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Decreasing in transposition property of overlapping sums, and applications

Author

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  • Hollander, M.
  • Proschan, F.
  • Sethuraman, J.

Abstract

In this paper a large class of multivariate densities and frequency functions, including the multivariate Poisson distribution and the compound multivariate Poisson distribution, are shown to have the decreasing in transposition property introduced by [4], Ann. Statist. 5, 722-733). Sample applications in ecology and reliability are given; other applications to cumulation of damage and component down times are mentioned, but are not presented in detail.

Suggested Citation

  • Hollander, M. & Proschan, F. & Sethuraman, J., 1981. "Decreasing in transposition property of overlapping sums, and applications," Journal of Multivariate Analysis, Elsevier, vol. 11(1), pages 50-57, March.
    • Handle: RePEc:eee:jmvana:v:11:y:1981:i:1:p:50-57
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    Cited by:

    1. Li, Haijun & Xu, Susan H., 2001. "Stochastic Bounds and Dependence Properties of Survival Times in a Multicomponent Shock Model," Journal of Multivariate Analysis, Elsevier, vol. 76(1), pages 63-89, January.
    2. Joe, Harry, 2002. "Stochastic orderings in random utility models," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 391-404, July.
    3. Khaledi, Baha-Eldin & Kochar, Subhash, 2000. "Stochastic Comparisons and Dependence among Concomitants of Order Statistics," Journal of Multivariate Analysis, Elsevier, vol. 73(2), pages 262-281, May.
    4. Ma, Chunsheng, 2000. "ISO* Property of Two-Parameter Compound Poisson Distributions with Applications," Journal of Multivariate Analysis, Elsevier, vol. 75(2), pages 279-294, November.

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