In this paper, we consider exponentiated location-scale model and obtain several ordering results between extreme order statistics in various senses. Under majorization type partial order-based conditions, the comparisons are established according to the usual stochastic order, hazard rate order and reversed hazard rate order. Multiple-outlier models are considered. When the number of components are equal, the results are obtained based on the ageing faster order in terms of the hazard rate and likelihood ratio orders. For unequal number of components, we develop comparisons according to the usual stochastic order, hazard rate order, and likelihood ratio order. Numerical examples are considered to illustrate the results.

中文翻译：

---

求幂位置尺度模型极值的排序结果

在本文中，我们考虑指数位置尺度模型，并在各种意义上的极端顺序统计之间获得了几个排序结果。在基于主要化类型偏序的条件下，根据通常的随机顺序、危险率顺序和反向危险率顺序建立比较。考虑了多个异常值模型。当分量数量相等时，根据危险率和似然比顺序，根据老化更快顺序获得结果。对于不相等数量的组件，我们根据通常的随机顺序、风险率顺序和似然比顺序进行比较。数值例子被考虑来说明结果。