymptotic Efficiency of Least
Squares Estimators . . . . . . . . . . . 1676--1683
J. Tiago de Oliveira Quasi-Linearly Invariant Prediction . . 1684--1687
S. Zacks Sequential Estimation of the Mean of a
Log-Normal Distribution Having a
Prescribed Proportional Closeness . . . 1688--1696
Kumar Jogdeo On Randomized Rank Score Procedures of
Bell and Doksum . . . . . . . . . . . . 1697--1703
William D. Lawing and
H. T. David Likelihood Ratio Computations of
Operating Characteristics . . . . . . . 1704--1716
A. K. Md. Ehsanes Saleh Estimation of the Parameters of the
Exponential Distribution Based on
Optimum Order Statistics in Censored
Samples . . . . . . . . . . . . . . . . 1717--1735
Govind S. Mudholkar On Confidence Bounds Associated with
Multivariate Analysis of Variance and
Non-Independence Between Two Sets of
Variates . . . . . . . . . . . . . . . . 1736--1746
Dana Quade On Analysis of Variance for the
$K$-Sample Problem . . . . . . . . . . . 1747--1758
Pranab Kumar Sen On a Distribution-free Method of
Estimating Asymptotic Efficiency of a
Class of Non-parametric Tests . . . . . 1759--1770
Shoutir Kishore Chatterjee A Bivariate Sign Test for Location . . . 1771--1782
Esther Seiden A Note on Construction of Partially
Balanced Incomplete Block Designs with
Parameters $ v = 28 $, $ n_1 = 12 $, $
n_2 = 15 $, and $ p^2_{11} = 4 $ . . . . 1783--1789
Gordon B. Crawford Characterization of Geometric and
Exponential Distributions . . . . . . . 1790--1795
Thomas M. Cover The Probability that a Random Game is
Unfair . . . . . . . . . . . . . . . . . 1796--1799
J. L. Denny Convergence Properties of Convergence
with Probability One . . . . . . . . . . 1800--1802
Ragnar Ericson On Moments of Cumulative Sums . . . . . 1803--1805
Howard J. Weiner Monotone Convergence of Moments in Age
Dependent Branching Processes . . . . . 1806--1808
Richard Morton and
M. Raghavachari On a Theorem of Karlin Regarding
Admissibility of Linear Estimates in
Exponential Populations . . . . . . . . 1809--1813
Terrence Fine On the Hodges and Lehmann Shift
Estimator in the Two Sample Problem . . 1814--1818
P. K. Bhattacharya Estimating the Mean of a Multivariate
Normal Population with General Quadratic
Loss Function . . . . . . . . . . . . . 1819--1824
F. Eicker A Multivariate Central Limit Theorem for
Random Linear Vector Forms . . . . . . . 1825--1828
V. Seshadri A Characteristic Property of the
Multivariate Normal Distribution . . . . 1829--1831
V. Seshadri Comparison of Combined Estimators in
Balanced Incomplete Blocks . . . . . . . 1832--1835
K. S. Banerjee On Non-randomized Fractional Weighing
Designs . . . . . . . . . . . . . . . . 1836--1841
Peter W. M. John On Identity Relationships for $ 2_{n -
r} $ Designs Having Words of Equal
Length . . . . . . . . . . . . . . . . . 1842--1843
D. Vere-Jones Note on a Theorem of Kingman and a
Theorem of Chung . . . . . . . . . . . . 1844--1846
S. N. Singh Correction Note: Correction to Abstract
``A Test of Inflation in Poisson
Distribution'' . . . . . . . . . . . . . 1847--1847
N. U. Prabhu Review: D. R. Cox, H. D. Miller,
\booktitleThe Theory of Stochastic
Processes . . . . . . . . . . . . . . . 1848--1851
E. J. Hannan Review: D. R. Cox, P. A. W. Lewis,
\booktitleThe Statistical Analysis of
Series of Events . . . . . . . . . . . . 1852--1853
Cyrus Derman Review: G. De Leve,
\booktitleGeneralized Markovian Decision
Processes --- Parts I and II . . . . . . 1854--1855
Frank Knight Review: Paul A. Meyer,
\booktitleProbability and Potentials . . 1856--1857
Anonymous Abstracts . . . . . . . . . . . . . . . 1858--1866
Anonymous News and Notices . . . . . . . . . . . . 1867--1887
Anonymous Publications Received . . . . . . . . . 1887--1888
David A. Freedman Some Invariance Principles for
Functionals of a Markov Chain . . . . . 1--7
R. A. Wijsman General Proof of Termination with
Probability One of Invariant Sequential
Probability Ratio Tests Based on
Multivariate Normal Observations . . . . 8--24
Simeon M. Berman An Occupation Time Theorem for the
Angular Component of Plane Brownian
Motion . . . . . . . . . . . . . . . . . 25--31
R. P. Boas, Jr. Lipschitz Behavior and Integrability of
Characteristic Functions . . . . . . . . 32--36
Leon E. Borgman Random Hydrodynamic Forces on Objects 37--51
Herman Chernoff and
Joseph L. Gastwirth and
M. V. Johns, Jr. Asymptotic Distribution of Linear
Combinations of Functions of Order
Statistics with Applications to
Estimation . . . . . . . . . . . . . . . 52--72
P. J. Bickel and
J. L. Hodges, Jr. The Asymptotic Theory of Galton's Test
and a Related Simple Estimate of
Location . . . . . . . . . . . . . . . . 73--89
K. L. Mehra and
J. Sarangi Asymptotic Efficiency of Certain Rank
Tests for Comparative Experiments . . . 90--107
Saul Blumenthal Limit Theorems for Functions of Shortest
Two-Sample Spacings and a Related Test 108--116
Edward Paulson Sequential Procedures for Selecting the
Best One of Several Binomial Populations 117--123
Morris L. Eaton Some Optimum Properties of Ranking
Procedures . . . . . . . . . . . . . . . 124--137
Paul Switzer Reconstructing Patterns from Sample Data 138--154
Morris Skibinsky Adequate Subfields and Sufficiency . . . 155--161
M. M. Siddiqui A bivariate $t$ distribution . . . . . . 162--166
Agnes M. Herzberg Cylindrically Rotatable Designs of Types
$1$, $2$ and $3$ . . . . . . . . . . . . 167--176
Agnes M. Herzberg A Method for the Construction of Second
Order Rotatable Designs in $k$
Dimensions . . . . . . . . . . . . . . . 177--180
J. H. Venter An extension of the Robbins--Monro
procedure . . . . . . . . . . . . . . . 181--190
Václav Fabian Stochastic Approximation of Minima with
Improved Asymptotic Speed . . . . . . . 191--200
J. W. Carlyle Identification of State-calculable
Functions of Finite Markov Chains . . . 201--205
Frederick W. Leysieffer Functions of Finite Markov Chains . . . 206--212
Thomas M. Cover and
Bradley Efron Geometrical Probability and Random
Points on a Hypersphere . . . . . . . . 213--220
Torsten Norvig Consensus of Subjective Probabilities: A
Convergence Theorem . . . . . . . . . . 221--225
Hwa Sung Na and
Anatol Rapoport A Formula for the Probability of
Obtaining a Tree from a Graph
Constructed Randomly Except for an
``Exogamous Bias'' . . . . . . . . . . . 226--241
David R. Thomas and
H. T. David Game value distributions. I . . . . . . 242--250
David R. Thomas Game value distributions. II . . . . . . 251--260
Thomas Kailath On Measures Equivalent to Wiener Measure 261--263
A. Joffe On the Galton--Watson Branching Process
with Mean Less than One . . . . . . . . 264--266
A. D. Joffe Minimum Chi-Squared Estimation Using
Independent Statistics . . . . . . . . . 267--270
A. A. Rayner and
R. M. Pringle A Note on Generalized Inverses in the
Linear Hypothesis Not of Full Rank . . . 271--273
A. P. Basu and
George Woodworth A Note on Nonparametric Tests for Scale 274--277
Alastair Scott A Note on Conservative Confidence
Regions for the Mean of a Multivariate
Normal . . . . . . . . . . . . . . . . . 278--280
Irving W. Burr Correction Note: Correction to
``Calculation of Exact Sampling
Distribution of Ranges from a Discrete
Population'' . . . . . . . . . . . . . . 280--280
Franklin A. Graybill Review: C. R. Rao, \booktitleLinear
Statistical Inference and Its
Applications . . . . . . . . . . . . . . 281--284
Arshag Hajian Review: Patrick Billingsley,
\booktitleErgodic Theory and Information 285--286
R. K. Getoor Review: A. V. Skorokhod,
\booktitleStudies in the Theory of
Random Processes . . . . . . . . . . . . 287--287
H. O. Wold Review: C. W. J. Granger, M. Hatanaka,
\booktitleSpectral Analysis of Economic
Time Series . . . . . . . . . . . . . . 288--293
D. B. Owen Review: L. S. Bark, L. N. Bolshev, P. I.
Kuznetsov, A. P. Cherenkov,
\booktitleTables of the Rayleigh--Rice
Distributions . . . . . . . . . . . . . 294--296
Anonymous Abstracts of Papers . . . . . . . . . . 297--299
Anonymous News and Notices . . . . . . . . . . . . 300--301
Anonymous Publications Received . . . . . . . . . 301--302
R. R. Bahadur Rates of Convergence of Estimates and
Test Statistics . . . . . . . . . . . . 303--324
A. P. Dempster Upper and Lower Probabilities Induced by
a Multivalued Mapping . . . . . . . . . 325--339
Richard E. Schwartz Locally Minimax Tests . . . . . . . . . 340--359
A. Bruce Hoadley On the Probability of Large Deviations
of Functions of Several Empirical CDF's 360--381
Bengt Rosén On an Inequality of Hoeffding . . . . . 382--392
Govind S. Mudholkar and
Poduri S. R. S. Rao Some Sharp Multivariate Tchebycheff
Inequalities . . . . . . . . . . . . . . 393--400
Milton Philip Olson The Theory of Experiment: Operational
Definition of the Probability Space . . 401--409
L. H. Harper Stirling Behavior is Asymptotically
Normal . . . . . . . . . . . . . . . . . 410--414
J. Pfanzagl Characterizations of Conditional
Expectations . . . . . . . . . . . . . . 415--421
Emil Spjòtvoll Optimum Invariant Tests in Unbalanced
Variance Components Models . . . . . . . 422--428
C. B. Bell and
K. A. Doksum Distribution-Free Tests of Independence 429--446
Robert Cogburn Stringent Solutions to Statistical
Decision Problems . . . . . . . . . . . 447--463
W. Schüler Multistage Sampling Procedures Based on
Prior Distributions and Costs . . . . . 464--470
R. H. Farrell On the Lack of a Uniformly Consistent
Sequence of Estimators of a Density
Function in Certain Cases . . . . . . . 471--474
Michael Woodroofe On the Maximum Deviation of the Sample
Density . . . . . . . . . . . . . . . . 475--481
Tim Robertson On Estimating a Density which is
Measurable with Respect to a $ \sigma
$-Lattice . . . . . . . . . . . . . . . 482--493
Milton C. Chew, Jr. A Sequential Search Procedure . . . . . 494--502
James M. Dickey Expansions of $t$ Densities and Related
Complete Integrals . . . . . . . . . . . 503--510
James M. Dickey Matricvariate Generalizations of the
Multivariate $t$ Distribution and the
Inverted Multivariate $t$ Distribution 511--518
Wolfgang J. Bühler The Treatment of Ties in the Wilcoxon
Test . . . . . . . . . . . . . . . . . . 519--522
K. L. Mehra and
M. L. Puri Multi-Sample Analogues of Some
One-Sample Tests . . . . . . . . . . . . 523--549
M. S. Srivastava Comparing Distances between Multivariate
Populations --- The Problem of Minimum
Distance . . . . . . . . . . . . . . . . 550--556
H. Leon Harter and
Albert H. Moore Asymptotic Variances and Covariances of
Maximum-Likelihood Estimators, from
Censored Samples, of the Parameters of
Weibull and Gamma Populations . . . . . 557--570
Dale M. Mesner A New Family of Partially Balanced
Incomplete Block Designs with Some Latin
Square Design Properties . . . . . . . . 571--581
Cyrus Derman and
Arthur F. Veinott, Jr. A Solution to a Countable System of
Equations Arising in Markovian Decision
Processes . . . . . . . . . . . . . . . 582--584
Ronald A. Schaufele A Potential Theoretic Proof of a Theorem
of Derman and Veinott . . . . . . . . . 585--587
Richard Isaac On Stationary Markov Processes . . . . . 588--592
T. Subba Rao On the Cross Periodogram of a Stationary
Gaussian Vector Process . . . . . . . . 593--597
David A. Freedman A Remark on the Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 598--600
Lester E. Dubins and
Henry Teicher Optimal Stopping When the Future is
Discounted . . . . . . . . . . . . . . . 601--605
H. Chernoff A Note on Risk and Maximal Regular
Generalized Submartingales in Stopping
Problems . . . . . . . . . . . . . . . . 606--607
Y. S. Chow On the Expected Value of a Stopped
Submartingale . . . . . . . . . . . . . 608--609
Y. S. Chow On a Strong Law of Large Numbers for
Martingales . . . . . . . . . . . . . . 610--610
J. Pfanzagl A Technical Lemma for Monotone
Likelihood Ratio Families . . . . . . . 611--612
A. W. Davis A Counter-Example Relating to Certain
Multivariate Generalizations of $t$ and
$F$ . . . . . . . . . . . . . . . . . . 613--615
K. C. Sreedharan Pillai On the Distribution of the Largest Root
of a Matrix in Multivariate Analysis . . 616--617
Peter W. M. John On Obtaining Balanced Incomplete Block
Designs from Partially Balanced
Association Schemes . . . . . . . . . . 618--619
M. C. K. Tweedie A Mean-Square-Error Characterization of
Binomial-Type Distributions . . . . . . 620--623
S. M. Shah Correction Note: Correction to ``On the
Block Structure of Certain Partially
Balanced Incomplete Block Designs'' . . 624--624
R. M. Blumenthal Review: J. Neveu, Amiel Feinstein,
\booktitleMathematical Foundations of
the Calculus of Probability . . . . . . 624--625
Meyer Dwass Review: N. U. Prabhu,
\booktitleStochastic Processes . . . . . 626--626
J. Wolfowitz Review: Robert Ash,
\booktitleInformation Theory . . . . . . 627--627
R. Gnanadesikan Review: Tito A. Mijares,
\booktitlePercentage Points of the Sum $
V^(s)_1 $ of $s$ Roots ($s = 1$--$50$) A
Unified Table for Tests of Significance
in Various Univariate and Multivariate
Hypotheses . . . . . . . . . . . . . . . 628--631
D. B. Owen Review: E. S. Pearson, H. O. Hartley,
Biometrika Tables for Statisticians,
\booktitleVolume I . . . . . . . . . . . 632--633
Anonymous Abstracts . . . . . . . . . . . . . . . 634--643
Anonymous News and Notices . . . . . . . . . . . . 644--657
Anonymous Publications Received . . . . . . . . . 658--658
W. R. van Zwet and
J. Oosterhoff On the Combination of Independent Test
Statistics . . . . . . . . . . . . . . . 659--680
T. K. Matthes and
D. R. Truax Tests of Composite Hypotheses for the
Multivariate Exponential Family . . . . 681--697
Richard Schwartz Admissible Tests in Multivariate
Analysis of Variance . . . . . . . . . . 698--710
J. A. Bather On a Quickest Detection Problem . . . . 711--724
Richard F. Gundy The Martingale Version of a Theorem of
Marcinkiewicz and Zygmund . . . . . . . 725--734
Rafael Panzone Alternative Proofs for Certain
Upcrossing Inequalities . . . . . . . . 735--741
D. L. Hanson Some Results Relating Moment Generating
Functions and Convergence Rates in the
Law of Large Numbers . . . . . . . . . . 742--750
H. D. Miller A Note on Sums of Independent Random
Variables with Infinite First Moment . . 751--758
Marcel F. Neuts A General Class of Bulk Queues with
Poisson Input . . . . . . . . . . . . . 759--770
Jay R. Goldman Stochastic point processes: Limit
theorems . . . . . . . . . . . . . . . . 771--779
R. Duncan Luce Sufficient Conditions for the Existence
of a Finitely Additive Probability
Measure . . . . . . . . . . . . . . . . 780--786
Richard Sacksteder A Note on Statistical Equivalence . . . 787--794
R. B. Hora and
R. J. Buehler Fiducial Theory and Invariant Prediction 795--801
Bradley Efron The Power of the Likelihood Ratio Test 802--806
Seymour Geisser Estimation Associated with Linear
Discriminants . . . . . . . . . . . . . 807--817
M. Stone Generalized Bayes Decision Functions,
Admissibility and the Exponential Family 818--822
Samuel Kotz and
N. L. Johnson and
D. W. Boyd Series Representations of Distributions
of Quadratic Forms in Normal Variables.
I. Central Case . . . . . . . . . . . . 823--837
Samuel Kotz and
N. L. Johnson and
D. W. Boyd Series Representations of Distributions
of Quadratic Forms in Normal Variables
II. Non-Central Case . . . . . . . . . . 838--848
M. K. Gupta An Asymptotically Nonparametric Test of
Symmetry . . . . . . . . . . . . . . . . 849--866
Myles Hollander Rank Tests for Randomized Blocks when
the Alternatives have an a Priori
Ordering . . . . . . . . . . . . . . . . 867--877
Kjell Doksum Robust Procedures for Some Linear Models
with one Observation per Cell . . . . . 878--883
J. N. Adichie Asymptotic Efficiency of a Class of
Non-Parametric Tests for Regression
Parameters . . . . . . . . . . . . . . . 884--893
J. N. Adichie Estimates of Regression Parameters Based
on Rank Tests . . . . . . . . . . . . . 894--904
A. P. Basu On the Large Sample Properties of a
Generalized Wilcoxon--Mann--Whitney
Statistic . . . . . . . . . . . . . . . 905--915
E. J. G. Pitman and
E. J. Williams Cauchy-Distributed Functions of Cauchy
Variates . . . . . . . . . . . . . . . . 916--918
Wolfgang J. Bühler Slowly Branching Processes . . . . . . . 919--921
D. G. Austin A Note on the Birkhoff Ergodic Theorem 922--923
David A. Freedman An Oscillating Semigroup . . . . . . . . 924--926
Michael Arbib Realization of Stochastic Systems . . . 927--933
J. MacQueen An Intrinsically Determined Markov Chain 934--936
M. P. Singh The Relative Efficiency of Some
Two-Phase Sampling Schemes . . . . . . . 937--940
Morris L. Eaton The Generalized Variance: Testing and
Ranking Problem . . . . . . . . . . . . 941--943
C. G. Khatri Some Distribution Problems Connected
with the Characteristic Roots of $ S_1
S_2^{-1} $ . . . . . . . . . . . . . . . 944--948
S. Zacks On the Non-Existence of a Fixed Sample
Estimator of the Mean of a Log-Normal
Distribution Having a Prescribed
Proportional Closeness . . . . . . . . . 949--949
Richard E. Barlow and
Frank Proschan Correction Note: Correction to
``Tolerance and Confidence Limits for
Classes of Distributions Based on
Failure Rate'' . . . . . . . . . . . . . 950--950
Frank Spitzer Review: William Feller, \booktitleAn
Introduction to Probability Theory and
Its Applications . . . . . . . . . . . . 951--952
Anonymous Abstracts . . . . . . . . . . . . . . . 953--971
Anonymous News and Notices . . . . . . . . . . . . 972--976
Anonymous Publications Received . . . . . . . . . 976--976
Samuel Karlin and
James McGregor Properties of the Stationary Measure of
the Critical Case Simple Branching
Process . . . . . . . . . . . . . . . . 977--991
Shu-teh C. Moy Extensions of a Limit Theorem of
Everett, Ulam and Harris on Multitype
Branching Processes to a Branching
Process with Countably Many Types . . . 992--999
Edward C. Posner and
Eugene R. Rodemich and
Howard Rumsey, Jr. Epsilon Entropy of Stochastic Processes 1000--1020
Sidney C. Port On Hitting Places for Stable Processes 1021--1026
Dale E. Varberg Equivalent Gaussian Measures with a
Particularly Simple Radon--Nikodym
Derivative . . . . . . . . . . . . . . . 1027--1030
J. H. Venter On Convergence of the Kiefer--Wolfowitz
Approximation Procedure . . . . . . . . 1031--1036
Sidney C. Port and
Charles J. Stone A Large Sample Test for the Independence
of Two Renewal Processes . . . . . . . . 1037--1041
Meyer Dwass Simple Random Walk and Rank Order
Statistics . . . . . . . . . . . . . . . 1042--1053
Peter C. Fishburn Bounded Expected Utility . . . . . . . . 1054--1060
D. A. S. Fraser Statistical Models and Invariance . . . 1061--1067
L. Brown The conditional level of Student's $t$
test . . . . . . . . . . . . . . . . . . 1068--1071
W. J. Studden On Selecting A Subset of $k$ Populations
Containing the Best . . . . . . . . . . 1072--1078
D. M. Mahamunulu Some Fixed-Sample Ranking and Selection
Problems . . . . . . . . . . . . . . . . 1079--1091
George Zyskind On Canonical Forms, Non-Negative
Covariance Matrices and Best and Simple
Least Squares Linear Estimators in
Linear Models . . . . . . . . . . . . . 1092--1109
Norman R. Draper and
Toby J. Mitchell The Construction of Saturated $ 2^{k -
p}_R $ Designs . . . . . . . . . . . . . 1110--1126
B. L. Raktoe Application of Cyclic Collineations to
the Construction of Balanced
$L$-Restrictional Prime Powered Lattice
Designs . . . . . . . . . . . . . . . . 1127--1141
J. C. Koop Replicated (or Interpenetrating) Samples
of Unequal Sizes . . . . . . . . . . . . 1142--1147
T. Sugiyama On the Distribution of the Largest
Latent Root of the Covariance Matrix . . 1148--1151
T. Sugiyama Distribution of the Largest Latent Root
and the Smallest Latent Root of the
Generalized $B$ Statistic and $F$
Statistic in Multivariate Analysis . . . 1152--1159
P. C. Consul On the Exact Distributions of Likelihood
Ratio Criteria for Testing Independence
of Sets of Variates Under the Null
Hypothesis . . . . . . . . . . . . . . . 1160--1169
P. C. Consul On the Exact Distributions of the
Criterion $W$ for Testing Sphericity in
a $p$-Variate Normal Distribution . . . 1170--1174
Saibal Banerjee Confidence Interval of Preassigned
Length for the Behrens--Fisher Problem 1175--1179
V. M. Joshi Confidence Intervals for the Mean of a
Finite Population . . . . . . . . . . . 1180--1207
W. J. Conover The Distribution Functions of Tsao's
Truncated Smirnov Statistics . . . . . . 1208--1215
Pranab Kumar Sen and
Madan Lal Puri On the Theory of Rank Order Tests for
Location in the Multivariate One Sample
Problem . . . . . . . . . . . . . . . . 1216--1228
Pranab Kumar Sen Asymptotically Most Powerful Rank Order
Tests for Grouped Data . . . . . . . . . 1229--1239
Georges Vandewiele and
Marc Noé An Inequality Concerning Tests of Fit of
the Kolmogorov--Smirnov Type . . . . . . 1240--1244
Morton Abramson and
