MIXTURE REPRESENTATIONS OF RESIDUAL LIFETIMES OF USED SYSTEMS

被引：94

作者：

Navarro, Jorge ^{[1
]}

Balakrishnan, N. ^{[2
]}

Samaniego, Francisco J. ^{[3
]}

机构：

[1] Univ Murcia, Fac Matemat, E-30100 Murcia, Spain

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[3] Univ Calif Davis, Davis, CA 95616 USA

来源：

JOURNAL OF APPLIED PROBABILITY | 2008年 / 45卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Coherent system; k-out-of-n system; order statistics; signature; stochastic ordering;

D O I：

10.1239/jap/1231340236

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The representation of the reliability function of the lifetime of a coherent system as a mixture of the reliability function of order statistics associated with the lifetimes of its components is a very useful tool to study the ordering and the limiting behaviour of coherent systems. In this paper, we obtain several representations of the reliability functions of residual lifetimes of used coherent systems under two particular conditions on the status of the components or the system in terms of the reliability functions of residual lifetimes of order statistics.

引用

页码：1097 / 1112

页数：16

共 16 条

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