Sommaire du Fascicule no. 6

Publications Received

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Correction Notes: Correction to Abstract "A Group-Testing Problem"

Kumar, S.

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Acknowledgment of Priority: A New Proof of the Pearson-Fisher Theorem

Birch, M. W.

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Correction Notes: Correction to "A Monotonicity Property of the Power Functions of Some Tests of the Equality of Two Covariance Matrices"

Anderson, T. W. ; Gupta, S. Das

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Correction Note: Correction to Abstract "Asymptotic Efficiency of Certain Distance Criteria"

Andrews, Fred ; Jogdeo, Kumar

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A Balanced Incomplete Block Design

Hanani, Haim

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Publications Received

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Correction Notes: Correction to "Some Renyi Type Limit Theorems for Empirical Distribution Functions"

Csorgo, Miklos

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Correction Notes: Corrections to "On Some Asymptotically Non-Parametric Competitors of Hotelling's $T^2$"

Bickel, Peter J.

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Correction Notes: Correction to "A Comparative Study of Several One-Sided Goodness-of-Fit Tests"

Chapman, D. G.

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Correction Notes: Correction to "Some Basic Properties of the Incomplete Gamma Function Ratio"

Khamis, Salem H.

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Correction Notes: Correction to Abstract "On a Multivariate Slippage Problem"

Srivastava, M. S.

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Correction Notes: Correction to "On the Equivalence of Polykays of the Second Degree and $\Sigma$'S"

Dayhoff, Eugene

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Correction Notes: Correction to Abstract "Tables for the Distribution of the Maximum of Correlated Chi-Square Variates with One Degree of Freedom"

Krishnaiah, P. R. ; Armitage, J. V.

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Publications Received

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A Note on Incomplete Block Designs with $b = v$

Rao, M. Bhaskar

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Acknowledgment of Priority: Some New Distribution-Free Statistics

Bell, C. B. ; Doksum, K. A.

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Samuel Stanley Wilks,1906-1964

Anderson, T. W.

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p. 1-23

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The Publications of S. S. Wilks

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p. 24-27

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Sequential Test for the Mean of a Normal Distribution III (Small $t$)

Chernoff, Herman

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p. 28-54

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Sequential Tests for the Mean of a Normal Distribution IV (Discrete Case)

Chernoff, Herman

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p. 55-68

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Maximum Likelihood Estimation for Distributions with Monotone Failure Rate

Marshall, Albert W. ; Proschan, Frank

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p. 69-77

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Estimates of Linear Combinations of the Parameters in the Mean Vector of a Multivariate Distribution

Cohen, Arthur

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p. 78-87

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Main-Effect Analysis of the General Non-Orthogonal Layout with any Number of Factors

Bradu, Dan

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p. 88-97

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Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution

Khatri, C. G.

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p. 98-114

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A Test for Reality of a Covariance Matrix in a Certain Complex Gaussian Distribution

Khatri, C. G.

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p. 115-119

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The Distribution of the Generalized Variance

Bagai, O. P.

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p. 120-130

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Some Direct Estimates of the Mode

Grenander, Ulf

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p. 131-138

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A System of Inequalities for the Incomplete Gamma Function and the Normal Integral

Gupta, Shanti S. ; Waknis, Mrudulla N.

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p. 139-149

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Bayesian Estimation in Multivariate Analysis

Geisser, Seymour

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p. 150-159

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On Some Asymptotically Nonparametric Competitors of Hotelling's $T^{2 1}$

Bickel, Peter J.

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p. 160-173

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Robustness of the Hodges-Lehmann Estimates for Shift

Hoyland, Arnljot

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p. 174-197

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On the Estimation of Contrasts in Linear Models

Bhuchongkul, Subha ; Puri, Madan L.

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p. 198-202

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Some New Distribution-Free Statistics

Bell, C. B. ; Doksum, K. A.

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p. 203-214

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Poisson Limits of Multivariate Run Distributions

Fuchs, Carol E. ; David, H. T.

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p. 215-225

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Discounted Dynamic Programming

Blackwell, David

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p. 226-235

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Some Aspects of the Random Sequence

Barton, D. E. ; Mallows, C. L.

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p. 236-260

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One-Parameter Exponential Families Generated by Transformation Groups

Borges, R. ; Pfanzagl, J.

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p. 261-271

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Increasing Properties of Polya Frequency Function

Efron, Bradley

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p. 272-279

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On the Probability of Large Deviations of the Mean for Random Variables in $D\lbrack 0,1\rbrack$

Sethuraman, J.

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p. 280-285

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Joint Distributions with Prescribed Moments

Rumsey, Howard ; Posner, Edward C.

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p. 286-298

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Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$

von Bahr, Bengt ; Esseen, Carl-Gustav

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p. 299-303

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On Limit Theorems for Gaussian Processes

Lamperti, John

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p. 304-310

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Distribution of the Absolute Maximum for Certain Brownian Motions

Knight, Frank B.

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p. 311-312

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On the Complex Wishart Distribution

Srivastava, M. S.

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p. 313-315

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A Theorem on Rank Orders for Two Censored Samples

Sarndal, Carl-Erik

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p. 316-321

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Some Renyi Type Limit Theorems for Empirical Distribution Functions

Csorgo, Miklos

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p. 322-326

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On Sampling Over Two Occasions with Probability Proportionate to Size

Raj, Des

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p. 327-330

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A Note on the Parameters of PBIB Association Schemes

Mesner, Dale M.

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p. 331-336

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Bounds for the Number of Common Treatments Between Any Two Blocks of Certain PBIB Designs

Shah, S. M.

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p. 337-342

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Correction Note: Correction to "Multivariate Correlation Models with Mixed Discrete and Continuous Variables"

Olkin, I. ; Tate, R. F.

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p. 343-344

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Review: Ulf Grenander, Probabilities on Algebraic Structures

Kallianpur, G.

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p. 345-347

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Review: Yu. V. Linnik, M. L. Gruel, Decomposition des Lois de Probabilities; Yu. V. Linnik, S. J. Taylor, Decomposition of Probability Distributions

Lukacs, E.

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p. 347-350

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Abstracts of Papers

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p. 351-365

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News and Notices

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p. 366-368

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Asymptotically Optimal Tests for Multinomial Distributions

Hoeffding, Wassily

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p. 369-401

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Discussion of Hoeffding's Paper

Neyman, Jerzy ; Chernoff, Herman ; Chapman, D. G.

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p. 401-408

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Additive Functionals and Excessive Functions

Getoor, R. K.

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p. 409-422

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The Existence of Probability Measures with Given Marginals

Strassen, V.

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p. 423-439

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Right Haar Measure for Convergence in Probability to Quasi Posterior Distributions

Stone, M.

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p. 440-453

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On the Asymptotic Behavior of Bayes Estimates in the Discrete Case II

Freedman, David A.

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p. 454-456

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On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean

Chow, Y. S. ; Robbins, Herbert

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p. 457-462

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On the Asymptotic Theory of Fixed-Size Sequential Confidence Bounds for Linear Regression Parameters

Gleser, Leon J.

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p. 463-467

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Some Optimum Confidence Bounds for Roots of Determinantal Equations

Anderson, T. W.

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p. 468-488

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Large-Sample Estimation of an Unknown Discrete Waveform Which is Randomly Repeating in Gaussian Noise

Hinich, Melvin

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p. 489-508

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On the Mean Number of Curve Crossings by Non-Stationary Normal Processes

Leadbetter, M. R. ; Cryer, J. D.

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p. 509-516

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Integral Kernels and Invariant Measures for Markoff Transition Functions

Feldman, J.

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p. 517-523

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A Characterisation of a Class of Functions of Finite Markov Chains

Dharmadhikari, S. W.

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p. 524-528

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The Behavior of Likelihood Ratios of Stochastic Processes Related by Groups of Transformations

Pitcher, T. S.

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p. 529-534

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Recurrent Sets

Bucy, R. S.

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p. 535-545

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A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions

Stone, Charles

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p. 546-551

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Local Convergence of Martingales and the Law of Large Numbers

Chow, Y. S.

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p. 552-558

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On the Convergence Rate of the Law of Large Numbers for Linear Combinations of Independent Random Variables

Hanson, D. L. ; Koopmans, L. H.

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p. 559-564

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Bounds on Integrals with Applications to Reliability Problems

Barlow, Richard E.

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p. 565-574

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The Relationship Between Sufficiency and Invariance with Applications in Sequential Analysis

Hall, W. J. ; Wijsman, R. A. ; Ghosh, J. K.

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p. 575-614

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On the Asymptotic Behavior of Densities with Applications to Sequential Analysis

Ifram, Adnan F.

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p. 615-637

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Nonlinear Least Squares Estimation

Hartley, H. O. ; Booker, Aaron

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p. 638-650

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Effect of Non-Normality on Stein's Two Sample Test

Bhattacharjee, G. P.

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p. 651-663

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On the Complex Analogues of $T^2$- and $R^2$-Tests

Giri, N.

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p. 664-670

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Generalization of Sverdrup's Lemma and its Applications to Multivariate Distribution Theory

Kabe, D. G.

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p. 671-676

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Approximations to the Distribution of Quadratic Forms

Siddiqui, M. M.

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p. 677-682

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Decomposition of Symmetric Matrices and Distributions of Quadratic Forms

Luther, Norman Y.

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p. 683-690

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Note on Decision Procedures for Finite Decision Problems Under Complete Ignorance

Efron, Bradley

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p. 691-697

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Note on Estimating Ordered Parameters

Samuel, Ester

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p. 698-702

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Characterizations of Some Distributions by Conditional Moments

Bolger, E. M. ; Harkness, W. L.

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p. 703-705

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Limiting Distributions of Response Probabilities

McGregor, J. R. ; Zidek, J. V.

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p. 706-707

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A Recurrence for Permutations without Rising or Falling Successions

Riordan, John

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p. 708-710

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A Property of the Multivariate $t$ Distribution

Dunn, Olive Jean

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p. 712-714

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Review: P. Whittle, Prediction and Regulation by Linear Least-Squares Methods

Beutler, Frederick J.

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p. 716-718

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Review: John E. Walsh, Handbook of Nonparametric Statistics

Moses, Lincoln E.

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p. 719-722

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Review: Theodore E. Harris, The Theory of Branching Processes

Welsh, D. J. A.

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p. 723-725

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Abstracts of Papers

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p. 726-736

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News and Notices

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p. 737-744

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Publications Received

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p. 744-745

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Admissible Bayes Character of $T^2-, R^2-$, and Other Fully Invariant Tests for Classical Multivariate Normal Problems

Kiefer, J. ; Schwartz, R.

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p. 747-770

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Gaussian Processes on Several Parameters

Dudley, R. M.

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p. 771-788

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Moments of Randomly Stopped Sums

Chow, Y. S. ; Robbins, Herbert ; Teicher, Henry

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p. 789-799

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A Sharper Form of the Borel-Cantelli Lemma and the Strong Law

Dubins, Lester E. ; Freedman, David A.

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p. 800-807

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On the Convergence of Moments in the Central Limit Theorem

Bahr, Bengt Von

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p. 808-818

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On the Lifting Property (V)

Tulcea, A. Ionescu

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p. 819-828

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Invariant Conditional Distributions

Bather, J. A.

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p. 829-846

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On Some Robust Estimates of Location

Bickel, Peter J.

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p. 847-858

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Bounds on the Maximum Sample Size of a Bayes Sequential Procedure

Ray, S. N.

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p. 859-878

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Sequential Compound Estimators

Samuel, Ester

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p. 879-889

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On Information in Statistics

Fraser, D. A. S.

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p. 890-896

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Order Statistics and Statistics of Structure $(d)$

David, Herbert T.

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p. 897-906

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Exact Moments and Percentage Points of the Order Statistics and the Distribution of the Range From the Logistic Distribution

Gupta, Shanti S. ; Shah, Bhupendra K.

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p. 907-920

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Quantiles and Medians

Rosenblatt-Roth, M.

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p. 921-925

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Some Basic Properties of the Incomplete Gamma Function Ratio

Khamis, Salem H.

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p. 926-937

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Properties of the Extended Hypergeometric Distribution

Harkness, W. L.

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p. 938-945

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Renewal Theory in the Plane

Bickel, Peter J. ; Yahav, Joseph A.

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p. 946-955

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Bernard Friedman's Urn

Freedman, David A.

