STOCHASTIC COMPARISONS OF COHERENT SYSTEMS UNDER DIFFERENT RANDOM ENVIRONMENTS

被引：7

作者：

Amini-Seresht, Ebrahim

Zhang, Yiying ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

机构：

[1] Univ Hong Kong, Dept Stat & Actuarial Sci, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L85 4K1, Canada

来源：

JOURNAL OF APPLIED PROBABILITY | 2018年 / 55卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Coherent system; random environment; stochastic order; distortion function; dependent component; MULTIVARIATE MIXTURE-MODELS; FRAILTY MODELS; DEPENDENT COMPONENTS; ORDERINGS; DISTRIBUTIONS;

D O I：

10.1017/jpr.2018.30

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：

For many practical situations in reliability engineering, components in the system are usually dependent since they generally work in a collaborative environment. In this paper we build sufficient conditions for comparing two coherent systems under different random environments in the sense of the usual stochastic, hazard rate, reversed hazard rate, and likelihood ratio orders. Applications and numerical examples are provided to illustrate all the theoretical results established here.

引用

页码：459 / 472

页数：14

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