采用阿基米德协整的从属样本极值秩统计的随机排序结果

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-09-12 DOI:10.1186/s13660-024-03201-6

Mansour Shrahili

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引用次数: 0

摘要

本文考虑了具有异构组件的并联和串联系统，这些组件具有指数寿命。假定基本依赖关系是阿基米德式的，并且各分量的寿命根据阿基米德共线关系相连。我们找到了充分的条件，使一个具有异质指数成分的并行系统在分散阶次方面受另一个具有同质指数成分的并行系统的支配，其中各成分寿命之间的依赖结构是相同的。我们还比较了具有一般单参数依赖成分的两个串联系统（和两个并联系统），以及通常的随机排序。我们将举例说明理论发现。

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Stochastic ordering results on extreme order statistics from dependent samples with Archimedean copula

This paper considers parallel and series systems with heterogeneous components having dependent exponential lifetimes. The underlying dependence is assumed to be Archimedean and the component lifetimes are supposed to be connected according to an Archimedean copula. Sufficient conditions are found to dominate a parallel system with heterogenous exponential components, with respect to the dispersive order, by another parallel system with homogenous exponential components where the dependence structure between lifetimes of components is the same. We also compare two series systems (and two parallel systems) with general one-parameter dependent components and with respect to the usual stochastic ordering. Examples are given to illustrate the theoretical findings.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.