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ON RESIDUAL LIFETIMES OF k-OUT-OF-n SYSTEMS WITH NONIDENTICAL COMPONENTS

Published online by Cambridge University Press:  21 December 2009

Subhash Kochar  and
Maochao Xu
Subhash Kochar
Affiliation:
Department of Mathematics and Statistics, Portland State University, Portland, OR 97201 E-mail: maochao@pdx.edu
Maochao Xu
Affiliation:
Department of Mathematics and Statistics, Portland State University, Portland, OR 97201 E-mail: maochao@pdx.edu
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 24 , Issue 1 , January 2010 , pp. 109 - 127
Copyright
Copyright © Cambridge University Press 2009

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