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A limit theorem for the reliability of a consecutive-k-out-of-n system

Published online by Cambridge University Press:  01 July 2016

S. Papastavridis
S. Papastavridis*
Affiliation:
University of Patras
*
∗Postal address: Applied Mathematics Division, University of Patras, 261 10 Patras, Greece.
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Abstract

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A consecutive-k-out-of-n system consists of n identical and linearly ordered components. The system will fail if and only if at least k consecutive components fail. Let Tn be the system&s lifetime. Then, under very general conditions we prove that there is a positive constant a, so that the distribution of the random variable n(1/ka)Tn converges to a Weibull distribution, as n→∞

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 19 , Issue 3 , September 1987 , pp. 746 - 748
Copyright
Copyright © Applied Probability Trust 1987 

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