On residual lifetimes of k-out-of-n systems with nonidentical components

Authors:
Subhash Kochar;Maochao Xu
Affiliations:
Department of mathematics and statistics, portland state university, portland, or 97201 e-mail: maochao@pdx.edu;Department of mathematics and statistics, portland state university, portland, or 97201 e-mail: maochao@pdx.edu
Venue:
Probability in the Engineering and Informational Sciences
Year:
2010

Citing 4
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Abstract

In this article, mixture representations of survival functions of residual lifetimes of k-out-of-n systems are obtained when the components are independent but not necessarily identically distributed. Then we stochastically compare the residual lifetimes of k-out-of-n systems in one-and two-sample problems. In particular, the results extend some results in Li and Zhao [14], Khaledi and Shaked [13], Sadegh [17], Gurler and Bairamov [7] and Navarro, Balakrishnan, and Samaniego [16]. Applications in the proportional hazard rates model are presented as well.