CENTRAL LIMIT THEOREMS FOR MULTINOMIAL SUMS,

Abstract

A central limit theorem is proved for certain statistics of a multinomial random variable. These statistics include Pearson's chi-square test statistic and the likelihood ratio test statistic for simple hypotheses. The feature that distinguishes the results of this work from others is that the limit is taken as the number of multinomial cells become large. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0688822

Entities

People

  • Carl N. Morris

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Chi Square Test
  • Computing-Related Activities
  • Data Science
  • Hypotheses
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Random Variables
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.