A Characterization of Independence in a Family of Distributions Exhibiting Certain Positive or Negative Dependence.

Abstract

A characterization of independence via uncorrelatedness is shown to hold for a family exhibiting positive dependence, wider than the one containing associated random variables. This generalizes a result of Newman and Wright (1981 Ann. Prob.) for associated random variables. In fact the weakening of the positive dependence condition naturally leads to a more direct and simple proof of the characterization. It also yields the same characterization for a family possessing an analogous negative dependence condition. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA121478

Entities

People

  • Kumar Joag-dev

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Data Science
  • Families (Human)
  • Illinois
  • Indicators
  • Inequalities
  • Information Science
  • Mathematics
  • Probability
  • Random Variables
  • Scientific Research
  • Security
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.