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

Jaroslaw Bartoszewicz

Statistics & Probability Letters, 1998, vol. 38, issue 1, 1-9

Abstract: 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.

Keywords: Partial; orders; Characterization; theorem; DP2; property; TP2; property; Order; statistics; Total; time; on; test; transform (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (5)

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