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Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence
Journal of the Korean Statistical Society ( IF 0.6 ) Pub Date : 2021-03-10 , DOI: 10.1007/s42952-021-00109-5 Hossein Nadeb , Hamzeh Torabi , Ali Dolati
中文翻译:
阿基米德copula依赖下因随机变量产生的极阶统计量通常随机排序的一些一般结果。
更新日期:2021-03-10
Journal of the Korean Statistical Society ( IF 0.6 ) Pub Date : 2021-03-10 , DOI: 10.1007/s42952-021-00109-5 Hossein Nadeb , Hamzeh Torabi , Ali Dolati
In this paper, we provide some general results for the usual stochastic ordering of the extreme order statistics arising from two sets of random variables with different marginal distributions and different underlying Archimedean copulas structure. Application to some general models as marginal distributions which are including the well-known semiparametric family of distributions in statistics, is discussed.
中文翻译:
阿基米德copula依赖下因随机变量产生的极阶统计量通常随机排序的一些一般结果。
在本文中,我们提供了由两组具有不同边际分布和不同基础阿基米德族语系结构的随机变量产生的极端顺序统计信息的通常随机排序的一些一般结果。讨论了作为边缘分布的一些通用模型的应用,其中包括统计中众所周知的半参数分布族。