W. O. J. Moser Permutations without Rising or Falling
$w$-Sequences . . . . . . . . . . . . . 1245--1254
Martin Knott Models for Cataloguing Problems . . . . 1255--1260
Stuart C. Schwartz Estimation of Probability Density by an
Orthogonal Series . . . . . . . . . . . 1261--1265
R. A. Johnson Asymptotic Expansions Associated with
the $n$ th Power of a Density . . . . . 1266--1272
Eugene M. Klimko On the Glivenko--Cantelli Theorem for
Infinite Invariant Measures . . . . . . 1273--1277
W. Molenaar and
E. A. van der Velde How to Survive a Fixed Number of Fair
Bets . . . . . . . . . . . . . . . . . . 1278--1280
David A. Freedman Timid Play is Optimal . . . . . . . . . 1281--1283
David A. Freedman and
Roger Purves Timid Play is Optimal, II . . . . . . . 1284--1285
P. R. Krishnaiah and
P. K. Pathak Tests for the Equality of Covariance
Matrices under the Intraclass
Correlation Model . . . . . . . . . . . 1286--1288
Chandan K. Mustafi The Inverse of a Certain Matrix, with an
Application . . . . . . . . . . . . . . 1289--1292
Sati Mazumdar On the Construction of Cyclic
Collineations for Obtaining a Balanced
Set of $L$-Restrictional Prime-Powered
Lattice Designs . . . . . . . . . . . . 1293--1295
Tze-chien Sun A Note on the Unimodality of
Distribution Functions of Class $L$ . . 1296--1299
Henry Teicher Identifiability of Mixtures of Product
Measures . . . . . . . . . . . . . . . . 1300--1302
F. W. Steutel Note on the Infinite Divisibility of
Exponential Mixtures . . . . . . . . . . 1303--1305
S. K. Katti Infinite Divisibility of Integer-Valued
Random Variables . . . . . . . . . . . . 1306--1308
I. Richard Savage and
J. Sethuraman Correction Note: Correction to
``Stopping Time of a Rank-Order
Sequential Probability Ratio Test Based
on Lehmann Alternatives'' . . . . . . . 1309--1309
Anonymous Abstracts . . . . . . . . . . . . . . . 1310--1316
Anonymous News and Notices . . . . . . . . . . . . 1317--1322
Anonymous Publications Received . . . . . . . . . 1322--1322
J. Kiefer On Bahadur's Representation of Sample
Quantiles . . . . . . . . . . . . . . . 1323--1342
Gordon Simons Lower Bounds for Average Sample Number
of Sequential Multihypothesis Tests . . 1343--1364
Gordon Simons A Sequential Three Hypothesis Test for
Determining the Mean of a Normal
Population with Known Variance . . . . . 1365--1375
Gordon Simons A Class of Sequential Procedures for
Choosing One of $K$ Hypotheses
Concerning the Unknown Drift Parameter
of the Wiener Process . . . . . . . . . 1376--1383
H. Robbins and
G. Simons and
N. Starr A Sequential Analogue of the
Behrens--Fisher Problem . . . . . . . . 1384--1391
D. A. Darling and
Herbert Robbins Finding the Size of a Finite Population 1392--1398
Gary Lorden Integrated Risk of Asymptotically Bayes
Sequential Tests . . . . . . . . . . . . 1399--1422
Daniel A. Bloch and
Geoffrey S. Watson A Bayesian Study of the Multinomial
Distribution . . . . . . . . . . . . . . 1423--1435
Robert H. Berk A Special Group Structure and
Equivariant Estimation . . . . . . . . . 1436--1445
J. H. Venter On Estimation of the Mode . . . . . . . 1446--1455
D. A. S. Fraser Data Transformations and the Linear
Model . . . . . . . . . . . . . . . . . 1456--1465
J. D. Esary and
F. Proschan and
D. W. Walkup Association of Random Variables, with
Applications . . . . . . . . . . . . . . 1466--1474
Innis G. Abrahamson Exact Bahadur Efficiencies for the
Kolmogorov--Smirnov and Kuiper One- and
Two-Sample Statistics . . . . . . . . . 1475--1490
Roy C. Milton On Exact Probabilities of Rank Orders
for Two Widely Separated Normal
Distributions . . . . . . . . . . . . . 1491--1493
S. Ehrenfeld and
S. Zacks Testing Hypotheses in Randomized
Factorial Experiments . . . . . . . . . 1494--1507
David A. Harville Estimability of Variance Components for
the Two-Way Classification with
Interaction . . . . . . . . . . . . . . 1508--1519
A. P. Basu On Two $K$-Sample Rank Tests for
Censored Data . . . . . . . . . . . . . 1520--1535
A. L. Wilson An Approach to Simultaneous Tolerance
Intervals in Regression . . . . . . . . 1536--1540
E. J. Gumbel and
James Pickands III Probability Tables for the Extremal
Quotient . . . . . . . . . . . . . . . . 1541--1551
David A. Freedman A theorem of Lévy and a peculiar
semigroup . . . . . . . . . . . . . . . 1552--1557
Michael B. Woodroofe and
John W. Van Ness The Maximum Deviation of Sample Spectral
Densities . . . . . . . . . . . . . . . 1558--1569
James Pickands III Sample Sequences of Maxima . . . . . . . 1570--1574
C. C. Heyde On Large Deviation Problems for Sums of
Random Variables which are not Attracted
to the Normal Law . . . . . . . . . . . 1575--1578
D. M. Eaves Sample Functions of Gaussian Random
Homogeneous Fields and Either Continuous
or Very Irregular . . . . . . . . . . . 1579--1582
Kumar Jogdeo Monotone Convergence of Binomial
Probabilities with an Application to
Maximum Likelihood Estimation . . . . . 1583--1586
Madan Lal Puri and
Pranab Kumar Sen On Robust Estimation in Incomplete Block
Designs . . . . . . . . . . . . . . . . 1587--1591
Ashok K. Saxena A Note on Classification . . . . . . . . 1592--1593
M. M. Siddiqui Correction Note: Correction to ``A
Bivariate $t$ Distribution'' . . . . . . 1594--1594
Anonymous Abstracts of Papers . . . . . . . . . . 1595--1598
Anonymous News and Notices . . . . . . . . . . . . 1599--1604
Anonymous Publications Received . . . . . . . . . 1604--1604
Peter C. Fishburn Preference-based Definitions of
Subjective Probability . . . . . . . . . 1605--1617
Gus W. Haggstrom Optimal Sequential Procedures when More
Than one Stop is Required . . . . . . . 1618--1626
David Oliver Siegmund Some Problems in the Theory of Optimal
Stopping Rules . . . . . . . . . . . . . 1627--1640
David O. Siegmund Some One-Sided Stopping Rules . . . . . 1641--1646
Hiroshi Kunita Note on Dynkin's $ (\alpha,
\xi)$-Subprocess of Standard Markov
Process . . . . . . . . . . . . . . . . 1647--1654
R. K. Getoor Some Remarks on Continuous Additive
Functionals . . . . . . . . . . . . . . 1655--1660
Flemming Topsòe Preservation of Weak Convergence Under
Mappings . . . . . . . . . . . . . . . . 1661--1665
David A. Freedman A Remark On Sequential Discrimination 1666--1670
J. R. Blum and
Judah Rosenblatt On Partial a Priori Information in
Statistical Inference . . . . . . . . . 1671--1678
Geoffrey S. Watson Linear Least Squares Regression . . . . 1679--1699
Bruno Baldessari The Distribution of a Quadratic Form of
Normal Random Variables . . . . . . . . 1700--1704
Ji\vr\'ì And\vel Local Asymptotic Power and Efficiency of
Tests of Kolmogorov--Smirnov Type . . . 1705--1725
W. J. Conover A $k$-Sample Extension of the One-sided
Two-Sample Smirnov Test Statistic . . . 1726--1730
Kjell Doksum Asymptotically Optimal Statistics in
Some Models with Increasing Failure Rate
Averages . . . . . . . . . . . . . . . . 1731--1739
Galen R. Shorack Testing Against Ordered Alternatives in
Model I Analysis of Variance; Normal
Theory and Nonparametric . . . . . . . . 1740--1752
G. K. Bhattacharyya Asymptotic Efficiency of Multivariate
Normal Score Test . . . . . . . . . . . 1753--1758
Richard A. Olshen Sign and Wilcoxon Tests for Linearity 1759--1769
P. K. Bhattacharya Efficient Estimation of a Shift
Parameter From Grouped Data . . . . . . 1770--1787
M. Haseeb Rizvi and
Milton Sobel Nonparametric Procedures for Selecting A
Subset Containing the Population with
the Largest $ \alpha $-Quantile . . . . 1788--1803
Milton Sobel Nonparametric Procedures for Selecting
the $t$ Population with the Largest $
\alpha $-Quantiles . . . . . . . . . . . 1804--1816
W. R. Van Zwet An Inequality for Expected Values of
Sample Quantiles . . . . . . . . . . . . 1817--1821
R. K. Tsutakawa Asymptotic Properties of the Block
Up-and-Down Method in Bio-assay . . . . 1822--1828
David G. Herr Asymptotically Optimal Tests for
Multivariate Normal Distributions . . . 1829--1844
James B. Bartoo and
Prem S. Puri On Optimal Asymptotic Tests of Composite
Statistical Hypotheses . . . . . . . . . 1845--1852
C. G. Khatri On Certain Inequalities for Normal
Distributions and their Applications to
Simultaneous Confidence Bounds . . . . . 1853--1867
V. M. Joshi Inadmissibility of the Usual Confidence
Sets for the Mean of a Multivariate
Normal Population . . . . . . . . . . . 1868--1875
L. K. Chan Remark on the Linearized Maximum
Likelihood Estimate . . . . . . . . . . 1876--1881
S. G. Prabhu Ajgaonkar On Horvitz and Thompson's $ T_1 $ Class
of Linear Estimators . . . . . . . . . . 1882--1886
J. A. John Reduced Group Divisible Paired
Comparison Designs . . . . . . . . . . . 1887--1893
Theophilos Cacoullos Characterizations of Normality by
Constant Regression of Linear Statistics
on Another Linear Statistic . . . . . . 1894--1898
R. A. Johnson An Asymptotic Expansion for Posterior
Distributions . . . . . . . . . . . . . 1899--1906
Peter J. Bickel and
David Blackwell A Note on Bayes Estimates . . . . . . . 1907--1911
L. A. Shepp A First Passage Problem for the Wiener
Process . . . . . . . . . . . . . . . . 1912--1914
Richard F. Gundy and
David Siegmund On a Stopping Rule and the Central Limit
Theorem . . . . . . . . . . . . . . . . 1915--1917
R. B. Darst and
R. E. Zink A Perfect Measurable Space that is Not a
Lusin Space . . . . . . . . . . . . . . 1918--1918
J. L. Allen and
J. A. Beekman Distributions of a M. Kac statistic . . 1919--1923
M. V. Tamhankar A Characterization of Normality . . . . 1924--1927
T. K. Matthes and
D. R. Truax Correction: Correction to Tests of
Composite Hypotheses for the
Multivariate Exponential Family . . . . 1928--1928
H. Salehi Review: N. Wiener, A. Siegel, B.
Franklin, W. T. Martin, Differential
Space, Quantum Systems, \booktitleand
Prediction . . . . . . . . . . . . . . . 1929--1931
Anonymous Abstracts of Papers . . . . . . . . . . 1932--1940
Anonymous News and Notices . . . . . . . . . . . . 1941--1947
Anonymous Publications Received . . . . . . . . . 1947--1948
R. H. Farrell Towards a Theory of Generalized Bayes
Tests . . . . . . . . . . . . . . . . . 1--22
R. H. Farrell On a Necessary and Sufficient Condition
for Admissibility of Estimators When
Strictly Convex Loss is Used . . . . . . 23--28
L. Brown Inadmissibility of the Usual Estimators
of Scale parameters in Problems with
Unknown Location and Scale Parameters 29--48
Jerome Sacks and
Donald Ylvisaker Designs for Regression Problems With
Correlated Errors: Many Parameters . . . 49--69
William Kruskal When are Gauss--Markov and Least Squares
Estimators Identical? A Coordinate-Free
Approach . . . . . . . . . . . . . . . . 70--75
B. L. S. Prakasa Rao Estimation of the Location of the Cusp
of a Continuous Density . . . . . . . . 76--87
H. Robbins and
M. Sobel and
N. Starr A Sequential Procedure for Selecting the
Largest of $k$ Means . . . . . . . . . . 88--92
J. H. B. Kemperman The General Moment Problem, A Geometric
Approach . . . . . . . . . . . . . . . . 93--122
Y. S. Chow Convergence of Sums of Squares of
Martingale Differences . . . . . . . . . 123--133
Richard F. Gundy A decomposition for $ L^1 $-bounded
martingales . . . . . . . . . . . . . . 134--138
Walter L. Smith On Infinitely Divisible Laws and a
Renewal Theorem for Non-Negative Random
Variables . . . . . . . . . . . . . . . 139--154
C. C. Heyde Variations on a Renewal Theorem of Smith 155--158
David Blackwell and
T. S. Ferguson The Big Match . . . . . . . . . . . . . 159--163
Paul W. Holland Some Properties of an Algebraic
Representation of Stochastic Processes 164--170
N. Giri Locally and Asymptotically Minimax Tests
of a Multivariate Problem . . . . . . . 171--178
R. K. Tsutakawa An Example of Large Discrepancy Between
Measures of Asymptotic Efficiency of
Tests . . . . . . . . . . . . . . . . . 179--182
R. C. Srivastava Estimation of The Parameter in the
Stochastic Model for Phage Attachment to
Bacteria . . . . . . . . . . . . . . . . 183--192
R. S. Valand Invariant Interval Estimation of a
Location Parameter . . . . . . . . . . . 193--199
P. K. Sen and
H. A. David Paired Comparisons for Paired
Characteristics . . . . . . . . . . . . 200--208
Sidney J. Yakowitz and
John D. Spragins On the Identifiability of Finite
Mixtures . . . . . . . . . . . . . . . . 209--214
C. G. Khatri and
K. C. S. Pillai On the Non-Central Distributions of Two
Test Criteria in Multivariate Analysis
of Variance . . . . . . . . . . . . . . 215--226
M. S. Srivastava On the Distribution of a Multiple
Correlation Matrix: Non-Central
Multivariate Beta Distributions . . . . 227--232
Marc Noé and
Georges Vandewiele The Calculation of Distributions of
Kolmogorov--Smirnov Type Statistics
Including a Table of Significance Points
for a Particular Case . . . . . . . . . 233--241
J. W. Moon A Tree Counting Problem . . . . . . . . 242--245
Norman R. Draper and
Toby J. Mitchell Construction of the Set of $ 256$-Run
Designs of Resolution $ \geqq 5$ and the
Set of Even $ 512$-Run Designs of
Resolution $ \geqq 6$ with Special
Reference to the Unique Saturated
Designs . . . . . . . . . . . . . . . . 246--255
Herbert E. Robbins Estimating the Total Probability of the
Unobserved Outcomes of an Experiment . . 256--257
J. P. Imhof Some Invariant Laws Related to the Arc
Sine Law . . . . . . . . . . . . . . . . 258--260
Donald Ylvisaker A Note on the Absence of Tangencies in
Gaussian Sample Paths . . . . . . . . . 261--262
D. S. Moore An Elementary Proof of Asymptotic
Normality of Linear Functions of Order
Statistics . . . . . . . . . . . . . . . 263--265
Peter Frank The Asymptotic Error of Iterations . . . 266--269
K. S. Miller A Note on Stochastic Difference
Equations . . . . . . . . . . . . . . . 270--271
H. A. David and
P. C. Joshi Recurrence Relations Between Moments of
Order Statistics for Exchangeable
Variates . . . . . . . . . . . . . . . . 272--274
N. Giri On Tests of the Equality of Two
Covariance Matrices . . . . . . . . . . 275--277
V. M. Joshi Note on a Minimax Design for Cluster
Sampling . . . . . . . . . . . . . . . . 278--281
Pranab Kumar Sen On a Further Robustness Property of the
Test and Estimator Based on Wilcoxon's
Signed Rank Statistic . . . . . . . . . 282--285
J. J. Deely and
R. L. Kruse Construction of Sequences Estimating the
Mixing Distribution . . . . . . . . . . 286--288
B. K. Shah Correction Note: Correction to
``Distribution of Definite and of
Indefinite Quadratic Forms From a
Non-central Normal Distribution'' . . . 289--289
Donald Ylvisaker Review: Harald Cramér, M. R. Leadbetter,
\booktitleStationary and Related
Stochastic Processes/Sampling Function
Properties and Their Applications . . . 290--291
Herman Rubin Review: D. N. Lawley, A. E. Maxwell,
\booktitleFactor Analysis as a
Statistical Method . . . . . . . . . . . 292--292
Peter C. C. Wang Review: Winifred D. Ashton,
\booktitleTheory of Road Traffic Flow 293--293
Anonymous Abstracts of Papers . . . . . . . . . . 294--312
Anonymous News and Notices . . . . . . . . . . . . 313--322
Anonymous Publications Received . . . . . . . . . 322--323
Jaroslav Hájek Asymptotic Normality of Simple Linear
Rank Statistics Under Alternatives . . . 325--346
Krishna Balasundaram Athreya Some Results on Multitype Continuous
Time Markov Branching Processes . . . . 347--357
James Yackel A Random Time Change Relating
Semi-Markov and Markov Processes . . . . 358--364
Sidney C. Port A Remark on Hitting Places for Transient
Stable Process . . . . . . . . . . . . . 365--371
P. Warwick Millar Transforms of Stochastic Processes . . . 372--376
R. R. Bahadur and
P. J. Bickel Substitution in Conditional Expectation 377--378
Ronald Pyke and
David Root On Convergence in $r$-Mean of Normalized
Partial Sums . . . . . . . . . . . . . . 379--381
J. Kuelbs The Invariance Principle for a Lattice
of Random Variables . . . . . . . . . . 382--389
Lester E. Dubins A Simpler Proof of Smith's Roulette
Theorem . . . . . . . . . . . . . . . . 390--393
Stephen R. Kimbleton A Characterization of Certain Sequences
of Norming Constants . . . . . . . . . . 394--397
J. Durbin The Probability that the Sample
Distribution Function Lies Between Two
Parallel Straight Lines . . . . . . . . 398--411
Sheldon M. Ross Non-Discounted Denumerable Markovian
Decision Models . . . . . . . . . . . . 412--423
Lloyd Fisher On Recurrent Denumerable Decision
Processes . . . . . . . . . . . . . . . 424--432
Kumar Jogdeo Characterizations of Independence in
Certain Families of Bivariate and
Multivariate Distributions . . . . . . . 433--441
Peter J. Bickel and
Joseph A. Yahav Asymptotically Optimal Bayes and Minimax
Procedures in Sequential Estimation . . 442--456
Václav Fabian On the Choice of Design in Stochastic
Approximation Methods . . . . . . . . . 457--465
William H. Lawton Concentration of Random Quotients . . . 466--480
R. Duncan Luce On the Numerical Representation of
Qualitative Conditional Probability . . 481--491
Morris Skibinsky Minimax Estimation of a Random
Probability Whose First $N$ Moments are
Known . . . . . . . . . . . . . . . . . 492--501
Saul Blumenthal and
Arthur Cohen Estimation of the Larger Translation
Parameter . . . . . . . . . . . . . . . 502--516
Saul Blumenthal and
Arthur Cohen Estimation of Two Ordered Translation
Parameters . . . . . . . . . . . . . . . 517--530
W. Schaafsma A Comparison of the Most Stringent and
the Most Stringent Somewhere Most
Powerful Test for Certain Problems with
Restricted Alternative . . . . . . . . . 531--546
Richard E. Barlow Likelihood Ratio Tests for Restricted
Families of Probability Distributions 547--560
James M. Dickey Smoothed Estimates for Multinomial Cell
Probabilities . . . . . . . . . . . . . 561--566
Rupert G. Miller, Jr. Jackknifing Variances . . . . . . . . . 567--582
J. A. Hartigan Inference From a Knockout Tournament . . 583--592
D. A. S. Fraser The conditional Wishart: Normal and
nonnormal . . . . . . . . . . . . . . . 593--605
V. M. Joshi Admissibility of the Sample Mean as
Estimate of the Mean of a Finite
Population . . . . . . . . . . . . . . . 606--620
T. V. Hanurav Hyper-Admissibility and Optimum
Estimators for Sampling Finite
Populations . . . . . . . . . . . . . . 621--642
Edward J. Carney Relationship of Generalized Polykays to
Unrestricted Sums for Balanced Complete
Finite Populations . . . . . . . . . . . 643--656
K. S. Banerjee and
W. T. Federer On the Structure and Analysis of
Singular Fractional Replicates . . . . . 657--663
C. P. Quesenberry and
M. P. Gessaman Nonparametric Discrimination Using
Tolerance Regions . . . . . . . . . . . 664--673
Lloyd Fisher and
Sheldon M. Ross An Example in Denumerable Decision
Processes . . . . . . . . . . . . . . . 674--675
P. U. Surendran Association Matrices and the Kronecker
Product of Designs . . . . . . . . . . . 676--680
C. C. Yalavigi A Series of Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 681--683
Leon J. Gleser Correction Notes: Correction to ``A Note
on the Sphericity Test'' . . . . . . . . 684--684
Pranab Kumar Sen and
Madan Lal Puri Correction Notes: Correction to ``On the
Theory of Rank Order Tests for Location
in the Multivariate One Sample Problem'' 684--684
Kjell Doksum Correction Notes: Correction to
``Asymptotically Optimal Statistics in
Some Models with Increasing Failure Rate
Averages'' . . . . . . . . . . . . . . . 684--685
J. L. Doob Review: Edward Nelson,
\booktitleDynamical Theories of Brownian
Motion . . . . . . . . . . . . . . . . . 686--686
Anonymous Abstracts of Papers . . . . . . . . . . 687--708
Anonymous News and Notices . . . . . . . . . . . . 709--724
Anonymous Publications Received . . . . . . . . . 724--725
Paul R. Milch A Multi-dimensional Linear Growth Birth
and Death Process . . . . . . . . . . . 727--754
Ronald Pyke and
Galen R. Shorack Weak Convergence of a Two-sample
Empirical Process and a New Approach to
Chernoff--Savage Theorems . . . . . . . 755--771
Emil Spjòtvoll Most Powerful Tests for Some
Non-Exponential Families . . . . . . . . 772--784
G. Kallianpur and
C. Striebel Estimation of Stochastic Systems:
Arbitrary System Process with Additive
White Noise Observation Errors . . . . . 785--801
E. Count Curtis A Potential Theory for Supermartingales 802--814
A. W. Davis A System of Linear Differential
Equations for the Distribution of
Hotelling's Generalized $ T_0^2 $ . . . 815--832
K. C. Sreedharan Pillai and
Arjun K. Gupta On the Non-central Distribution of the
Second Elementary Symmetric Function of
the Roots of a Matrix . . . . . . . . . 833--839
Chandan K. Mustafi Inference Problems about Parameters
which are Subjected to Changes Over Time 840--854
D. G. Kabe On the Distributions of Direction and
Collinearity Factors in Discriminant
Analysis . . . . . . . . . . . . . . . . 855--858
Masashi Okamoto and
Mitsuyo Kanazawa Minimization of Eigenvalues of a Matrix
and Optimality of Principal Components 859--863
Donald L. Iglehart Limit Theorems for the Multi-urn
Ehrenfest Model . . . . . . . . . . . . 864--876
K. C. Sreedharan Pillai On the Moment Generating Function of
Pillai's $ V^{(s)} $ Criterion . . . . . 877--880
James Pickands III Moment Convergence of Sample Extremes 881--889
David S. Newman On the Probability Distribution of a
Filtered Random Telegraph Signal . . . . 890--896
L. H. Koopmans An Extension of Rosen's Theorem to
Non-identically Distributed Random
Variables . . . . . . . . . . . . . . . 897--904
Kumar Jogdeo Asymptotic Normality in Nonparametric
Methods . . . . . . . . . . . . . . . . 905--922
Urs R. Maag and
M. A. Stephens The $ V_{NM} $ Two-Sample Test . . . . . 923--935
Steven Orey On Continuity Properties of Infinitely
Divisible Distribution Functions . . . . 936--937
Martin Fox and
Herman Rubin Functions of Processes with Markovian
States . . . . . . . . . . . . . . . . . 938--946
Lawrence D. Stone On the Distribution of the Maximum of a
Semi-Markov Process . . . . . . . . . . 947--956
A. P. Dempster Upper and Lower Probabilities Generated
by a Random Closed Interval . . . . . . 957--966
Madan Lal Puri and
Pranab Kumar Sen On Chernoff--Savage Tests for Ordered
Alternatives in Randomized Blocks . . . 967--972
S. Zacks Bayes Sequential Design of Fractional
Factorial Experiments for the Estimation
of a Subgroup of Pre-Assigned Parameters 973--982
Derrick S. Tracy Some Rules for a Combinatorial Method
for Multiple Products of Generalized
$k$-Statistics . . . . . . . . . . . . . 983--998
P. U. Surendran Common Treatments Between Blocks of
Certain Partially Balanced Incomplete
Block Designs . . . . . . . . . . . . . 999--1006
D. J. Daley The Correlation Structure of the Output
Process of Some Single Server Queueing
Systems . . . . . . . . . . . . . . . . 1007--1019
Paul E. Boudreau Functions of Finite Markov Chains and
Exponential Type Processes . . . . . . . 1020--1029
Tim Robertson and
Paul Waltman On Estimating Monotone Parameters . . . 1030--1039
M. S. Srivastava and
J. Ogilvie The Performance of Some Sequential
Procedures for a Ranking Problem . . . . 1040--1047
R. A. Wijsman Bounds on the Sample Size Distribution
for a Class of Invariant Sequential
Probability Ratio Tests . . . . . . . . 1048--1056
Ester Samuel Sequential Maximum Likelihood Estimation
of the Size of a Population . . . . . . 1057--1068
S. W. Dharmadhikari Splitting a Single State of a Stationary
Process into Markovian States . . . . . 1069--1077
J. Feldman A Clarification Concerning Certain
Equivalence Classes of Gaussian
Processes on an Interval . . . . . . . . 1078--1079
C. L. Mallows An Inequality in Constrained Random
Variables . . . . . . . . . . . . . . . 1080--1082
Daniel A. Bloch and
Joseph L. Gastwirth On a Simple Estimate of the Reciprocal
of the Density Function . . . . . . . . 1083--1085
Anonymous Abstracts of Papers . . . . . . . . . . 1086--1097
Anonymous News and Notices . . . . . . . . . . . . 1098--1104
Anonymous Publications Received . . . . . . . . . 1104--1105
Kenneth N. Berk Ergodic Theory with Recurrent Weights 1107--1114
Pranab Kumar Sen On a Class of Aligned Rank Order Tests
in Two-way Layouts . . . . . . . . . . . 1115--1124
M. H. Hoyle The Estimation of Variances After Using
a Gaussianating Transformation . . . . . 1125--1143
P. J. Burke The Output Process of a Stationary M/M/s
Queueing System . . . . . . . . . . . . 1144--1152
F. W. Steutel A Class of Infinitely Divisible Mixtures 1153--1157
R. J. Serfling Contributions to Central Limit Theory
for Dependent Variables . . . . . . . . 1158--1175
Robert Bohrer Operating Characteristics of Some
Sequential Design Rules . . . . . . . . 1176--1185
Stephen E. Fienberg The geometry of an $ r \times c $
contingency table . . . . . . . . . . . 1186--1190
Kumar Jogdeo and
S. M. Samuels Monotone Convergence of Binomial
Probabilities and a Generalization of
Ramanujan's Equation . . . . . . . . . . 1191--1195
Arnljot Hòyland Robustness of the Wilcoxon Estimate of
Location Against a Certain Dependence 1196--1201
R. J. Serfling The Wilcoxon Two-sample Statistic on
Strongly Mixing processes . . . . . . . 1202--1209
Jozef L. Teugels Renewal Theorems When the First or the
Second Moment is Infinite . . . . . . . 1210--1219
E. V. Denardo and
B. L. Miller An Optimality Condition for Discrete
Dynamic Programming with no Discounting 1220--1227
David Siegmund and
Gordon Simons and
Paul Feder Existence of Optimal Stopping Rules for
Rewards Related to $ S_n / n $ . . . . . 1228--1235
S. Kullback Probability Densities with Given
Marginals . . . . . . . . . . . . . . . 1236--1243
Seok Pin Wong Asymptotically Optimum Properties of
Certain Sequential Tests . . . . . . . . 1244--1263
G. W. Hill and
A. W. Davis Generalized Asymptotic Expansions of
Cornish--Fisher Type . . . . . . . . . . 1264--1273
C. G. Khatri and
K. C. S. Pillai On the Moments of Elementary Symmetric
Functions of the Roots of Two Matrices
and Approximations to a Distribution . . 1274--1281
D. L. Burkholder Independent Sequences with the Stein
Property . . . . . . . . . . . . . . . . 1282--1288
John E. Rolph Bayesian Estimation of Mixing
Distributions . . . . . . . . . . . . . 1289--1302
P. R. Krishnaiah Simultaneous Tests for the Equality of
Covariance Matrices Against Certain
Alternatives . . . . . . . . . . . . . . 1303--1309
T. S. Pitcher The $ \varepsilon $-Entropy of Certain
Measures on $ [0, 1]$ . . . . . . . . . 1310--1315
Sheela Bildikar and
G. P. Patil Multivariate Exponential-type
Distributions . . . . . . . . . . . . . 1316--1326
Václav Fabian On Asymptotic Normality in Stochastic
Approximation . . . . . . . . . . . . . 1327--1332
Howard M. Taylor Optimal Stopping in a Markov Process . . 1333--1344
David Blackwell A Borel Set Not Containing a Graph . . . 1345--1347
Melvin Katz A Note on the Weak Law of Large Numbers 1348--1349
Chandan K. Mustafi On the Proportion of Observations Above
Sample Means in a Bivariate Normal
Distribution . . . . . . . . . . . . . . 1350--1353
L. F. Kemp, Jr. Construction of Joint Probability
Distributions . . . . . . . . . . . . . 1354--1357
P. R. Krishnaiah and
P. K. Pathak Correction Notes: Corrections and
Comments on ``Tests for the Equality of
Covariance Matrices Under the Intraclass
Correlation Model'' . . . . . . . . . . 1358--1358
Masashi Okamoto Correction Notes: Correction to ``An
Asymptotic Expansion for the
Distribution of the Linear Discriminant
Function'' . . . . . . . . . . . . . . . 1358--1359
M. S. Srivastava Correction Notes: Correction to ``On the
Distribution of a Multiple Correlation
Matrix: Non-Central Multivariate
Beta-Distributions'' . . . . . . . . . . 1359--1359
Anonymous Abstracts of Papers . . . . . . . . . . 1360--1372
Anonymous News and Notices . . . . . . . . . . . . 1373--1378
Anonymous Publications Received . . . . . . . . . 1378--1380
Howard G. Tucker Convolutions of Distributions Attracted
to Stable Laws . . . . . . . . . . . . . 1381--1390
Charles Stone On a Theorem by Dobrushin . . . . . . . 1391--1401
Bradley Efron and
Donald Truax Large Deviations Theory in Exponential
Families . . . . . . . . . . . . . . . . 1402--1424
Zbyn\vek \vSidák On Multivariate Normal Probabilities of
Rectangles: Their Dependence on
Correlations . . . . . . . . . . . . . . 1425--1434
W. J. Studden Optimal Designs on Tchebycheff Points 1435--1447
Hél\`ene Deberghes and
B\`ui-Trong-Li\cftileu On the Ergodicity for Non-stationary
Multiple Markov Processes . . . . . . . 1448--1462
Janet M. Myhre and
Sam C. Saunders On Confidence Limits for the Reliability
of Systems . . . . . . . . . . . . . . . 1463--1472
A. P. Dempster and
Robert M. Kleyle Distributions Determined by Cutting a
Simplex with Hyperplanes . . . . . . . . 1473--1478
James Avery Davis Convergence Rates for the Law of the
Iterated Logarithm . . . . . . . . . . . 1479--1485
Emil Spjòtvoll A Note on Robust Estimation in Analysis
of Variance . . . . . . . . . . . . . . 1486--1492
D. Siegmund On the Asymptotic Normality of One-sided
Stopping Rules . . . . . . . . . . . . . 1493--1497
B. L. S. Prakasa Rao On a Characterization of Symmetric
Stable Processes with Finite Mean . . . 1498--1501
Dale E. Varberg Almost Sure Convergence of Quadratic
Forms in Independent Random Variables 1502--1506
T. Subba Rao Cross Spectral Analysis of a Gaussian
Vector Process in the Presence of
Variance Fluctuations . . . . . . . . . 1507--1512
J. K. Ord The discrete Student's $t$ distribution 1513--1516
J. S. Murty and
M. N. Das Design and Analysis of Experiments with
Mixtures . . . . . . . . . . . . . . . . 1517--1539
R. G. Stanton and
R. C. Mullin Construction of Room squares . . . . . . 1540--1548
William F. Stout Some Results on the Complete and Almost
Sure Convergence of Linear Combinations
of Independent Random Variables and
Martingale Differences . . . . . . . . . 1549--1562
R. M. Dudley Distances of Probability Measures and
Random Variables . . . . . . . . . . . . 1563--1572
Robert H. Berk and
P. J. Bickel On Invariance and Almost Invariance . . 1573--1576
B. D. Causey Some Examples of Multi-Dimensional
Incomplete Block Designs . . . . . . . . 1577--1590
A. P. Basu On a Generalized Savage Statistic with
Applications to Life Testing . . . . . . 1591--1604
K. S. Miller Some multivariate $t$-distributions . . 1605--1609
Thomas P. Hettmansperger On the trimmed Mann--Whitney statistic 1610--1614
James M. Dickey Three Multidimensional-integral
Identities with Bayesian Applications 1615--1628
J. L. Hodges, Jr. and
E. L. Lehmann A compact table for power of the
$t$-test . . . . . . . . . . . . . . . . 1629--1637
C. A. McGilchrist Efficient Difference Equation Estimators
in Exponential Regression . . . . . . . 1638--1645
Chia Kuei Tsao Admissibility and Distribution of Some
Probabilistic Functions of Discrete
Finite State Markov Chains . . . . . . . 1646--1653
G. K. Bhattacharyya and
Richard A. Johnson Approach to Degeneracy and the
Efficiency of Some Multivariate Tests 1654--1660
Robert H. Berk and
I. Richard Savage The Information in a Rank-order and the
Stopping Time of Some Associated SPRT's 1661--1674
Ronald Pyke and
Galen R. Shorack Weak Convergence and a Chernoff--Savage
Theorem for Random Sample Sizes . . . . 1675--1685
Nariaki Sugiura and
Hisao Nagao Unbiasedness of Some Test Criteria for
the Equality of One or Two Covariance
Matrices . . . . . . . . . . . . . . . . 1686--1692
Irving J. Hall and
Akio Kudô On Slippage Tests ---- I. A
Generalization of Neyman--Pearson's
Lemma . . . . . . . . . . . . . . . . . 1693--1699
Leo A. Goodman How to Minimize or Maximize the
Probabilities of Extinction in a
Galton--Watson Process and in Some
Related Multiplicative Population
Processes . . . . . . . . . . . . . . . 1700--1710
A. T. James Calculation of Zonal Polynomial
Coefficients by Use of the
Laplace--Beltrami Operator . . . . . . . 1711--1718
S. W. Dharmadhikari and
V. Fabian and
K. Jogdeo Bounds on the Moments of Martingales . . 1719--1723
Pranab Kumar Sen Asymptotic Normality of Sample Quantiles
for $m$-Dependent Processes . . . . . . 1724--1730
G. K. Bhattacharyya and
Richard A. Johnson Nonparametric Tests for Shift at an
Unknown Time Point . . . . . . . . . . . 1731--1743
Arthur Cohen A Note on the Admissibility of Pooling
in the Analysis of Variance . . . . . . 1744--1746
L. D. Meshalkin On the Robustness of Some
Characterizations of the Normal
Distribution . . . . . . . . . . . . . . 1747--1750
Henrick John Malik Exact Distribution of the Product of
Independent Generalized Gamma Variables
with the Same Shape Parameter . . . . . 1751--1752
J. Mineka A Mixture of Recurrent Random Walks Need
not be Recurrent . . . . . . . . . . . . 1753--1754
Y. S. Chow and
W. J. Studden On the monotonicity of $ E_p \, (S_t /
t) $ . . . . . . . . . . . . . . . . . . 1755--1755
Else Sandved Ancillary Statistics and Estimation of
the Loss in Estimation Problems . . . . 1756--1758
Khursheed Alam Some results on Pólya type $2$
distributions . . . . . . . . . . . . . 1759--1761
Koteswara Rao Kadiyala An Inequality for the Ratio of Two
Quadratic Forms in Normal Variates . . . 1762--1763
N. Giri Correction Note: Correction to ``On
Tests of the Equality of Two Covariance
Matrices'' . . . . . . . . . . . . . . . 1764--1764
Wassily Hoeffding Review: Jaroslav Hajek, Zbynek Sidak,
\booktitleTheory of Rank Tests . . . . . 1765--1768
J. G. Wendel Review: J. Keilson, \booktitleGreen's
Function Methods in Probability Theory 1769--1769
Anonymous Abstracts of Papers . . . . . . . . . . 1770--1795
Anonymous News and Notices . . . . . . . . . . . . 1796--1798
Anonymous Publications Received . . . . . . . . . 1798--1799
Krishna B. Athreya and
Samuel Karlin Embedding of Urn Schemes into Continuous
Time Markov Branching Processes and
Related Limit Theorems . . . . . . . . . 1801--1817
Leo Breiman A Delicate Law of the Iterated Logarithm
for Non-Decreasing Stable Processes . . 1818--1824
J. N. Srivastava On a General Class of Designs for
Multiresponse Experiments . . . . . . . 1825--1843
S. C. Schwartz and
W. L. Root On Dominating an Average Associated with
Dependent Gaussian Vectors . . . . . . . 1844--1848
Grace Wahba On the Distribution of Some Statistics
Useful in the Analysis of Jointly
Stationary Time Series . . . . . . . . . 1849--1862
Grace Lo Yang Contagion in Stochastic Models for
Epidemics . . . . . . . . . . . . . . . 1863--1889
Dennis C. Gilliland Sequential Compound Estimation . . . . . 1890--1904
Alberto Ruiz-Moncayo Optimal Stopping for Functions of Markov
Chains . . . . . . . . . . . . . . . . . 1905--1912
Pranab Kumar Sen Robustness of Some Nonparametric
Procedures in Linear Models . . . . . . 1913--1922
G. Andersen and
T. Kawata Some Integral Transforms of
Characteristic Functions . . . . . . . . 1923--1931
Alfredo Baños On Pseudo-Games . . . . . . . . . . . . 1932--1945
Gordon Simons On the Cost of not Knowing the Variance
when Making a Fixed-Width Confidence
Interval for the Mean . . . . . . . . . 1946--1952
K. B. Gray, Jr. Sequential Selection of Experiments . . 1953--1977
R. H. Farrell On the Admissibility at $ \infty $,
Within the Class of Randomized Designs,
of Balanced Designs . . . . . . . . . . 1978--1994
Norman R. Draper and
Agnes M. Herzberg Further Second Order Rotatable Designs 1995--2001
Jagbir Singh and
W. A. Thompson, Jr. A Treatment of Ties in Paired
Comparisons . . . . . . . . . . . . . . 2002--2015
James Avery Davis Convergence Rates for Probabilities of
Moderate Deviations . . . . . . . . . . 2016--2028
Irving J. Hall and
Akio Kudô and
Neng-che Yeh On slippage tests. II. Similar slippage
tests . . . . . . . . . . . . . . . . . 2029--2037
Gideon Schwarz Asymptotic Shapes for Sequential Testing
of Truncation Parameters . . . . . . . . 2038--2043
Paul I. Feder On the Distribution of the Log
Likelihood Ratio Test Statistic When the
True Parameter is ``Near'' the
Boundaries of the Hypothesis Regions . . 2044--2055
S. G. Ghurye Information and Sufficient Sub-fields 2056--2066
D. G. Hoel and
M. Mazumdar An Extension of Paulson's Selection
Procedure . . . . . . . . . . . . . . . 2067--2074
M. Haseeb Rizvi and
Milton Sobel and
George G. Woodworth Nonparametric Ranking Procedures for
Comparison with a Control . . . . . . . 2075--2093
Lester E. Dubins On a Theorem of Skorohod . . . . . . . . 2094--2097
E. Seneta On Recent Theorems Concerning the
Supercritical Galton--Watson Process . . 2098--2102
S. M. Samuels Randomized Rules for the
Two-Armed-Bandit with Finite Memory . . 2103--2107
Clifford Qualls On a Limit Distribution of High Level
Crossings of a Stationary Gaussian
Process . . . . . . . . . . . . . . . . 2108--2113
Shulamith Gross and
Paul W. Holland The Distribution of Galton's Statistic 2114--2117
Sheldon M. Ross Arbitrary State Markovian Decision
Processes . . . . . . . . . . . . . . . 2118--2122
David Blackwell and
David Freedman On the Local Behavior of Markov
Transition Probabilities . . . . . . . . 2123--2127
Joseph L. Gastwirth and
Stephen S. Wolff An Elementary Method for Obtaining Lower
Bounds on the Asymptotic Power of Rank
Tests . . . . . . . . . . . . . . . . . 2128--2130
Richard A. Olshen Representing Finitely Additive Invariant
Probabilities . . . . . . . . . . . . . 2131--2135
Walter L. Smith Necessary Conditions for Almost Sure
Extinction of a Branching Process with
Random Environment . . . . . . . . . . . 2136--2140
Burgess Davis Comparison Tests for the Convergence of
Martingales . . . . . . . . . . . . . . 2141--2144
Choo-whan Kim A Generalization of Itô's Theorem
Concerning the Pointwise Ergodic Theorem 2145--2148
Donald L. Iglehart and
Howard M. Taylor Weak Convergence of a Sequence of
Quickest Detection Problems . . . . . . 2149--2153
Eustratios G. Kounias Bounds for the Probability of a Union,
with Applications . . . . . . . . . . . 2154--2158
C. M. Deo and
D. R. Truax A Note on the Weak Law . . . . . . . . . 2159--2160
David A. Freedman Correction Notes: Correction to ``A
Remark on Sequential Discrimination'' 2161--2161
S. Kullback Correction Notes: Correction to
``Probability Densities with Given
Marginals'' . . . . . . . . . . . . . . 2161--2161
Alastair Scott Correction Notes: Correction to ``A Note
on Conservative Confidence Intervals for
the Mean of a Multivariate Normal'' . . 2161--2161
Friedrich Gebhardt Correction Notes: Correction to Abstract
``Some Numerical Results to R. Borges'
Approximation of the Binomial
Distribution'' . . . . . . . . . . . . . 2162--2162
Robert A. Wijsman Review: Thomas S. Ferguson, Mathematical
Statistics, \booktitleA Decision
Theoretic Approach . . . . . . . . . . . 2163--2167
Steven Orey Review: J. G. Kemeny, L. J. Snell, A. W.
Knapp, \booktitleDenumerable Markov
Chains . . . . . . . . . . . . . . . . . 2168--2168
B. R. Bhat Review: J. J. Martin, \booktitleBayesian
Decision Problems and Markov Chains . . 2169--2170
Anonymous Abstracts of Papers . . . . . . . . . . 2171--2173
Anonymous News and Notices . . . . . . . . . . . . 2174--2187
Anonymous Publications Received . . . . . . . . . 2187--2188
P. J. Bickel A Distribution Free Version of the
Smirnov Two Sample Test in the
$p$-Variate Case . . . . . . . . . . . . 1--23
Joseph L. Gastwirth and
Herman Rubin On Robust Linear Estimators . . . . . . 24--39
R. M. Dudley The Speed of Mean Glivenko--Cantelli
Convergence . . . . . . . . . . . . . . 40--50
J. Pfanzagl Further Remarks on Topology and
Convergence in Some Ordered Families of
Distributions . . . . . . . . . . . . . 51--65
William D. Sudderth On Measurable, Nonleavable Gambling
Houses with a Goal . . . . . . . . . . . 66--70
Lajos Takács On Erlang's Formula . . . . . . . . . . 71--78
Michel Metivier Existence of an Invariant Measure and an
Ornstein's Ergodic Theorem . . . . . . . 79--96
T. Petrie Probabilistic Functions of Finite State
Markov Chains . . . . . . . . . . . . . 97--115
L. A. Gardner, Jr. On Detecting Changes in the Mean of
Normal Variates . . . . . . . . . . . . 116--126
Allan F. Abrahamse The Tail Field of a Markov Chain . . . . 127--136
S. C. Port and
C. J. Stone The Asymmetric Cauchy Processes on the
Line . . . . . . . . . . . . . . . . . . 137--143
O. Abe A Central Limit Theorem for the Number
of Edges in the Random Intersection of
Two Graphs . . . . . . . . . . . . . . . 144--151
M. C. Cheng The Orthant Probabilities of Four
Gaussian Variates . . . . . . . . . . . 152--161
D. Basu and
J. K. Ghosh Invariant Sets for Translation-Parameter
Families of Measures . . . . . . . . . . 162--174
C. Ramankutty Nair Partially Balanced Incomplete Block
Designs with Two-Way Classification of
Treatments . . . . . . . . . . . . . . . 175--187
S. James Press On Serial Correlation . . . . . . . . . 188--196
T. R. Chow Equivalence of Gaussian Stationary
Processes . . . . . . . . . . . . . . . 197--202
D. M. Eaves The Central Limit Problem for
Generalized Random Fields . . . . . . . 203--215
V. M. Joshi On a Theorem of Karlin Regarding
Admissible Estimates for Exponential
Populations . . . . . . . . . . . . . . 216--223
K. R. Gabriel Simultaneous Test Procedures--Some
Theory of Multiple Comparisons . . . . . 224--250
L. A. Bruckner Interpolation of Homogeneous Random
Fields on Discrete Groups . . . . . . . 251--258
C. B. Bell and
H. Smith Haller Bivariate Symmetry Tests: Parametric and
Nonparametric . . . . . . . . . . . . . 259--269
Richard Schwartz Invariant Proper Bayes Tests for
Exponential Families . . . . . . . . . . 270--283
Catherine Doléans Variation Quadratique Des Martingales
Continues \`a Droite. (French)
[Quadratic Variation of Right-Continuous
Martingales] . . . . . . . . . . . . . . 284--289
A. A. Afifi and
R. M. Elashoff Multivariate Two Sample Tests with
Dichotomous and Continuous Variables. I.
