Positive Dependence of the Bivariate and Trivariate, Absolute Normal, T, X square F Distributions.

Abstract

The bivariate, and trivariate, density of the absolute normal distribution is shown to be totally positive of order 2. These results are then used to show that a generalized bivariate, and trivariate, t, x squared and F distributions are associated. A conjecture of the total positivity of the multivariate absolute normal distribution and association of a multivariate t-distribution is given.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1976
Accession Number
ADA029509

Entities

People

  • Allan Sampson
  • M. Abdel-hameed

Organizations

  • University of North Carolina at Charlotte

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Contract Administration
  • Contracts
  • Cooperation
  • Distribution Functions
  • Functions (Mathematics)
  • Group Dynamics
  • Mathematics
  • Normal Distribution

Fields of Study

  • Mathematics

Readers

  • Statistical inference.