A limit theorem for the reliability of a consecutive-k-out-of-n system
- 1 September 1987
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 19 (3) , 746-748
- https://doi.org/10.2307/1427417
Abstract
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→∞Keywords
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