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

✍ Scribed by Jarosław Bartoszewicz

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
364 KB
Volume
38
Category
Article
ISSN
0167-7152

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✦ Synopsis

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.

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