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p. 956-970

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Spectral Analysis with Randomly Missed Observations: The Binomial Case

Scheinok, Perry A.

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p. 971-977

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Asymptotic Inference in Markov Processes

Roussas, G. G.

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p. 978-992

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Extreme Values in Uniformly Mixing Stationary Stochastic Processes

Loynes, R. M.

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p. 993-999

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On the Asymptotic Power of the One-Sample Kolmogorov-Smirnov Tests

Quade, Dana

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p. 1000-1018

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Several $k$-Sample Kolmogorov-Smirnov Tests

Conover, W. J.

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p. 1019-1026

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Estimation of Probability Density

Murthy, V. K.

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p. 1027-1031

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Estimation of Jumps, Reliability and Hazard Rate

Murthy, V. K.

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p. 1032-1040

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A Limit Theorem for Sums of Minima of Stochastic Variables

Grenander, Ulf

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p. 1041-1042

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The Expected Number of Zeros of a Stationary Gaussian Process

Ylvisaker, N. Donald

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p. 1043-1046

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Density Estimation in a Topological Group

Craswell, K. J.

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p. 1047-1048

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A Nonparametric Estimate of a Multivariate Density Function

Loftsgaarden, D. O. ; Quesenberry, C. P.

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p. 1049-1051

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A Note on Midrange

Gumbel, E. J. ; Carlson, P. G. ; Mustafi, C. K.

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p. 1052-1054

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Some Bounds for Expected Values of Order Statistics

Ali, Mir M. ; Chan, Lai K.

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p. 1055-1057

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Note on the Wilcoxon-Mann-Whitney Statistic

Zaremba, S. K.

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p. 1058-1060

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On the Likelihood Ratio Test of a Normal Multivariate Testing Problem II

Giri, N.

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p. 1061-1065

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Factorial Distributions

Marlow, W. H.

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p. 1066-1068

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Review: Harald Bergstrom, Limit Theorems for Convolutions

Darling, D. A.

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p. 1070-1072

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Abstracts of Papers

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p. 1073-1087

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News and Notices

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p. 1088-1094

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Minimax Designs in Two Dimensional Regression

Hoel, Paul G.

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p. 1097-1106

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Distinguishing a Sequence of Random Variables from a Translate of Itself

Shepp, L. A.

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p. 1107-1112

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Some Smirnov Type Theorems of Probability Theory

Csorgo, Miklos

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p. 1113-1119

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Estimation of the Bispectrum

Rosenblatt, M. ; Ness, J. W. Van

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p. 1120-1136

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The Asymptotically Unbiased Prior Distribution

Hartigan, J. A.

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p. 1137-1152

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An Asymptotic Expansion for the Distribution of the Latent Roots of the Estimated Covariance Matrix

Anderson, George A.

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p. 1153-1173

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Optimum Classification Rules for Classification into Two Multivariate Normal Populations

Gupta, S. Das

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p. 1174-1184

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A Hybrid Problem on the Exponential Family

Cohen, Arthur

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p. 1185-1206

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Optimal Invariant Rank Tests for the $k$-Sample Problem

Matthes, T. K. ; Truax, D. R.

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p. 1207-1222

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A $k$-Sample Model in Order Statistics

Conover, W. J.

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p. 1223-1235

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The Two-Sample Scale Problem When Locations are Unknown

Raghavachari, M.

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p. 1236-1242

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Asymptotically Most Powerful Rank Tests for the Two-Sample Problem with Censored Data

Gastwirth, Joseph L.

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p. 1243-1247

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Student's $t$ in a Two-Way Classification with Unequal Variances

Mazuy, Kay Knight ; Connor, W. S.

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p. 1248-1255

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Construction of Confounding Plans for Mixed Factorial Designs

White, David ; Hultquist, Robert A.

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p. 1256-1271

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On the Number of Successes in Independent Trials

Samuels, S. M.

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p. 1272-1278

Project Euclid
On the Iterative Method of Dynamic Programming on a Finite Space Discrete Time Markov Process

Brown, Barry W.

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p. 1279-1285

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On Stochastic Processes Derived From Markov Chains

Heller, Alex

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p. 1286-1291

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Generalizations of the Maximal Ergodic Theorem

Baxter, Glen

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p. 1292-1293

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A Simple Probabilistic Proof of the Discrete Generalized Renewal Theorem

Port, Sidney C.

