On the number of failed components in a coherent operating system

In this paper, we investigate the number of failed components in a coherent system. We consider an (n−m+1)-out-of-n system and we compute the probability that there are exactly i failures, i=0,…,m−1, in the system under the condition that it is operating at time t. Several properties of the proposed time dependent probabilities are studied. The results are then extended to coherent systems consisting of n components with an arbitrary signature vector.

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Year of publication:	2012
Authors:	Asadi, Majid ; Berred, Alexandre
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 82.2012, 12, p. 2156-2163
Publisher:	Elsevier
Subject:	Order statistics \| Stochastic order \| Residual lifetime \| IFR \| Signature

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011040092