Some Concepts of Negative Dependence.

Abstract

The theory of positive dependence notions cannot yield useful results for some widely used distributions such as the multinomial, Dirichlet and the multivariate hypergeometric. Some conditions of negative dependence that are satisfied by these distributions and which have practical meaning are introduced. Preservation results for some of these concepts are derived. Useful inequalities for some widely used distributions are obtained. Results of Mallows (1969) that apply to the multinomial distributions are extended to more distributions. Examples are listed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA104607

Entities

People

  • Henry W. Block
  • Moshe Shaked
  • Thomas H. Savits

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Binomials
  • Distribution Functions
  • Indicators
  • Inequalities
  • Intervals
  • Literature
  • Mathematics
  • Military Research
  • New York
  • Probability
  • Random Variables
  • Sequences
  • Statistics
  • Symmetry
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.