The Annals of Mathematical Statistics

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 The journal was superseded in 1973 by The Annals of Probability and The Annals of Statistics.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 41, Number 2

Publication Date: April, 1970

Miscellaneous front pages, Ann. Math. Statist., Volume 41, Number 2 (1970)

Unbiased Coin Tossing with a Biased Coin

Wassily Hoeffding and Gordon Simons; 341-352

On a Class of Infinite Games Related to Liar Dice

Thomas S. Ferguson; 353-362

Approximation of Age Dependent, Multitype Branching Processes

Thomas G. Kurtz; 363-368

A Randomized Procedure of Saturated Main Effect Fractional Replicates

U. B. Paik and W. T. Federer; 369-375

Construction of $\beta$-Content Tolerance Regions at Confidence Level $\gamma$ for Large Samples from the $k$-Variate Normal Distribution

Irwin Guttman; 376-400

Cauchy's Equation and Sufficient Statistics on Arcwise Connected Spaces

J. L. Denny; 401-411

Some Structure Theorems for the Symmetric Stable Laws

Michael Schilder; 412-421

A Duality Between Autoregressive and Moving Average Processes Concerning Their Least Squares Parameter Estimates

David A. Pierce; 422-426

The Asymptotic Distribution of the Measure of Random Sets with Application to the Classical Occupancy Problem and Suggestions for Curve Fitting

Gedalia Ailam; 427-439

On an Asymptotic Representation of the Distribution of the Characteristic Roots of $S_1S_2^{-1}$

Tseng C. Chang; 440-445

Sufficient Conditions for the Admissibility Under Squared Errors Loss of Formal Bayes Estimators

J. V. Zidek; 446-456

Maximum Likelihood Estimation of a Unimodal Density Function

Edward J. Wegman; 457-471

Functions of Processes with Markovian States--III

Martin Fox and Herman Rubin; 472-479

Integral Functionals of Birth and Death Processes and Related Limiting Distributions

Donald R. McNeil; 480-485

A Note on a Characterization of the Multivariate Normal Distribution

P. R. Fisk; 486-494

A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines

George S. Kimeldorf and Grace Wahba; 495-502

Another Look at Doob's Theorem

R. K. Getoor and Murali Rao; 503-506

Estimation for Distributions with Monotone Failure Rate

B. L. S. Prakasa Rao; 507-519

On Excess Over the Boundary

Gary Lorden; 520-527

Gauss-Markov Estimation for Multivariate Linear Models: A Coordinate Free Approach

Morris L. Eaton; 528-538

Ergodic Theorems for Infinite Probabilistic Tables

A. Paz; 539-550

Betting Systems in Favorable Games

Alan J. Truelove; 551-566

Further Results on Minimum Variance Unbiased Estimation and Additive Number Theory

G. P. Patil and S. W. Joshi; 567-575

A System of Markov Chains with Random Life Times

Frederick W. Leysieffer; 576-584

Best Tests for Testing Hypotheses About a Random Parameter with Unknown Distribution

Glen Meeden; 585-591

A Local Limit Theorem and Recurrence Conditions for Sums of Independent Non-Lattice Random Variables

J. Mineka and S. Silverman; 592-600

The Asymptotic Behavior of Bayes' Estimators

M. T. Chao; 601-608

Estimation for Monotone Parameter Sequences: The Discrete Case

Harold Sackrowitz; 609-620

On the Weak Convergence of Probability Measures

Lucien LeCam; 621-625

Optimally Timing the Sale of Stock When the Tax Man is Breathing Down Your Neck

Arthur Albert; 626-641

Notes

A Family of Minimax Estimators of the Mean of a Multivariate Normal Distribution

A. J. Baranchik; 642-645

An Addendum to "Stochastic Approximation and Nonlinear Regression"

A. E. Albert and L. A. Gardner; 646-647

On Relationship Algebras of Incomplete Block Designs

J. Robinson; 648-650

An $M/G/\infty$ Estimation Problem

Mark Brown; 651-654

Joint Distribution of the Extreme Roots of a Covariance Matrix

T. Sugiyama; 655-657

Characteristic Functions, Moments, and the Central Limit Theorem

B. M. Brown; 658-664

On a Certain Recurrence Relation

J. C. Ahuja; 665-666

The Order of the Minimum Variance in a Non-Regular Case

Thomas Polfeldt; 667-672

Minimum Variance Order when Estimating the Location of an Irregularity in the Density

Thomas Polfeldt; 673-679

A Note on Random Polynomials

Richard G. Wood; 680-682

An Extension of Wilks' Test for the Equality of Means

I. Olkin and S. S. Shrikhande; 683-687

Recursive Estimation of a Subset of Regression Coefficients

Richard H. Jones; 688-691

Distribution Theory of a Positive Definite Quadratic Form with Matrix Argument

B. K. Shah; 692-697

A Characterization of a Conditional Expectation with Respect to a $\Sigma$- Lattice

Richard L. Dykstra; 698-701

Convex Cones and Finite Optimals

T. E. S. Raghavan; 702-705

Convergence Properties of Martingale Transforms

Harro Walk; 706-709

A Weak Convergence Theorem for Random Sums of Independent Random Variables

Pedro J. Fernandez; 710-712

A Multivariate Definition for Increasing Hazard Rate Distribution Functions

Robert Harris; 713-717

On Multivariate Density Estimates Based on Orthogonal Expansions

Michael Tarter and Richard Kronmal; 718-722

The Distribution of the Ratios of Means to the Square Root of the Sum of Variances of a Bivariate Normal Sample

S. A. Patil and S. H. Liao; 723-728

Note on a Paper by H. G. Tucker

Laurens De Haan; 729-732

A Remark on Almost Invariance

Robert H. Berk; 733-735

A Necessary and Sufficient Condition that for Regular Multiple Decision Problems of Type I Every Unbiased Procedure Has Minimax Risk

Wilhelmine Stefansky; 736-738

Extension of a Result of Seneta for the Super-Critical Galton-Watson Process

C. C. Heyde; 739-742

Analysis of Room's Square Design

K. R. Shah; 743-745

Book Reviews

Review: Kai Lai Chung, A Course in Probability Theory

Raoul LePage; 746-748

Review: Howard Tucker, A Graduate Course in Probability

Naresh C. Jain; 748-749

Review: R. M. Blumenthal, R. K. Getoor, Markov Processes and Potential Theory

Harry Dym; 749-750

Abstracts of Papers

751-757

News and Notices

758-763

Publications Received

764

Miscellaneous back pages, Ann. Math. Statist., Volume 41, Number 2 (1970)


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