Stochastic comparisons of series and parallel systems with dependent heterogeneous extended exponential components under Archimedean copula

被引：20

作者：

Barmalzan, Ghobad ^{[1
]}

Ayat, Seyed Masih ^{[2
]}

Balakrishnan, Narayanaswamy ^{[3
]}

Roozegar, Rasool ^{[4
]}

机构：

[1] Univ Zabol, Dept Stat, Sistan and Baluchestan, Iran

[2] Univ Zabol, Dept Math, Sistan and Baluchestan, Iran

[3] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[4] Yazd Univ, Dept Stat, Yazd, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 380卷

关键词：

Extended exponential distribution; Series systems; Parallel systems; Weak supermajorization order; Star order; Convex transform order; ORDER-STATISTICS; SKEWNESS; PARAMETER;

D O I：

10.1016/j.cam.2020.112965

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the usual stochastic, star and convex transform orders of both series and parallel systems comprising heterogeneous (and dependent) extended exponential components under Archimedean copula. Sufficient conditions are established for the star ordering between the lifetimes of series and parallel systems consisting of such dependent components. Under certain conditions on the Archimedean copula and the parameters, we also discuss convex transform order between the series and parallel systems. These results generalize some existing results in the literature to the case of dependent components as well as to a general family of component lifetime distributions. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：17

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