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Characterizations of the Weak Bivariate Failure Rate Order and Bivariate IFR Aging Class

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  • M. Kayid

Abstract

In this paper, two characterizations of the weak bivariate failure rate order over the bivariate Laplace transform order of two‐dimensional residual lifetimes are given. The results are applied to characterize the weak bivariate failure rate ordering of random pairs by the weak bivariate mean residual lifetime ordering of the minima of pairs with exponentially distributed random pairs with unspecified mean. Moreover, a well‐known bivariate aging term, namely, the bivariate increasing failure rate, is characterized by the weaker bivariate decreasing mean residual lifetime property of a random pair of minima.

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  • M. Kayid, 2022. "Characterizations of the Weak Bivariate Failure Rate Order and Bivariate IFR Aging Class," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2573667
    DOI: 10.1155/2022/2573667
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    References listed on IDEAS

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    1. Belzunce, Félix & Gao, Xiaoli & Hu, Taizhong & Pellerey, Franco, 2004. "Characterizations of the hazard rate order and IFR aging notion," Statistics & Probability Letters, Elsevier, vol. 70(4), pages 235-242, December.
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