A weibull limit for the reliability of a consecutive k-within-m-out-of-n system

Stavros G. Papastavridis

doi:10.2307/1427045

Abstract

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A consecutive k-within-m-out-of-n system consists of n identical and stochastically independent components arranged on a line. The system will fail if and only if within m consecutive components, there are at least k failures. Let Tn be the system's lifetime. Then, under quite general conditions we prove that there is a positive constant a such that the random variable n1/kaTn converges to a Weibull distribution as n →∞.

Footnotes

This paper was written while the author was visiting Bell Laboratories (MH), in the fall of 1987–88.

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Article contents

A weibull limit for the reliability of a consecutive k-within-m-out-of-n system

Abstract

Keywords

Footnotes

References

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

A weibull limit for the reliability of a consecutive k-within-m-out-of-n system

Abstract

Keywords

Footnotes

References

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