Journal of Applied Probability

A note on the mixture representation of the conditional residual lifetime of a coherent system

Xiuying Feng, Shuhong Zhang, and Xiaohu Li

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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.

Article information

Source
J. Appl. Probab., Volume 50, Number 2 (2013), 475-485.

Dates
First available in Project Euclid: 19 June 2013

Permanent link to this document
https://projecteuclid.org/euclid.jap/1371648955

Digital Object Identifier
doi:10.1239/jap/1371648955

Mathematical Reviews number (MathSciNet)
MR3102494

Zentralblatt MATH identifier
1301.62023

Subjects
Primary: 62E15: Exact distribution theory
Secondary: 60k10

Keywords
Coherent system order statistics residual lifetime signature stochastic order

Citation

Feng, Xiuying; Zhang, Shuhong; Li, Xiaohu. A note on the mixture representation of the conditional residual lifetime of a coherent system. J. Appl. Probab. 50 (2013), no. 2, 475--485. doi:10.1239/jap/1371648955. https://projecteuclid.org/euclid.jap/1371648955


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