SOME BAYESIAN METHODS RELATED TO CHI-SQUARE.

Abstract

Monte-Carlo studies are made to determine when the chi-square statistic (using the sample or a modified sample) leads to an accurate Bayesian confidence region for the class probabilities in a multinomial - accurate only in the sense of posterior probability content, not shape. The exact distribution of the likelihood ratio statistic is given so that regions, exact in shape and content, can be obtained. Special methods for cases where there are mixed-up and missing classes are also given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0622997

Entities

People

  • G. S. Watson

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Probability

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference