Published In
Probability in the Engineering & Informational Sciences
Document Type
Article
Publication Date
1-1-2010
Subjects
Survival analysis (Biometry), Stochastic analysis, Proportional hazards models
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.
DOI
10.1017/S0269964809990167
Persistent Identifier
http://archives.pdx.edu/ds/psu/9502
Citation Details
Kochar, S., & Xu, M. (2010). On residual lifetimes of k-out-of-n systems with nonidentical components. Probability in the Engineering & Informational Sciences, 24(1), 109-127.
Description
This is the publisher's final PDF. Article appears in Probability in the Engineering and Informational Sciences (http://journals.cambridge.org/action/displayJournal?jid=PES) and is Copyright © 2010 Cambridge University Press.