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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-12 DOI:10.1186/s13660-024-03201-6

Mansour Shrahili

引用次数: 0

Abstract

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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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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.