Consider two batches of independent or interdependent exponentiated location-scale distributed heterogeneous random variables. This article investigates ordering results for the second-order statistics from these batches when a vector of parameters is switched to another vector of parameters in the specified model. Sufficient conditions for the usual stochastic order and the hazard rate order are derived. Some applications of the established results are presented.
翻译:考虑两批独立或互相依存的按位置标尺分布的分布式随机变量。本条款调查当参数矢量转换到指定模型中另一个参数矢量时,这些批量的第二顺序统计结果的定序结果。提出了通常的随机顺序和危险率顺序的充分条件。介绍了既定结果的一些应用。