SIGNATURE-BASED REPRESENTATIONS FOR THE RELIABILITY OF SYSTEMS WITH HETEROGENEOUS COMPONENTS

被引：0

作者：

Navarro, Jorge ^{[1
]}

Samaniego, Francisco J. ^{[2
]}

Balakrishnan, N. ^{[3
,4
]}

机构：

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

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

[3] McMaster Univ, Hamilton, ON L8S 4K1, Canada

[4] King Saud Univ, Riyadh 11451, Saudi Arabia

来源：

JOURNAL OF APPLIED PROBABILITY | 2011年 / 48卷 / 03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 statistic; signature; mixture; copula; stochastic order; COHERENT SYSTEMS; ORDER-STATISTICS; LIFETIMES; MIXTURES; BOUNDS;

D O I：

暂无

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：

Signature-based representations of the reliability functions of coherent systems with independent and identically distributed component lifetimes have proven very useful in studying the ageing characteristics of such systems and in comparing the performance of different systems under varied criteria. In this paper we consider extensions of these results to systems with heterogeneous components. New representation theorems are established for both the case of components with independent lifetimes and the case of component lifetimes under specific forms of dependence. These representations may be used to compare the performance of systems with homogeneous and heterogeneous components.

引用

页码：856 / 867

页数：12

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