Accession Number : AD0778852
Title : Simple Multivariate Inequalities Using Association.
Descriptive Note : Technical rept.,
Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
Personal Author(s) : Proschan,F. ; Sethuraman,J.
Report Date : MAR 1974
Pagination or Media Count : 9
Abstract : A simple proof is given of the following generalization of a result of I.N. Yusas (1972), (Theory of Probability and Its Application, 17, 712-717) using the notion of association among random variables: If (R1,...,Rk) P(R1 > or = r1, R2 > or = r2) < or = P(R1 > or = r1) P(R2 > or = r2) for all r1, r2. More general results are also obtained for the multinomial as well as for other multivariate distributions. (Author)
Descriptors : *Multivariate analysis, *Inequalities, *Random variables, Distribution functions, Theorems
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE