Sommaire du Fascicule no. 6

Acknowledgment of Priority: On Interchanging Limits and Integrals

Pratt, John W.

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Publications Received

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Correction Notes: Correction to Generalized Polykays, an Extension of Simple Polykays and Bipolykays

Dayhoff, Eugene

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Correction Notes: Correction to "A Continuous Kiefer-Wolfowitz Procedure for Random Processes"

Sakrison, David J.

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Invariance of Maximum Likelihood Estimators

Zehna, Peter W.

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Review: Norman T. J. Bailey, The Elements of Stochastic Processes with Applications to the Natural Sciences

Striebel, Charlotte

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Correction Note: Correction to Multivariate Beta Distributions and Independence Properties of the Wishart Distribution

Olkin, Ingram ; Rubin, Herman

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A Note on Upcrossings of Semimartingales

Dubins, Lester E.

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Correction Note: Correction to Abstract "A Test of Inflation in Poisson Distribution"

Singh, S. N.

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On a Theorem of Bahadur and Goodman

Lehmann, E. L.

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p. 1-6

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Optimal Stopping and Experimental Design

Haggstrom, Gus W.

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p. 7-29

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On Optimal Stopping

Yahav, Joseph A.

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p. 30-35

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The Performance of a Sequential Procedure for the Fixed-Width Interval Estimation of the Mean

Starr, Norman

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p. 36-50

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Limiting Behavior of Posterior Distributions when the Model is Incorrect

Berk, Robert H.

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p. 51-58

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A Statistical Basis for Approximation and Optimization

Rich, R. N.

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p. 59-65

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Designs for Regression Problems with Correlated Errors

Sacks, Jerome ; Ylvisaker, Donald

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p. 66-89

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Sequential Hypothesis Tests for $r$-Dependent Marginally Stationary Processes

Tainiter, M.

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p. 90-97

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Fine Structure of the Ordering of Probabilities of Rank Orders in the Two Sample Case

Savage, I. Richard ; Sobel, Milton ; Woodworth, George

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p. 98-112

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On the Problem of Testing Location in Multivariate Populations for Restricted Alternatives

Nuesch, Peter E.

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p. 113-119

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"Optimal" One-Sample Distribution-Free Tests and Their Two-Sample Extensions

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

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p. 120-132

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Goodness Criteria for Two-Sample Distribution-Free Tests

Bell, C. B. ; Moser, J. M. ; Thompson, Rory

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p. 133-142

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Asymptotic Optimum Quantiles for the Estimation of the Parameters of the Negative Exponential Distribution

Saleh, A. K. Md. Ehsanes ; Ali, Mir M.

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p. 143-151

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Scale Parameter Estimation from the Order Statistics of Unequal Gamma Components

Wilk, M. B. ; Gnanadesikan, R. ; Lauh, Elizabeth

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p. 152-176

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On the Estimation of Mixing Distributions

Boes, D. C.

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p. 177-188

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On a Class of Admissible Partitions

Cacoullos, T.

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p. 189-195

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Statistical Reproduction of Orderings and Translation Subfamilies

Konijn, H. S.

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p. 196-202

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Statistical Isomorphism

Morse, Norman ; Sacksteder, Richard

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p. 203-214

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The Distribution of Hotelling's Generalised $T_0^2$

Constantine, A. G.

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p. 215-225

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Generalized Polykays, an Extension of Simple Polykays and Bipolykays

Dayhoff, Eugene

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p. 226-241

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Cylindrically Rotatable Designs

Herzberg, Agnes M.

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p. 242-247

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On a Chebyshev-Type Inequality for Sums of Independent Random Variables

Samuels, S. M.

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p. 248-259

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On Crossings of Levels and Curves by a Wide Class of Stochastic Processes

Leadbetter, M. R.

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p. 260-267

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Equivalence and Singularity for Friedman Urns

Freedman, David A.

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p. 268-270

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On Absolutely Continuous Components and Renewal Theory

Stone, Charles

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p. 271-275

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A Note on Memoryless Rules for Controlling Sequential Control Processes

Derman, Cyrus ; Strauch, Ralph E.

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p. 276-278

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A Note on Minimum Discrimination Information

Kullback, S. ; Khairat, M. A.

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p. 279-280

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On Mixtures of Distributions

Molenaar, W. ; van Zwet, W. R.

