Accession Number:

ADA003208

Title:

Stochastic Comparison of Sums, Using Majorization.

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

Report Date:

1974-09-01

Pagination or Media Count:

17.0

Abstract:

Stochastic comparisons of sums of random variables are obtained. The random variables come from two types of families of distributions 1 Families which have proportional hazard functions and, 2 Families which are obtained by transforming random variables from a semi-group family by means of a convex function. The key tools used are majorization and the theory of Schur functions. Sample applications are presented for the exponential, Weibull, and normal families.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE