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

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  • Bartoszewicz, Jaroslaw

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.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 1998. "Applications of a general composition theorem to the star order of distributions," Statistics & Probability Letters, Elsevier, vol. 38(1), pages 1-9, May.
    • Handle: RePEc:eee:stapro:v:38:y:1998:i:1:p:1-9
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    References listed on IDEAS

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    1. Bartoszewicz, Jaroslaw, 1986. "Dispersive ordering and the total time on test transformation," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 285-288, October.
    2. Joag-dev, Kumar & Kochar, Subhash & Proschan, Frank, 1995. "A general composition theorem and its applications to certain partial orderings of distributions," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 111-119, February.
    3. Bartoszewicz, Jaroslaw, 1995. "Stochastic order relations and the total time on test transform," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 103-110, February.
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    Cited by:

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    3. Xiaohu Li & Richard Yam, 2005. "Reversed preservation properties of some negative aging conceptions and stochastic orders," Statistical Papers, Springer, vol. 46(1), pages 65-78, January.
    4. Li, Xiaohu & Shaked, Moshe, 2004. "The observed total time on test and the observed excess wealth," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 247-258, July.

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