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p. 281-283

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Recursive Generation of the Distribution of the Mann-Whitney-Wilcoxon U-Statistic Under Generalized Lehmann Alternatives

Shorack, Roger A.

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p. 284-286

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A Note on "A $k$-Sample Model in Order Statistics" by W. J. Conover

David, H. A.

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p. 287-288

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Another Characteristic Property of the Cauchy Distribution

Menon, M. V.

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p. 289-294

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On Idempotent Matrices

Loynes, R. M.

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p. 295-296

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Review: Richard Bellman, Stochastic Processes in Mathematical Physics and Engineering

Rosenblatt, M.

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p. 298-300

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Review: Kenneth S. Miller, Multidimensional Gaussian Distributions

Ruben, Harold

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p. 301-307

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Review: Frederick Mosteller, David L. Wallace, Inference and Disputed Authorship: The Federalist

Watson, G. S.

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p. 308-312

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Abstracts of Papers

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p. 313-315

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News and Notices

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p. 316-318

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Publications Received

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p. 318-319

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Radon-Nikodym Derivatives of Gaussian Measures

Shepp, L. A.

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p. 321-354

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New Methods for Reasoning Towards Posterior Distributions Based on Sample Data

Dempster, A. P.

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p. 355-374

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A Note on Mutual Singularity of Priors

Freedman, David A.

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p. 375-381

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On the Moments of Some One-sided Stopping Rules

Chow, Y. S.

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p. 382-387

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On Second Moments of Stopping Rules

Chow, Y. S. ; Teicher, H.

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p. 388-392

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Limiting Distributions for Some Random Walks Arising in Learning Models

Norman, M. Frank

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p. 393-405

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A System of Denumerably Many Transient Markov Chains

Port, S. C.

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p. 406-411

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The Compound Decision Problem with $m \times n$ Finite Loss Matrix

Ryzin, J. R. Van

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p. 412-424

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On the Sample Size and Simplification of a Class of Sequential Probability Ratio Tests

Ifram, Adnan F.

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p. 425-434

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On a Minimal Essentially Complete Class of Experiments

Ehrenfeld, Sylvain

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p. 435-440

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On the Effect of Stragglers on the Risk of Some Mean Estimators in Small Samples

Gebhardt, Friedrich

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p. 441-450

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Estimation of Non-Unique Quantiles

Feldman, Dorian ; Tucker, Howard G.

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p. 451-457

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All Admissible Linear Estimates of the Mean Vector

Cohen, Arthur

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p. 458-463

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A Note on the Sphericity Test

Gleser, Leon J.

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p. 464-467

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On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors

Khatri, C. G.

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p. 468-479

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Linear Combinations of Non-Central Chi-Square Variates

Press, Sheldon James

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p. 480-487

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Some Equivalence Classes in Paired Comparisons

Kadane, Joseph B.

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p. 488-494

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Probabilistic Completion of a Knockout Tournament

Hartigan, J. A.

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p. 495-503

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Infinitely Differentiable Positive Definite Functions

Ganser, C. C.

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p. 504-508

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A Family of Combinatorial Identities

Harper, Lawrence H.

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p. 509-512

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A Note on the Maximum Sample Excursions of Stochastic Approximation Processes

Kushner, Harold J.

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p. 513-516

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On the Mean Duration of a Ball and Cell Game; A First Passage Problem

Dym, Harry ; Luks, Eugene M.

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p. 517-521

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A Note on Limit Theorems for the Entropy of Markov Chains

Dym, Harry

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p. 522-524

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Some Generalizations of Distinct Representatives with Applications to Statistical Designs

Agrawal, Hiralal

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p. 525-528

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Review: N. U. Prabhu, Queues and Inventories

Moran, P. A. P.

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p. 529-530

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Review: J. M. Hammersley, D. C. Handscomb, Monte Carlo Methods; Yu. A. Shreider, Methods of Statistical Testing/Monte Carlo Method

Muller, Mervin E.

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p. 532-538

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Abstracts of Papers

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p. 539-555

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News and Notices

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p. 556-564

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Publications Received

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p. 564-565

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Convergence of Quadratic Forms in Independent Random Variables

Varberg, Dale E.

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p. 567-576

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A Note on Quantiles in Large Samples

Bahadur, R. R.

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p. 577-580

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Bounded Length Confidence Intervals for the $p$-Point of a Distribution Function, II

Farrell, R. H.

