The Annals of Mathematical Statistics was published between 1930 and 1972 by the Institute of Mathematical Statistics. The journal was superseded in 1973 by The Annals of Probability and The Annals of Statistics.

### Volume 38, Number 4

#### Publication Date: August, 1967

Miscellaneous front pages, Ann. Math. Statist., Volume 38, Number 4 (1967)

Properties of the Stationary Measure of the Critical Case Simple Branching Process

Samuel Karlin and James McGregor; 977-991

Extensions of a Limit Theorem of Everett, Ulam and Harris on Multitype Branching Processes to a Branching Process with Countably Many Types

Shu-Teh C. Moy; 992-999

Epsilon Entropy of Stochastic Processes

Edward C. Posner, Eugene R. Rodemich and Howard Rumsey; 1000-1020

On Hitting Places for Stable Processes

Sidney C. Port; 1021-1026

Equivalent Gaussian Measures with a Particularly Simple Radon-Nikodym Derivative

Dale E. Varberg; 1027-1030

On Convergence of the Kiefer-Wolfowitz Approximation Procedure

J. H. Venter; 1031-1036

A Large Sample Test for the Independence of Two Renewal Processes

Sidney C. Port and Charles J. Stone; 1037-1041

Simple Random Walk and Rank Order Statistics

Meyer Dwass; 1042-1053

Bounded Expected Utility

Peter C. Fishburn; 1054-1060

Statistical Models and Invariance

D. A. S. Fraser; 1061-1067

The Conditional Level of Student's $t$ Test

L. Brown; 1068-1071

On Selecting A Subset of $k$ Populations Containing the Best

W. J. Studden; 1072-1078

Some Fixed-Sample Ranking and Selection Problems

D. M. Mahamunulu; 1079-1091

On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models

George Zyskind; 1092-1109

The Construction of Saturated $2^{k-p}_R$ Designs

Norman R. Draper and Toby J. Mitchell; 1110-1126

Application of Cyclic Collineations to the Construction of Balanced $L$-Restrictional Prime Powered Lattice Designs

B. L. Raktoe; 1127-1141

Replicated (or Interprenetrating) Samples of Unequal Sizes

J. C. Koop; 1142-1147

On the Distribution of the Largest Latent Root of the Covariance Matrix

T. Sugiyama; 1148-1151

Distribution of the Largest Latent Root and the Smallest Latent Root of the Generalized $B$ Statistic and $F$ Statistic in Multivariate Analysis

T. Sugiyama; 1152-1159

On the Exact Distributions of Likelihood Ratio Criteria for Testing Independence of Sets of Variates Under the Null Hypothesis

P. C. Consul; 1160-1169

On the Exact Distributions of the Criterion $W$ for Testing Sphericity in a $p$-Variate Normal Distribution

P. C. Consul; 1170-1174

Confidence Interval of Preassigned Length for the Behrens-Fisher Problem

Saibal Banerjee; 1175-1179

Confidence Intervals for the Mean of a Finite Population

V. M. Joshi; 1180-1207

The Distribution Functions of Tsao's Truncated Smirnov Statistics

W. J. Conover; 1208-1215

On the Theory of Rank Order Tests for Location in the Multivariate One Sample Problem

Pranab Kumar Sen and Madan Lal Puri; 1216-1228

Asymptotically Most Powerful Rank Order Tests for Grouped Data

Pranab Kumar Sen; 1229-1239

An Inequality Concerning Tests of Fit of the Kolmogorov-Smirnov Type

Georges Vandewiele and Marc Noe; 1240-1244

Permutations without Rising or Falling $\omega$-Sequences

Morton Abramson and W. O. J. Moser; 1245-1254

Models for Cataloguing Problems

Martin Knott; 1255-1260

Estimation of Probability Density by an Orthogonal Series

Stuart C. Schwartz; 1261-1265

Asymptotic Expansions Associated with the $n$th Power of a Density

R. A. Johnson; 1266-1272

On the Glivenko-Cantelli Theorem for Infinite Invariant Measures

Eugene M. Klimko; 1273-1277

#### Notes

How to Survive a Fixed Number of Fair Bets

W. Molenaar and E. A. van der Velde; 1278-1280

Timid Play is Optimal

David A. Freedman; 1281-1283

Timid Play is Optimal, II

David A. Freedman and Roger Purves; 1284-1285

Tests for the Equality of Covariance Matrices under the Intraclass Correlation Model

P. R. Krishnaiah and P. K. Pathak; 1286-1288

The Inverse of a Certain Matrix, with an Application

Chandan K. Mustafi; 1289-1292

On the Construction of Cyclic Collineations for Obtaining a Balanced Set of $L$-Restrictional Prime-Powered Lattice Designs

Sati Mazumdar; 1293-1295

A Note on the Unimodality of Distribution Functions of Class $L$

Tze-Chien Sun; 1296-1299

Identifiability of Mixtures of Product Measures

Henry Teicher; 1300-1302

Note on the Infinite Divisibility of Exponential Mixtures

F. W. Steutel; 1303-1305

Infinite Divisibility of Integer-Valued Random Variables

S. K. Katti; 1306-1308

Correction Note: Correction to Stopping Time of a Rank-Order Sequential Probability Ratio Test Based on Lehmann Alternatives

I. Richard Savage and J. Sethuraman; 1309

Abstracts

1310-1316

News and Notices

1317-1322