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p. 1294-1297

Project Euclid
On Moment Generating Functions and Renewal Theory

Stone, Charles

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p. 1298-1301

Project Euclid
A Note on the Reciprocal of the Conditional Expectation of a Positive Random Variable

Robertson, Tim

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p. 1302-1305

Project Euclid
On the Efficiency of the Normal Scores Test Relative to the $F$-Test

Raghavachari, M.

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p. 1306-1307

Project Euclid
A Note on Wilks' Internal Scatter

van der Vaart, H. Robert

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p. 1308-1312

Project Euclid
Pairwise Statistical Independence

Lancaster, H. O.

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p. 1313-1317

Project Euclid
Review: Frank Spitzer, Principles of Random Walk

Darling, D. A.

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p. 1319-1320

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Abstracts of Papers

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p. 1321-1329

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News and Notices

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p. 1330-1337

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Conditional Expectation Given A $\sigma$-Lattice and Applications

Brunk, H. D.

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p. 1339-1350

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An Introduction to Polyspectra

Brillinger, David R.

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p. 1351-1374

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The Robbins-Isbell Two-Armed-Bandit Problem with Finite Memory

Smith, Carter Vincent ; Pyke, Ronald

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p. 1375-1386

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A Bayes Sequential Sampling Inspection Plan

Chernoff, Herman ; Ray, S. N.

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p. 1387-1407

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Markovian Decision Models for the Evaluation of a Large Class of Continuous Sampling Inspection Plans

White, Leon S.

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p. 1408-1420

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Some Applications of Monotone Operators in Markov Processes

MacQueen, J. ; Redheffer, R. M.

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p. 1421-1425

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On the Extrapolation of a Special Class of Stationary Time Series

Trench, William F.

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p. 1426-1432

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Sampling Entropy for Random Homogeneous Systems with Complete Connections

Iosifescu, Marius

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p. 1433-1436

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Limit Theorems for Queues with Traffic Intensity One

Iglehart, Donald L.

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p. 1437-1449

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On Random Sums of Random Vectors

Teicher, Henry

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p. 1450-1458

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On the Generalized Mellin Transform of a Complex Random Variable and Its Applications

Kotlarski, Ignacy

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p. 1459-1467

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Multiparameter Problems From a Bayesian Point of View

Box, G. E. P. ; Tiao, George C.

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p. 1468-1482

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Optimum Designs for Polynomial Extrapolation

Hoel, Paul G.

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p. 1483-1493

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A Method of Sequential Estimation Applicable to the Hypergeometric, Binomial, Poisson, and Exponential Distributions

Knight, William

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p. 1494-1503

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The Effect of Truncation on Tests of Hypotheses for Normal Populations

Williams, Britain J.

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p. 1504-1510

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Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices

Khatri, C. G. ; Pillai, K. C. S.

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p. 1511-1520

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Some Inequalities for Central and Non-Central Distributions

Lawton, William H.

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p. 1521-1525

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Cyclic Designs

David, H. A. ; Wolock, F. W.

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p. 1526-1534

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Generalized Right Angular Designs

Tharthare, Suresh K.

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p. 1535-1553

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On a Problem in Non-Linear Prediction Theory

Robertson, James B.

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p. 1554-1555

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Conditional Expectations of Random Variables Without Expectations

Strauch, R. E.

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p. 1556-1559

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On the Convergence of Ordinary Integrals to Stochastic Integrals

Wong, Eugene ; Zakai, Moshe

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p. 1560-1564

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Asymptotic Properties of an Age Dependent Branching Process

Weiner, H. J.

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p. 1565-1568

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An Integral Equation in Age Dependent Branching Processes

Weiner, H. J.

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p. 1569-1573

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A Note on Queueing Systems with Erlangian Service Time Distributions

Shanbhag, D. N.

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p. 1574-1578

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An Optimal Property of Principal Components

Darroch, J. N.

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p. 1579-1582

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Review: Emanuel Parzen, Stochastic Processes

Smith, Walter L.