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p. 581-585

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Bounded Length Confidence Intervals for the $p$-Point of a Distribution Function, III

Farrell, R. H.

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p. 586-592

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On Some Nonparametric Estimates for Shift in the Behrens-Fisher Situation

Ramachandramurty, P. V.

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p. 593-610

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Multivariate Nonparametric Several-Sample Tests

Tamura, Ryoji

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p. 611-618

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Asymptotically Minimax Distribution-free Procedures

Doksum, Kjell

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p. 619-628

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Admissibility of Confidence Intervals

Joshi, V. M.

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p. 629-638

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Bounds on the Distribution Functions of the Behrens-Fisher Statistic

Mickey, M. Ray ; Brown, Morton B.

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p. 639-642

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Fiducial Theory and Invariant Estimation

Hora, R. B. ; Buehler, R. J.

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p. 643-656

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Polychotomy Sampling

Ghosh, Sakti P.

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p. 657-665

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Some Non-Orthogonal Partitions of $4 \times 4, 5 \times 5$ and $6 \times 6$ Latin Squares

Freeman, G. H.

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p. 666-681

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On a Theorem of Cramer and Leadbetter

Ylvisaker, N. Donald

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p. 682-685

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On Two Equivalence Relations between Measures

Freedman, David A.

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p. 686-689

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On the Semimartingale Convergence Theorem

Johansen, S. ; Karush, J.

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p. 690-694

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A Theorem on the Galton-Watson Process

Stigum, Bernt P.

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p. 695-698

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Some Renewal Theorems with Application to a First Passage Problem

Heyde, C. C.

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p. 699-710

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Convergence Rates for the Law of Large Numbers for Linear Combinations of Markov Processes

Koopmans, L. H.

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p. 711-719

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A Simple Solution for Optimal Chebyshev Regression Extrapolation

Hoel, Paul G.

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p. 720-725

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Remark on the Optimum Character of the Sequential Probability Ratio Test

Wolfowitz, J.

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p. 726-727

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A Note on Invariant Measures

Jain, N. C.

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p. 729-732

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A Note on Recurrence Relations between Expected Values of Functions of Order Statistics

Krishnaiah, P. R. ; Rizvi, M. Haseeb

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p. 733-734

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An Asymptotically Distribution-free Multiple Comparison Procedure- Treatments vs. Control

Hollander, Myles

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p. 735-738

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Comparison of the Bounds of the Number of Common Treatments between Blocks of Certain Partially Balanced Incomplete Block Designs

Agrawal, Hira Lal

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p. 739-740

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Sequential Counterbalancing in Latin Squares

Houston, Tom R.

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p. 741-743

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Correction Notes: Correction to Limiting Behavior of Posterior Distributions when the Model is Incorrect

Berk, Robert H.

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p. 745-746

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Review: Richard von Mises, Hilda Geiringer, Mathematical Theory of Probability and Statistics

Lindley, D. V.

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p. 747-754

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Review: Klaus Krickeberg, Probability Theory

Hanson, D. L.

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p. 755-756

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Review: L. N. Bolshev, V. N. Smirnov, Mathematical Statistical Tables

Owen, D. B.

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p. 757-758

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Abstracts of Papers

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p. 759-775

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News and Notices

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p. 776-781

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Optimal Experimental Designs

Karlin, Samuel ; Studden, William J.

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p. 783-815

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A Stochastic Characterization of Wear-out for Components and Systems

Birnbaum, Z. W. ; Esary, J. D. ; Marshall, A. W.

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p. 816-825

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Some Properties of Statistical Reliability Functions

Carlsson, Siv ; Grenander, Ulf

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p. 826-836

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Invariant Probabilities for Certain Markov Processes

Dubins, Lester E. ; Freedman, David A.

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p. 837-848

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Dimensional Properties of a Random Distribution Function on the Square

Kinney, J. R. ; Pitcher, T. S.

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p. 849-854

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A Local Limit Theorem for a Certain Class of Random Walks

Rosenkrantz, Walter A.

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p. 855-859

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Limit Theorems for Stopped Random Walks II

Farrell, R. H.

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p. 860-865

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A Limit Theorem for Passage Times in Ergodic Regenerative Processes

Keilson, Julian

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p. 866-870

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Negative Dynamic Programming

Strauch, Ralph E.

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p. 871-890

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Comparisons of Some Two Stage Sampling Methods

Goldman, Aaron S. ; Zeigler, R. K.

