A limit theorem for the reliability of a consecutive-k-out-of-n system-Reference-Cited by-同舟云学术

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

Published:1987-09 Issue:3 Volume:19 Page:746-748
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Papastavridis S.

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→∞

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference8 articles.

1. Recursive Algorithm to Evaluate the Reliability of a Consecutive-k-out-of-n:F System

2. Fast Solutions for Consecutive-k-out-of-n: F System

3. On the Consecutive-k-of-n:F System

4. Economical Design of Large Consecutive-k-out-of-n:F Systems

Cited by 30 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Reliability analyses of linear two-dimensional consecutive k-type systems;Journal of Applied Probability;2023-08-14

2. Generalization of Limit Theorems for Connected-(r,s)-out-of-(m,n):F Lattice Systems;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2021

3. Bibliography;Runs and Scans with Applications;2011-10-14

4. On Negative Binomial Approximation to k-Runs;Journal of Applied Probability;2008-06

5. On Negative Binomial Approximation to k-Runs;Journal of Applied Probability;2008-06