Stochastic Comparisons of Used Coherent System and New System of Used Components for Non-identically Distributed and Dependent Components

被引：1

作者：

Fang, Rui ^{[1
]}

Li, Xiaohu ^{[2
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Stevens Inst Technol, Dept Math Sci, Hoboken, NJ 07030 USA

来源：

2017 IEEE INTERNATIONAL CONFERENCE ON SOFTWARE QUALITY, RELIABILITY AND SECURITY COMPANION (QRS-C) | 2017年

基金：

中国国家自然科学基金;

关键词：

Coherent system; Proportional hazards; Residual lifetime; Stochastic order; Survival copula; INACTIVITY TIME; RESIDUAL LIFE; PARALLEL SYSTEMS; LIFETIMES; SERIES;

D O I：

10.1109/QRS-C.2017.30

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

For components having dependent and possibly non-identically distributed lifetimes, we study the stochastic comparison between lifetimes of a used coherent system and a similar new system consisting of used components. Sufficient conditions for the usual stochastic order, the hazard rate order and the reversed hazard rate order under the situation when component lifetimes have general distribution are provided. As for proportional hazards component lifetimes, sufficient and necessary conditions guaranteeing several stochastic orders are derived, including the usual stochastic order, the hazard rate order, the reversed hazard rate order, the likelihood ratio order and the relative ageing orderings. Several numerical examples are provided for illustrations.

引用

页码：146 / 151

页数：6

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