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p. 891-897

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A Problem in Minimax Variance Polynomial Extrapolation

Levine, A.

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p. 898-903

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Contributions to Sample Spacings Theory, I: Limit Distributions of Sums of Ratios of Spacings

Blumenthal, Saul

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p. 904-924

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Contributions to Sample Spacings Theory, II: Tests of the Parametric Goodness of Fit and Two-sample Problems

Blumenthal, Saul

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p. 925-939

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On the Pitman Efficiency of One-sided Kolmogorov and Smirnov Tests for Normal Alternatives

Ramachandramurty, P. V.

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p. 940-944

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Exact Power of Mann-Whitney Test for Exponential and Rectangular Alternatives

Haynam, George E. ; Govindarajulu, Zakkula

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p. 945-953

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The Sequential Compound Decision Problem with $m \times n$ Finite Loss Matrix

Ryzin, J. Van

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p. 954-975

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Repetitive Play in Finite Statistical Games with Unknown Distributions

Ryzin, J. Van

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p. 976-994

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On the Distribution of the Largest Latent Root and the Corresponding Latent Vector for Principal Component Analysis

Sugiyama, T.

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p. 995-1001

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On the Bivariate Moments of Order Statistics from a Logistic Distribution

Shah, B. K.

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p. 1002-1010

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Characterization of Normal and Generalized Truncated Normal Distributions Using Order Statistics

Govindarajulu, Zakkula

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p. 1011-1015

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On the Block Structure of Certain Partially Balanced Incomplete Block Designs

Shah, S. M.

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p. 1016-1020

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Singularity in Hotelling's Weighing Designs and a Generalized Inverse

Banerjee, K. S.

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p. 1021-1032

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On Estimation and Construction in Fractional Replication

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

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p. 1033-1039

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The Growth of a Recurrent Random Walk

Stone, Charles

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p. 1040-1041

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A Note on Undiscounted Dynamic Programming

Maitra, Ashok

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p. 1042-1044

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A Note on a Biased Estimator in Sampling with Probability Proportional to Size with Replacement

Subrahmanya, M. T.

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p. 1045-1047

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Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems

Raghavarao, Damaraju

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p. 1048-1052

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Correction Note: Correction to On the Asymptotic Theory of Fixed-Size Sequential Confidence Bounds for Linear Regression Parameters

Gleser, Leon Jay

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p. 1053-1055

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Review: Dennis V. Lindley, Introduction to Probability and Statistics from a Bayesian Viewpoint, Vols. 1 and 2

Chernoff, Herman

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p. 1056-1059

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Review: K. Ito, H. P. Mc Kean, Diffusion Processes and their Sample Paths

Spitzer, F.

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p. 1060-1062

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Review: J. Kubilius, Gretchen Burgie, Susan Schuur, Probabilistic Methods in the Theory of Numbers

LeVeque, W. J.

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p. 1063-1065

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Abstracts of Papers

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p. 1066-1078

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News and Notices

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p. 1079-1085

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Publications Received

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p. 1085-1086

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On the Admissibility of Invariant Estimators of One or More Location Parameters

Brown, Lawrence David

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p. 1087-1136

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Some Concepts of Dependence

Lehmann, E. L.

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p. 1137-1153

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Stopping Time of a Rank-Order Sequential Probability Ratio Test Based on Lehmann Alternatives

Savage, I. Richard ; Sethuraman, J.

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p. 1154-1160

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Most Stringent Somewhere Most Powerful Tests Against Alternatives Restricted by a Number of Linear Inequalities

Schaafsma, W. ; Smid, L. J.

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p. 1161-1172

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On the Asymptotic Efficiency of a Sequential Procedure for Estimating the Mean

Starr, Norman

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p. 1173-1185

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Bayes and Minimax Procedures for Estimating the Arithmetic Mean of a Population with Two-stage Sampling

Aggarwal, Om P.

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p. 1186-1195

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Test Procedures for Possible Changes in Parameters of Statistical Distributions Occurring at Unknown Time Points

Kander, Z. ; Zacks, S.

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p. 1196-1210

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A Limit Theorem for Multidimensional Galton-Watson Processes

Kesten, H. ; Stigum, B. P.

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p. 1211-1223

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Some Limit Theorems for Non-homogeneous Markov Chains

Rosenblatt-Roth, Millu

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p. 1224-1236

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Spectral Estimates Using Nonlinear Functions

Rodemich, Eugene R.

