Applications of a general composition theorem to the star order of distributions

A composition theorem proved recently by Joag-dev et al. (1995) is reformulated for quantile functions of distributions. The theorem is used to derive characterizations of the star order. As corollaries of the characterization theorem some inequalities for moments of order statistics from star order...

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Bibliographic Details
Published in:Statistics & probability letters 1998-05, Vol.38 (1), p.1-9
Main Author: Bartoszewicz, Jarosław
Format: Article
Language:English
Subjects:
Applications
Biology, psychology, social sciences
Characterization theorem
Distribution theory
DP 2 property
Exact sciences and technology
Insurance, economics, finance
Mathematics
Medical sciences
Order statistics
Partial orders
Partial orders Characterization theorem DP2 property TP2 property Order statistics Total time on test transform
Probability and statistics
Probability theory and stochastic processes
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
Total time on test transform
TP 2 property
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Summary:A composition theorem proved recently by Joag-dev et al. (1995) is reformulated for quantile functions of distributions. The theorem is used to derive characterizations of the star order. As corollaries of the characterization theorem some inequalities for moments of order statistics from star ordered distributions are obtained and earlier results concerning the TTT transformation are proved in a simple way.
ISSN:0167-7152
1879-2103
DOI:10.1016/S0167-7152(97)00147-8