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) : Morris,Carl

Report Date : 11 AUG 1966

Pagination or Media Count : 141

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.

Descriptors :   (*STATISTICAL TESTS, *DECISION THEORY), (*STATISTICAL DISTRIBUTIONS, STATISTICAL TESTS), MEASURE THEORY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE