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Some results about the exponential ordering of inactivity time

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  • Kayid, M.
  • Alamoudi, L.

Abstract

The purpose of this paper is to study new notions of stochastic comparisons and aging classes based on the exponential order. We provide some preservation properties of the exponential order of inactivity time under the reliability operations of convolution and mixture. Some applications to shock models are discussed.

Suggested Citation

  • Kayid, M. & Alamoudi, L., 2013. "Some results about the exponential ordering of inactivity time," Economic Modelling, Elsevier, vol. 33(C), pages 159-163.
    • Handle: RePEc:eee:ecmode:v:33:y:2013:i:c:p:159-163
    DOI: 10.1016/j.econmod.2013.04.002
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    References listed on IDEAS

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    1. Denuit, Michel, 2001. "Laplace transform ordering of actuarial quantities," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 83-102, August.
    2. A-Hameed, M. S. & Proschan, F., 1973. "Nonstationary shock models," Stochastic Processes and their Applications, Elsevier, vol. 1(4), pages 383-404, October.
    3. Pellerey, Franco & Shaked, Moshe, 1997. "Characterizations of the IFR and DFR aging notions by means of the dispersive order," Statistics & Probability Letters, Elsevier, vol. 33(4), pages 389-393, May.
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