Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability

Second Berkeley Symposium on Mathematical Statistics and Probability

July 31-August 12, 1950 | Statistical Laboratory of the University of California, Berkeley

Editor(s) Jerzy Neyman

Berkeley Symp. on Math. Statist. and Prob., 2: 666pp. (1951).

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Berkeley Symposium on Mathematical Statistics and Probability, Volume 2

666 pp.

Published: 1951

First available in Project Euclid: 17 January 2008

Keywords: Mathematical statistics--Congresses , Probabilities

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University of California Press

TABLE OF CONTENTS
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Miscellaneous front pages, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, - (1951). Open Access

Asymptotic Minimax Solutions of Sequential Point Estimation Problems

A. Wald

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 1-11 (1951). Open Access

KEYWORDS: 62.0X

Some Applications of the Cramér-Rao Inequality

J. L. Hodges , E. L. Lehmann

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 13-22 (1951). Open Access

KEYWORDS: 62.0X

A Generalized T Test and Measure of Multivariate Dispersion

Harold Hotelling

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 23-41 (1951). Open Access

KEYWORDS: Hotelling T-squared distribution, 62.0X

Tolerance Intervals for Linear Regression

W. Allen Wallis

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 43-51 (1951). Open Access

KEYWORDS: 62.0X

Bayes and Minimax Estimates for Quadratic Loss Functions

M. A. Girshick , L. J. Savage

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 53-73 (1951). Open Access

KEYWORDS: Wald theory, Location parameter, 62.0X

Confidence Regions for Linear Regression

Paul G. Hoel

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 75-81 (1951). Open Access

KEYWORDS: 62.0X

"Optimum" Nonparametric Tests

Wassily Hoeffding

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 83-92 (1951). Open Access

KEYWORDS: Most powerful test, Most stringent test, Most powerful rank-order test, 62.0X

Comparison of Experiments

David Blackwell

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 93-102 (1951). Open Access

KEYWORDS: 62.0X

The Asymptotic Distribution of Certain Characteristic Roots and Vectors

T. W. Anderson

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 103-130 (1951). Open Access

KEYWORDS: Multivariate statistical analysis, 62.0X

Asymptotically Subminimax Solutions of Compound Statistical Decision Problems

Herbert Robbins

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 131-149 (1951). Open Access

KEYWORDS: 62.0X

Characterization of the Minimal Complete Class of Decision Functions When the Number of Distributions and Decisions Is Finite

A. Wald , J. Wolfowitz

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 149-157 (1951). Open Access

KEYWORDS: 62.0X

On Median Tests for Linear Hypotheses

G. W. Brown , A. M. Mood

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 159-166 (1951). Open Access

KEYWORDS: Analysis of variance, Friedman test, Interaction, Asymptotics

Conditional Expectation and Convex Functions

E. W. Barankin

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 167-169 (1951). Open Access

KEYWORDS: Integral inequality, 62.0X

Wiener's Random Function, and Other Laplacian Random Functions

Paul Lévy

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 171-187 (1951). Open Access

KEYWORDS: 60.0X

On Some Connections between Probability Theory and Differential and Integral Equations

M. Kac

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 189-215 (1951). Open Access

KEYWORDS: Weyl theorem, Carleman theorem, Potential theory, 60.0X

Recent Suggestions for the Reconciliation of Theories of Probability

Bruno de Finetti

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 217-225 (1951). Open Access

KEYWORDS: Foundations of probability, Bayes theory, Decision theory, 60.0X

Diffusion Processes in Genetics

William Feller

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 227-246 (1951). Open Access

KEYWORDS: Branching process, Markov chain, Diffusion equation, Exponential growth, Wright theory, Gene frequency, 92.0X

Random Ergodic Theorems and Markoff Processes with a Stable Distribution

Shizuo Kakutani

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 247-261 (1951). Open Access

KEYWORDS: 60.0X

A Problem on Random Walk

R. Sherman Lehman

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 263-268 (1951). Open Access

KEYWORDS: 60.0X

Continuous Parameter Martingales

J. L. Doob

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 267-277 (1951). Open Access

KEYWORDS: 60.0X

On Almost Sure Convergence

Michel Loève

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 279-303 (1951). Open Access

KEYWORDS: Set function, Conditional expectation, 60.0X

Some Mathematical Models for Branching Processes

T. E. Harris

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 305-328 (1951). Open Access

KEYWORDS: Continuous time parameter Markov process, Age dependent process, 60.0X

A Contribution to the Theory of Stochastic Processes

Harald Cramér

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 329-339 (1951). Open Access

KEYWORDS: Additive random set function, 60.0X

The Strong Law of Large Numbers

Kai Lai Chung

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 341-352 (1951). Open Access

KEYWORDS: 60.0X

Some Problems on Random Walk in Space

A. Dvoretzky , P. Erdős

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 353-367 (1951). Open Access

KEYWORDS: Weak law of large numbers, Strong law of large numbers, Rate of escape, 60.0X

A Remark on Characteristic Functions

A. Zygmund

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 369-372 (1951). Open Access

KEYWORDS: 60.0X

Random Functions from a Poisson Process

Robert Fortet

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 373-385 (1951). Open Access

KEYWORDS: 60.0X

An Approach to the Dynamics of Stellar Systems

Bertil Lindblad

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 387-402 (1951). Open Access

KEYWORDS: Astronomy, 85.0X

The Problem of Stellar Evolution Considered Statistically

Otto Struve

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 403-415 (1951). Open Access

KEYWORDS: Astronomy

Statistical Studies Relating to the Distribution of the Elements of Spectroscopic Binaries

Elizabeth L. Scott

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 417-435 (1951). Open Access

KEYWORDS: Astronomy, Selective identifiability

Correction of Frequency Functions for Observational Errors of the Variables

Robert J. Trumpler

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 437-440 (1951). Open Access

KEYWORDS: Astronomy

Hydrodynamical Description of Stellar Motions

L. G. Henyey

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 441-448 (1951). Open Access

KEYWORDS: Astronomy

Improvement by Means of Selection

W. G. Cochran

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 449-470 (1951). Open Access

KEYWORDS: Biometry, Multivariate normal distribution, 62.0X

Relative Precision of Minimum Chi-square and Maximum Likelihood Estimates of Regression Coefficients

Joseph Berkson

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 471-479 (1951). Open Access

KEYWORDS: Biometry

Nonlinear Programming

H. W. Kuhn , A. W. Tucker

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 481-492 (1951). Open Access

KEYWORDS: Econometrics, Lagrange multiplier, Equivalence theorem, Vector maximum problem, 90.0X

Why "should" Statisticians and Businessmen Maximize "moral Expectation"?

J. Marschak

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 493-506 (1951). Open Access

KEYWORDS: Econometrics

An Extension of the Basic Theorems of Classical Welfare Economics

Kenneth J. Arrow

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 507-532 (1951). Open Access

KEYWORDS: Optimal distribution, Convex set, 90.0X

The Concept of Probability in Quantum Mechanics

Richard P. Feynman

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 533-541 (1951). Open Access

KEYWORDS: Physics, 81.0X

Statistical Questions in Meson Theory

Harold W. Lewis

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 543-551 (1951). Open Access

KEYWORDS: Physics

Statistical Mechanics of a Continuous Medium (vibrating String with Fixed Ends)

J. Kampé de Fériet

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 553-566 (1951). Open Access

KEYWORDS: Physics, 80.1X

Philosophical Problems of the Statistical Interpretation of Quantum Mechanics

Victor F. Lenzen

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 567-579 (1951). Open Access

KEYWORDS: Physics, 81.0X

Correlation of Position for the Ideal Quantum Gas

G. Placzek

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 581-588 (1951). Open Access

KEYWORDS: Physics, Fermi gas, 80.1X

Distribution of Vehicle Speeds and Travel Times

Donald S. Berry , Daniel M. Belmont

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 589-602 (1951). Open Access

KEYWORDS: Traffic engineering

Statistical Techniques in the Field of Traffic Engineering and Traffic Research

T. W. Forbes

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 603-625 (1951). Open Access

Correlograms for Pacific Ocean Waves

Philip Rudnick

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 627-638 (1951). Open Access

KEYWORDS: Wave analysis, Oceanography

Experimental Correlogram Analyses of Artificial Time Series (with Special Reference to Analyses of Oceanographic Data)

H. R. Seiwell

Berkeley Symposium on Mathematical Statistics and Probability Vol. 2, 639-666 (1951). Open Access

KEYWORDS: Wave analysis

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