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Asymptotic reliability of consecutive k-out-of-n systems
Part of
- Combinatorics
- Special processes
E. R. Canfield, W. P. Mccormick
Journal:

Journal of Applied Probability / Volume 29 / Issue 1 / March 1992

Published online by Cambridge University Press:

14 July 2016, pp. 142-155

Print publication:

March 1992
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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.

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Asymptotic reliability of consecutive k-out-of-n systems