Total Positivity of the Bivariate Absolute Normal Distribution and the Association of a Bivariate T-Distribution,

Abstract

Motivated by needs in simultaneous inference, numerous authors have established inequalities for joint probabilities in terms of marginal probabilities. Typically the underlying random variables are jointly normal, and most of the proofs are of an analytic nature. In this note, the authors obtain stronger results in the bivariated case by using relationships between certain notions of bivariate dependence.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
AD0787553

Entities

People

  • Allan Sampson
  • M. S. A. -hameed

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Inequalities
  • Mathematics
  • Normal Distribution
  • Probability
  • Probability Distributions
  • Random Variables

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference