STOCHASTIC ORDERING OF LIFETIMES OF PARALLEL AND SERIES SYSTEMS COMPRISING HETEROGENEOUS DEPENDENT COMPONENTS WITH GENERALIZED BIRNBAUM-SAUNDERS DISTRIBUTIONS

被引：1

作者：

Amiri, Mehdi ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

Jamalizadeh, Ahad ^{[3
,4
]}

机构：

[1] Univ Hormozgan, Fac Basic Sci, Dept Stat, Bandarabbas, Iran

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

[3] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Stat, Kerman, Iran

[4] Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, Iran

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2022年 / 36卷 / 01期

关键词：

Archimedean copula; log-concave function; majorization; parallel system; Schur-concave function; series system; stochastic order; LIFE DISTRIBUTIONS; FAMILY; MODELS; STATISTICS;

D O I：

10.1017/S0269964820000418

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we discuss stochastic orderings of lifetimes of two heterogeneous parallel and series systems with heterogeneous dependent components having generalized Birnbaum-Saunders distributions. The comparisons presented here are based on the vector majorization of parameters. The ordering results are established in some special cases for the generalized Birnbaum-Saunders distribution based on the multivariate elliptical, normal, t, logistic, and skew-normal kernels. Further, we use these results by considering Archimedean copulas to model the dependence structure among systems with generalized Birnbaum-Saunders components. These results have been used to derive some upper and lower bounds for survival functions of lifetimes of parallel and series systems.

引用

页码：49 / 65

页数：17

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