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p. 1585-1591

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Abstracts of Papers

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p. 1592-1615

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News and Notices

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p. 1616-1624

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Publications Received

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p. 1624-1625

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On a Theorem of Hoel and Levine on Extrapolation Designs

Kiefer, J. ; Wolfowitz, J.

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p. 1627-1655

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The Moments of the Number of Crossings of a Level by a Stationary Normal Process

Cramer, Harald ; Leadbetter, M. R.

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p. 1656-1663

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The Ergodicity of Series Queues with General Priorities

Johnson, Bruce McK.

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p. 1664-1676

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Markovian Sequential Replacement Processes

Taylor, Howard M.

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p. 1677-1694

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A Dynamic Stochastic Approximation Method

Dupac, Vaclav

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p. 1695-1702

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Peakedness of Distributions of Convex Combinations

Proschan, Frank

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p. 1703-1706

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Admissibility and Bayes Estimation in Sampling Finite Populations. I

Godambe, V. P. ; Joshi, V. M.

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p. 1707-1722

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Admissibility and Bayes Estimation in Sampling Finite Populations. II

Joshi, V. M.

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p. 1723-1729

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Admissibility and Bayes Estimation in Sampling Finite Populations. III

Joshi, V. M.

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p. 1730-1742

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Rate of Convergence in the Compound Decision Problem for Two Completely Specified Distributions

Hannan, J. F. ; Ryzin, J. R. Van

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p. 1743-1752

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A Robust Version of the Probability Ratio Test

Huber, Peter J.

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p. 1753-1758

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Alternative Efficiencies for Signed Rank Tests

Klotz, Jerome

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p. 1759-1766

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Small Sample Power of the One Sample Wilcoxon Test for Non-Normal Shift Alternatives

Arnold, Harvey J.

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p. 1767-1778

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Properties of the Median and Other Order Statistics of Logistic Variates

Tarter, Michael E. ; Clark, Virginia A.

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p. 1779-1786

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Multivariate-Normal Classification with Covariances Known

Ellison, Bob E.

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p. 1787-1793

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A Class of Tests with Monotone Power Functions for Two Problems in Multivariate Statistical Analysis

Mudholkar, Govind S.

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p. 1794-1801

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Some Tests for the Intraclass Correlation Model

Srivastava, M. S.

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p. 1802-1806

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On a Class of Partially Balanced Incomplete Block Designs

Shrikhande, S. S.

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p. 1807-1814

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The Relationship Algebra and the Analysis of Variance of a Partially Balanced Incomplete Block Design

Ogawa, Junjiro ; Ishii, Goro

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p. 1815-1828

Project Euclid
On Hotelling's Weighing Designs Under Autocorrelation of Errors

Banerjee, K. S.

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p. 1829-1834

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Asymptotic Distributions for the Coupon Collector's Problem

Baum, Leonard E. ; Billingsley, Patrick

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p. 1835-1839

Project Euclid
Convergence Rates for the Law of Large Numbers for Linear Combinations of Exchangeable and $^\ast$-Mixing Stochastic Processes

Hanson, D. L. ; Koopmans, L. H.

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p. 1840-1852

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A Uniform Ergodic Theorem

Burke, George

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p. 1853-1858

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A Random Set Process in the Plane with a Markovian Property

Switzer, Paul

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p. 1859-1863

Project Euclid
On an Operator Limit Theorem of Rota

Starr, Norton

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p. 1864-1866

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A Note on the Sequential $t$-Test

Sacks, J.

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p. 1867-1869

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Hypergeometric Functions in Sequential Analysis

Ifram, Adnan F.

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p. 1870-1872

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A Lemma for Multiple Inference

Knight, William

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p. 1873-1874

Project Euclid
On the Distribution of the Latent Vectors for Principal Component Analysis

Sugiyama, T.

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p. 1875-1876

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The Limit of the $n$th Power of a Density

Buehler, Robert J.

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p. 1878-1882

Project Euclid
Principles of Professional Statistical Practice

Deming, W. Edwards

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p. 1883-1900

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Review: Richard E. Barlow, Frank Proschan, Larry C. Hunter, Mathematical Theory of Reliability

McCall, J. J.

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p. 1902-1904

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Abstracts of Papers

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p. 1905-1907

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News and Notices

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p. 1908-1926

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Publications Received

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p. 1926-1927

Project Euclid