The Location Model . . . . . . . . . . . 290--298
Václav Fabian Stochastic Approximation for Smooth
Functions . . . . . . . . . . . . . . . 299--302
K. G. Binmore and
H. H. Stratton A Note on Characteristic Functions . . . 303--307
David K. Hildebrand Domains of Optimality of Tests in Simple
Random Sampling . . . . . . . . . . . . 308--312
Gideon Schwarz A Second-Order Approximation to Optimal
Sampling Regions . . . . . . . . . . . . 313--315
Ashok Maitra A Note on Positive Dynamic Programming 316--318
Percy A. Pierre New Conditions for Central Limit
Theorems . . . . . . . . . . . . . . . . 319--321
Lloyd Fisher and
D. W. Walkup An Example of the Difference Between the
Levy and Levy--Prokhorov Metrics . . . . 322--324
A. E. Sarhan and
B. G. Greenberg Correction Note: Correction to
``Estimation of Location and Scale
Parameters by Order Statistics from
Singly and Doubly Censored Samples: Part
I. The Normal Distribution up to Samples
of Size 10'' . . . . . . . . . . . . . . 325--325
Norman L. Johnson Review: Frank A. Haight,
\booktitleHandbook of the Poisson
Distribution . . . . . . . . . . . . . . 326--327
R. M. Dudley Review: K. R. Parthasarathy,
\booktitleProbability Measures on Metric
Spaces . . . . . . . . . . . . . . . . . 328--328
Anonymous Abstracts of Papers . . . . . . . . . . 329--332
Anonymous News and Notices . . . . . . . . . . . . 333--337
Anonymous Publications Received . . . . . . . . . 337--337
H. K. Brons and
H. D. Brunk and
W. E. Franck and
D. L. Hanson Generalized Means and Associated
Families of Distributions . . . . . . . 339--355
R. H. Farrell On the Admissibility of a Randomized
Symmetrical Design for the Problem of a
One Way Classification . . . . . . . . . 356--365
Bruce L. Miller and
Arthur F. Veinott, Jr. Discrete Dynamic Programming with a
Small Interest Rate . . . . . . . . . . 366--370
M. T. Boswell and
H. D. Brunk Distribution of Likelihood Ratio in
Testing Against Trend . . . . . . . . . 371--380
Lloyd Fisher and
John W. Van Ness Distinguishability of Probability
Measures . . . . . . . . . . . . . . . . 381--392
Robert H. Berk Biorthogonal and Dual Configurations and
the Reciprocal Normal Distribution . . . 393--398
Michael Sharpe Sample Path Variations of Homogeneous
Processes . . . . . . . . . . . . . . . 399--407
David A. Harville Variances of Variance-Component
Estimators for the Unbalanced $2$-Way
Cross Classification with Application to
Balanced Incomplete Block Designs . . . 408--416
Peter J. Bickel and
Joseph A. Yahav On an A.P.O. Rule in Sequential
Estimation with Quadratic Loss . . . . . 417--426
Y. S. Chow Martingale Extensions of a Theorem of
Marcinkiewicz and Zygmund . . . . . . . 427--433
Roger Cuppens On Finite Products of Poisson-Type
Characteristic Functions of Several
Variables . . . . . . . . . . . . . . . 434--444
Melvin N. Woinsky and
Ludwik Kurz Sequential Nonparametric Two-Way
Classification with a Prescribed Maximum
Asymptotic Error Probability . . . . . . 445--455
William F. Stout and
Y. S. Chow On the Expected Value of a Stopped
Stochastic Sequence . . . . . . . . . . 456--461
C. Villegas On the Least Squares Estimation of
Non-Linear Relations . . . . . . . . . . 462--466
Dennis C. Gilliland Approximation to Bayes Risk in Sequences
of Non-finite Games . . . . . . . . . . 467--474
Ellen S. Hertz On Convergence Rates in the Central
Limit Theorem . . . . . . . . . . . . . 475--479
D. Mejzler and
I. Weissman On Some Results of N. V. Smirnov
Concerning Limit Distributions for
Variational Series . . . . . . . . . . . 480--491
Edward J. Dudewicz An Approximation to the Sample Size in
Selection Problems . . . . . . . . . . . 492--497
B. L. Raktoe Combining Elements from Distinct Finite
Fields in Mixed Factorials . . . . . . . 498--504
Burgess Davis A Comparison Test for Martingale
Inequalities . . . . . . . . . . . . . . 505--508
Edward Paulson Sequential Interval Estimation for the
Means of Normal Populations . . . . . . 509--516
Harold J. Kushner An Application of the Sobolev Imbedding
Theorems to Criteria for the Continuity
of Processes with a Vector Parameter . . 517--526
David Siegmund On Moments of the Maximum of Normed
Partial Sums . . . . . . . . . . . . . . 527--531
D. J. Daley Quasi-Stationary Behaviour of a
Left-Continuous Random Walk . . . . . . 532--539
Richard H. Jones Phase Free Estimation of Coherence . . . 540--548
Michael D. Perlman One-Sided Testing Problems in
Multivariate Analysis . . . . . . . . . 549--567
R. M. Loynes The Consistency of Certain Sequential
Estimators . . . . . . . . . . . . . . . 568--574
M. H. DeGroot and
N. Starr Optimal Two-Stage Stratified Sampling 575--582
Clifford Hildreth Asymptotic Distribution of Maximum
Likelihood Estimators in a Linear Model
With Autoregressive Disturbances . . . . 583--594
R. E. Barlow and
F. Proschan A Note on Tests for Monotone Failure
Rate Based on Incomplete Data . . . . . 595--600
Walter Philipp The Remainder in the Central Limit
Theorem for Mixing Stochastic Processes 601--609
Madan Lal Puri and
Pranab Kumar Sen Analysis of Covariance Based on General
Rank Scores . . . . . . . . . . . . . . 610--618
Madan L. Puri and
Prem S. Puri Multiple Decision Procedures Based on
Ranks for Certain Problems in Analysis
of Variance . . . . . . . . . . . . . . 619--632
Robert I. Jennrich Asymptotic Properties of Non-Linear
Least Squares Estimators . . . . . . . . 633--643
Barry H. Margolin and
Frederick Mosteller The Expected Coverage to the Left of the
$i$-th Order Statistic for Arbitrary
Distributions . . . . . . . . . . . . . 644--647
R. A. Olshen and
D. O. Siegmund Some First Passage Problems for $ S_n /
n^{\frac {1}{2}} $ . . . . . . . . . . . 648--652
Isaac Meilijson A Note on Sequential Multiple Decision
Procedures . . . . . . . . . . . . . . . 653--657
K. L. Mehra and
P. K. Sen On a Class of Conditionally
Distribution-Free Tests for Interactions
in Factorial Experiments . . . . . . . . 658--664
B. J. McCabe The Asymptotic Behavior of a Certain
Markov Chain . . . . . . . . . . . . . . 665--666
Arthur Nádas An Extension of a Theorem of Chow and
Robbins on Sequential Confidence
Intervals for the Mean . . . . . . . . . 667--671
V. P. Godambe Admissibility and Bayes Estimation in
Sampling Finite Populations--V . . . . . 672--676
Benton Jamison and
Steven Orey An Optional Stopping Theorem . . . . . . 677--678
Henry B. Mann A Note on Balanced Incomplete Block
Designs . . . . . . . . . . . . . . . . 679--680
Michael J. Wichura Inequalities with Applications to the
Weak Convergence of Random Processes
with Multi-Dimensional Time Parameters 681--687
C. C. Heyde On a Fluctuation Theorem for Processes
with Independent Increments II . . . . . 688--691
R. M. Meyer Note on a `Multivariate' Form of
Bonferroni's Inequalities . . . . . . . 692--693
U. Krengel and
L. Sucheston Note on Shift-Invariant Sets . . . . . . 694--696
Somesh Das Gupta Properties of Power Functions of Some
Tests Concerning Dispersion Matrices of
Multivariate Normal Distributions . . . 697--701
Jan M. Hoem The Sampling Distribution of an
Estimator Arising in Connection with the
Truncated Exponential Distribution . . . 702--703
Rasul A. Khan A General Method of Determining
Fixed-Width Confidence Intervals . . . . 704--709
Y. S. Sathe and
S. D. Varde On Minimum Variance Unbiased Estimation
of Reliability . . . . . . . . . . . . . 710--714
D. H. Root The Existence of Certain Stopping Times
on Brownian Motion . . . . . . . . . . . 715--718
K. S. Banerjee Correction Note: Correction to
``Singularity in Hotelling's Weighing
Designs and a Generalized Inverse'' . . 719--719
Anonymous Abstracts of Papers . . . . . . . . . . 720--727
Anonymous News and Notices . . . . . . . . . . . . 728--740
Anonymous Publications Received . . . . . . . . . 741--741
Krishna B. Athreya On the Supercritical One Dimensional Age
Dependent Branching Processes . . . . . 743--763
W. L. Steiger A Best Possible Kolmogoroff-Type
Inequality for Martingales and a
Characteristic Property . . . . . . . . 764--769
Stephen Mack Stigler Linear Functions of Order Statistics . . 770--788
Tien-fang Hou Weak Approachability in a Two-Person
Game . . . . . . . . . . . . . . . . . . 789--813
Walter L. Smith and
William E. Wilkinson On Branching Processes in Random
Environments . . . . . . . . . . . . . . 814--827
Thomas M. Cover Hypothesis Testing with Finite
Statistics . . . . . . . . . . . . . . . 828--835
P. C. Consul On the Exact Distributions of Votaw's
Criteria for Testing Compound Symmetry
of a Covariance Matrix . . . . . . . . . 836--843
Lawrence D. Stone On the Distribution of the Supremum
Functional for Semi-Markov Processes
with Continuous State Spaces . . . . . . 844--853
James Pickands III Efficient Estimation of a Probability
Density Function . . . . . . . . . . . . 854--864
Martin Fox and
Herman Rubin Functions of processes with Markovian
states. II . . . . . . . . . . . . . . . 865--869
Edward C. Posner and
Eugene R. Rodemich and
Howard Rumsey, Jr. Product Entropy of Gaussian
Distributions . . . . . . . . . . . . . 870--904
Richard E. Barlow and
Shanti S. Gupta Selection Procedures for Restricted
Families of Probability Distributions 905--917
R. E. Barlow and
S. S. Gupta and
S. Panchapakesan On the Distribution of the Maximum and
Minimum of Ratios of Order Statistics 918--934
Leon Jay Gleser On Limiting Distributions for Sums of a
Random Number of Independent Random
Vectors . . . . . . . . . . . . . . . . 935--941
Nariaki Sugiura and
Yasunori Fujikoshi Asymptotic Expansions of the Non-Null
Distributions of the Likelihood Ratio
Criteria for Multivariate Linear
Hypothesis and Independence . . . . . . 942--952
A. P. Dempster Upper and Lower Probability Inferences
for Families of Hypotheses with Monotone
Density Ratios . . . . . . . . . . . . . 953--969
Ardel J. Boes Conditional Probability on $ \Sigma
$-Complete Boolean Algebras . . . . . . 970--978
Chien-pai Han Distribution of Discriminant Function
When Covariance Matrices are
Proportional . . . . . . . . . . . . . . 979--985
Naresh C. Jain The Strong Ratio Limit Property for Some
General Markov Processes . . . . . . . . 986--992
L. A. Shepp Explicit Solutions to Some Problems of
Optimal Stopping . . . . . . . . . . . . 993--1010
Siegfried Schach The Asymptotic Distribution of Some Non
Linear Functions of the Two-Sample Rank
Vector . . . . . . . . . . . . . . . . . 1011--1020
J. R. Blum and
Judah Rosenblatt On Fixed Precision Estimation in Time
Series . . . . . . . . . . . . . . . . . 1021--1032
P. Warwick Millar Martingales with Independent Increments 1033--1041
V. M. Joshi Admissibility of the Usual Confidence
Sets for the Mean of a Univariate or
Bivariate Normal Population . . . . . . 1042--1067
S. D. Chatterji An $ L^p $-convergence theorem . . . . . 1068--1070
N. F. G. Martin Uniform Convergence of Families of
Martingales . . . . . . . . . . . . . . 1071--1073
David Siegmund The Variance of One-Sided Stopping Rules 1074--1077
Thomas G. Kurtz A Note on Sequences of Continuous
Parameter Markov Chains . . . . . . . . 1078--1082
E. J. Williams Cauchy-Distributed Functions and a
Characterization of the Cauchy
Distribution . . . . . . . . . . . . . . 1083--1085
P. J. Bickel A remark on the Kolmogorov--Petrovskii
criterion . . . . . . . . . . . . . . . 1086--1090
Eustratios G. Kounias and
Teng-shan Weng An Inequality and Almost Sure
Convergence . . . . . . . . . . . . . . 1091--1093
R. H. Farrell On the Bayes Character of a Standard
Model II Analysis of Variance Test . . . 1094--1097
C. Villegas On the A Priori Distribution of the
Covariance Matrix . . . . . . . . . . . 1098--1099
Jerome Klotz and
Joseph Putter Maximum Likelihood Estimation of
Multivariate Covariance Components for
the Balanced One-Way Layout . . . . . . 1100--1105
Y. S. Chow and
W. J. Studden Monotonicity of the Variance Under
Truncation and Variations of Jensen's
Inequality . . . . . . . . . . . . . . . 1106--1108
F. W. Steutel Infinitely Divisible Renewal
Distributions . . . . . . . . . . . . . 1109--1113
Bert Fristedt A Short Proof of a Known Limit Theorem
for Sum of Independent Random Variables
with Infinite Expectations . . . . . . . 1114--1115
Ronald Pyke and
Galen R. Shorack A note on Chernoff--Savage theorems . . 1116--1119
James Avery Davis A Characterization of the Upper and
Lower Classes in Terms of Convergence
Rates . . . . . . . . . . . . . . . . . 1120--1123
P. J. Holewijn Note on Weyl's Criterion and the Uniform
Distribution of Independent Random
Variables . . . . . . . . . . . . . . . 1124--1125
E. M. Klimko A Uniform Operator Ergodic Theorem . . . 1126--1129
F. W. Steutel Note on Completely Monotone Densities 1130--1131
G. Kallianpur Review: Leo Breiman,
\booktitleProbability . . . . . . . . . 1132--1133
Vaclav Fabian Review: Arthur E. Albert, Leland A.
Gardner, \booktitleStochastic
Approximation and Nonlinear Regression 1134--1135
Tore Dalenius Review: M. N. Murthy, \booktitleSampling
Theory and Methods . . . . . . . . . . . 1136--1138
R. Cuppens Review: B. Ramanchandran,
\booktitleAdvanced Theory of
Characteristic Functions . . . . . . . . 1139--1141
Anonymous Abstracts of Papers . . . . . . . . . . 1142--1161
Anonymous News and Notices . . . . . . . . . . . . 1162--1164
Anonymous Correction: News and Notes . . . . . . . 1165--1165
Anonymous Publications Received . . . . . . . . . 1166--1166
Kjell Doksum Starshaped Transformations and the Power
of Rank Tests . . . . . . . . . . . . . 1167--1176
David A. Freedman and
Roger A. Purves Bayes' Method for Bookies . . . . . . . 1177--1186
Eugene F. Schuster Estimation of a Probability Density
Function and Its Derivatives . . . . . . 1187--1195
R. J. Beran Asymptotic Theory of a Class of Tests
for Uniformity of a Circular
Distribution . . . . . . . . . . . . . . 1196--1206
Richard A. Johnson and
George G. Roussas Asymptotically Most Powerful Tests in
Markov Processes . . . . . . . . . . . . 1207--1215
Peter J. Bickel and
Kjell A. Doksum Tests for Monotone Failure Rate Based on
Normalized Spacings . . . . . . . . . . 1216--1235
Bruce M. Brown Moments of a Stopping Rule Related to
the Central Limit Theorem . . . . . . . 1236--1249
Peter J. Bickel Tests for monotone failure rate. II . . 1250--1260
S. G. Ghurye and
Ingram Olkin Unbiased Estimation of Some Multivariate
Probability Densities and Related
Functions . . . . . . . . . . . . . . . 1261--1271
Edward C. Posner and
Eugene R. Rodemich and
Howard Rumsey Epsilon Entropy of Gaussian Processes 1272--1296
Derrick S. Tracy Some Multiple Products of Polykays . . . 1297--1299
Yung Liang Tong On Partitioning a Set of Normal
Populations by Their Locations with
Respect to a Control . . . . . . . . . . 1300--1324
Madan Lal Puri and
Pranab Kumar Sen A Class of Rank Order Tests for a
General Linear Hypothesis . . . . . . . 1325--1343
M. M. Lentner Generalized Least-Squares Estimation of
a Subvector of Parameters in Randomized
Fractional Factorial Experiments . . . . 1344--1352
J. Pfanzagl Consistent Estimation of a Location
Parameter in the Presence of an
Incidental Scale Parameter . . . . . . . 1353--1357
I. Olkin and
S. J. Press Testing and Estimation for a Circular
Stationary Model . . . . . . . . . . . . 1358--1373
R. K. Lohrding A Test of Equality of Two Normal
Population Means Assuming Homogeneous
Coefficients of Variation . . . . . . . 1374--1385
George G. Roussas Nonparametric Estimation of the
Transition Distribution Function of a
Markov Process . . . . . . . . . . . . . 1386--1400
R. C. Griffiths The Canonical Correlation Coefficients
of Bivariate Gamma Distributions . . . . 1401--1408
A. D. Wyner On the Asymptotic Distribution of a
Certain Functional of the Wiener Process 1409--1418
Peter C. Fishburn A General Theory of Subjective
Probabilities and Expected Utilities . . 1419--1429
Franklin A. Graybill and
George Milliken Quadratic Forms and Idempotent Matrices
with Random Elements . . . . . . . . . . 1430--1438
A. M. Mathai and
R. K. Saxena Distribution of a Product and the
Structural Set Up of Densities . . . . . 1439--1448
G. P. Steck The Smirnov Two Sample Tests as Rank
Tests . . . . . . . . . . . . . . . . . 1449--1466
Stephen R. Kimbleton A Stable Limit Theorem for Markov Chains 1467--1473
J. L. Denny Note on a Theorem of Dynkin on the
Dimension of Sufficient Statistics . . . 1474--1476
James M. Dickey Smoothing by Cheating . . . . . . . . . 1477--1482
Martin Fox and
S. K. Perng Inadmissibility of the Best Invariant
Test When the Moment is Infinite Under
One of the Hypotheses . . . . . . . . . 1483--1485
Ryoji Tamura Some Multivariate Comparison Procedures
Based on Ranks . . . . . . . . . . . . . 1486--1491
Robert H. Berk Strong Consistency of Certain Sequential
Estimators . . . . . . . . . . . . . . . 1492--1495
Geoffrey S. Watson Density Estimation by Orthogonal Series 1496--1498
D. S. Moore and
E. G. Henrichon Uniform Consistency of Some Estimates of
a Density Function . . . . . . . . . . . 1499--1502
Michael Sharpe Zeroes of Infinitely Divisible Densities 1503--1505
S. W. Dharmadhikari and
Kumar Jogdeo Bounds on Moments of Certain Random
Variables . . . . . . . . . . . . . . . 1506--1509
O. Abe Correction Notes: Correction to ``A
Central Limit Theorem for the Number of
Edges in the Random Intersection of Two
Graphs'' . . . . . . . . . . . . . . . . 1510--1510
Surendra K. Srivastava Correction Notes: Correction to Abstract
``A Generalized Estimator for the Mean
of a Finite Population Using
Multi-Auxiliary Information'' . . . . . 1510--1510
Anonymous Abstracts of Papers . . . . . . . . . . 1511--1518
Anonymous News and Notices . . . . . . . . . . . . 1519--1520
Anonymous Publications Received . . . . . . . . . 1520--1521
P. J. Bickel and
E. L. Lehmann Unbiased Estimation in Convex Families 1523--1535
Dennis C. Gilliland and
James F. Hannan On an Extended Compound Decision Problem 1536--1541
M. Dubman and
B. Sherman Estimation of Parameters in a Transient
Markov Chain Arising in a Reliability
Growth Model . . . . . . . . . . . . . . 1542--1556
W. J. Studden and
D. J. Van Arman Admissible Designs for Polynomial Spline
Regression . . . . . . . . . . . . . . . 1557--1569
Corwin L. Atwood Optimal and Efficient Designs of
Experiments . . . . . . . . . . . . . . 1570--1602
Barthel W. Huff The Loose Subordination of Differential
Processes to Brownian Motion . . . . . . 1603--1609
Dean Isaacson Stochastic Integrals and Derivatives . . 1610--1616
Sujit Kumar Mitra and
C. Radhakrishna Rao Conditions for Optimality and Validity
of Simple Least Squares Theory . . . . . 1617--1624
E. Wong Homogeneous Gauss--Markov random fields 1625--1634
Arthur F. Veinott, Jr. Discrete Dynamic Programming with
Sensitive Discount Optimality Criteria 1635--1660
Edward J. Wegman A Note on Estimating a Unimodal Density 1661--1667
Pranab Kumar Sen On a Class of Rank Order Tests for the
Parallelism of Several Regression Lines 1668--1683
Willem Schaafsma Minimax Risk and Unbiasedness for
Multiple Decision Problems of Type I . . 1684--1720
D. C. Doss Characterizations of the Linear
Exponential Family in a Parameter by
Recurrence Relations for Functions of
Cumulants . . . . . . . . . . . . . . . 1721--1727
S. Yakowitz A Consistent Estimator for the
Identification of Finite Mixtures . . . 1728--1735
J. S. Mehta and
John Gurland Some Properties and an Application of a
Statistic Arising in Testing Correlation 1736--1745
Harold I. Jacobson The Maximum Variance of Restricted
Unimodal Distributions . . . . . . . . . 1746--1752
Morris Skibinsky Some Striking Properties of Binomial and
Beta Moments . . . . . . . . . . . . . . 1753--1764
J. Van Ryzin On Strong Consistency of Density
Estimates . . . . . . . . . . . . . . . 1765--1772
Marek Kanter On Distinguishing Translates of Measures 1773--1777
Kjell Doksum Minimax Results for IFRA Scale
Alternatives . . . . . . . . . . . . . . 1778--1783
P. V. Rao and
J. I. Thornby A Robust Point Estimator in a
Generalized Regression Model . . . . . . 1784--1790
Siegfried Schach On a Class of Nonparametric Two-Sample
Tests for Circular Distributions . . . . 1791--1800
J. V. Zidek Inadmissibility of the Best Invariant
Estimator of Extreme Quantiles of the
Normal Law Under Squared Error Loss . . 1801--1808
D. S. Moore Asymptotically Nearly Efficient
Estimators of Multivariate Location
Parameters . . . . . . . . . . . . . . . 1809--1823
Lloyd Fisher Limiting Sets and Convex Hulls of
Samples from Product Measures . . . . . 1824--1832
M. A. Stephens Results from the Relation Between Two
Statistics of the Kolmogorov--Smirnov
Type . . . . . . . . . . . . . . . . . . 1833--1837
Kei Takeuchi A Note on the Test for the Location
Parameter of an Exponential Distribution 1838--1839
D. A. Preece Near-Cyclic Representations for Some
Resolution VI Fractional Factorial Plans 1840--1843
Dean Isaacson Note on the Three Series Theorem . . . . 1844--1844
C. Radhakrishna Rao A Decomposition Theorem for Vector
Variables with a Linear Structure . . . 1845--1849
I. R. Savage and
I. N. Shimi A Branching Process Without Rebranching 1850--1851
Burgess Davis Divergence Properties of Some Martingale
Transforms . . . . . . . . . . . . . . . 1852--1854
Leo Breiman Addendum: Addendum to ``A Delicate Law
of the Iterated Logarithm for
Non-Decreasing Stable Processes'' . . . 1855--1855
Percy A. Pierre Correction Note: Correction to ``New
Conditions for Central Limit Theorems'' 1855--1855
Anonymous Abstracts of Papers . . . . . . . . . . 1856--1883
Anonymous News and Notices . . . . . . . . . . . . 1884--1887
Anonymous Publications Received . . . . . . . . . 1887--1887
Jana Jure\vcková Asymptotic Linearity of a Rank Statistic
in Regression Parameter . . . . . . . . 1889--1900
J. Keilson On the Matrix Renewal Function for
Markov Renewal Processes . . . . . . . . 1901--1907
Gerald L. Sievers On the Probability of Large Deviations
and Exact Slopes . . . . . . . . . . . . 1908--1921
C. L. Mallows and
Donald Richter Inequalities of Chebyshev Type Involving
Conditional Expectations . . . . . . . . 1922--1932
M. Schulzer Contributions to the $k$-Sample Problem:
A Symmetric Statistic . . . . . . . . . 1933--1949
Hira Lal Koul Asymptotic Behavior of Wilcoxon Type
Confidence Regions in Multiple Linear
Regression . . . . . . . . . . . . . . . 1950--1979
S. M. Samuels The Markov Inequality for Sums of
Independent Random Variables . . . . . . 1980--1984
Walter Philipp The Law of the Iterated Logarithm for
Mixing Stochastic Processes . . . . . . 1985--1991
Václav Dupa\vc and
Jaroslav Hájek Asymptotic Normality of Simple Linear
Rank Statistics Under Alternatives II 1992--2017
Nariaki Sugiura and
Hisao Nagao On Bartlett's Test and Lehmann's Test
for Homogeneity of Variances . . . . . . 2018--2032
K. C. S. Pillai and
S. Al-Ani and
G. M. Jouris On the Distributions of the Ratios of
the Roots of a Covariance Matrix and
Wilks' Criterion for Tests of Three
Hypotheses . . . . . . . . . . . . . . . 2033--2040
Galen R. Shorack Asymptotic Normality of Linear
Combinations of Functions of Order
Statistics . . . . . . . . . . . . . . . 2041--2050
Nariaki Sugiura Asymptotic Expansions of the
Distributions of the Likelihood Ratio
Criteria for Covariance Matrix . . . . . 2051--2063
William N. Anderson, Jr. and
George B. Kleindorfer and
Paul R. Kleindorfer and
Michael B. Woodroofe Consistent Estimates of the Parameters
of a Linear System . . . . . . . . . . . 2064--2075
James N. Arvesen Jackknifing $U$-statistics . . . . . . . 2076--2100
Harold D. Shane and
Madan L. Puri Rank Order Tests for Multivariate Paired
Comparisons . . . . . . . . . . . . . . 2101--2117
Peter C. Fishburn Weak Qualitative Probability on Finite
Sets . . . . . . . . . . . . . . . . . . 2118--2126
Bruno O. Shubert Bayesian Model of Decision-Making as a
Result of Learning From Experience . . . 2127--2142
Bennett Eisenberg The Relation of the Equivalence
Conditions for the Brownian Motion to
the Equivalence Conditions for Certain
Stationary Processes . . . . . . . . . . 2143--2148
Nancy R. Mann Optimum Estimators for Linear Functions
of Location and Scale Parameters . . . . 2149--2155
J. H. B. Kemperman On the Optimum Rate of Transmitting
Information . . . . . . . . . . . . . . 2156--2177
C. C. Heyde On Extended Rate of Convergence Results
for the Invariance Principle . . . . . . 2178--2179
S. Kullback A Bound for the Variation of Gaussian
Densities . . . . . . . . . . . . . . . 2180--2182
D. J. Bartholomew Sufficient Conditions for a Mixture of
Exponentials to be a Probability Density
Function . . . . . . . . . . . . . . . . 2183--2188
David A. Harville Expression of Variance-Component
Estimators as Linear Combinations of
Independent Noncentral Chi-Square
Variates . . . . . . . . . . . . . . . . 2189--2194
Terry J. Wagner On the Rate of Convergence for the Law
of Large Numbers . . . . . . . . . . . . 2195--2197
S. K. Perng A Comparison of the Asymptotic Expected
Sample Sizes of Two Sequential
Procedures for Ranking Problem . . . . . 2198--2202
Charles J. Stone The Growth of a Random Walk . . . . . . 2203--2206
S. W. Dharmadhikari A Note on Exchangeable Processes with
States of Finite Rank . . . . . . . . . 2207--2208
Calvin C. Butler A Test for Symmetry Using the Sample
Distribution Function . . . . . . . . . 2209--2210
William D. Sudderth A Note on Thrifty Strategies and
Martingales in a Finitely Additive
Setting . . . . . . . . . . . . . . . . 2211--2214
Marius Iosifescu Correction Note: Correction to
``Sampling Entropy for Random
Homogeneous Systems with Complete
Connections'' . . . . . . . . . . . . . 2215--2215
Anonymous Abstracts of Papers . . . . . . . . . . 2216--2226
Anonymous News and Notices . . . . . . . . . . . . 2227--2236
Anonymous Publications Received . . . . . . . . . 2237--2237
Henry Scheffé Multiple Testing Versus Multiple
Estimation. Improper Confidence Sets.
