This paper is devoted to some ordering results for the largest and the smallest order statistics arising from dependent heterogeneous exponentiated location-scale random observations. We assume that the sets of observations are sharing a common or different Archimedean copula(s). Sufficient conditions for which the usual stochastic order and the reversed hazard rate order between the extreme order statistics hold are derived. Various numerical examples are provided for the illustration of the proposed results. Finally, some applications of the comparison results in engineering reliability and auction theory are presented.

中文翻译：

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具有相关和异构随机样本的指数位置尺度模型的排序极值

本文致力于研究由相依异质指数位置尺度随机观测产生的最大和最小阶统计量的一些排序结果。我们假设观察集共享一个共同的或不同的阿基米德联结。推导出通常的随机顺序和极端顺序统计之间的反向危险率顺序成立的充分条件。提供了各种数值例子来说明所提出的结果。最后，介绍了比较结果在工程可靠性和拍卖理论中的一些应用。