Last update: Mon Oct 7 06:20:26 MDT 2024
Volume 1, Number 1, February, 1930Wilford 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 . . .