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New partial orderings and applications

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  • Enrico Fagiuoli
  • Franco Pellerey

Abstract

New concepts of partial stochastic orderings are introduced, and the relations among them and the classical partial orderings are shown. Relevance of these partial orderings in aging properties classification is discussed, and new classes of life distributions, based on them, are proposed. An application to stochastic comparison between Poisson shock models is proposed. © 1993 John Wiley & Sons, Inc.

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  • Enrico Fagiuoli & Franco Pellerey, 1993. "New partial orderings and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(6), pages 829-842, October.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:6:p:829-842
    DOI: 10.1002/1520-6750(199310)40:63.0.CO;2-D
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    References listed on IDEAS

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    1. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    2. Averous, J. & Meste, M., 1989. "Tailweight and life distributions," Statistics & Probability Letters, Elsevier, vol. 8(4), pages 381-387, September.
    3. Harshinder Singh, 1989. "On partial orderings of life distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 103-110, February.
    4. Subhash C. Kochar & Douglas P. Wiens, 1987. "Partial orderings of life distributions with respect to their aging properties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 823-829, December.
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    Cited by:

    1. Chadjiconstantinidis, Stathis, 2023. "Some bounds for the renewal function and the variance of the renewal process," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    2. Taizhong Hu & Asok K. Nanda & Huiliang Xie & Zegang Zhu, 2004. "Properties of some stochastic orders: A unified study," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(2), pages 193-216, March.
    3. Nader Ebrahimi & S.N.U.A. Kirmani & Ehsan S. Soofi, 2011. "Predictability of operational processes over finite horizon," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(6), pages 531-545, September.
    4. N. Nair & M. Preeth, 2009. "On some properties of equilibrium distributions of order n," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(4), pages 453-464, November.

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