Limit distribution for a consecuttve-k-out-of-n:Fsystem
- 1 June 1990
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 22 (2) , 491-493
- https://doi.org/10.2307/1427550
Abstract
A consecutive-k-out-of-n:Fsystem consists ofncomponents ordered on a line. Each component, and the system as a whole, has two states: it is either functional or failed. The system will fail if and only if at leastkconsecutive components fail. The components are not necessarily equal and we assume that components' failures are stochastically independent. Using a result of Barbour and Eagleson (1984) we find a bound for the distance of the distribution of system's lifetime from the Weibull distribution. Subsequently, using this bound limit theorems are derived under quite general conditions.Keywords
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