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

Authors
Papastavridis, Stravos G.
Citation
G. Papastavridis, Stravos, A weibull limit for the reliability of a consecutive k-within-m-out-of-n system, Advances in applied probability , 20(3), 1988, pp. 690-692
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
20
Issue
3
Year of publication
1988
Pages
690 - 692
Database
ACNP
SICI code
Abstract
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 ...