Stochastic Comparisons of Order Statistics from Heterogeneous Populations, with Applications in Reliability.

Abstract

In this paper, the authors stochastically compare whole vectors of order statistics. This stochastic vector comparison yields as special cases a number of previous results such as the Pledger-Proschan results and additional results stochastically comparing partial or complete sums of order statistics. It is shown that some of these results concerning stochastic comparison of sums remain valid if one does not order the sample, but instead uses the ordering specified by the constants of proportionality of the hazard functions.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1975
Accession Number
ADA020427

Entities

People

  • Frank Proschan
  • Jayaram Sethuraman

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Order Statistics
  • Reliability
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Statistical inference.