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

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.

Document Details

Document Type
Technical Report
Publication Date
Aug 11, 1966
Accession Number
AD0642636

Entities

People

  • Carl Morris

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Chi Square Test
  • Computing-Related Activities
  • Data Science
  • Hypotheses
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.