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Characterizations of the dispersive order of distributions by the Laplace transform

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  • Bartoszewicz, Jaroslaw

Abstract

Characterizations of the dispersive order in terms of the Laplace transform are derived from a relation between the dispersive and star orders and recent results of Bartoszewicz (1998). Inequalities for the Laplace transforms of distributions and hazard rate functions are obtained as corollaries.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 1998. "Characterizations of the dispersive order of distributions by the Laplace transform," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 23-29, September.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:1:p:23-29
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    References listed on IDEAS

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    1. Bartoszewicz, J., 1987. "A note on dispersive ordering defined by hazard functions," Statistics & Probability Letters, Elsevier, vol. 6(1), pages 13-16, September.
    2. 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.
    3. 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.
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