Estimation of Directions and Ratios . . 1--29
Tyrone E. Duncan On the Absolute Continuity of Measures 30--38
Sidney C. Port The Exit Distribution of an Interval for
Completely Asymmetric Stable Processes 39--43
James Pickands III Spectral Estimation with Random
Truncation . . . . . . . . . . . . . . . 44--58
S. Zacks Bayes and Fiducial Equivariant
Estimators of the Common Mean of Two
Normal Distributions . . . . . . . . . . 59--69
Henry R. Neave An Improved Formula for the Asymptotic
Variance of Spectrum Estimates . . . . . 70--77
Yoshikazu Sawaragi and
Tsuneo Yoshikawa Discrete-Time Markovian Decision
Processes with Incomplete State
Observation . . . . . . . . . . . . . . 78--86
Pranab Kumar Sen and
Madan Lal Puri Asymptotic Theory of Likelihood Ratio
and Rank Order Tests in Some
Multivariate Linear Models . . . . . . . 87--100
J. David Mason Convolutions of Stable Laws as Limit
Distributions of Partial Sums . . . . . 101--114
Burton Singer Some Asymptotic Results in a Model of
Population Growth. I. A class of birth
and death processes . . . . . . . . . . 115--132
D. R. Jensen The Joint Distribution of Traces of
Wishart Matrices and Some Applications 133--145
Barry Belkin A Limit Theorem for Conditioned
Recurrent Random Walk Attracted to a
Stable Law . . . . . . . . . . . . . . . 146--163
Leonard E. Baum and
Ted Petrie and
George Soules and
Norman Weiss A Maximization Technique Occurring in
the Statistical Analysis of
Probabilistic Functions of Markov Chains 164--171
Constance Van Eeden Efficiency-Robust Estimation of Location 172--181
R. Schassberger On the Waiting Time in the Queuing
System GI/G/1 . . . . . . . . . . . . . 182--187
V. K. Murthy and
A. V. Gafarian Limiting Distributions of Some
Variations of the Chi-Square Statistic 188--194
Krishna B. Athreya A Simple Proof of a Result of Kesten and
Stigum on Supercritical Multitype
Galton--Watson Branching Process . . . . 195--202
B. L. Raktoe and
W. T. Federer Characterization of Optimal Saturated
Main Effect Plans of the $ 2^n $
Factorial . . . . . . . . . . . . . . . 203--206
S. W. Dharmadhikari and
M. G. Nadkarni Some Regular and Non-regular Functions
of Finite Markov Chains . . . . . . . . 207--213
James M. Dickey and
B. P. Lientz The Weighted Likelihood Ratio, Sharp
Hypotheses about Chances, the Order of a
Markov Chain . . . . . . . . . . . . . . 214--226
Jayant V. Deshpande A Class of Multisample Distribution-free
Tests . . . . . . . . . . . . . . . . . 227--236
Virool Boonyasombut and
Jesse M. Shapiro The Accuracy of Infinitely Divisible
Approximations to Sums of Independent
Variables with Application to Stable
Laws . . . . . . . . . . . . . . . . . . 237--250
George G. Woodworth Large Deviations and Bahadur Efficiency
of Linear Rank Statistics . . . . . . . 251--283
Michael J. Wichura On the Construction of Almost Uniformly
Convergent Random Variables with Given
Weakly Convergent Image Laws . . . . . . 284--291
R. Gnanadesikan and
M. B. Wilk Use of Maximum Likelihood for Estimating
Error Variance from a Collection of
Analysis of Variance Mean Squares . . . 292--304
Michael Marcus A Bound for the Distribution of the
Maximum of Continuous Gaussian Processes 305--309
David G. Hoel On the Monotonicity of the OC of an SPRT 310--314
Khursheed Alam Monotonicity Properties of the
Multinomial Distribution . . . . . . . . 315--317
Khursheed Alam A Monotonicity Property of the
Distribution of the Studentized Smallest
Chi-Square . . . . . . . . . . . . . . . 318--320
B. L. S. Prakasa Rao On a Characterization of the Wiener
Process by Constant Regression . . . . . 321--325
S. Das Gupta Correction Notes: Correction to
``Optimum Classification Rules for
Classification into Two Multivariate
Normal Populations'' . . . . . . . . . . 326--326
Agnes M. Herzberg Correction Notes: Correction to
``Cylindrically Rotatable Designs of
Types $1$, $2$ and $3$'' . . . . . . . . 326--327
Anonymous Abstracts of Papers . . . . . . . . . . 328--332
Anonymous News and Notices . . . . . . . . . . . . 333--335
Anonymous Publications Received . . . . . . . . . 335--336
Wassily Hoeffding and
Gordon Simons Unbiased Coin Tossing with a Biased Coin 341--352
Thomas S. Ferguson On a Class of Infinite Games Related to
Liar Dice . . . . . . . . . . . . . . . 353--362
Thomas G. Kurtz Approximation of Age Dependent,
Multitype Branching Processes . . . . . 363--368
U. B. Paik and
W. T. Federer A Randomized Procedure of Saturated Main
Effect Fractional Replicates . . . . . . 369--375
Irwin Guttman Construction of $ \beta $-Content
Tolerance Regions at Confidence Level $
\gamma $ for Large Samples from the
$k$-Variate Normal Distribution . . . . 376--400
J. L. Denny Cauchy's Equation and Sufficient
Statistics on Arcwise Connected Spaces 401--411
Michael Schilder Some Structure Theorems for the
Symmetric Stable Laws . . . . . . . . . 412--421
David A. Pierce A Duality Between Autoregressive and
Moving Average Processes Concerning
Their Least Squares Parameter Estimates 422--426
Gedalia Ailam The Asymptotic Distribution of the
Measure of Random Sets with Application
to the Classical Occupancy Problem and
Suggestions for Curve Fitting . . . . . 427--439
Tseng C. Chang On an Asymptotic Representation of the
Distribution of the Characteristic Roots
of $ S_1 S_2^{-1} $ . . . . . . . . . . 440--445
J. V. Zidek Sufficient Conditions for the
Admissibility Under Squared Errors Loss
of Formal Bayes Estimators . . . . . . . 446--456
Edward J. Wegman Maximum Likelihood Estimation of a
Unimodal Density Function . . . . . . . 457--471
Martin Fox and
Herman Rubin Functions of processes with Markovian
states. III . . . . . . . . . . . . . . 472--479
Donald R. McNeil Integral Functionals of Birth and Death
Processes and Related Limiting
Distributions . . . . . . . . . . . . . 480--485
P. R. Fisk A Note on a Characterization of the
Multivariate Normal Distribution . . . . 486--494
George S. Kimeldorf and
Grace Wahba A Correspondence Between Bayesian
Estimation on Stochastic Processes and
Smoothing by Splines . . . . . . . . . . 495--502
R. K. Getoor and
Murali Rao Another Look at Doob's Theorem . . . . . 503--506
B. L. S. Prakasa Rao Estimation for Distributions with
Monotone Failure Rate . . . . . . . . . 507--519
Gary Lorden On Excess Over the Boundary . . . . . . 520--527
Morris L. Eaton Gauss--Markov Estimation for
Multivariate Linear Models: A Coordinate
Free Approach . . . . . . . . . . . . . 528--538
A. Paz Ergodic Theorems for Infinite
Probabilistic Tables . . . . . . . . . . 539--550
Alan J. Truelove Betting Systems in Favorable Games . . . 551--566
G. P. Patil and
S. W. Joshi Further Results on Minimum Variance
Unbiased Estimation and Additive Number
Theory . . . . . . . . . . . . . . . . . 567--575
Frederick W. Leysieffer A System of Markov Chains with Random
Life Times . . . . . . . . . . . . . . . 576--584
Glen Meeden Best Tests for Testing Hypotheses About
a Random Parameter with Unknown
Distribution . . . . . . . . . . . . . . 585--591
J. Mineka and
S. Silverman A Local Limit Theorem and Recurrence
Conditions for Sums of Independent
Non-Lattice Random Variables . . . . . . 592--600
M. T. Chao The Asymptotic Behavior of Bayes'
Estimators . . . . . . . . . . . . . . . 601--608
Harold Sackrowitz Estimation for Monotone Parameter
Sequences: The Discrete Case . . . . . . 609--620
Lucien Le Cam On the Weak Convergence of Probability
Measures . . . . . . . . . . . . . . . . 621--625
Arthur Albert Optimally Timing the Sale of Stock When
the Tax Man is Breathing Down Your Neck 626--641
A. J. Baranchik A Family of Minimax Estimators of the
Mean of a Multivariate Normal
Distribution . . . . . . . . . . . . . . 642--645
A. E. Albert and
L. A. Gardner, Jr. An Addendum to ``Stochastic
Approximation and Nonlinear Regression'' 646--647
J. Robinson On Relationship Algebras of Incomplete
Block Designs . . . . . . . . . . . . . 648--650
Mark Brown An M/G/$ \infty $ Estimation Problem . . 651--654
T. Sugiyama Joint Distribution of the Extreme Roots
of a Covariance Matrix . . . . . . . . . 655--657
B. M. Brown Characteristic Functions, Moments, and
the Central Limit Theorem . . . . . . . 658--664
J. C. Ahuja On a Certain Recurrence Relation . . . . 665--666
Thomas Polfeldt The Order of the Minimum Variance in a
Non-Regular Case . . . . . . . . . . . . 667--672
Thomas Polfeldt Minimum Variance Order when Estimating
the Location of an Irregularity in the
Density . . . . . . . . . . . . . . . . 673--679
Richard G. Wood A Note on Random Polynomials . . . . . . 680--682
I. Olkin and
S. S. Shrikhande An Extension of Wilks' Test for the
Equality of Means . . . . . . . . . . . 683--687
Richard H. Jones Recursive Estimation of a Subset of
Regression Coefficients . . . . . . . . 688--691
B. K. Shah Distribution Theory of a Positive
Definite Quadratic Form with Matrix
Argument . . . . . . . . . . . . . . . . 692--697
Richard L. Dykstra A Characterization of a Conditional
Expectation with Respect to a $ \sigma
$-Lattice . . . . . . . . . . . . . . . 698--701
T. E. S. Raghavan Convex Cones and Finite Optimals . . . . 702--705
Harro Walk Convergence Properties of Martingale
Transforms . . . . . . . . . . . . . . . 706--709
Pedro J. Fernandez A Weak Convergence Theorem for Random
Sums of Independent Random Variables . . 710--712
Robert Harris A Multivariate Definition for Increasing
Hazard Rate Distribution Functions . . . 713--717
Michael Tarter and
Richard Kronmal On Multivariate Density Estimates Based
on Orthogonal Expansions . . . . . . . . 718--722
S. A. Patil and
S. H. Liao The Distribution of the Ratios of Means
to the Square Root of the Sum of
Variances of a Bivariate Normal Sample 723--728
Laurens de Haan Note on a Paper by H. G. Tucker . . . . 729--732
Robert H. Berk A Remark on Almost Invariance . . . . . 733--735
Wilhelmine Stefansky A Necessary and Sufficient Condition
that for Regular Multiple Decision
Problems of Type I Every Unbiased
Procedure Has Minimax Risk . . . . . . . 736--738
C. C. Heyde Extension of a Result of Seneta for the
Super-Critical Galton--Watson Process 739--742
K. R. Shah Analysis of Room's Square Design . . . . 743--745
Raoul LePage Review: Kai Lai Chung, \booktitleA
Course in Probability Theory . . . . . . 746--748
Naresh C. Jain Review: Howard Tucker, \booktitleA
Graduate Course in Probability . . . . . 748--749
Harry Dym Review: R. M. Blumenthal, R. K. Getoor,
\booktitleMarkov Processes and Potential
Theory . . . . . . . . . . . . . . . . . 749--750
Anonymous Abstracts of Papers . . . . . . . . . . 751--757
Anonymous News and Notices . . . . . . . . . . . . 758--763
Anonymous Publications Received . . . . . . . . . 764--764
Martin E. Hellman and
Thomas M. Cover Learning with Finite Memory . . . . . . 765--782
J. L. Hodges, Jr. and
E. L. Lehmann Deficiency . . . . . . . . . . . . . . . 783--801
L. Le Cam On the Assumptions Used to Prove
Asymptotic Normality of Maximum
Likelihood Estimates . . . . . . . . . . 802--828
Mark Brown Convergence in Distribution of
Stochastic Integrals . . . . . . . . . . 829--842
R. V. Erickson Functions of Markov Chains . . . . . . . 843--850
Richard A. Johnson Asymptotic Expansions Associated with
Posterior Distributions . . . . . . . . 851--864
John A. Williamson Fluctuations when $ E(|X_1 |) = \infty $ 865--875
Norman R. Draper and
Toby J. Mitchell Construction of a Set of $ 512$-Run
Designs of Resolution $ \geqq 5$ and a
Set of Even $ 1024$-Run Designs of
Resolution $ \geqq 6$ . . . . . . . . . 876--887
Bennett Eisenberg Translating Gaussian Processes . . . . . 888--893
Robert H. Berk Consistency a Posteriori . . . . . . . . 894--906
Stephen E. Fienberg An Iterative Procedure for Estimation in
Contingency Tables . . . . . . . . . . . 907--917
Richard A. Johnson and
George G. Roussas Asymptotically Optimal Tests in Markov
Processes . . . . . . . . . . . . . . . 918--938
Ward Whitt Weak Convergence of Probability Measures
on the Function Space $ C[0, \infty) $ 939--944
R. P. Pakshirajan and
M. Sreehari The Law of the Iterated Logarithm for a
Markov Process . . . . . . . . . . . . . 945--955
E. Malinvaud The Consistency of Nonlinear Regressions 956--969
M. Safiul Haq Structural Analysis for the First Order
Autoregressive Stochastic Models . . . . 970--978
Robert H. Berk Stopping Times of SPRTS Based on
Exchangeable Models . . . . . . . . . . 979--990
R. J. Muirhead Systems of Partial Differential
Equations for Hypergeometric Functions
of Matrix Argument . . . . . . . . . . . 991--1001
R. J. Muirhead Asymptotic Distributions of Some
Multivariate Tests . . . . . . . . . . . 1002--1010
L. L. Campbell Equivalence of Gauss's Principle and
Minimum Discrimination Information
Estimation of Probabilities . . . . . . 1011--1015
J. C. Geertsema Sequential Confidence Intervals Based on
Rank Tests . . . . . . . . . . . . . . . 1016--1026
R. Ahlswede A Note on the Existence of the Weak
Capacity for Channels with Arbitrarily
Varying Channel Probability Functions
and Its Relation to Shannon's Zero Error
Capacity . . . . . . . . . . . . . . . . 1027--1033
Colin R. Blyth On the Inference and Decision Models of
Statistics . . . . . . . . . . . . . . . 1034--1058
P. Todorovic On Some Problems Involving Random Number
of Random Variables . . . . . . . . . . 1059--1063
Allan F. Abrahamse A Comparison Between the Martin Boundary
Theory and the Theory of Likelihood
Ratios . . . . . . . . . . . . . . . . . 1064--1067
J. David Mason Convergence of Sums to a Convolution of
Stable Laws . . . . . . . . . . . . . . 1068--1070
J. K. Wani and
D. G. Kabe Note on a Characterization of the
Inverse Gaussian Distribution . . . . . 1071--1073
Bengt Rosén On Bounds on the Central Moments of Even
Order of a Sum of Independent Random
Variables . . . . . . . . . . . . . . . 1074--1077
Jerome Klotz The Geometric Density with Unknown
Location Parameter . . . . . . . . . . . 1078--1082
Robert A. Wijsman Continuity of the Bayes Risk . . . . . . 1083--1085
Douglas Kelker and
Ted K. Matthes A Sufficient Statistics Characterization
of the Normal Distribution . . . . . . . 1086--1090
D. J. de Waal Distributions Connected with a
Multivariate Beta Statistic . . . . . . 1091--1095
R. Cuppens and
E. Lukacs On the Domains of Definition of Analytic
Characteristic Functions . . . . . . . . 1096--1101
Gordon Simons A Martingale Decomposition Theorem . . . 1102--1104
Peter W. M. John The Nonexistence of Linked Block Designs
with Latin Square Association Schemes 1105--1107
K. S. Banerjee Some Observations on the
White--Hultquist Procedure for the
Construction of Confounding Plans for
Mixed Factorial Designs . . . . . . . . 1108--1113
P. N. Nagambal and
D. S. Tracy Products of Two Polykays when One has
Weight 5 . . . . . . . . . . . . . . . . 1114--1121
Karl Byleen On Stanton and Mullin's Construction of
Room Squares . . . . . . . . . . . . . . 1122--1125
Leo Breiman Correction Notes: Correction to ``A
Delicate Law of the Iterated Logarithm
for Non-Decreasing Stable Processes'' 1126--1126
D. S. Moore and
E. G. Henrichon Correction Notes: Correction to
``Uniform Consistency of Some Estimates
of a Density Function'' . . . . . . . . 1126--1127
S. Zacks Review: Sidney J. Yakowitz,
\booktitleMathematics of Adaptive
Control Processes . . . . . . . . . . . 1128--1131
Vaclav Dupac Review: M. T. Wasan,
\booktitleStochastic Approximation . . . 1131--1132
Anonymous Abstracts of Papers . . . . . . . . . . 1133--1158
Anonymous News and Notices . . . . . . . . . . . . 1159--1171
Anonymous Publications Received . . . . . . . . . 1172--1172
Harry Kesten The Limit Points of a Normalized Random
Walk . . . . . . . . . . . . . . . . . . 1173--1205
S. Ehrenfeld On a Scheduling Problem in Sequential
Analysis . . . . . . . . . . . . . . . . 1206--1216
J. L. Abbey and
H. T. David The Construction of Uniformly Minimum
Variance Unbiased Estimators for
Exponential Distributions . . . . . . . 1217--1222
Morris L. Eaton A Note on Symmetric Bernoulli Random
Variables . . . . . . . . . . . . . . . 1223--1226
R. J. Serfling Moment Inequalities for the Maximum
Cumulative Sum . . . . . . . . . . . . . 1227--1234
R. J. Serfling Convergence Properties of $ S_n $ Under
Moment Restrictions . . . . . . . . . . 1235--1248
Peter Elias Bounds and Asymptotes for the
Performance of Multivariate Quantizers 1249--1259
Simeon M. Berman Gaussian Processes with Stationary
Increments: Local Times and Sample
Function Properties . . . . . . . . . . 1260--1272
Hira L. Koul A Class of ADF Tests for Subhypothesis
in the Multiple Linear Regression . . . 1273--1281
J. M. C. Clark The Representation of Functionals of
Brownian Motion by Stochastic Integrals 1282--1295
G. K. Bhattacharyya and
Richard A. Johnson A Layer Rank Test for Ordered Bivariate
Alternatives . . . . . . . . . . . . . . 1296--1310
S. K. Perng Inadmissibility of Various ``Good''
Statistical Procedures Which are
Translation Invariant . . . . . . . . . 1311--1321
J. Sethuraman Stopping Time of a Rank-Order Sequential
Probability Ratio Test Based on Lehmann
Alternatives II . . . . . . . . . . . . 1322--1333
H. W. Block Error Estimation for a Limit Theorem for
Dependent Random Variables . . . . . . . 1334--1338
Peter Gänssler Note on a Result of Dudley on the Speed
of Mean Glivenko--Cantelli Convergence 1339--1343
M. P. Gessaman A Consistent Nonparametric Multivariate
Density Estimator Based on Statistically
Equivalent Blocks . . . . . . . . . . . 1344--1346
Eugene F. Schuster Note on the Uniform Convergence of
Density Estimates . . . . . . . . . . . 1347--1348
M. Stone Necessary and Sufficient Condition for
Convergence in Probability to Invariant
Posterior Distributions . . . . . . . . 1349--1353
Alan Ruegg A Characterization of Certain Infinitely
Divisible Laws . . . . . . . . . . . . . 1354--1356
Kumar Jogdeo A Simple Proof of an Inequality for
Multivariate Normal Probabilities of
Rectangles . . . . . . . . . . . . . . . 1357--1359
Naresh C. Jain and
G. Kallianpur A Note on Uniform Convergence of
Stochastic Processes . . . . . . . . . . 1360--1362
Adrienne W. Kemp General Formulae for the Central Moments
of Certain Serial Correlation
Coefficient Approximations . . . . . . . 1363--1368
W. A. Ericson On a Class of Uniformly Admissible
Estimators of a Finite Population Total 1369--1372
Nariaki Sugiura and
Hisao Nagao Acknowledgment of Priority to ``On
Bartlett's Test and Lehmann's Test for
Homogeneity of Variances'' . . . . . . . 1373--1373
Barry Belkin Correction Notes: Correction to ``A
Limit Theorem for Conditioned Recurrent
Random Walk Attracted to a Stable Law'' 1374--1374
James Dickey and
B. P. Lientz Correction Notes: Correction to ``The
Weighted Likelihood Ratio, Sharp
Hypotheses About Chances, the Order of a
Markov Chain'' . . . . . . . . . . . . . 1374--1374
James N. Arvesen Correction Notes: Correction to
``Jackknifing $U$-Statistics'' . . . . . 1375--1375
J. Sethuraman Correction Notes: Correction to ``On the
Probability of Large Deviations of
Families of Sample Means'' . . . . . . . 1376--1380
M. Frank Norman Review: M. Iosifescu, R. Theodorescu,
\booktitleRandom Processes and Learning 1381--1383
Anonymous Abstracts of Papers . . . . . . . . . . 1384--1393
Anonymous News and Notices . . . . . . . . . . . . 1394--1395
Anonymous Publications Received . . . . . . . . . 1396--1396
Herbert Robbins Statistical Methods Related to the Law
of the Iterated Logarithm . . . . . . . 1397--1409
Herbert Robbins and
David Siegmund Boundary Crossing Probabilities for the
Wiener Process and Sample Sums . . . . . 1410--1429
Michael Sharpe Centered Variations of Sample Paths of
Homogeneous Processes . . . . . . . . . 1430--1437
J. N. Srivastava and
Donald A. Anderson Some Basic Properties of
Multidimensional Partially Balanced
Designs . . . . . . . . . . . . . . . . 1438--1445
Calvin W. Sweat Sequential Search with Discounted
Income, the Discount a Function of the
Cell Searched . . . . . . . . . . . . . 1446--1455
Robert Harris An Application of Extreme Value Theory
to Reliability Theory . . . . . . . . . 1456--1465
E. G. Enns The Decision Process for Maximizing the
Probability of Obtaining the Random
Variable Nearest to an Arbitrary Real
Number . . . . . . . . . . . . . . . . . 1466--1471
Scott Bates Guthery An Inversion Algorithm for
One-Dimensional $F$-Expansions . . . . . 1472--1490
Ahmed Zogo Memon and
Masashi Okamoto The Classification Statistic $ W^\ast $
in Covariate Discriminant Analysis . . . 1491--1499
J. Pfanzagl On the Asymptotic Efficiency of Median
Unbiased Estimates . . . . . . . . . . . 1500--1509
Frank B. Knight An Infinitesimal Decomposition for a
Class of Markov Processes . . . . . . . 1510--1529
A. Hedayat and
W. T. Federer On the Equivalence of Mann's Group
Automorphism Method of Constructing an $
O(n, n - 1) $ Set and Raktoe's
Collineation Method of Constructing a
Balanced Set of $L$-Restrictional
Prime-Powered Lattice Designs . . . . . 1530--1540
Hung C. Li and
K. C. S. Pillai and
Tseng C. Chang Asymptotic Expansions for Distributions
of the Roots of Two Matrices from
Classical and Complex Gaussian
Populations . . . . . . . . . . . . . . 1541--1556
A. W. Davis On the Null Distribution of the Sum of
the Roots of a Multivariate Beta
Distribution . . . . . . . . . . . . . . 1557--1562
Archie D. Brock and
Richard G. Krutchkoff Distributions of $ Z^\gamma $ and $
Z^\ast $ for Complex $Z$ with Results
Applied to the Complex Normal
Distribution . . . . . . . . . . . . . . 1563--1567
V. M. Joshi Admissibility of Invariant Confidence
Procedures for Estimating a Location
Parameter . . . . . . . . . . . . . . . 1568--1581
Won Joon Park A Multi-Parameter Gaussian Process . . . 1582--1595
M. Mahamunulu Desu A Selection Problem . . . . . . . . . . 1596--1603
Manfred Schäl Markov Renewal Processes with Auxiliary
Paths . . . . . . . . . . . . . . . . . 1604--1623
Benton Jamison Reciprocal processes: The stationary
Gaussian case . . . . . . . . . . . . . 1624--1630
Donald Ornstein and
Louis Sucheston An Operator Theorem on $ L_1 $
Convergence to Zero with Applications to
Markov Kernels . . . . . . . . . . . . . 1631--1639
Ronald H. Randles Some Robust Selection Procedures . . . . 1640--1645
Olaf Krafft and
Detlef Plachky Bounds for the Power of Likelihood Ratio
Tests and Their Asymptotic Properties 1646--1654
Henry P. Wynn The Sequential Generation of $D$-Optimum
Experimental Designs . . . . . . . . . . 1655--1664
Michael Woodroofe On Choosing a Delta-Sequence . . . . . . 1665--1671
John B. Walsh Some Remarks on the Feller Property . . 1672--1683
Paul I. Nelson A Class of Orthogonal Series Related to
Martingales . . . . . . . . . . . . . . 1684--1694
M. Raghavachari On a Theorem of Bahadur on the Rate of
Convergence of Test Statistics . . . . . 1695--1699
George A. Anderson An Asymptotic Expansion for the
Noncentral Wishart Distribution . . . . 1700--1707
Morris L. Eaton and
Carl N. Morris The Application of Invariance to
Unbiased Estimation . . . . . . . . . . 1708--1716
Olavi Hellman On the Effect of a Search Upon the
Probability Distribution of a Target
Whose Motion is a Diffusion Process . . 1717--1724
Justus Seely Linear Spaces and Unbiased Estimation 1725--1734
Justus Seely Linear Spaces and Unbiased Estimation
--- Application to the Mixed Linear
Model . . . . . . . . . . . . . . . . . 1735--1748
E. J. Carney Multiplication of Polykays Using Ordered
Partitions . . . . . . . . . . . . . . . 1749--1752
Gottfried E. Noether A Central Limit Theorem with
Nonparametric Applications . . . . . . . 1753--1755
Edward Paulson A Note on a Sequential Procedure for
Comparing Two Koopman--Darmois
Populations . . . . . . . . . . . . . . 1756--1759
Else Sandved A Comment on the Compound Decision
Theory . . . . . . . . . . . . . . . . . 1760--1762
B. L. Raktoe Generalized Combining of Elements From
Finite Fields . . . . . . . . . . . . . 1763--1767
Hira Lal Koul Some Convergence Theorems for Ranks and
Weighted Empirical Cumulatives . . . . . 1768--1773
Richard M. Royall Finite population sampling---On labels
in estimation . . . . . . . . . . . . . 1774--1779
A. Hedayat Review: S. Vajda, Patterns and
Configurations in Finite Spaces. Number
22 of Griffins Statistical Monographs
and Courses; S. Vajda, \booktitleThe
Mathematics of Experimental Design.
