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On the Signatures of Ordered System Lifetimes

Part of: Nonparametric inference Special processes Operations research and management science

Published online by Cambridge University Press:  30 January 2018

N. Balakrishnan  and
William Volterman
N. Balakrishnan*
Affiliation:
McMaster University
William Volterman*
Affiliation:
McMaster University
*
∗ Postal address: Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4K1, Canada.
∗ Postal address: Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4K1, Canada.
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Abstract

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The idea of the system signature is extended here to the case of ordered system lifetimes arising from a test of coherent systems with a signature. An expression is given for the computation of the ordered system signatures in terms of the usual system signature for system lifetimes. Some properties of the ordered system signatures are then established. Closed-form expressions for the ordered system signatures are obtained in some special cases, and some illustrative examples are presented.

Keywords

Coherent systemorder statisticssystem signature

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection 62G30: Order statistics; empirical distribution functions
Type
Research Article
Information
Journal of Applied Probability , Volume 51 , Issue 1 , March 2014 , pp. 82 - 91
Copyright
© Applied Probability Trust 

References

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