Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics

Fourth Berkeley Symposium on Mathematical Statistics and Probability

June 20-July 30, 1960 | Statistical Laboratory of the University of California, Berkeley

Editor(s) Jerzy Neyman

Berkeley Symp. on Math. Statist. and Prob., 4.1: 767pp. (1961).

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Berkeley Symposium on Mathematical Statistics and Probability, Volume 4.1

767 pp.

Published: 1961

First available in Project Euclid: 17 January 2008

Keywords: Mathematical statistics--Congresses , Probabilities

Berkeley Symposium on Mathematical Statistics and Probability

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University of California Press

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Miscellaneous front pages, Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1: Contributions to the Theory of Statistics

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, - (1961). Open Access

Examination of Residuals

F. J. Anscombe

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 1-36 (1961). Open Access

KEYWORDS: Skewness, Kurtosis, Design of experiments, Regression diagnostics, Heteroscedasticity, Nonadditivity, 62.56

A Mathematical Formulation of Variational Processes of Adaptive Type

Richard Bellman

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 37-48 (1961). Open Access

KEYWORDS: Calculus of variations, Feedback control process, Learning process, Information theory, Sufficiency, 93.70

On the Probabilistic Theory of Complex Structures

Z. W. Birnbaum

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 49-55 (1961). Open Access

KEYWORDS: Combinatorics, Reliability function, Failure analysis, 62.80

Exponential Error Bounds for Finite State Channels

David Blackwell

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 57-63 (1961). Open Access

KEYWORDS: Information theory, Markov process, 94.10

Optimal Gambling Systems for Favorable Games

L. Breiman

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 65-78 (1961). Open Access

KEYWORDS: Asymptotics, 90.72

Sequential Tests for the Mean of a Normal Distribution

Herman Chernoff

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 79-91 (1961). Open Access

KEYWORDS: Diffusion equation, Free boundary problem, Wiener process, 62.45

A Martingale System Theorem and Applications

Y. S. Chow , Herbert Robbins

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 93-104 (1961). Open Access

KEYWORDS: Sequential decision problem, Game theory, 60.40

Tests of Separate Families of Hypotheses

D. R. Cox

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 105-123 (1961). Open Access

KEYWORDS: Likelihood ratio, Koopman-Darmois family of distributions, Regression, 62.25

On Plane Sampling and Related Geometrical Problems

Tore Dalenius , Jaroslav Hájek , Stefan Zubrzycki

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 125-150 (1961). Open Access

KEYWORDS: Geometric probability, Isomorphic plane stochastic process, Isotropic convex correlation function, Spectral representation, Covering a plane by circles, 62.90

The Asymptotic Efficiency of a Maximum Likelihood Estimator

H. E. Daniels

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 151-163 (1961). Open Access

KEYWORDS: Convexity, Consistency, Smoothed estimator, 62.16

On the Solution of Two-stage Linear Programs under Uncertainty

George B. Dantzig , Albert Medansky

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 165-176 (1961). Open Access

KEYWORDS: Inventory problem, Expected value of price, Stochastic linear program, 90.0X

Rank Correlation and Regression in a Nonnormal Surface

F. N. David , Evelyn Fix

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 177-197 (1961). Open Access

KEYWORDS: Double gamma distribution, Skewness, Spearman rank correlation, Cloud seeding data, 62.70

The Bayesian Approach to the Rejection of Outliers

Bruno De Finetti

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 199-210 (1961). Open Access

KEYWORDS: Exchangeability, Partial exchangeability, 62.35

Mathematical Problems in the Shannon Theory of Optimal Coding of Information

R. L. Dobrushin

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 211-252 (1961). Open Access

KEYWORDS: Markov chain, Information stability, W-entropy, Random coding, Gaussian memoryless channel, 90.10

On the Rejection of Outliers

Thomas S. Ferguson

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 253-287 (1961). Open Access

KEYWORDS: Skewness, Kurtosis, Studentized residual

Hypothesis Testing and Estimation for Laplacian Functions

R. Fortet

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 289-305 (1961). Open Access

KEYWORDS: Regular conditional probability, Information theory, Sufficient estimator, 62.85

Comparison of the Normal Scores and Wilcoxon Tests

J. L. Hodges , E. L. Lehmann

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 307-317 (1961). Open Access

KEYWORDS: Student t-test, Pitman efficiency, 62.70

The Behavior of Some Standard Statistical Tests under Nonstandard Conditions

Harold Hotelling

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 319-359 (1961). Open Access

KEYWORDS: Student distribution, Robustness, Time series, Extreme tail probability, 62.10

Estimation with Quadratic Loss

W. James , Charles Stein

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 361-379 (1961). Open Access

KEYWORDS: Stein estimation, Admissibility, 62.30

Optimum Experimental Designs V, with Applications to Systematic and Rotatable Designs

J. Kiefer

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 381-405 (1961). Open Access

KEYWORDS: 62.62

Successive Processes of Statistical Optimizing Procedures

Tosio Kitagawa

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 407-434 (1961). Open Access

KEYWORDS: Control theory, Response surface analysis, Evolutionary operations program, Markov chain, 62.99

The Coordinate-free Approach to Gauss-Markov Estimation, and Its Application to Missing and Extra Observations

William Kruskal

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 435-451 (1961). Open Access

KEYWORDS: Outliers, 62.20, 62.55

The Use of Prior Probability Distributions in Statistical Inference and Decisions

D. V. Lindley

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 453-468 (1961). Open Access

KEYWORDS: Bayesian approach, Choice of prior distribution, 62.05, 62.30

Regression Analysis of Continuous Parameter Time Series

Emanuel Parzen

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 469-489 (1961). Open Access

KEYWORDS: Hilbert space representation, Reproducing kernel, 62.85

The Evaluation of Information in Organizations

Roy Radner

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 491-530 (1961). Open Access

KEYWORDS: Decision theory, Team decision problem, Management, 90.10

Asymptotic Efficiency and Limiting Information

C. Radhakrishna Rao

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 531-545 (1961). Open Access

KEYWORDS: Fisher information, 62.16

On Measures of Entropy and Information

Alfréd Rényi

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 547-561 (1961). Open Access

KEYWORDS: Shannon entropy, 94.20

The Estimation of Discontinuities in Multivariate Densities, and Related Problems in Stochastic Processes

Herman Rubin

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 563-574 (1961). Open Access

KEYWORDS: Nonstationarity, Hyper-efficiency, 62.20

The Foundations of Statistics Reconsidered

Leonard J. Savage

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 575-586 (1961). Open Access

KEYWORDS: Subjectivistic approach, Bayesian approach, Personal probability, 62.05

Stochastic Approximation

L. Schmetterer

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 587-609 (1961). Open Access

KEYWORDS: Robbins-Monro method, Asymptotics, 62.45

Two-way Communication Channels

Claude E. Shannon

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 611-644 (1961). Open Access

KEYWORDS: Capacity bound, Memoryless channel, Random codes, 94.10

On the Distribution of Quadratic Forms in Normal Variates

Herbert Solomon

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 645-653 (1961). Open Access

KEYWORDS: 60.20, 62.10

Statistical Estimation of Semantic Provability

Antonín Špaček

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 655-668 (1961). Open Access

KEYWORDS: Foundations, Decision theory, 02.52

The Metric Structure of Codes for the Binary Symmetric Channel

A. J. Thomasian

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 669-679 (1961). Open Access

KEYWORDS: Information theory, 94.10

Curves As Parameters, and Touch Estimation

John W. Tukey

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 681-694 (1961). Open Access

KEYWORDS: Regression, Histogram, Spectral density, 62.70

On Two-sample Tests Based on Order Statistics

I. Vincze

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 695-705 (1961). Open Access

KEYWORDS: Nonparametric statistics, 62.70

A Combinatorial Test for the Problem of Two Samples from Continuos Distributions

S. S. Wilks

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 707-717 (1961). Open Access

KEYWORDS: Nonparametric statistics, 62.70

Unbiased Predictors

Herman O. A. Wold

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 719-761 (1961). Open Access

KEYWORDS: Time series, Econometrics, Gaussian process, Least squares regression

A Channel with Infinite Memory

J. Wolfowitz

Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.1, 763-767 (1961). Open Access

KEYWORDS: Information theory

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