Author:
Canfield E. R.,Mccormick W. P.
Abstract
By studying the minimum of moving maxima, that is the maxima taken over a sliding window of length k in an i.i.d. sequence, we obtain new results on the reliability of consecutive k-out-of-n systems. In particular, we give the reliability asymptotically with both k and n varying. The underlying method of our approach is to analyze the singularities of a generating function.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
5 articles.
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1. A preventive maintenance of circular consecutive-k-out-of-n: F systems;International Journal of Quality & Reliability Management;2017-06-05
2. Condition-based maintenance policy for linear consecutive-k-out-of-n: F system;Communications in Statistics - Simulation and Computation;2016-12-20
3. A preventive replacement policy based on system critical condition;Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability;2015-06-02
4. Asymptotic Results for the Failure Time of Consecutive k-out-of-n Systems;Statistical and Probabilistic Models in Reliability;1999
5. Consecutive-k-out-of-n Systems;Fundamental Studies in Engineering;1993