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June 2013 A note on the mixture representation of the conditional residual lifetime of a coherent system
Xiuying Feng, Shuhong Zhang, Xiaohu Li
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J. Appl. Probab. 50(2): 475-485 (June 2013). DOI: 10.1239/jap/1371648955

Abstract

This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.

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Xiuying Feng. Shuhong Zhang. Xiaohu Li. "A note on the mixture representation of the conditional residual lifetime of a coherent system." J. Appl. Probab. 50 (2) 475 - 485, June 2013. https://doi.org/10.1239/jap/1371648955

Information

Published: June 2013
First available in Project Euclid: 19 June 2013

zbMATH: 1301.62023
MathSciNet: MR3102494
Digital Object Identifier: 10.1239/jap/1371648955

Subjects:
Primary: 62E15
Secondary: 60K10

Rights: Copyright © 2013 Applied Probability Trust

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Vol.50 • No. 2 • June 2013
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