On proportional mean past lifetimes model

Majid Rezaei

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 14, 4035-4047

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.

Date: 2016
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DOI: 10.1080/03610926.2014.915039

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