Monotonicity Properties of Dirichlet Integrals with Applications to the Multinomial Distribution and the Anova Test.

Abstract

The paper is concerned with establishing bounds for certain Dirichlet integrals. These integrals have importance in tail probabilities for the multinomial distribution, and the simultaneous analysis of variance F-distribution are special cases of this integral. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 23, 1971
Accession Number
AD0737614

Entities

People

  • Ingram Olkin

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Data Science
  • Dirichlet Integral
  • Information Science
  • Integrals
  • Mathematics
  • Probability

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.