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Article
Stochastic Comparisons of Order Statistics and Spacings: A Review
ISRN Probability and Statistics
  • Subhash C. Kochar, Portland State University
Document Type
Article
Publication Date
1-1-2012
Subjects
  • Random variables -- Mathematical models,
  • Stochastic orders,
  • Mathematical statistics,
  • Order statistics
Disciplines
Abstract

We review some of the recent developments in the area of stochastic comparisons of order statistics and sample spacings. We consider the cases when the parent observations are identically as well as nonidentically distributed. But most of the time we will be assuming that the observations are independent. The case of independent exponentials with unequal scale parameters as well as the proportional hazard rate model is discussed in detail.

Description

Copyright © 2012 Subhash Kochar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

DOI
10.5402/2012/839473
Persistent Identifier
http://archives.pdx.edu/ds/psu/9110
Citation Information
Subhash Kochar, "Stochastic Comparisons of Order Statistics and Spacings: A Review," ISRN Probability and Statistics, vol. 2012, Article ID 839473, 47 pages, 2012.