文章基本信息

标题：Stochastic Comparisons of Extreme Order Statistics in the Heterogeneous Exponentiated Scale Model
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作者：Esmaeil Bashkar ; Hamzeh Torabi ; Rasool Roozegar 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2017
卷号：16
期号：2
页码：221-240
DOI：10.2991/jsta.2017.16.2.7
语种：English
出版社：Atlantis Press
摘要：The effect of heterogeneity on order statistics has attracted much attention in recent decades. In this paper, first, we discuss stochastic comparisons of extreme order statistics from independent heterogeneous exponentiated scale samples. These comparisons are made with respect to usual stochastic, reversed hazard rate and likelihood ratio orderings. Then, in the presence of the Archimedean copula or survival copula for the random variables, we obtain the usual stochastic order of the sample extremes. In addition, some examples and applications are illustrated.
关键词：Archimedean copula; exponentiated scale model; majorization; parallel system; series system.