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Stochastic orders based on the Laplace transform and infinitely divisible distributions

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  • Bartoszewicz, Jaroslaw

Abstract

Recently, Bartoszewicz (1999, Statist. Probab. Lett. 42, 207-212), has given characterizations of stochastic orders based on the Laplace transform and obtained moment inequalities for ordered distributions. In this note, we give some relations between these orders and infinitely divisible distributions. New characterizations of the so-called -class of distributions are given.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 2000. "Stochastic orders based on the Laplace transform and infinitely divisible distributions," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 121-129, November.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:2:p:121-129
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    References listed on IDEAS

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    1. Bartoszewicz, Jaroslaw, 1999. "Characterizations of stochastic orders based on ratios of Laplace transforms," Statistics & Probability Letters, Elsevier, vol. 42(2), pages 207-212, April.
    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.
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    Cited by:

    1. Bartoszewicz, Jaroslaw, 2001. "Stochastic comparisons of random minima and maxima from life distributions," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 107-112, November.
    2. Denuit, Michel, 2001. "Laplace transform ordering of actuarial quantities," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 83-102, August.

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