Number 23 of Griffins Statistical
Monographs and Courses . . . . . . . . . 1780--1782
Anonymous Abstracts . . . . . . . . . . . . . . . 1783--1809
Anonymous News and Notices . . . . . . . . . . . . 1810--1814
Anonymous Publications Received . . . . . . . . . 1815--1815
H. Dym and
H. P. McKean Extrapolation and Interpolation of
Stationary Gaussian Processes . . . . . 1817--1844
Richard J. Fox Estimating the Empiric Distribution
Function of Certain Parameter Sequences 1845--1852
B. M. Brown and
G. K. Eagleson Behavior of Moments of Row Sums of
Elementary Systems . . . . . . . . . . . 1853--1860
A. K. Nigam Block Designs for Mixture Experiments 1861--1869
George Lindgren Some Properties of a Normal Process Near
a Local Maximum . . . . . . . . . . . . 1870--1883
Morris L. Eaton A Complete Class Theorem for
Multidimensional One-Sided Alternatives 1884--1888
Albert Kingman and
Franklin A. Graybill A Non-Linear Characterization of the
Normal Distribution . . . . . . . . . . 1889--1895
R. J. Beran Linear Rank Statistics Under
Alternatives Indexed by a Vector
Parameter . . . . . . . . . . . . . . . 1896--1905
J. Fabius and
W. R. Van Zwet Some Remarks on the Two-Armed Bandit . . 1906--1916
R. J. Owen The Optimum Design of a Two-Factor
Experiment Using Prior Information . . . 1917--1934
Mark Brown A Property of Poisson Processes and its
Application to Macroscopic Equilibrium
of Particle Systems . . . . . . . . . . 1935--1941
M. Haseeb Rizvi and
George G. Woodworth On Selection Procedures Based on Ranks:
Counterexamples Concerning Least
Favorable Configurations . . . . . . . . 1942--1951
Bengt Rosén On the Coupon Collector's Waiting Time 1952--1969
G. P. Patil and
M. T. Boswell A Characteristic Property of the
Multivariate Normal Density Function and
Some of its Applications . . . . . . . . 1970--1977
Thomas M. Liggett Convergence of Sums of Random Variables
Conditioned on a Future Change of Sign 1978--1982
Peter W. M. John The Folded Cubic Association Scheme . . 1983--1991
J. A. Hartigan Exact Confidence Intervals in Regression
Problems with Independent Symmetric
Errors . . . . . . . . . . . . . . . . . 1992--1998
Masao Tanaka Estimation and Testing Hypotheses for
One, Two, or Several Samples from
General Multivariate Distributions . . . 1999--2020
Arthur Cohen and
Harold B. Sackrowitz Estimation of the Last Mean of a
Monotone Sequence . . . . . . . . . . . 2021--2034
A. Hedayat and
E. Seiden $F$-Square and Orthogonal $F$-Squares
Design: A Generalization of Latin Square
and Orthogonal Latin Squares Design . . 2035--2044
Uwe Koehn Global Cross Sections and the Densities
of Maximal Invariants . . . . . . . . . 2045--2056
Jerome Sacks and
Donald Ylvisaker Designs for Regression Problems with
Correlated Errors III . . . . . . . . . 2057--2074
F. Eicker On the Probability that a Sample
Distribution Function Lies Below a Line
Segment . . . . . . . . . . . . . . . . 2075--2092
William M. Conner The Capacity and Ambiguity of a
Transducer . . . . . . . . . . . . . . . 2093--2104
Howard M. Taylor A Markov Stopping Problem for Which no
Entry Time is $ \varepsilon $-Optimal 2105--2112
Prem S. Puri and
Herman Rubin A Characterization Based on the Absolute
Difference of Two I.I.D. Random
Variables . . . . . . . . . . . . . . . 2113--2122
Gordon B. Crawford Harmonic Functions and Hitting
Distributions for Markov Processes . . . 2123--2125
J. Gopala Krishna Probabilistic Techniques Leading to a
Valiron-type Theorem in Several Complex
Variables . . . . . . . . . . . . . . . 2126--2129
Susan Horn and
Siegfried Schach An extension of the Hewitt--Savage
zero-one law . . . . . . . . . . . . . . 2130--2131
R. M. Korwar and
R. J. Serfling On Averaging Over Distinct Units in
Sampling with Replacement . . . . . . . 2132--2134
Ramon C. Littell and
J. Leroy Folks On the Relation Between Bahadur
Efficiency and Power . . . . . . . . . . 2135--2136
Pranab Kumar Sen A Note on Order Statistics for
Heterogeneous Distributions . . . . . . 2137--2139
Pranab Kumar Sen On Some Convergence Properties of
One-Sample Rank Order Statistics . . . . 2140--2143
Hira Lal Koul Asymptotic Normality of Random Rank
Statistics . . . . . . . . . . . . . . . 2144--2149
B. K. Shah Note on Moments of a Logistic Order
Statistics . . . . . . . . . . . . . . . 2150--2152
Richard L. Dykstra Establishing the Positive Definiteness
of the Sample Covariance Matrix . . . . 2153--2154
B. B. Bhattacharyya Reverse Submartingale and Some Functions
of Order Statistics . . . . . . . . . . 2155--2157
William F. Stout The Hartman--Wintner Law of the Iterated
Logarithm for Martingales . . . . . . . 2158--2160
C. C. Heyde and
B. M. Brown On the Departure from Normality of a
Certain Class of Martingales . . . . . . 2161--2165
B. J. McCabe and
L. A. Shepp On the supremum of $ S_n / n $ . . . . . 2166--2168
Edward J. Wegman Maximum Likelihood Estimation of a
Unimodal Density, II . . . . . . . . . . 2169--2174
Harry Cohn On the Tail $ \Sigma $-Algebra of the
Finite Inhomogeneous Markov Chains . . . 2175--2176
John DeHardt A Necessary Condition for
Glivenko--Cantelli Convergence in $ E_n
$ . . . . . . . . . . . . . . . . . . . 2177--2178
Michael Woodroofe On the First Time $ |S_n| \geq c
n^{\frac {1}{2}} $ . . . . . . . . . . . 2179--2183
B. L. Raktoe and
W. T. Federer A Theorem on Saturated Plans and Their
Complements . . . . . . . . . . . . . . 2184--2185
D. R. Jensen Correction Note: Correction to ``The
Joint Distribution of Traces of Wishart
Matrices and Some Applications'' . . . . 2186--2186
Anonymous Abstracts of Papers . . . . . . . . . . 2187--2190
Anonymous News and Notices . . . . . . . . . . . . 2191--2194
Anonymous Publications Received . . . . . . . . . 2195--2195
G. P. Steck Rectangle Probabilities for Uniform
Order statistics and the Probability
That the Empirical Distribution Function
Lies Between Two Distribution Functions 1--11
Kjell Doksum and
Rory Thompson Power Bounds and Asymptotic Minimax
Results for One-sample Rank Tests . . . 12--34
Wilhelmine Stefansky Rejecting Outliers by Maximum Normed
Residual . . . . . . . . . . . . . . . . 35--45
Norman R. Draper and
William J. Beggs Errors in the Factor Levels and
Experimental Design . . . . . . . . . . 46--58
B. M. Brown Martingale Central Limit Theorems . . . 59--66
Ji\vr\'ì And\vel Local Properties of the Autoregressive
Series . . . . . . . . . . . . . . . . . 67--74
James B. Robertson An Algorithm for Computing the
Non-linear Predictor . . . . . . . . . . 75--80
Ian B. MacNeill Limit Processes for Co-Spectral and
Quadrature Spectral Distribution
Functions . . . . . . . . . . . . . . . 81--96
C. T. Shih Construction of Markov Processes from
Hitting Distributions II . . . . . . . . 97--114
Dennis M. Rodriguez Processes Obtainable from Brownian
Motion by Means of a Random Time Change 115--129
Thomas Kailath and
Moshe Zakai Absolute Continuity and Radon--Nikodym
Derivatives for Certain Measures
Relative to Wiener Measure . . . . . . . 130--140
D. A. S. Fraser and
R. L. Prentice Randomized Models and the Dilution and
Bioassay Problems . . . . . . . . . . . 141--146
D. S. Moore A Chi-Square Statistic with Random Cell
Boundaries . . . . . . . . . . . . . . . 147--156
R. J. Beran On Distribution-Free Statistical
Inference with Upper and Lower
Probabilities . . . . . . . . . . . . . 157--168
Zbyn\vek \vSidák On Probabilities of Rectangles in
Multivariate Student Distributions:
Their Dependence on Correlations . . . . 169--175
Richard F. Serfozo Random Time Transformations of
Semi-Markov Processes . . . . . . . . . 176--188
Pranab Kumar Sen and
Malay Ghosh On Bounded Length Sequential Confidence
Intervals Based on One-Sample Rank Order
Statistics . . . . . . . . . . . . . . . 189--203
James M. Dickey The Weighted Likelihood Ratio, Linear
Hypotheses on Normal Location Parameters 204--223
R. Ahlswede Group Codes do not Achieve Shannon's
Channel Capacity for General Discrete
Channels . . . . . . . . . . . . . . . . 224--240
R. N. Bhattacharya Rates of Weak Convergence and Asymptotic
Expansions for Classical Central Limit
Theorems . . . . . . . . . . . . . . . . 241--259
William D. Sudderth On Measurable Gambling Problems . . . . 260--269
William E. Strawderman and
Arthur Cohen Admissibility of Estimators of the Mean
Vector of a Multivariate Normal
Distribution with Quadratic Loss . . . . 270--296
Sheldon M. Ross Infinitesimal Look-Ahead Stopping Rules 297--303
Richard W. Mensing and
H. T. David Absorption Probabilities for Certain
Two-Dimensional Random Walks . . . . . . 304--314
P. Gänssler and
J. Pfanzagl Convergence of Conditional Expectations 315--324
Konrad Behnen Asymptotic Optimality and ARE of Certain
Rank-Order Tests under Contiguity . . . 325--329
Ronald H. Randles and
Myles Hollander $ \Gamma $-Minimax Selection Procedures
in Treatments Versus Control Problems 330--341
J. M. Myhre and
Sam C. Saunders Approximate Confidence Limits for
Complex Systems with Exponential
Component Lives . . . . . . . . . . . . 342--348
Russell F. Kappenman A Note on the Multivariate $t$-Ratio
Distribution . . . . . . . . . . . . . . 349--351
R. B. Darst On Universal Measurability and Perfect
Probability . . . . . . . . . . . . . . 352--354
Arthur Cohen and
William E. Strawderman Unbiasedness of Tests for Homogeneity of
Variances . . . . . . . . . . . . . . . 355--360
N. Krishnaji Note on a Characterizing Property of the
Exponential Distribution . . . . . . . . 361--362
Martin Aigner Note on the Characterization of Certain
Association Schemes . . . . . . . . . . 363--367
R. K. Milne Simple Proofs of some Theorems on Point
Processes . . . . . . . . . . . . . . . 368--372
J. Pfanzagl A counterexample to a lemma of L. D.
Brown . . . . . . . . . . . . . . . . . 373--375
Douglas P. Kennedy A Functional Central Limit Theorem for
$k$-Dimensional Renewal Theory . . . . . 376--380
J. Feldman and
M. Smorodinsky Bernoulli Flows with Infinite Entropy 381--382
J. C. Ahuja Distribution of the Sum of Independent
Decapitated Negative Binomial Variables 383--384
William E. Strawderman Proper Bayes Minimax Estimators of the
Multivariate Normal Mean . . . . . . . . 385--388
Hans U. Gerber The Discounted Central Limit Theorem and
its Berry--Esseen Analogue . . . . . . . 389--392
Y. S. Chow On the $ L_p $-Convergence for $ n^{-1 /
p} S_n $, $ 0 < p < 2 $ . . . . . . . . . 393--394
C. C. Yalavigi A Series of Tournamental Designs . . . . 395--397
A. Ruiz-Moncayo A Note on First Passages for $ S_n /
n^{\frac {1}{2}} $ . . . . . . . . . . . 398--400
Y. S. Chow and
H. Teicher Almost Certain Summability of
Independent, Identically Distributed
Random Variables . . . . . . . . . . . . 401--404
Richard W. Madsen A note on some ergodic theorems of A.
Paz . . . . . . . . . . . . . . . . . . 405--408
David Gilat On the Nonexistence of a Three Series
Condition for Series of Nonindependent
Random Variables . . . . . . . . . . . . 409--409
Barthel W. Huff Superpositions and the Continuity of
Infinitely Divisible Distributions . . . 410--412
S. G. Mohanty A Short Proof of Steck's Result on
Two-Sample Smirnov Statistics . . . . . 413--414
R. Cuppens and
E. Lukacs Correction Note: Correction to ``On the
Domains of Definition of Analytic
Characteristic Functions'' . . . . . . . 415--415
Anonymous Abstracts . . . . . . . . . . . . . . . 416--421
Anonymous News and Notices . . . . . . . . . . . . 422--437
Anonymous Publications Received . . . . . . . . . 438--438
Charles W. Lamb On the Construction of Certain
Transition Functions . . . . . . . . . . 439--450
Siegfried Schach Weak Convergence Results for a Class of
Multivariate Markov Processes . . . . . 451--465
Hira Lal Koul Asymptotic Behavior of a Class of
Confidence Regions Based on Ranks in
Regression . . . . . . . . . . . . . . . 466--476
Eric V. Denardo Markov Renewal Programs with Small
Interest Rates . . . . . . . . . . . . . 477--496
Sture Holm On Nonparametric Asymptotically Minimax
Tests . . . . . . . . . . . . . . . . . 497--508
A. Hedayat and
W. T. Federer On Embedding and Enumeration of
Orthogonal Latin Squares . . . . . . . . 509--516
K. C. S. Pillai and
G. M. Jouris Some Distribution Problems in the
Multivariate Complex Gaussian Case . . . 517--525
Yoong-sin Lee Distribution of the Canonical
Correlations and Asymptotic Expansions
for Distributions of Certain
Independence Test Statistics . . . . . . 526--537
Jack Nadler and
Naomi B. Robbins Some Characteristics of Page's Two-sided
Procedure for Detecting a Change in a
Location Parameter . . . . . . . . . . . 538--551
Edward S. Boylan Equiconvergence of Martingales . . . . . 552--559
Minoru Siotani An Asymptotic Expansion of the Non-Null
Distribution of Hotelling's Generalized
$ T_0^2 $-Statistic . . . . . . . . . . 560--571
Peter C. Fishburn One-way Expected Utility with Finite
Consequence Spaces . . . . . . . . . . . 572--577
Morris H. DeGroot and
Paul I. Feder and
Prem K. Goel Matchmaking . . . . . . . . . . . . . . 578--593
S. Kullback Marginal Homogeneity of Multidimensional
Contingency Tables . . . . . . . . . . . 594--606
Helen Finkelstein The Law of the Iterated Logarithm for
Empirical Distributions . . . . . . . . 607--615
William S. Cleveland Projection with the wrong Inner Product
and its Application to Regression with
Correlated Errors and Linear Filtering
of Time Series . . . . . . . . . . . . . 616--624
Leonard E. Baum and
M. Katz and
H. H. Stratton Strong Laws for Ruled Sums . . . . . . . 625--629
David G. Hoel A Method for the Construction of
Sequential Selection Procedures . . . . 630--642
V. N. Murty Optimal Designs with a Tchebycheffian
Spline Regression Function . . . . . . . 643--649
Malay Ghosh and
Pranab Kumar Sen On a Class of Rank Order Tests for
Regression with Partially Informed
Stochastic Predictors . . . . . . . . . 650--661
V. M. Joshi Admissibility of the Usual Confidence
Sets for a Class of Bivariate
Populations . . . . . . . . . . . . . . 662--679
V. M. Joshi Hyperadmissibility of Estimators for
Finite Populations . . . . . . . . . . . 680--690
Justus Seely and
George Zyskind Linear Spaces and Minimum Variance
Unbiased Estimation . . . . . . . . . . 691--703
Herbert Weisberg The Distribution of Linear Combinations
of Order Statistics from the Uniform
Distribution . . . . . . . . . . . . . . 704--709
Justus Seely Quadratic Subspaces and Completeness . . 710--721
J. N. Srivastava and
D. V. Chopra On the Characteristic Roots of the
Information Matrix of $ 2^m $ Balanced
Factorial Designs of Resolution V, with
Applications . . . . . . . . . . . . . . 722--734
Tien-fang Hou Approachability in a Two-person Game . . 735--744
Joseph B. Kadane A Moment Problem for Order Statistics 745--751
Michael S. Waterman A Note on the Reparametrization of an
Exponential Family . . . . . . . . . . . 752--754
Ji\vr\'ì And\vel On the Multiple Autoregressive Series 755--759
R. James Tomkins An Iterated Logarithm Theorem for Some
Weighted Averages of Independent Random
Variables . . . . . . . . . . . . . . . 760--763
K. C. S. Pillai and
B. N. Nagarsenker On the Distribution of the Sphericity
Test Criterion in Classical and Complex
Normal Populations Having Unknown
Covariance Matrices . . . . . . . . . . 764--767
Nariaki Sugiura Note on Some Formulas for Weighted Sums
of Zonal Polynomials . . . . . . . . . . 768--772
Mark Brown Discrimination of Poisson Processes . . 773--776
B. M. Brown A Note on Convergence of Moments . . . . 777--779
R. N. Pillai Semi Stable Laws as Limit Distributions 780--783
J. David Mason Local Theorems in Strengthened Form for
Lattice Random Variables . . . . . . . . 784--788
A. Al-Hussaini Independent Sequences with the
Carefoot--Flett Property . . . . . . . . 789--793
J. O. Ledyard A Pseudo-Metric Space of Probability
Measures and the Existence of Measurable
Utility . . . . . . . . . . . . . . . . 794--798
Stephen Portnoy and
Charles Stein Inadmissibility of the Best Invariant
Test in Three or More Dimensions . . . . 799--801
Douglas Kelker Infinite Divisibility and Variance
Mixtures of the Normal Distribution . . 802--808
David A. Harville On the Distribution of Linear
Combinations of Non-central Chi-Squares 809--811
F. W. Steutel On the Zeros of Infinitely Divisible
Densities . . . . . . . . . . . . . . . 812--815
K. R. Shah Use of Truncated Estimator of Variance
Ratio in Recovery of Inter-Block
Information . . . . . . . . . . . . . . 816--819
R. V. Erickson Constant Coefficient Linear Differential
Equations Driven by White Noise . . . . 820--823
Mary R. Anderson A Characterization of the Multivariate
Normal Distribution . . . . . . . . . . 824--827
W. J. Studden Optimal Designs for Multivariate
Polynomial Extrapolation . . . . . . . . 828--832
Donald A. Pierce and
David A. Bogdanoff Note on Bayes-Fiducial Intervals for
Problems of Location and Scale . . . . . 833--836
M. M. Desu A Characterization of the Exponential
Distribution by Order Statistics . . . . 837--838
V. M. Joshi Admissibility of Arbitrary Estimates as
Unbiased Estimates of Their Expectations
in a Finite Population . . . . . . . . . 839--841
J. Robinson Correction Note: Correction to ``On
Relationship Algebras of Incomplete
Block Designs'' . . . . . . . . . . . . 842--842
Anonymous Abstracts of Papers . . . . . . . . . . 843--846
Anonymous News and Notices . . . . . . . . . . . . 847--854
Anonymous Publications Received . . . . . . . . . 854--854
L. D. Brown Admissible Estimators, Recurrent
Diffusions, and Insoluble Boundary Value
Problems . . . . . . . . . . . . . . . . 855--903
Michael L. Levitan A Generalized Doeblin Ratio Limit
Theorem . . . . . . . . . . . . . . . . 904--911
Stephen James Wolfe On the Unimodality of $L$ Functions . . 912--918
Prasadarao Kakumanu Continuously Discounted Markov Decision
Model with Countable State and Action
Space . . . . . . . . . . . . . . . . . 919--926
Simeon M. Berman Asymptotic Independence of the Numbers
of High and Low Level Crossings of
Stationary Gaussian Processes . . . . . 927--945
L. A. Shepp First Passage Time for a Particular
Gaussian Process . . . . . . . . . . . . 946--951
V. N. Murty Optimal Designs with a Polynomial Spline
Regression with a Single Multiple Knot
at the Center . . . . . . . . . . . . . 952--960
Henry R. Neave The Exact Error in Spectrum Estimates 961--975
Robert Kleyle Upper and Lower Posterior Probabilities
for Truncated Means . . . . . . . . . . 976--990
Thomas G. Kurtz Comparison of Semi-Markov and Markov
Processes . . . . . . . . . . . . . . . 991--1002
Gideon Schwarz A Sequential Student Test . . . . . . . 1003--1009
A. M. Mathai and
P. N. Rathie The Exact Distribution of Wilks'
Criterion . . . . . . . . . . . . . . . 1010--1019
Louis A. Jaeckel Robust Estimates of Location: Symmetry
and Asymmetric Contamination . . . . . . 1020--1034
Grace Wahba On the Regression Design Problem of
Sacks and Ylvisaker . . . . . . . . . . 1035--1053
Thomas Kailath The Structure of Radon--Nikodym
Derivatives with Respect to Wiener and
Related Measures . . . . . . . . . . . . 1054--1067
Joseph Horowitz A Note on the Arc-Sine Law and Markov
Random Sets . . . . . . . . . . . . . . 1068--1074
Martin E. Hellman and
Thomas M. Cover On Memory Saved by Randomization . . . . 1075--1078
D. L. Hanson and
F. T. Wright A Bound on Tail Probabilities for
Quadratic Forms in Independent Random
Variables . . . . . . . . . . . . . . . 1079--1083
J. C. Koop On Splitting a Systematic Sample for
Variance Estimation . . . . . . . . . . 1084--1087
W. D. Warde and
S. K. Katti Infinite Divisibility of Discrete
Distributions, II . . . . . . . . . . . 1088--1090
Ulrich Krengel On the Individual Ergodic Theorem for
Subsequences . . . . . . . . . . . . . . 1091--1095
Prakash C. Joshi Recurrence Relations for the Mixed
Moments of Order Statistics . . . . . . 1096--1098
J. P. Imhof Some Joint Laws in Fluctuation Theory 1099--1103
Pranab Kumar Sen Asymptotic Efficiency of a Class of
Aligned Rank Order Tests for
Multiresponse Experiments in some
Incomplete Block Designs . . . . . . . . 1104--1112
Alastair Scott Large-Sample Posterior Distributions for
Finite Populations . . . . . . . . . . . 1113--1117
E. Nemeth A New Family of BIBD's . . . . . . . . . 1118--1120
S. D. Durham A Problem Concerning Generalized
Age-Dependent Branching Processes with
Immigration . . . . . . . . . . . . . . 1121--1123
R. V. Erickson On the Existence of Absolute Moments for
the Extinction Time of a Galton--Watson
Process . . . . . . . . . . . . . . . . 1124--1128
Richard J. Griego and
David Heath and
Alberto Ruiz-Moncayo Almost Sure Convergence of Uniform
Transport Processes to Brownian Motion 1129--1131
Pranab Kumar Sen A Hajek--Rényi Type Inequality for
Stochastic Vectors with Applications to
Simultaneous Confidence Regions . . . . 1132--1134
Robert H. Berk Correction Note: Corrections to ``Strong
Consistency of Certain Sequential
Estimators'' . . . . . . . . . . . . . . 1135--1137
Richard I. Savage Review: H. A. David, \booktitleOrder
Statistics . . . . . . . . . . . . . . . 1138--1138
G. S. Watson Review: M. G. Kendall, A. Stuart,
\booktitleThe Advanced Theory of
Statistics . . . . . . . . . . . . . . . 1138--1140
Peter Brockwell Review: Chin Long Chiang,
\booktitleIntroduction to Stochastic
Processes in Biostatistics . . . . . . . 1140--1141
Anonymous Abstracts of Papers . . . . . . . . . . 1142--1153
Anonymous News and Notices . . . . . . . . . . . . 1154--1155
Anonymous Publications Received . . . . . . . . . 1156--1156
Lajos Takács On the Comparison of Two Empirical
Distribution Functions . . . . . . . . . 1157--1166
J. N. Srivastava and
D. A. Anderson Factorial Association Schemes with
Applications to the Construction of
Multidimensional Partially Balanced
Designs . . . . . . . . . . . . . . . . 1167--1181
Terrence Fine A Note on the Existence of Quantitative
Probability . . . . . . . . . . . . . . 1182--1186
Charles E. Land Confidence Intervals for Linear
Functions of the Normal Mean and
Variance . . . . . . . . . . . . . . . . 1187--1205
L. D. Brown Non-Local Asymptotic Optimality of
Appropriate Likelihood Ratio Tests . . . 1206--1240
J. Borwanker and
G. Kallianpur and
B. L. S. Prakasa Rao The Bernstein--von Mises Theorem for
Markov Processes . . . . . . . . . . . . 1241--1253
A. K. Gupta Noncentral Distribution of Wilks'
Statistic in Manova . . . . . . . . . . 1254--1261
Lloyd Fisher and
John W. Van Ness The Topology of Distinguishability . . . 1262--1272
W. J. Kennedy and
T. A. Bancroft Model Building for Prediction in
Regression Based Upon Repeated
Significance Tests . . . . . . . . . . . 1273--1284
Georg Neuhaus On Weak Convergence of Stochastic
Processes with Multidimensional Time
Parameter . . . . . . . . . . . . . . . 1285--1295
Burton Singer Some Asymptotic Results in a Model of
Population Growth II. Positive Recurrent
Chains . . . . . . . . . . . . . . . . . 1296--1315
K. V. Suryanarayana Partially Balanced Weighing Designs with
Two Association Classes . . . . . . . . 1316--1321
Robert G. Staudte, Jr. A Characterization of Invariant Loss
Functions . . . . . . . . . . . . . . . 1322--1327
Jana Jure\vcková Nonparametric Estimate of Regression
Coefficients . . . . . . . . . . . . . . 1328--1338
Charles Yarbrough Sequential Discrimination with
Likelihood Ratios . . . . . . . . . . . 1339--1347
W. S. Liggett, Jr. On the Asymptotic Optimality of Spectral
Analysis for Testing Hypotheses About
Time Series . . . . . . . . . . . . . . 1348--1358
Chandan K. Mustafi On a Class of Bivariate Distributions
Following a Certain Stochastic Structure 1359--1371
Donald L. Iglehart and
Ward Whitt The Equivalence of Functional Central
Limit Theorems for Counting Processes
and Associated Partial Sums . . . . . . 1372--1378
Stephen Portnoy Formal Bayes Estimation with Application
to a Random Effects Model . . . . . . . 1379--1402
M. S. Srivastava On Fixed-Width Confidence Bounds for
Regression Parameters . . . . . . . . . 1403--1411
T. W. F. Stroud On Obtaining Large-Sample Tests from
Asymptotically Normal Estimators . . . . 1412--1424
V. M. Joshi A Note on Admissible Sampling Designs
for a Finite Population . . . . . . . . 1425--1428
Gordon Simons Identifying Probability Limits . . . . . 1429--1433
A. H. Seheult and
C. P. Quesenberry On Unbiased Estimation of Density
Functions . . . . . . . . . . . . . . . 1434--1438
J. F. Lawless A Note on Certain Types of BIBD's
Balanced for Residual Effects . . . . . 1439--1441
Detlef Plachky On a theorem of G. L. Sievers . . . . . 1442--1443
James V. Zidek Inadmissibility of a Class of Estimators
of a Normal Quantile . . . . . . . . . . 1444--1447
S. Kageyama An Improved Inequality for Balanced
Incomplete Block Designs . . . . . . . . 1448--1449
Erik N. Torgersen A Counterexample on Translation
Invariant Estimators . . . . . . . . . . 1450--1451
Glen Meeden Finding Best Tests Approximately for
Testing Hypotheses About a Random
Parameter . . . . . . . . . . . . . . . 1452--1454
Ryoji Tamura On a $c$-sample test based on trimmed
samples . . . . . . . . . . . . . . . . 1455--1460
S. A. Patil and
S. H. Liao Acknowledgment of Priority to: ``The
Distribution of the Ratio of Means to
the Square Root of the Sum of Variances
of a Bivariate Normal Sample'' . . . . . 1461--1461
V. M. Joshi Correction Note: Correction to
``Admissibility of Invariant Confidence
Procedures for a Location Parameter'' 1462--1462
P. Masani Review: Yu. A. Rozanov,
\booktitleStationary Random Processes 1463--1467
H. O. Hartley Review: William J. Hemmerle,
\booktitleStatistical Computations on a
Digital Computer . . . . . . . . . . . . 1468--1468
Anonymous Abstracts of Papers . . . . . . . . . . 1469--1492
Anonymous News and Notices . . . . . . . . . . . . 1493--1496
Anonymous Publications Received . . . . . . . . . 1497--1498
Krishna B. Athreya and
Samuel Karlin On Branching Processes with Random
Environments: I: Extinction
Probabilities . . . . . . . . . . . . . 1499--1520
M. V. Johns, Jr. and
J. Van Ryzin Convergence Rates for Empirical Bayes
Two-Action Problems I. Discrete Case . . 1521--1539
Louis A. Jaeckel Some Flexible Estimates of Location . . 1540--1552
Martin Fox Admissibility of Certain Location
Invariant Multiple Decision Procedures 1553--1561
P. K. Pathak and
Neil W. Rickert Some Results on Invariant Sets for
Translation Parameter Family of
Probability Measures --- I . . . . . . . 1562--1568
R. L. Obenchain Multivariate Procedures Invariant Under
Linear Transformations . . . . . . . . . 1569--1578; correction, ibid. 43\ (1972), 1742--1743
Bruce McK. Johnson On the Admissible Estimators for Certain
Fixed Sample Binomial Problems . . . . . 1579--1587
George A. Milliken New Criteria for Estimability for Linear
Models . . . . . . . . . . . . . . . . . 1588--1594
C. S. Yu Pitman Efficiencies of
Kolmogorov--Smirnov Tests . . . . . . . 1595--1605
J. E. Adams and
H. L. Gray and
T. A. Watkins An Asymptotic Characterization of Bias
Reduction By Jackknifing . . . . . . . . 1606--1612
W. J. Studden Elfving's Theorem and Optimal Designs
for Quadratic Loss . . . . . . . . . . . 1613--1621
Christopher A. Sims Distributed Lag Estimation When the
Parameter Space is Explicitly
Infinite-Dimensional . . . . . . . . . . 1622--1636
Roy E. Welsch A Weak Convergence Theorem for Order
Statistics From Strong-Mixing Processes 1637--1646
David Gilat Some Conditions Under Which Two Random
Variables are Equal Almost Surely and a
Simple Proof of a Theorem of Chung and
Fuchs . . . . . . . . . . . . . . . . . 1647--1655
P. J. Bickel and
M. J. Wichura Convergence Criteria for Multiparameter
Stochastic Processes and Some
Applications . . . . . . . . . . . . . . 1656--1670
Lars Holst Limit Theorems for Some Occupancy and
Sequential Occupancy Problems . . . . . 1671--1680
Alan F. Ruegg A Necessary Condition on the Infinite
Divisibility of Probability
Distributions . . . . . . . . . . . . . 1681--1685
Y. S. Yang Invariant Measures on Some Markov
Processes . . . . . . . . . . . . . . . 1686--1696
William D. Sudderth A Gambling Theorem and Optimal Stopping
Theory . . . . . . . . . . . . . . . . . 1697--1705
Robert J. McEliece and
Edward C. Posner Hide and Seek, Data Storage, and Entropy 1706--1716
Steven A. Lippman Maximal Average-Reward Policies for
Semi-Markov Decision Processes With
Arbitrary State and Action Space . . . . 1717--1726
A. G. Pakes The Serial Correlation Coefficients of
Waiting Times in the Stationary GI/M/1
Queue . . . . . . . . . . . . . . . . . 1727--1734
Gordon Simons and
N. L. Johnson On the Convergence of Binomial to
Poisson Distributions . . . . . . . . . 1735--1736
Pedro J. Fernandez A Weak Convergence Theorem for Random
Sums in a Normed Space . . . . . . . . . 1737--1741
George Kalish and
Piotr W. Mikulski The Asymptotic Behavior of the Smirnov
Test Compared to Standard ``Optimal
Procedures'' . . . . . . . . . . . . . . 1742--1747
Harold D. Shane On an Inequality for Order Statistics 1748--1751
C. G. Troskie The Distributions of Some Test Criteria
in Multivariate Analysis . . . . . . . . 1752--1757
B. L. Raktoe and
W. T. Federer On the Number of Generators of Saturated
Main Effect Fractional Replicates . . . 1758--1760
James W. Daniel Asymptotic Behavior of High Order Means 1761--1762
David Root A Counterexample in Renewal Theory . . . 1763--1766
Sheldon M. Ross On the Nonexistence of $ \varepsilon
$-Optimal Randomized Stationary Policies
in Average Cost Markov Decision Models 1767--1768
M. J. Wichura A Note on the Weak Convergence of
Stochastic Processes . . . . . . . . . . 1769--1772
James H. Foster A Limit Theorem for a Branching Process
with State-Dependent Immigration . . . . 1773--1776
Mark Brown Correction Notes: Correction to ``A
Property of Poisson Processes and Its
Application to Macroscopic Equilibrium
of Particle Systems'' . . . . . . . . . 1777--1777
Michael D. Perlman Correction Notes: Correction to
``One-Sided Testing Problems in
Multivariate Analysis'' . . . . . . . . 1777--1777
J. M. C. Clark Correction Notes: Correction to ``The
Representation of Functionals of
Brownian Motion by Stochastic
Integrals'' . . . . . . . . . . . . . . 1778--1778
Stephen E. Fienberg Correction Notes: Correction to ``An
Iterative Procedure for Estimation in
Contingency Tables'' . . . . . . . . . . 1778--1778
K. Krickeberg Review: C. A. Hayes, C. Y. Pauc,
\booktitleDerivation and Martingales . . 1779--1779
Albert W. Marshall Review: Samuel Karlin, \booktitleTotal
Positivity . . . . . . . . . . . . . . . 1779--1781
Anonymous Abstracts of Papers . . . . . . . . . . 1782--1799
Anonymous News and Notices . . . . . . . . . . . . 1800--1813
Anonymous Publications Received . . . . . . . . . 1814--1814
Murray Rosenblatt Curve Estimates . . . . . . . . . . . . 1815--1842
Krishna B. Athreya and
Samuel Karlin Branching Processes with Random
Environments, II: Limit Theorems . . . . 1843--1858
R. A. Wijsman Exponentially Bounded Stopping Time of
Sequential Probability Ratio Tests for
Composite Hypotheses . . . . . . . . . . 1859--1869
Grace Wahba A Polynomial Algorithm for Density
Estimation . . . . . . . . . . . . . . . 1870--1886
Frank R. Hampel A General Qualitative Definition of
Robustness . . . . . . . . . . . . . . . 1887--1896
G. Lorden Procedures for Reacting to a Change in
Distribution . . . . . . . . . . . . . . 1897--1908
Edward J. Wegman A Note on the Estimation of the Mode . . 1909--1915
Arlo D. Hendrickson and
Robert J. Buehler Proper Scores for Probability
Forecasters . . . . . . . . . . . . . . 1916--1921
George Marsaglia Random variables with independent binary
digits . . . . . . . . . . . . . . . . . 1922--1929
Matthew J. Sobel Noncooperative Stochastic Games . . . . 1930--1935
M. E. Thompson and
A. K. Basu and
W. L. Owen On the Existence of the Optimal Stopping
Rule in the $ S_n / n $ Problem When the
Second Moment is Infinite . . . . . . . 1936--1942
R. J. Beran A Note on Distribution-Free Statistical
Inference with Upper and Lower
Probabilities . . . . . . . . . . . . . 1943--1948
J. Krauth A Locally Most Powerful Tied Rank Test
in a Wilcoxon Situation . . . . . . . . 1949--1956
J. K. Ghosh A New Proof of the Bahadur
Representation of Quantiles and an
Application . . . . . . . . . . . . . . 1957--1961
Edward D. Rothman Tests of Coordinate Independence for a
Bivariate Sample on a Torus . . . . . . 1962--1969
Malay Ghosh On the Wald-Optimality of Rank-Order
Tests for Paired Comparisons . . . . . . 1970--1976
Bruce Hoadley Asymptotic Properties of Maximum
Likelihood Estimators for the
Independent Not Identically Distributed
Case . . . . . . . . . . . . . . . . . . 1977--1991
Luis B. Boza Asymptotically Optimal Tests for Finite
Markov Chains . . . . . . . . . . . . . 1992--2007
P. K. Bhattacharya Transformations of Gaussian Processes to
the Brownian Motion . . . . . . . . . . 2008--2017
Silviu Guia\csu On the Asymptotic Distribution of the
Sequences of Random Variables with
Random Indices . . . . . . . . . . . . . 2018--2028
Clifford Qualls and
Hisao Watanabe An Asymptotic $0$--$1$ Behavior of
Gaussian Processes . . . . . . . . . . . 2029--2035
Stephen James Wolfe On Moments of Infinitely Divisible
Distribution Functions . . . . . . . . . 2036--2043
Charles W. Lamb A Note on Harmonic Functions and
Martingales . . . . . . . . . . . . . . 2044--2049
J. Dehardt Generalizations of the
Glivenko--Cantelli theorem . . . . . . . 2050--2055
R. K. Getoor Regularity of excessive functions. II 2056--2063
Stephen James Wolfe On the Continuity Properties of $L$
Functions . . . . . . . . . . . . . . . 2064--2073
Peter Jagers Diffusion Approximations of Branching
Processes . . . . . . . . . . . . . . . 2074--2078
Edward C. Posner and
Eugene R. Rodemich Epsilon Entropy and Data Compression . . 2079--2125
Stephen James Wolfe Inequalities for Modes of $L$ Functions 2126--2130
Pranab Kumar Sen A Note on Weak Convergence of Empirical
Processes for Sequences of $ \phi
$-Mixing Random Variables . . . . . . . 2131--2133
H. W. Block Accuracy of Convergence of Sums of
Dependent Random Variables with
Variances Not Necessarily Finite . . . . 2134--2138
Dean Isaacson Continuous Martingales with
Discontinuous Marginal Distributions . . 2139--2142
William D. Sudderth A ``Fatou Equation'' for Randomly
Stopped Variables . . . . . . . . . . . 2143--2146
L. A. Bruckner Moving Averages of Homogeneous Random
Fields . . . . . . . . . . . . . . . . . 2147--2149
Malcolm Goldman On the First Passage of the Integrated
Wiener Process . . . . . . . . . . . . . 2150--2155
Henry Teicher Completion of a Dominated Ergodic
Theorem . . . . . . . . . . . . . . . . 2156--2158
William E. Pruitt Review: Martin Eisen,
\booktitleIntroduction to Mathematical
Probability Theory . . . . . . . . . . . 2159--2161
Lajos Takacs Review: J. W. Cohen, \booktitleThe
Single Server Queue . . . . . . . . . . 2162--2164
D. J. de Waal Correction Note: Correction to
``Distributions Connected with a
Multivariate Beta Statistic'' . . . . . 2165--2166
Anonymous Abstracts of Papers . . . . . . . . . . 2167--2202
Anonymous News and Notices . . . . . . . . . . . . 2203--2211
Anonymous Publications Received . . . . . . . . . 2212--2213
H. L. Gray and
T. A. Watkins and
J. E. Adams On the Jackknife Statistic, Its
Extensions, and Its Relation to $
e_n$-Transformations . . . . . . . . . . 1--30
R. G. Miller, Jr. and
Pranab Kumar Sen Weak Convergence of $U$-Statistics and
von Mises' Differentiable Statistical
Functions . . . . . . . . . . . . . . . 31--41
Charles H. Kraft and
Constance van Eeden Linearized Rank Estimates and
Signed-Rank Estimates for the General
Linear Hypothesis . . . . . . . . . . . 42--57
Marc Noé The Calculation of Distributions of
Two-Sided Kolmogorov--Smirnov Type
Statistics . . . . . . . . . . . . . . . 58--64
Melvin N. Woinsky A Composite Nonparametric Test for a
Scale Slippage Alternative . . . . . . . 65--73
D. Landers Existence and Consistency of Modified
Minimum Contrast Estimates . . . . . . . 74--83
Eugene F. Schuster Joint Asymptotic Distribution of the
Estimated Regression Function at a
Finite Number of Distinct Points . . . . 84--88
R. R. Read The Asymptotic Inadmissibility of the
Sample Distribution Function . . . . . . 89--95
Glen Meeden Some Admissible Empirical Bayes
Procedures . . . . . . . . . . . . . . . 96--101
James Hannan and
J. S. Huang Equivariant Procedures in the Compound
Decision Problem with Finite State
Component Problem . . . . . . . . . . . 102--112
Michael Woodroofe Maximum Likelihood Estimation of a
Translation Parameter of a Truncated
Distribution . . . . . . . . . . . . . . 113--122
M. W. J. Layard Large Sample Tests for the Equality of
Two Covariance Matrices . . . . . . . . 123--141
Lalitha Sanathanan Estimating the Size of a Multinomial
Population . . . . . . . . . . . . . . . 142--152
Melvin J. Hinich and
Paul Shaman Parameter Estimation for an
$R$-Dimensional Plane Wave Observed with
Additive Independent Gaussian Errors . . 153--169
R. H. Farrell On the Best Obtainable Asymptotic Rates
of Convergence in Estimation of a
Density Function at a Point . . . . . . 170--180
Timothy J. Killeen and
Thomas P. Hettmansperger and
Gerald L. Sievers An Elementary Theorem on the Probability
of Large Deviations . . . . . . . . . . 181--192
Robert H. Berk Consistency and Asymptotic Normality of
MLE's for Exponential Models . . . . . . 193--204
F. S. Gordon and
A. M. Mathai Characterizations of the Multivariate
Normal Distribution Using Regression
Properties . . . . . . . . . . . . . . . 205--229
R. J. Tomkins Some Probability Inequalities Related to
the Law of Large Numbers . . . . . . . . 230--235
Aidan Sudbury and
Peter Clifford The Division of a Sequence of Random
Variables to Form Two Approximately
Equal Sums . . . . . . . . . . . . . . . 236--241
J. Keilson and
F. W. Steutel Families of Infinitely Divisible
Distributions Closed Under Mixing and
Convolution . . . . . . . . . . . . . . 242--250
J. Mineka Local Limit Theorems and Recurrence
Conditions for Sums of Independent
Integer-Valued Random Variables . . . . 251--259
A. P. Dempster A Class of Random Convex Polytopes . . . 260--272
Stanley Sawyer Rates of Convergence for Some
Functionals in Probability . . . . . . . 273--284
Christopher Preston Continuity Properties of Some Gaussian
Processes . . . . . . . . . . . . . . . 285--292
N. A. Weiss The Occupation Time of a Set by
Countably Many Recurrent Random Walks 293--302
Frank Spitzer A Variational Characterization of Finite
Markov Chains . . . . . . . . . . . . . 303--307
James Hannan and
J. S. Huang A Stability of Symmetrization of Product
Measures with Few Distinct Factors . . . 308--319
E. O. Elliott A Generalization of Separable Stochastic
Processes . . . . . . . . . . . . . . . 320--325
James V. Bondar Structural Distributions Without Exact
Transitivity . . . . . . . . . . . . . . 326--339
Serge L. Wind Stein--James Estimators of a
Multivariate Location Parameter . . . . 340--343
D. J. de Waal On the Expected Values of the Elementary
Symmetric Functions of a Noncentral
Wishart Matrix . . . . . . . . . . . . . 344--347
J. S. Huang A Note on Robbins' Compound Decision
Procedure . . . . . . . . . . . . . . . 348--350
Thomas Höglund Asymptotic Normality of Sums of Minima
of Random Variables . . . . . . . . . . 351--353
Isaac Meilijson Limiting Properties of the Mean Residual
Lifetime Function . . . . . . . . . . . 354--357
J. L. Mijnheer A Law of the Iterated Logarithm for the
Asymmetric Stable Law with
Characteristic Exponent One . . . . . . 358--362
Stephen James Wolfe A Note on the Complete Convergence of
Stable Distribution Functions . . . . . 363--364
George O'Brien A Note on Comparisons of Markov
Processes . . . . . . . . . . . . . . . 365--368
K. P. S. Bhaskara Rao and
M. Bhaskara Rao A Remark on Nonatomic Measures . . . . . 369--370
K. R. Aggarwal A Note on Construction of Triangular
P.B.I.B. Design with Parameters $ v =
21, b = 35, r = 10, k = 6, \lambda_1 = 2
$ and $ \lambda_2 = 3 $ . . . . . . . . 371--371
Bengt Rosen Asymptotic Theory for Successive
Sampling with Varying Probabilities
Without Replacement, I . . . . . . . . . 373--397
Emil Spjòtvoll On the Optimality of Some Multiple
Comparison Procedures . . . . . . . . . 398--411
Galen R. Shorack Functions of Order Statistics . . . . . 412--427
D. L. Burdick Distribution Free Tests for Symmetry
Based on the Number of Positive Sums . . 428--438
Roy E. Welsch Limit Laws for Extreme Order Statistics
From Strong-Mixing Processes . . . . . . 439--446
T. W. F. Stroud Fixed Alternatives and Wald's
Formulation of the Noncentral Asymptotic
Behavior of the Likelihood Ratio
Statistic . . . . . . . . . . . . . . . 447--454
Charles H. Kraft and
Ingram Olkin and
Constance van Eeden Estimation and Testing for Differences
in Magnitude or Displacement in the Mean
Vectors of Two Multivariate Normal
Populations . . . . . . . . . . . . . . 455--467
J. S. Rao Bahadur Efficiencies of Some Tests for
Uniformity on the Circle . . . . . . . . 468--479
J. Robinson The Randomization Model for Incomplete
Block Designs . . . . . . . . . . . . . 480--489
Haruki Morimoto Statistical Structure of the Problem of
Sampling from Finite Populations . . . . 490--497
William D. Sudderth On the Dubins and Savage
Characterization of Optimal Strategies 498--507
C. L. Mallows A Note on Asymptotic Joint Normality . . 508--515
János Galambos On the Distribution of the Maximum of
Random Variables . . . . . . . . . . . . 516--521
M. B. Marcus Upper Bounds for the Asymptotic Maxima
of Continuous Gaussian Processes . . . . 522--533
David R. Brillinger On the Number of Solutions of Systems of
Random Equations . . . . . . . . . . . . 534--540
Roman A. Mureika The Maximization of Entropy of Discrete
Denumerably-Valued Random Variables with
Known Mean . . . . . . . . . . . . . . . 541--552
J. Pfanzagl Transformation Groups and Sufficient
Statistics . . . . . . . . . . . . . . . 553--568
Michael Lin Strong Ratio Limit Theorems for Markov
Processes . . . . . . . . . . . . . . . 569--579
Clifford Qualls and
Hisao Watanabe Asymptotic Properties of Gaussian
Processes . . . . . . . . . . . . . . . 580--596
P. W. Millar Some Remarks on Asymmetric Processes . . 597--601
Richard Drogin An Invariance Principle for Martingales 602--620
Richard Isaac Limit Theorems for Markov Transition
Functions . . . . . . . . . . . . . . . 621--626
Donald L. Iglehart Extreme Values in the GI/G/1 Queue . . . 627--635
J. Michael Harrison Discrete Dynamic Programming with
Unbounded Rewards . . . . . . . . . . . 636--644
George Marsaglia Choosing a point from the surface of a
sphere . . . . . . . . . . . . . . . . . 645--646
Robert H. Berk A Note on Sufficiency and Invariance . . 647--650
J. D. Esary and
F. Proschan Relationships Among Some Concepts of
Bivariate Dependence . . . . . . . . . . 651--655
B. D. Causey Sensitivity of Raked Contingency Table
Totals to Changes in Problem Conditions 656--658
Lynn Roy LaMotte Notes on the Covariance Matrix of a
Random, Nested Anova Model . . . . . . . 659--662
Václav Fabian Note on a ``Kolmogorov-Type'' Inequality 663--663
Richard M. Stanley Boundary Crossing Probabilities for the
Kolmogorov--Smirnov Statistics . . . . . 664--668
Bert Fristedt Expansions for the Density of the
Absolute Value of a Strictly Stable
Vector . . . . . . . . . . . . . . . . . 669--672
Moshe Pollak A Note on Infinitely Divisible Random
Vectors . . . . . . . . . . . . . . . . 673--675
Jozef L. Teugels A Note on Poisson-Subordination . . . . 676--680
D. H. Root Domains of Attraction of First Passage
Times . . . . . . . . . . . . . . . . . 681--682
Bennett Eisenberg A Note on Metric Transitivity for
Stationary Gaussian Processes on Groups 683--687
Dean Isaacson Uniform Integrability of Square
Integrable Martingales . . . . . . . . . 688--689
W. J. Hendricks Hausdorff Dimension in a Process with
Stable Components --- An Interesting
Counterexample . . . . . . . . . . . . . 690--694
T. W. F. Stroud Correction Note: Correction to ``On
Obtaining Large-Sample Tests from
Asymptotically Normal Estimators'' . . . 695--695
J. David Mason Addendum: Addendum to ``Local Theorems
in Strengthened Form for Lattice Random
Variables'' . . . . . . . . . . . . . . 696--696
Shanti S. Gupta Review: R. E. Bechhofer, J. Kiefer, M.
