Sommaire du Fascicule no. 4

Correction Notes: Correction to "Location and Scale Parameters in Exponential Families of Distributions"

Ferguson, Thomas S.

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Publications Received

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Acknowledgment of Priority: "On Convergence to $ + \infty$ in the Law of Large Numbers"

Baum, Leonard E.

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Correction to "Some Theoretical Aspects of Diffusion Theory in Population Genetics"

Watterson, G. A.

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Acknowledgment of Priority: "Comparison of Least Squares and Minimum Variance Estimates of Regression Parameters

Magness, T. A. ; McGuire, J. B.

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Publications Received

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Correction Notes: Correction to "Testing Approximate Hypotheses in the Composite Case"

Rosenblatt, Judah

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Correction Notes: Correction to "Distribution of a Definite Quadratic Form for Non-central Normal Variates"

Shah, B. K. ; Khatri, C. G.

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Publications Received

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Correction Notes: Correction to "Multivariate Pareto Distributions"

Mardia, K. V.

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Optimum Properties and Admissibility of Sequential Tests

Burkholder, D. L. ; Wijsman, R. A.

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p. 1-17

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On the Optimality of Sequential Probability Ratio Tests

Matthes, Theodore K.

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On the Efficiency of Optimal Nonparametric Procedures in the Two Sample Case

Mikulski, Piotr Witold

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The Sample Mean Among the Extreme Normal Order Statistics

David, Herbert T.

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p. 33-55

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Tests Auxiliary to $\chi^2$ Tests in a Markov Chain

Gold, Ruth Z.

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Selection of the Best Treatment in a Paired-Comparison Experiment

Trawinski, B. J. ; David, H. A.

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p. 75-91

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A Remark on a Paper of Trawinski and David Entitled: "Selection of the Best Treatment in a paired-Comparison Experiment"

Huber, Peter J.

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p. 92-94

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Distribution of the Two-Sample Cramer-Von Mises Criterion for Small Equal Samples

Burr, E. J.

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p. 95-101

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Simplified Estimates for the Exponential Distribution

Sarhan, A. E. ; Greenberg, B. G. ; Ogawa, Junjiro

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Optimum Estimators of the Parameters of Negative Exponential Distributions from One or Two Order Statistics

Siddiqui, M. M.

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p. 117-121

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Asymptotic Theory for Principal Component Analysis

Anderson, T. W.

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On Testing a Set of Correlation Coefficients for Equality

Lawley, D. N.

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Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)

Goodman, N. R.

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p. 152-177

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The Distribution of the Determinant of a Complex Wishart Distributed Matrix

Goodman, N. R.

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p. 178-180

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Some Results on the Distribution of Two Random Matrices Used in Classification Procedures

Kabe, D. G.

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Distribution of Definite and of Indefinite Quadratic Forms from a Non- Central Normal Distribution

Shah, B. K.

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Approximations to Multivariate Normal Orthant Probabilities

Bacon, Ralph Hoyt

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A Definition of Subjective Probability

Anscombe, F. J. ; Aumann, R. J.

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p. 199-205

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On a Class of Stochastic Processes

Lamperti, John

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p. 206-212

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Stochastic Processes on a Sphere

Jones, Richard H.

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p. 213-218

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On Convergence to + $\infty$ in the Law of Large Numbers

Baum, Leonard E.

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Non-Existence of Everywhere Proper Conditional Distributions

Blackwell, D. ; Ryll-Nardzewski, C.

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p. 223-225

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Entropy and Conjugacy

Brown, Thomas A.

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Collapsed Markov Chains and the Chapman-Kolmogorov Equation

Hachigian, Jack

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The Estimation of a Fundamental Interaction Parameter in an Emigration- Immigration Process

Ruben, Harold

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p. 238-259

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Convergence Theorems for Multiple Channel Loss Probabilities

Joffe, A. ; Ney, P. E.

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p. 260-273

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Dynamic Stochastic Processes

Stigum, Bernt P.

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p. 274-283

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A Mathematical Theory of Pattern Recognition

Albert, Arthur

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p. 284-299

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On Queues in Tandem

Masterson, Gregory E. ; Sherman, Seymour

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p. 300-307

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The Poisson Tendency in Traffic Distribution

Breiman, Leo

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The Probability in the Tail of a Distribution

Katz, Melvin L.

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A Characterization of the Uniform Distribution on a Compact Topological Group

Stapleton, James H.

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The Convex Hull of Plane Brownian Motion

Kinney, J. R.

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p. 327-329

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On the Sample Functions of Processes which Can be Added to a Gaussian Process

Pitcher, T. S.

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p. 329-333

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Note on Two Binomial Coefficient Sums Found by Riordan

Gould, H. W.

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Tail Areas of the t-Distribution from a Mills'-Ratio-Like Expansion

Pinkham, R. S. ; Wilk, M. B.

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p. 335-337

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A Finite Criterion for Indecomposable Channels

Thomasian, A. J.

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p. 337-338

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Note on Queues in Tandem

Reich, Edgar

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p. 338-341

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A Note on the Re-Use of Samples

Brillinger, David R.

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On Stochastic Approximations

Friedman, Shmuel

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The Use of the Range in Place of the Standard Deviation in Stein's Test

Knight, William

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p. 346-347

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On Necessary Conditions for the Existence of Some Symmetrical and Unsymmetrical Triangular PBIB Designs and BIB Designs

Seiden, Esther

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p. 348-351

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Review: J. Arthur Greenwood, H. O. Hartley, Guide to Tables in Mathematical Statistics

David, H. A.

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p. 355-358

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News and Notices

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p. 359-374

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Properties of Probability Distributions with Monotone Hazard Rate

Barlow, Richard E. ; Marshall, Albert W. ; Proschan, Frank

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p. 375-389

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A Renewal Theorem for Random Variables which are Dependent or Non-Identically Distributed

Chow, Y. S. ; Robbins, Herbert

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Average Renewal Loss Rates

Johns, M. V. ; Miller, R. G.

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p. 396-401

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Combinatorial Results in Multi-dimensional Fluctuation Theory

Hobby, Charles ; Pyke, Ronald

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p. 402-404

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One Dimensional Random Walk with a Partially Reflecting Barrier

Lehner, G.

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On a Class of Simple Random Walks

Blum, J. R. ; Hanson, D. L. ; Parter, S. V.

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A Markov Process on Binary Numbers

Berman, Simeon M.

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p. 416-423

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Multivariate Wide-sense Markov Processes and Prediction Theory

Beutler, Frederick J.

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p. 424-438

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Central Limit Theorems for Families of Sequences of Random Variables

Eicker, F.

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p. 439-446

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Asymptotic Normality and Consistency of the Least Squares Estimators for Families of Linear Regressions

Eicker, F.

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p. 447-456

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The Limit of a Ratio of Convolutions

Ney, P. E.

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Sequential Model Building for Prediction in Regression Analysis, I

Larson, Harold J. ; Bancroft, T. A.

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p. 462-479

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On the Estimation of the Probability Density, I

Watson, G. S. ; Leadbetter, M. R.

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Necessary and Sufficient Conditions for a Statistical Problem to be Invariant Under a Lie Group

Brillinger, David R.

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Pairwise Comparison and Ranking in Tournaments

Buhlmann, Hans ; Huber, Peter J.

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Pairwise Comparison and Ranking: Optimum Properties of the Row Sum Procedure

Huber, Peter J.

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Sampling Variances of the Estimates of Variance Components in the Unbalanced 3-way Nested Classification

Mahamunulu, D. M.

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On the Duals of Symmetric Partially-Balanced Incomplete Block Designs

Hoffman, A. J.

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Correlations and Canonical Forms of Bivariate Distributions

Lancaster, H. O.

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On the Inadmissibility of Some Standard Estimates in the Presence of Prior Information

Skibinsky, M. ; Cote, L.

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p. 539-548

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A Sequential Decision Procedure for Choosing One of $k$ Hypotheses Concerning the Unknown Mean of a Normal Distribution

Paulson, Edward

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On Testing More than One Hypothesis

Darroch, J. N. ; Silvey, S. D.

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p. 555-567

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The Posterior $t$ Distribution

Stone, M.

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p. 568-573

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Shorter Confidence Intervals for the Mean of a Normal Distribution with Known Variance

Pratt, John W.

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p. 574-586

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Post Cluster Sampling

Ghosh, Sakti P.

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p. 587-597

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Estimates of Location Based on Rank Tests

Hodges, J. L. ; Lehmann, E. L.

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On the Efficiency of Two-sample Mann-Whitney Test for Discrete Populations

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Tests and Confidence Intervals Based on the Metric $d_2^1$

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Small Sample Power and Efficiency for the One Sample Wilcoxon and Normal Scores Tests

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p. 624-632

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On Moments of Order Statistics and Quasi-ranges from Normal Populations

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Conditional Distribution of Order Statistics and Distribution of the Reduced $i$th Order Statistic of the Exponential Model

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Logistic Order Statistics

Birnbaum, Allan ; Dudman, Jack

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On the Line-Graph of the Complete Bigraph

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A General Version of Doeblin's Condition

Isaac, Richard

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A Test for Equality of Means when Covariance Matrices are Unequal

Anderson, T. W.

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Review: Kenneth J. Arrow, Samuel Karlin, Herbert Scarf, Studies in Applied Probability and Management Science

Hadley, George

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Asymptotically Optimum Sequential Inference and Design

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Generalized Bayes Solutions in Estimation Problems

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On a Complete Class of Linear Unbiased Estimators for Randomized Factorial Experiments

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Optimal Strategies in Factorial Experiments

Ehrenfeld, S. ; Zacks, S.

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Probability Integrals of Multivariate Normal and Multivariate $t^1$

Gupta, Shanti S.

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Bibliography on the Multivariate Normal Integrals and Related Topics

Gupta, Shanti S.

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Bayes Estimation with Convex Loss

DeGroot, M. H. ; Rao, M. M.

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On the Sample Size and Coverage for the Jirina Sequential Procedure

Saunders, Sam C.

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Some Applications of the Jirina Sequential Procedure to Observations with Trend

Saunders, Sam C.

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Optimum Stratification with Two Characters

Ghosh, S. P.

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Multivariate Theory for General Stepwise Methods

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Further Examples of Inconsistencies in the Fiducial Argument

Dempster, A. P.

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Chebyshev Polynomial and Other New Approximations to Mills' Ratio

Ray, W. D. ; Pitman, A. E. N. T.

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Properties of Generalized Rayleigh Distributions

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Maximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables

Good, I. J.

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On the Independence of Certain Wishart Variables

Hogg, Robert V.

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Elliptical and Radial Truncation in Normal Populations

Tallis, G. M.

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Testing Homogeneity Against Ordered Alternatives

Chacko, V. J.

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Robust Estimation in Analysis of Variance

Lehmann, E. L.

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Estimating Ordered Probabilities

Katz, Morris W.

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Rank Tests of Dispersion

Moses, Lincoln E.

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Comparison of the Variance of Minimum Variance and Weighted Least Squares Regression Coefficients

Golub, Gene H.

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On the Limit Behaviour of Extreme Order Statistics

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The First Passage Time Density for Homogeneous Skip-free Walks on the Continuum

Keilson, Julian

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Estimation of the Cross-Spectrum

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Functions of Finite Markov Chains

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Sufficient Conditions for a Stationary Process to be a Function of a Finite Markov Chain

Dharmadhikari, S. W.

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On the Influence of Moments on the Asymptotic Distribution of Sums of Random Variables

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On the Integrability, Continuity and Differentiability of a Family of Functions Introduced by L. Takacs

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Minimum Variance Unbiased Estimation and Certain Problems of Additive Number Theory

Patil, G. P.

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Right Angular Designs

Tharthare, Suresh K.

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On Estimates for Fractions of a Complete Factorial Experiment as Orthogonal Linear Combinations of the Observations

Banerjee, K. S. ; Federer, W. T.

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p. 1068-1078

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Asymptotic Solutions of the Sequential Compound Decision Problem

Samuel, Ester

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Note on a Sequential Classification Problem

Samuel, Ester

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Note on a Conditional Property of Student's $t^1$

Buehler, R. J. ; Feddersen, A. P.

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p. 1098-1100

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On a Modification of Certain Rank Tests

Tamura, Ryoji

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Note on Extreme Values, Competing Risks and Semi-Markov Processes

Berman, Simeon M.

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Note on the Berry-Esseen Theorem

Katz, Melvin L.

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Bounds for the Frequency of Misleading Bayes Inferences

Kerridge, D.

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Conditioned Limit Theorems

Dwass, Meyer ; Karlin, Samuel

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A Wiener-Hopf Type Method for a General Random Walk with a Two-Sided Boundary

Kemperman, J. H. B.

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Invariants Under Mixing Which Generalize de Finetti's Theorem: Continuous Time Parameter

Freedman, David A.

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Poisson Counts for Random Sequences of Events

Kingman, J. F. C.

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Combinatorial Results in Fluctuation Theory

Hobby, Charles ; Pyke, Ronald

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The Autocorrelation Function of a Sequence Uniformly Distributed Modulo 1

Jagerman, David L.

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p. 1243-1252

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The Degree of Randomness in a Stationary Time Series

Moore, Calvin C.

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The Covariance Matrix of a Continuous Autoregressive Vector Time-Series

Franklin, Joel N.

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Identifiability of Finite Mixtures

Teicher, Henry

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p. 1265-1269

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Some Non-Central Distribution Problems in Multivariate Analysis

Constantine, A. G.

