
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 chisquare 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