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

Third Berkeley Symposium on Mathematical Statistics and Probability

December 1954 and July-August 1955 | Statistical Laboratory of the University of California, Berkeley

Editor(s) Jerzy Neyman

Berkeley Symp. on Math. Statist. and Prob., 3.1: 208pp. (1956).

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Berkeley Symposium on Mathematical Statistics and Probability, Volume 3.1

208 pp.

Published: 1956

First available in Project Euclid: 17 January 2008

Keywords: Mathematical statistics--Congresses, Probabilities

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University of California Press

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

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, - (1956).

Estimation by Least Squares and by Maximum Likelihood

Joseph Berkson

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 1-11 (1956).

KEYWORDS: Logistic function, Minimum chi-squared, 62.0X

On a Use of the Mann-Whitney Statistic

Z. W. Birnbaum

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 13-17 (1956).

KEYWORDS: Nonparametric test, Confidence interval, Normal approximation, 62.0X

The Estimation of the Location of a Discontinuity in Density

Herman Chernoff , Herman Rubin

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 19-37 (1956).

KEYWORDS: Consistency, Maximum likelihood estimation, Random walk, 62.0X

On Stochastic Approximation

Aryeh Dvoretzky

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 39-55 (1956).

KEYWORDS: Robbins-Monro process, Kiefer-Wolfowitz process, 62.0X

Complete Class Theorems in Experimental Design

Sylvain Ehrenfeld

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 57-67 (1956).

KEYWORDS: Design selection, 62.0X

Selection of Nonrepeatable Observations for Estimation

G. Elfving

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 69-75 (1956).

KEYWORDS: Design of experiments, Allocation problem, Extremal region, Spherical symmetry, Quadratic symmetry, 62.0X

Some Problems in Estimating the Spectrum of a Time Series

Ulf Grenander , Murray Rosenblatt

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 77-93 (1956).

KEYWORDS: Electronic circuit noise, Fluid turbulence, Meteorology, Moving average, Dirichlet kernel, Fejer kernel, Filtering, 62.0X

Two Approximations to the Robbins-Monro Process

J. L. Hodges , E. L. Lehmann

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 95-104 (1956).

KEYWORDS: Speed of convergence, Asymptotic accuracy, Harmonic coefficient, Linear approximation, Parametric estimation, 62.0X

The Role of Assumptions in Statistical Decisions

Wassily Hoeffding

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 105-114 (1956).

KEYWORDS: Decision theory, Loss function, Randomized test, Sequential test, 62.0X

Decision Theory for Pólya Type Distributions. Case of Two Actions, I

Samuel Karlin

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 115-128 (1956).

KEYWORDS: Bayes strategy, Essential complete class, Liapounoff theorem, 62.0X

On the Asymptotic Theory of Estimation and Testing Hypotheses

L. Le Cam

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 129-156 (1956).

KEYWORDS: Consistent estimate, Sufficiency, Asymptotic normality, Asymptotic similarity, 62.0X

An Empirical Bayes Approach to Statistics

Herbert Robbins

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 157-163 (1956).

KEYWORDS: Estimation, Mixing distribution, 62.0X

Some Regression Problems in Time Series Analysis

Murray Rosenblatt

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 165-186 (1956).

KEYWORDS: Asymptotic efficiency, 62.0X

Efficient Nonparametric Testing and Estimation

Charles Stein

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 187-195 (1956).

KEYWORDS: Median test, 62.0X

Inadmissibility of the Usual Estimator for the Mean of a Multivariate Normal Distribution

Charles Stein

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 197-206 (1956).

KEYWORDS: Stein paradox, Shrinkage estimator, Spherically symmetrical estimator, Information inequality, 62.0X

The Computation of the X-distribution

B. L. van der Waerden

Berkeley Symposium on Mathematical Statistics and Probability Vol. 3.1, 207-208 (1956).

KEYWORDS: Two-sample rank test, 62.0X

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