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p. 1270-1285

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An Asymptotic Expansion for the Distribution of the Linear Discriminant Function

Okamoto, Masashi

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p. 1286-1301

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Asymptotic Expansions for a Class of Distribution Functions

Chanda, K. C.

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On Approximations to Sampling Distributions of the Mean for Samples From Non-Normal Populations

Reitsma, A.

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p. 1308-1314

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Correlation and Complete Dependence of Random Variables

Lancaster, H. O.

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p. 1315-1321

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Multiplex Sampling

Evans, David H.

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p. 1322-1346

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Efficient Utilization of Non-Numerical Information in Quantitative Analysis General Theory and the Case of Simple Order

Abelson, Robert P. ; Tukey, John W.

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p. 1347-1369

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An Empirical Bayes Approach to the Testing of Certain Parametric Hypotheses

Samuel, Ester

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p. 1370-1385

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

Freedman, David A.

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p. 1386-1403

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A Modified Bayes Stopping Rule

Amster, Sigmund J.

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On a Paradox Concerning Inference About a Convariance Matrix

Dempster, A. P.

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Estimation of One or Two Parameters of the Exponential Distribution on the Basis of Suitably Chosen Order Statistics

Kulldorff, Gunnar

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p. 1419-1431

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The Limiting Power of Categorical Data Chi-Square Tests Analogous to Normal Analysis of Variance

Diamond, Earl L.

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p. 1432-1441

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The Relation Between Pitman's Asymptotic Relative Efficiency of Two Tests and the Correlation Coefficient Between Their Test Statistics

Eeden, Constance Van

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p. 1442-1451

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On Multistage Estimation

Blum, J. R. ; Rosenblatt, Judah

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p. 1452-1458

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On an Analog of Regression Analysis

Bhattacharya, P. K.

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p. 1459-1473

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Existence of Bounded Length Confidence Intervals

Singh, Rajinder

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p. 1474-1485

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An Asymptotically Optimal Sequential Design for Comparing Several Experimental Categories with a Control

Roberts, Charles DeWitt

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p. 1486-1493

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Asymptotically Nonparametric Inference: An Alternative Approach to Linear Models

Lehmann, E. L.

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p. 1494-1506

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Nonparametric Confidence Intervals for a Shift Parameter

Lehmann, E. L.

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p. 1507-1512

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The Asymptotic Normality of Two Test Statistics Associated with the Two-Sample Problem

Blumenthal, Saul

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p. 1513-1523

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Minimax Character of Hotelling's $T^2$ Test in the Simplest Case

Giri, N. ; Kiefer, J. ; Stein, C.

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p. 1524-1535

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Minimax Theorems on Conditionally Compact Sets

Tjoe-Tie, Teh

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p. 1536-1540

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Existence, Uniqueness and Monotonicity of Sequential Probability Ratio Tests

Wijsman, R. A.

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p. 1541-1548

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Almost Periodic Variances

Herbst, Laurence

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p. 1549-1557

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On the Null-Distribution of the $F$-Statistic in a Randomized Balanced Incomplete Block Design Under the Neyman Model

Ogawa, Junjiro

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p. 1558-1568

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Some Consequences of randomization in a Generalization of the Balanced Incomplete Block Design

Zyskind, George

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p. 1569-1581

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A New Result on the Distribution of Quadratic Forms

Ruben, Harold

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p. 1582-1584

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The Conditional Distribution of Sets of Tests on a System Simulated From Tests on its Components

Connor, W. S.

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p. 1585-1587

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Application of Methods in Sequential Analysis to Dam Theory

Phatarfod, R. M.

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p. 1588-1592

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Normal Approximation to the Distribution of Two Independent Binomials, Conditional on Fixed Sum

Hannan, J. ; Harkness, W.

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p. 1593-1595

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Use of the Wilcoxon Statistic for a Generalized Behrens-Fisher Problem

Potthoff, Richard F.

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p. 1596-1599

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A Combinatorial Theorem for Partial Sums

Graham, R. L.

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p. 1600-1602

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Review: E. B. Dynkin, D. E. Brown, Theory of Markov Processes; E.B. Dynkin, Joseph Wloka, Die Grundlagen der Theorie der Markoffschen Prozesse

Pyke, Ronald

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p. 1604-1609

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Review: Thomas L. Saaty, Elements of Queueing Theory, with Applications

Benes, V. E.

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p. 1610-1612

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Review: Marvin Zelen, Statistical Theory of Reliability

Madansky, Albert

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p. 1613-1614

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Abstracts of Papers

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p. 1615-1629

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News and Notices

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p. 1630-1659

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