Sobel, \booktitleSequential
Identification and Ranking Procedures
(with Special Reference to
Koopman--Darmois Populations) . . . . . 697--700
Harry Kesten The 1971 Rietz Lecture: Sums of
Independent Random Variables --- Without
Moment Conditions . . . . . . . . . . . 701--732
Howard M. Taylor Bounds for Stopped Partial Sums . . . . 733--747
Bengt Rosen Asymptotic Theory for Successive
Sampling with Varying Probabilities
Without Replacement, II . . . . . . . . 748--776
D. A. S. Fraser Bayes, Likelihood, or Structural . . . . 777--790
Constance van Eeden An Analogue, for Signed Rank Statistics,
of Jureçková's Asymptotic Linearity
Theorem for Rank Statistics . . . . . . 791--802
George P. McCabe, Jr. Sequential Estimation of a Poisson
Integer Mean . . . . . . . . . . . . . . 803--813
Shanti S. Gupta and
S. Panchapakesan On a Class of Subset Selection
Procedures . . . . . . . . . . . . . . . 814--822
Richard A. Johnson and
K. G. Mehrotra Locally Most Powerful Rank Tests for the
Two-sample Problem with Censored Data 823--831
Hira Lal Koul and
Robert G. Staudte, Jr. Weak Convergence of Weighted Empirical
Cumulatives Based on Ranks . . . . . . . 832--841
Hira Lal Koul Some Asymptotic Results on Random Rank
Statistics . . . . . . . . . . . . . . . 842--859
Meyer Dwass Unbiased Coin Tossing with Discrete
Random Variables . . . . . . . . . . . . 860--864
Peter Elias The efficient construction of an
unbiased random sequence . . . . . . . . 865--870
Donald A. Berry A Bernoulli Two-armed Bandit . . . . . . 871--897
D. A. S. Fraser The Determination of Likelihood and the
Transformed Regression Model . . . . . . 898--916
Peter C. Fishburn Subjective Expected Utility with Mixture
Sets and Boolean Algebras . . . . . . . 917--927
Pedro E. Ferreira On Subjective Probability and Expected
Utilities . . . . . . . . . . . . . . . 928--933
M. V. Johns, Jr. and
J. Van Ryzin Convergence Rates for Empirical Bayes
Two-Action Problems II. Continuous Case 934--947
R. D. Martin and
S. C. Schwartz On Mixture, Quasi-mixture and Nearly
Normal Random Processes . . . . . . . . 948--967
W. J. Cocke Central Limit Theorems for Sums of
Dependent Vector Variables . . . . . . . 968--976
Donald Geman On the Variance of the Number of Zeros
of a Stationary Gaussian Process . . . . 977--982
Won Joon Park A Consistent Estimation of Kernel
Functions in the Multiple Wiener
Integrals . . . . . . . . . . . . . . . 983--987
Patrick J. Eicker and
M. M. Siddiqui and
Paul W. Mielke, Jr. A Matrix Occupancy Problem . . . . . . . 988--996
R. V. Erickson Stationary Measures for a Class of
Storage Models Driven by a Markov Chain 997--1007
Julius R. Blum and
Pramod K. Pathak A Note on the Zero--One Law . . . . . . 1008--1009
Jonathan Shuster A Generalization of the Weak Version of
the Glivenko--Cantelli Theorem . . . . . 1010--1011
Howard H. Stratton Moments of Oscillations and Ruled Sums 1012--1016
Harold Sackrowitz A Note on Approachability in a
Two-person Game . . . . . . . . . . . . 1017--1019
Zoran R. Pop-Stojanovi\'c Riesz Decomposition for Weak
Banach-Valued Quasi-Martingales . . . . 1020--1026
R. L. Adler and
P. Shields and
M. Smorodinsky Irreducible Markov Shifts . . . . . . . 1027--1029
Bruce Lind and
George Roussas A Remark on Quadratic Mean
Differentiability . . . . . . . . . . . 1030--1034
Churchill Eisenhart and
Joan R. Rosenblatt W. J. Youden, 1900--1971 . . . . . . . . 1035--1040
Peter J. Huber The 1972 Wald lecture. Robust
statistics: A review . . . . . . . . . . 1041--1067
Jerome Sacks and
Donald Ylvisaker A Note on Huber's Robust Estimation of a
Location Parameter . . . . . . . . . . . 1068--1075
Emil Spjòtvoll Multiple Comparison of Regression
Functions . . . . . . . . . . . . . . . 1076--1088
Václav Dupa\vc and
Franti\vsek Král Robbins--Monro Procedure with Both
Variables Subject to Experimental Error 1089--1095
Martin A. Hamilton The Stochastic Approximation Approach to
a Discrimination Problem . . . . . . . . 1096--1109
M. E. Thompson and
W. L. Owen The Structure of the Optimal Stopping
Rule in the $ S_n / n $ Problem . . . . 1110--1121
F. H. Ruymgaart and
G. R. Shorack and
W. R. van Zwet Asymptotic Normality of Nonparametric
Tests for Independence . . . . . . . . . 1122--1135
Myles Hollander and
Frank Proschan Testing Whether New is Better than Used 1136--1146
Norman Starr and
Michael Woodroofe Further Remarks on Sequential
Estimation: The Exponential Case . . . . 1147--1154
K. L. Mehra On Bahadur Efficiency of the
Joint-Ranking Procedure . . . . . . . . 1155--1163
Allan Oaten Approximation to Bayes Risk in Compound
Decision Problems . . . . . . . . . . . 1164--1184
Laurens de Haan and
Arie Hordijk The Rate of Growth of Sample Maxima . . 1185--1196
Ji\vr\'ì And\vel Symmetric and Reversed Multiple
Stationary Autoregressive Series . . . . 1197--1203
Walter Rosenkrantz and
Neville E. O'Reilly Application of the Skorokhod
Representation Theorem to Rates of
Convergence for Linear Combinations of
Order Statistics . . . . . . . . . . . . 1204--1212
Itrel Monroe On the $ \gamma $-Variation of Processes
with Stationary Independent Increments 1213--1220
Stephen A. Book Large Deviation Probabilities for
Weighted Sums . . . . . . . . . . . . . 1221--1234
Grenith J. Zimmerman Some Sample Function Properties of the
Two-parameter Gaussian Process . . . . . 1235--1246
Simeon M. Berman Maximum and High Level Excursion of a
Gaussian Process with Stationary
Increments . . . . . . . . . . . . . . . 1247--1266
Robert Lee Taylor Weak Laws of Large Numbers in Normed
Linear Spaces . . . . . . . . . . . . . 1267--1274
Douglas R. Miller Existence of Limits in Regenerative
Processes . . . . . . . . . . . . . . . 1275--1282
Harry Cohn Limit Theorems for Sums of Random
Variables Defined on Finite
Inhomogeneous Markov Chains . . . . . . 1283--1292
Itrel Monroe On Embedding Right Continuous
Martingales in Brownian Motion . . . . . 1293--1311
Nariaki Sugiura Locally Best Invariant Test for
Sphericity and the Limiting
Distributions . . . . . . . . . . . . . 1312--1316
R. L. Obenchain Regression Optimality of Principal
Components . . . . . . . . . . . . . . . 1317--1319
J. L. Denny Sufficient Statistics and Discrete
Exponential Families . . . . . . . . . . 1320--1322
V. M. Joshi A Note on Hyperadmissibility of
Estimators for Finite Populations . . . 1323--1328
Jan Lanke Sampling Distinguishable Elements with
Replacement . . . . . . . . . . . . . . 1329--1332
Donald A. Anderson Designs with Partial Factorial Balance 1333--1341
A. C. Kulshreshtha and
A. Dey and
G. M. Saha Balanced Designs with Unequal
Replications and Unequal Block Sizes . . 1342--1345
U. B. Paik and
W. T. Federer On a Randomized Procedure for Saturated
Fractional Replicates in a $
2^n$-Factorial . . . . . . . . . . . . . 1346--1351
A. A. Balkema and
L. De Haan On R. von Mises' Condition for the
Domain of Attraction of $ \exp ( -
e^{-x}) $ . . . . . . . . . . . . . . . 1352--1354
Pranab Kumar Sen On Weak Convergence of Extremal
Processes for Random Sample Sizes . . . 1355--1362
D. A. Darling and
T. Liggett and
H. M. Taylor Optimal Stopping for Partial Sums . . . 1363--1368
J. Neveu Note on the Tightness of the Metric on
the Set of Complete Sub $ \sigma
$-Algebras of a Probability Space . . . 1369--1371
D. Landers and
L. Rogge Short Proofs of Two Convergence Theorems
for Conditional Expectations . . . . . . 1372--1373
David Gilat Convergence in Distribution, Convergence
in Probability and Almost Sure
Convergence of Discrete Martingales . . 1374--1379
James Dickey and
B. P. Lientz Correction Notes: Correction to ``The
Weighted Likelihood Ratio, Sharp
Hypotheses About Chances, the Order of a
Markov Chain'' . . . . . . . . . . . . . 1380--1380
K. P. S. Bhaskara Rao and
M. Bhaskara Rao Correction Notes: Correction to ``A
Remark on Nonatomic Measures'' . . . . . 1380--1380
Anonymous George E. Nicholson, Jr., 1918--1971 . . 1381--1382
Erik Nikolai Torgersen Comparison of Translation Experiments 1383--1399
Galen R. Shorack Convergence of Quantile and Spacings
Processes with Applications . . . . . . 1400--1411
Gary Lorden Likelihood Ratio Tests for Sequential
$k$-Decision Problems . . . . . . . . . 1412--1427
D. Feldman Some Properties of Bayesian Orderings of
Experiments . . . . . . . . . . . . . . 1428--1440
K. W. Fertig Bayesian Prior Distributions for Systems
with Exponential Failure-time Data . . . 1441--1448
Louis A. Jaeckel Estimating Regression Coefficients by
Minimizing the Dispersion of the
Residuals . . . . . . . . . . . . . . . 1449--1458
J. D. Cryer and
Tim Robertson and
F. T. Wright and
Robert J. Casady Monotone Median Regression . . . . . . . 1459--1469
J. N. Darroch and
D. Ratcliff Generalized Iterative Scaling for
Log-Linear Models . . . . . . . . . . . 1470--1480
Stanley L. Sclove and
Carl Morris and
R. Radhakrishnan Non-Optimality of Preliminary-Test
Estimators for the Mean of a
Multivariate Normal Distribution . . . . 1481--1490
R. J. Muirhead On the Test of Independence Between Two
Sets of Variates . . . . . . . . . . . . 1491--1497
Christopher Bingham An Asymptotic Expansion for the
Distribution of the Eigenvalues of a 3
by 3 Wishart Matrix . . . . . . . . . . 1498--1506
Timothy J. Killeen and
Thomas P. Hettmansperger Bivariate Tests for Location and Their
Bahadur Efficiencies . . . . . . . . . . 1507--1516
A. Hedayat and
E. Seiden and
W. T. Federer Some Families of Designs for Multistage
Experiments: Mutually Balanced Youden
Designs when the Number of Treatments is
Prime Power or Twin Primes. I . . . . . 1517--1527
Sanpei Kageyama On the Reduction of Associate Classes
for Certain PBIB Designs . . . . . . . . 1528--1540
Robert Bohrer and
George K. Francis Sharp One-Sided Confidence Bounds Over
Positive Regions . . . . . . . . . . . . 1541--1548
Milton Sobel and
V. R. R. Uppuluri On Bonferroni-Type Inequalities of the
Same Degree for the Probability of
Unions and Intersections . . . . . . . . 1549--1558
Lester E. Dubins Sharp Bounds for the Total Variance of
Uniformly Bounded Semimartingales . . . 1559--1565
James K. Yarnold Asymptotic Approximations for the
Probability that a Sum of Lattice Random
Vectors Lies in a Convex Set . . . . . . 1566--1580
Ilkka Niiniluoto A Note on Fine and Tight Qualitative
Probabilities . . . . . . . . . . . . . 1581--1591
Thomas A. Hern Error Estimates for the Weak Convergence
to Certain Infinitely Divisible Laws . . 1592--1602
T. T. Kadota and
A. D. Wyner Coding Theorem for Stationary,
Asymptotically Memoryless,
Continuous-time Channels . . . . . . . . 1603--1611
Nagata Furukawa Markovian Decision Processes with
Compact Action Spaces . . . . . . . . . 1612--1622
David R. Jacobs, Jr. and
Siegfried Schach Stochastic Order Relationships Between
GI/G/k Systems . . . . . . . . . . . . . 1623--1633
Thomas S. Ferguson and
Michael J. Klass A Representation of Independent
Increment Processes without Gaussian
Components . . . . . . . . . . . . . . . 1634--1643
Justus Seely Completeness for a Family of
Multivariate Normal Distributions . . . 1644--1647
Peter C. Fishburn Alternative Axiomatizations of One-Way
Expected Utility . . . . . . . . . . . . 1648--1651
Bodh Raj Gulati Construction of Two-level Saturated
Symmetrical Factorial Designs of
Resolution VI . . . . . . . . . . . . . 1652--1663
A. W. Davis On the Marginal Distributions of the
Latent Roots of the Multivariate Beta
Matrix . . . . . . . . . . . . . . . . . 1664--1670
R. J. Muirhead The Asymptotic Noncentral Distribution
of Hotelling's Generalized $ T_0^2 $ . . 1671--1677
Federico J. O'Reilly and
C. P. Quesenberry Uniform Strong Consistency of
Rao--Blackwell Distribution Function
Estimators . . . . . . . . . . . . . . . 1678--1679
K. C. Chanda On Estimation of Tail End Probabilities
of the Sample Mean for Linear Stochastic
Processes . . . . . . . . . . . . . . . 1680--1686
F. T. Wright Rates of Convergence for Weighted Sums
of Random Variables . . . . . . . . . . 1687--1691
Naresh C. Jain and
William E. Pruitt The Law of the Iterated Logarithm for
the Range of Random Walk . . . . . . . . 1692--1697
C. J. Park A Note on the Classical Occupancy
Problem . . . . . . . . . . . . . . . . 1698--1701
J. Keilson A Threshold for Log-Concavity for
Probability Generating Functions and
Associated Moment Inequalities . . . . . 1702--1708
R. A. Wijsman A Theorem on Obstructive Distributions 1709--1715
Dudley Paul Johnson Hitting Time Distributions for General
Stochastic Processes . . . . . . . . . . 1716--1718
D. L. Thomas On Limiting Distributions of a Random
Number of Dependent Random Variables . . 1719--1726
Miloslav Ji\vrina Convergence in Distribution of Random
Measures . . . . . . . . . . . . . . . . 1727--1731
Marius Iosifescu On Two Recent Papers on Ergodicity in
Nonhomogeneous Markov Chains . . . . . . 1732--1736
Julius R. Blum and
Bennett Eisenberg Conditions for Metric Transitivity for
Stationary Gaussian Processes on Groups 1737--1741
J. Kiefer and
R. Schwartz Correction Notes: Correction to
``Admissible Bayes Character of $ T^2$-,
$ R^2$-, and Other Fully Invariant Tests
for Classical Multivariate Normal
Problems'' . . . . . . . . . . . . . . . 1742--1742
R. L. Obenchain Correction Notes: Correction to
``Multivariate Procedures Invariant
Under Linear Transformations'' . . . . . 1742--1743
R. M. Korwar and
R. J. Serfling Acknowledgment of Priority to ``On
Averaging Over Distinct Units in
Sampling with Replacement'' . . . . . . 1744--1744
Flavio Rodrigues and
Gordon Simons Review: Alfréd Rényi,
\booktitleFoundations of Probability . . 1745--1747
P. Révész and
I. Vincze Alfréd Rényi, 1921--1970 . . . . . . . . . i--xvi
R. J. Beran Rank Spectral Processes and Tests for
Serial Dependence . . . . . . . . . . . 1749--1766
C. Villegas Bayesian Inference in Linear Relations 1767--1791
P. K. Bhattacharya Order of Dependence in a Stationary
Normally Distributed Two-Way Series . . 1792--1807
Milton Sobel and
George H. Weiss Play-the-Winner Rule and Inverse
Sampling for Selecting the Best of $ k
\geqq 3 $ Binomial Populations . . . . . 1808--1826
L. H. Crow and
I. N. Shimi Maximum Likelihood Estimation of
Life-Distributions from Renewal Testing 1827--1838
Konrad Behnen A Characterization of Certain Rank-Order
Tests with Bounds for the Asymptotic
Relative Efficiency . . . . . . . . . . 1839--1851
Morris L. Eaton and
Richard A. Olshen Random quotients and the Behrens--Fisher
problem . . . . . . . . . . . . . . . . 1852--1860
P. K. Bhattacharya and
Robert P. Smith Sequential Probability Ratio Test for
the Mean Value Function of a Gaussian
Process . . . . . . . . . . . . . . . . 1861--1873
Thomas G. Kurtz Inequalities for the Law of Large
Numbers . . . . . . . . . . . . . . . . 1874--1883
Norman Starr How to Win a War if You Must: Optimal
Stopping Based on Success Runs . . . . . 1884--1893
Stratton C. Jaquette Markov Decision Processes with a New
Optimality Criterion: Small Interest
Rates . . . . . . . . . . . . . . . . . 1894--1901
D. Szász Limit Theorems for the Distributions of
the Sums of a Random Number of Random
Variables . . . . . . . . . . . . . . . 1902--1913
Shashikala Sukhatme Fredholm Determinant of a Positive
Definite Kernel of a Special Type and
Its Application . . . . . . . . . . . . 1914--1926
Louis Gordon An Equivalent to the Martingale Square
Function Inequality . . . . . . . . . . 1927--1934
Jakov Snyders Error Formulae for Optimal Linear
Filtering, Prediction and Interpolation
of Stationary Time Series . . . . . . . 1935--1943
Balram S. Rajput and
Stamatis Cambanis Gaussian Processes and Gaussian Measures 1944--1952
L. H. Koopmans and
C. Qualls An Exponential Probability Bound for the
Energy of a Type of Gaussian Process . . 1953--1960
Richard Holley Markovian Interaction Processes with
Finite Range Interactions . . . . . . . 1961--1967
Frank B. Knight On Markov Processes with
Right-Deterministic Germ Fields . . . . 1968--1976
John S. Ramberg Selection Sample Size Approximations . . 1977--1980
Khursheed Alam and
James R. Thompson On Selecting the Least Probable
Multinomial Event . . . . . . . . . . . 1981--1990
Ramon C. Littell On the Efficiency of a Competitor of the
Two-Sample Kolmogorov--Smirnov and
Kuiper Tests . . . . . . . . . . . . . . 1991--1992
Glen Meeden Bayes Estimation of the Mixing
Distribution, The Discrete Case . . . . 1993--1999
Toby Berger On the Correlation Coefficient of a
Bivariate, Equal Variance, Complex
Gaussian Sample . . . . . . . . . . . . 2000--2003
Pranab Kumar Sen On a Class of Aligned Rank Order Tests
for the Identity of the Intercepts of
Several Regression Lines . . . . . . . . 2004--2012
Dana Vorlí\vcková Asymptotic Properties of Rank Tests of
Symmetry Under Discrete Distributions 2013--2018
Paul Seeger A Note on Partitioning a Set of Normal
Populations by Their Locations with
Respect to Two Controls . . . . . . . . 2019--2023
Robert Hultquist and
Erwin M. Atzinger The Mixed Effects Model and Simultaneous
Diagonalization of Symmetric Matrices 2024--2030
A. R. Sen Successive Sampling With $p$ ($ p \geqq
1$) Auxiliary Variables . . . . . . . . 2031--2034
E. D. Rothman and
Michael Woodroofe A Cramér--von Mises Type Statistic for
Testing Symmetry . . . . . . . . . . . . 2035--2038
David L. Burdick A Note on Symmetric Random Variables . . 2039--2040
Khursheed Alam Unimodality of the Distribution of an
Order Statistic . . . . . . . . . . . . 2041--2044
Dieter Landers and
Lothar Rogge Minimal Sufficient $ \sigma $-Fields and
Minimal Sufficient Statistics. Two
Counterexamples . . . . . . . . . . . . 2045--2049
Charles J. Stone An Upper Bound for the Renewal Function 2050--2052
J. Robinson A Converse to a Combinatorial Limit
Theorem . . . . . . . . . . . . . . . . 2053--2057
E. J. Hannan and
C. C. Heyde On Limit Theorems for Quadratic
Functions of Discrete Time Series . . . 2058--2066
R. Shantaram and
W. Harkness On a Certain Class of Limit
Distributions . . . . . . . . . . . . . 2067--2071
David C. Heath and
William D. Sudderth On a Theorem of De Finetti, Oddsmaking,
and Game Theory . . . . . . . . . . . . 2072--2077
John E. Rolph and
Ralph E. Strauch A Countable Policy Set for Sequential
Decision Problems . . . . . . . . . . . 2078--2082
A. Ephremides and
J. B. Thomas On the Multiplicity of a Class of
Multivariate Random Processes . . . . . 2083--2089
Douglas P. Kennedy Estimates of the Rates of Convergence in
Limit Theorems for the First Passage
Times of Random Walks . . . . . . . . . 2090--2094
C. H. Raifaizen Pairs of One Dimensional Random Walk
Paths . . . . . . . . . . . . . . . . . 2095--2098
Howard J. Weiner A Critical Age-Dependent Branching
Process with Immigration . . . . . . . . 2099--2103
Howard H. Stratton Feller's Parametric Equations for Laws
of the Iterated Logarithm . . . . . . . 2104--2109
E. G. Enns Correction Notes: Correction to ``The
Optimum Strategy for Maximising the
Probability of Obtaining the Random
Variable Nearest to an Arbitrary Real
Number'' . . . . . . . . . . . . . . . . 400--400
W. L. Steiger Correction Notes: Correction to ``A Best
Possible Kolmogoroff-Type Inequality for
Martingales and a Characteristic
Property'' . . . . . . . . . . . . . . . 400--400
Robert H. Berk Notes: Acknowledgement of Priority and
Correction to ``Consistency and
Asymptotic Normality of MLE's for
Exponential Models'' . . . . . . . . . . 593--593
Joseph B. Kadane Correction Note: Correction to ``A
Moment Problem for Order Statistics'' 797--797
C. G. Khatri Note: Corrections to ``Conditions for
Wishartness and Independence of Second
Degree Polynomials in Normal Vector'' 991--991
Timothy J. Killeen and
Thomas P. Hettmansperger and
Gerald Sievers Notes: Correction to ``An Elementary
Theorem on the Probability of Large
Deviations'' . . . . . . . . . . . . . . 1357--1357
Robert A. Wijsman Notes: Correction to ``A Monotonicity
Property of the Sequential Probability
Ratio Test'' . . . . . . . . . . . . . . 796--796
Leo A. Goodman Notes: Correction to ``Simultaneous
Confidence Intervals for Contrasts Among
Multinomial Populations'' . . . . . . . 821--821
A. K. Nigam Notes: Correction to ``Block Designs for
Mixture Experiments'' . . . . . . . . . 1294--1295
B. Efron The 1977 Rietz Lecture: Bootstrap
Methods: Another Look At The Jackknife 1--26
Marietta J. Tretter and
G. William Walster Continued Fractions for the Incomplete
Beta Function: Additions and Corrections 462--465
Michael E. Tarter and
Virginia A. Clark Correction to ``Order Statistics of
Logistic Variates'' . . . . . . . . . . 935--935
T. W. Anderson Correction to ``Estimating Linear
Restrictions on Regression Coefficients
for Multivariate Normal Distributions'' 1400--1400
W. J. Hall and
R. A. Wijsman and
J. K. Ghosh Correction: ``The Relationship Between
Sufficiency and Invariance with
Applications in Sequential Analysis'' 705--705
M. H. Quenouille Notes on Bias in Estimation . . . . . . 353--360
Rupert G. Miller The Jackknife --- a Review . . . . . . . 1--15
Chas. W. Cotterman and
Laurence H. Snyder Tests of Simple Mendelian Inheritance in
Randomly Collected Data of One and Two
Generations . . . . . . . . . . . . . . 511--523
M. H. Quenouille Approximate tests of correlation in
time-series . . . . . . . . . . . . . . 68--84
Ehud Lehrer and
Eran Shmaya Two Remarks on Blackwell's Theorem . . . 580--586