Accession Number:

AD0642636

Title:

ADMISSIBLE BAYES PROCEDURES AND CLASSES OF EPSILON BAYES PROCEDURES FOR TESTING HYPOTHESES IN A MULTINOMIAL DISTRIBUTION.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s):

Report Date:

1966-08-11

Pagination or Media Count:

141.0

Abstract:

The purpose of the paper is to further study the problem of testing a simple hypothesis in a multinomial distribution. It is shown that for large k and near alternatives that for testing simple hypotheses one only need consider test procedures which have quadratic forms in N N sub 1,...,N sub k as test statistics. A central limit theorem is proven for sums of quadratic forms of multinomials. Finally it is shown that the chi-square test, likelihood ratio test and all quadratic forms are Bayes and admissible for fixed k and n.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE