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Dispersivity and stochastic majorization

Author

Listed:
  • Alzaid, Abdulhamid A.
  • Proschan, Frank

Abstract

Inequalities and monotonicity results are obtained for order statistics from distributions ordered by dispersivity. One results solves the open problem posed by Marshall and Olkin (1979, p. 282). Applications of these results are given.

Suggested Citation

  • Alzaid, Abdulhamid A. & Proschan, Frank, 1992. "Dispersivity and stochastic majorization," Statistics & Probability Letters, Elsevier, vol. 13(4), pages 275-278, March.
    • Handle: RePEc:eee:stapro:v:13:y:1992:i:4:p:275-278
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    Cited by:

    1. Bartoszewicz, Jaroslaw, 2002. "Mixtures of exponential distributions and stochastic orders," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 23-31, March.
    2. Bartoszewicz, Jaroslaw, 2001. "Stochastic comparisons of random minima and maxima from life distributions," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 107-112, November.

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