Year: 2017
Author: Wenyong Gui, Rongtan Huang, Jianhua Lin, X. Sheldon Lin
Journal of Mathematical Study, Vol. 50 (2017), Iss. 1 : pp. 1–16
Abstract
We consider an $(n-k+1)$-out-of-$n$ system with component lifetimes being correlated. The main objective of this paper is to study the conditional residual lifetime of an $(n-k+1)$-out-of-$n$ system, given that at a fixed time a certain number of components have failed, assuming that the component lifetimes follow a multivariate Erlang mixture. Comparison studies of the stochastic ordering of the $(n-k+1)$-out-of-$n$ system are presented. Several examples are presented to illustrate and confirm our results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v50n1.17.01
Journal of Mathematical Study, Vol. 50 (2017), Iss. 1 : pp. 1–16
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Conditional mean residual lifetime multivariate Erlang mixture $(n-k+1)$-out-of-$n$ system dependence structure exchangeable variables.