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Stochastic comparisons and bounds for aging renewal process shock models and their applications

  • Stochastic Process
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Abstract

Sharp comparisons between aging renewal process shock models and the corresponding Esary-Marshall-Proschan (EMP) shock model are considered. The usefulness of such comparisons derive from the simplicity of the latter models. Simple conditions under which such aging renewal process shock models are stochastically ordered relative to a corresponding EMP-model are derived. Applications to renewal functions and single server queues are indicated.

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Authors and Affiliations

  1. Center for Applied Mathematies & Statistics, Department of Mathematics, New Jersey Institute of Technology, 07102, Newark, NJ, U.S.A.

    M. C. Bhattachariee

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  1. M. C. Bhattachariee
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Bhattachariee, M.C. Stochastic comparisons and bounds for aging renewal process shock models and their applications. Ann Inst Stat Math 48, 645–662 (1996). https://doi.org/10.1007/BF00052325

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  • DOI: https://doi.org/10.1007/BF00052325

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