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

Part of:Special processesCombinatorics

Published online by Cambridge University Press:  14 July 2016

E. R. Canfield and
W. P. Mccormick
E. R. Canfield*
Affiliation:
University of Georgia
W. P. Mccormick*
Affiliation:
University of Georgia
*
∗ Postal address: Department of Computer Science, The University of Georgia, 415 Graduate Studies Center, Athens, GA 30602, USA.
∗∗ Postal address: Department of Statistics, The University of Georgia, Athens, GA 30602, USA.
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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.

Keywords

LIMIT LAWSGENERATING FUNCTIONSI.I.D. SEQUENCESRELIABILITY

MSC classification

Primary:60K10: Applications (reliability, demand theory, etc.)
Secondary:05A15: Exact enumeration problems, generating functions

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 1 , March 1992, pp. 142 - 155
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

Research supported by the National Security Agency.

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