论文标题
从具有依赖性的多层量表模型中订购极端订单统计的结果
Ordering results of extreme order statistics from multiple-outlier scale models with dependence
论文作者
论文摘要
在本文中，我们关注的是来自具有依赖性的多层尺度模型的极端顺序统计数据的随机比较。 Archimedean Copula用于模拟非负随机变量之间的依赖性结构。从通常的随机危险率，星星和洛伦兹订单的意义上，获得了足够的条件，以比较最大的阶统计统计数据。还将最小的顺序统计数据与通常的随机，危险率，星和洛伦兹订单进行比较。为了说明理论机构，提供了一些示例。
In this paper, we focus on stochastic comparisons of extreme order statistics stemming from multiple-outlier scale models with dependence. Archimedean copula is used to model dependence structure among nonnegative random variables. Sufficient conditions are obtained for comparison of the largest order statistics in the sense of the usual stochastic, reversed hazard rate, star and Lorenz orders. The smallest order statistics are also compared with respect to the usual stochastic, hazard rate, star and Lorenz orders. To illustrate the theoretical establishments, some examples are provided.
