Stochastic and ageing properties of coherent systems with dependent identically distributed components

被引：9

作者：

Kelkinnama, M. ^{[1
]}

Asadi, M. ^{[2
,3
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 81744, Iran

[2] Univ Isfahan, Dept Stat, Esfahan 81744, Iran

[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran

来源：

STATISTICAL PAPERS | 2019年 / 60卷 / 03期

关键词：

Residual lifetime; Inactivity time; Survival copula; Dependence; Signature vector; Reliability; RESIDUAL LIFETIMES;

D O I：

10.1007/s00362-016-0850-z

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：

In the study of reliability and stochastic properties of technical systems a realistic assumption is to consider the dependency between the components of the system. We investigate the reliability and stochastic properties of a coherent system where the component lifetimes of the system are identically distributed and the structural dependency of the components is expressed using a copula. We use the notion of distortion function to explore several ageing and stochastic properties of the residual and inactivity time of coherent systems and order statistics. Some illustrative examples are also provided.

引用

页码：455 / 471

页数：17

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