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p. 1237-1256

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Asymptotic Normality of Bispectral Estimates

Ness, John W. Van

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p. 1257-1272

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Perfect Probability Measures and Regular Conditional Probabilities

Rodine, Robert H.

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p. 1273-1278

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A Representation for Conditional Expectations Given $\sigma$-Lattices

Robertson, Tim

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p. 1279-1283

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On Finding Optimal Policies in Discrete Dynamic Programming with No Discounting

Veinott, Arthur F.

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p. 1284-1294

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Statistical Properties of the Number of Positive Sums

Woodroofe, Michael

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p. 1295-1304

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A Statistical Test Involving a Random Number of Random Variables

Allen, J. L. ; Beekman, J. A.

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p. 1305-1311

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On the Moments of the Trace of a Matrix and Approximations to Its Non- Central Distribution

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

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p. 1312-1318

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On the Exact Distributions of the Likelihood Ratio Criteria for Testing Linear Hypotheses About Regression Coefficients

Consul, P. C.

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p. 1319-1330

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Robust Estimation in Incomplete Blocks Designs

Greenberg, Vida L.

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p. 1331-1337

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On Combinability of Information from Uncorrelated Linear Models by Simple Weighting

Martin, Frank B. ; Zyskind, George

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p. 1338-1347

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Inductive Methods for Balanced Incomplete Block Designs

Stanton, R. G. ; Mullin, R. C.

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p. 1348-1354

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On Orthogonal Arrays

Seiden, Esther ; Zemach, Rita

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p. 1355-1370

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Weighing Designs when $n$ is Odd

Rao, M. Bhaskar

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p. 1371-1381

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Randomized Fractional Weighing Designs

Zacks, S.

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p. 1382-1395

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A Sample Function Property of Martingales

Austin, D. G.

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p. 1396-1397

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On the Block Structure of Singular Group Divisible Designs

Kapadia, C. H.

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p. 1398-1400

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On Partially Linked Block Designs

Nair, C. Ramankutty

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p. 1401-1406

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Review: E. B. Dynkin, J. Fabins, V. Greenberg, A. Maitra, G. Majone, Markov Processes, Volumes I and II

Getoor, Ronald K.

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p. 1408-1409

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Review: W. Smith, W. Wilkinson, Proceedings of Symposium on Congestion Theory

Ney, Peter

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p. 1410-1411

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Review: Ralph Deutsch, Estimation Theory

Middleton, David

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p. 1412-1413

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Abstracts of Papers

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p. 1414-1433

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News and Notices

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p. 1434-1436

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Publications Received

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p. 1436-1437

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The Existence and Uniqueness of Stationary Measures for Markov Renewal Processes

Pyke, Ronald ; Schaufele, Ronald

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p. 1439-1462

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Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes

Kesten, H. ; Stigum, B. P.

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p. 1463-1481

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Some Convergence Theorems for Independent Random Variables

Chow, Y. S.

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p. 1482-1493

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Martingale Transforms

Burkholder, D. L.

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p. 1494-1504

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On the Expected Value of a Stopped Martingale

Dubins, Lester E. ; Freedman, David A.

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p. 1505-1509

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Limit Theorems for Stopped Random Walks III

Farrell, R. H.

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p. 1510-1527

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On a Factor Automorphism of a Normal Dynamical System

Newton, D. ; Parry, W.

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p. 1528-1533

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On Dvoretzky Stochastic Approximation Theorems

Venter, J. H.

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p. 1534-1544

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Denumerable State Markovian Decision Processes-Average Cost Criterion

Derman, Cyrus

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p. 1545-1553

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Statistical Inference for Probabilistic Functions of Finite State Markov Chains

Baum, Leonard E. ; Petrie, Ted

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p. 1554-1563

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Estimating and Testing Trend in a Stochastic Process of Poisson Type

Boswell, M. T.

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p. 1564-1573

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Inequalities for Linear Combinations of Order Statistics from Restricted Families

Barlow, Richard E. ; Proschan, Frank

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p. 1574-1592

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Tolerance and Confidence Limits for Classes of Distributions Based on Failure Rate

Barlow, Richard E. ; Proschan, Frank

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p. 1593-1601

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Fixed Size Confidence Ellipsoids for Linear Regression Parameters

Albert, Arthur

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p. 1602-1630

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On the Property (W) of the Class of Statistical Decision Functions

Kudo, Hirokichi

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p. 1631-1642

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Minimax Solution of Statistical Decision Problems by Iteration

Nelson, Wayne

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p. 1643-1657

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Admissibility and Bayes Estimation in Sampling Finite Populations-IV

Joshi, V. M.

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p. 1658-1670

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Unbiased Estimation of Location and Scale Parameters

Ghosh, J. K. ; Singh, Rajinder

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p. 1671-1675

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On the Asymptotic Efficiency of Least Squares Estimators

Villegas, C.

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p. 1676-1683

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Quasi-Linearly Invariant Prediction

de Oliveira, J. Tiago

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p. 1684-1687

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Sequential Estimation of the Mean of a Log-Normal Distribution Having a Prescribed Proportional Closeness

Zacks, S.

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p. 1688-1696

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On Randomized Rank Score Procedures of Bell and Doksum

Jogdeo, Kumar

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p. 1697-1703

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Likelihood Ratio Computations of Operating Characteristics

Lawing, William D. ; David, H. T.

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p. 1704-1716

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Estimation of the Parameters of the Exponential Distribution Based on Optimum Order Statistics in Censored Samples

Saleh, A. K. Md. Ehsanes

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p. 1717-1735

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On Confidence Bounds Associated with Multivariate Analysis of Variance and Non-Independence Between Two Sets of Variates

Mudholkar, Govind S.

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p. 1736-1746

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On Analysis of Variance for the $K$-Sample Problem

Quade, Dana

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p. 1747-1758

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On a Distribution-free Method of Estimating Asymptotic Efficiency of a Class of Non-parametric Tests

Sen, Pranab Kumar

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p. 1759-1770

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A Bivariate Sign Test for Location

Chatterjee, Shoutir Kishore

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p. 1771-1782

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A Note on Construction of Partially Balanced Incomplete Block Designs with Parameters $v = 28, n_1 = 12, n_2 = 15$ and $p^2_{11} = 4^1$

Seiden, Esther

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p. 1783-1789

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Characterization of Geometric and Exponential Distributions

Crawford, Gordon B.

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p. 1790-1795

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The Probability that a Random Game is Unfair

Cover, Thomas M.

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p. 1796-1799

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Convergence Properties of Convergence with Probability One

Denny, J. L.

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p. 1800-1802

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On Moments of Cumulative Sums

Ericson, Ragnar

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p. 1803-1805

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Monotone Convergence of Moments in Age Dependent Branching Processes

Weiner, Howard J.

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p. 1806-1808

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On a Theorem of Karlin Regarding Admissibility of Linear Estimates in Exponential Populations

Morton, Richard ; Raghavachari, M.

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p. 1809-1813

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On the Hodges and Lehmann Shift Estimator in the Two Sample Problem

Fine, Terrence

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p. 1814-1818

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Estimating the Mean of a Multivariate Normal Population with General Quadratic Loss Function

Bhattacharya, P. K.

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p. 1819-1824

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A Multivariate Central Limit Theorem for Random Linear Vector Forms

Eicker, F.

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p. 1825-1828

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A Characteristic Property of the Multivariate Normal Distribution

Seshadri, V.

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p. 1829-1831

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Comparison of Combined Estimators in Balanced Incomplete Blocks

Seshadri, V.

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p. 1832-1835

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On Non-randomized Fractional Weighing Designs

Banerjee, K. S.

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p. 1836-1841

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On Identity Relationships for $2_{n - r}$ Designs Having Words of Equal Length

John, Peter W. M.

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p. 1842-1843

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Note on a Theorem of Kingman and a Theorem of Chung

Vere-Jones, D.

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p. 1844-1846

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Review: D. R. Cox, H. D. Miller, The Theory of Stochastic Processes

Prabhu, N. U.

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p. 1848-1851

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Review: D. R. Cox, P. A. W. Lewis, The Statistical Analysis of Series of Events

Hannan, E. J.

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p. 1852-1853

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Review: G. De Leve, Generalized Markovian Decision Processes-Parts I and II

Derman, Cyrus

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p. 1854-1855

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Review: Paul A. Meyer, Probability and Potentials

Knight, Frank

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p. 1856-1857

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Abstracts

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p. 1858-1866

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News and Notices

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p. 1867-1887

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Publications Received

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p. 1887-1888

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