Ordering results of extreme order statistics from dependent and heterogeneous modified proportional (reversed) hazard variables

被引：8
|
作者：
Zhang, Miaomiao [1 ]
Lu, Bin [1 ]
Yan, Rongfang [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 01期
基金：
中国国家自然科学基金;
关键词：
MPHR and MPRHR models; Archimedean copula; stochastic orders; majorization; SYSTEMS; FAMILY;
D O I：
10.3934/math.2021036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we carry out stochastic comparisons on extreme order statistics (i.e. smallest and largest order statistics) from dependent and heterogeneous samples following modified proportional hazard rates (MPHR) and modified proportional reversed hazard rates (MPRHR) models. We build the usual stochastic order for sample minimums and maximums, and the hazard rate order on minimums of sample and the reversed hazard rate order on maximums of sample are also derived, respectively. Finally, some examples are given to illustrate the theoretical results.
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页码：584 / 606
页数：23
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