Volume 19, Issue 1 (6-2020)                   JIRSS 2020, 19(1): 69-83 | Back to browse issues page

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Sajadi F A, Poursaeed M H, Goli S. On Conditional Inactivity Time of Failed Components in an (n-k+1)-out-of-n System with Nonidentical Independent Components. JIRSS. 2020; 19 (1) :69-83
URL: http://jirss.irstat.ir/article-1-593-en.html
Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran. , f.sajadi@sci.ui.ac.ir
Abstract:   (477 Views)

In this paper, we study an (n-k+1)-out-of-n system by adopting their components to be statistically independent though nonidentically distributed. By assuming that at least m components at a fixed time have failed while the system is still working, we obtain the mixture representation of survival function for a quantity called the conditional inactivity time of failed components in the system. Moreover, this quantity for (n-k+1)-out-of-n system, in one sample with respect to k and m and in two samples, are stochastically compared.

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Type of Study: Original Paper | Subject: 62Nxx: Survival analysis and censored data
Received: 2019/05/27 | Accepted: 2020/05/25 | Published: 2020/07/4

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