Accession Number : ADA116814

Title :   Inequalities on Distributions: Bivariate and Multivariate.

Descriptive Note : Technical rept.,

Corporate Author : PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Block,Henry W ; Sampson,Allan R

PDF Url : ADA116814

Report Date : May 1982

Pagination or Media Count : 21

Abstract : Inequalities concerning bivariate and multivariate distributions in statistics are surveyed, as well as historical background. Subjects treated include inequalities arising through positive and negative dependence; Boole, Bonferroni, and Frechet inequalities; convex symmetric set inequalities; stochastic ordering; stochastic majorization and inequalities obtained by majorization; Chebyshev and Kolmogorov-type inequalities; multivariate moment inequalities; and applications to simultaneous inference, unbiased testing and reliability theory. (Author)

Descriptors :   *Multivariate analysis, *Bivariate analysis, Inequalities, Stochastic control, Probability

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE