Stochastic Comparisons of Extreme Order Statistics in the Heterogeneous Exponentiated Scale Model

被引：6
作者：
Esmaeil Bashkar
Hamzeh Torabi
Rasool Roozegar
机构：
[1] Yazd University,Department of Statistics
来源：
Journal of Statistical Theory and Applications | 2017年 / 16卷 / 2期
关键词：
Archimedean copula; exponentiated scale model; majorization; parallel system; series system;
D O I：
10.2991/jsta.2017.16.2.7
中图分类号：
学科分类号：
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.
引用
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页码：219 / 238
页数：19
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