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On proportional mean past lifetimes model

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  • Majid Rezaei

Abstract

In this paper, we first investigate some reliability properties in the proportional mean past lifetimes model. Specifically, some implications of stochastic orders and aging notions between random variables which have proportional mean past lifetimes are discussed. Then, as an extension, mixture model arising from the proportional mean past lifetimes model is introduced and preservation properties of some stochastic orders and aging notions concerning this mixture model are studied. We also study some negative dependence properties in the proposed mixture model.

Suggested Citation

  • Majid Rezaei, 2016. "On proportional mean past lifetimes model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(14), pages 4035-4047, July.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:14:p:4035-4047
    DOI: 10.1080/03610926.2014.915039
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    Cited by:

    1. Mansour Shrahili & Abdulhakim A. Albabtain & Mohamed Kayid & Zahra Kaabi, 2020. "Stochastic Aspects of Proportional Vitalities Model," Mathematics, MDPI, vol. 8(10), pages 1-14, October.
    2. Fatemeh Hooti & Jafar Ahmadi & N. Balakrishnan, 2022. "Stochastic Comparisons of General Proportional Mean Past Lifetime Frailty Model," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 844-866, August.

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