Abstract

This paper treats the problem of stochastic comparisons of two parallel systems with independent heterogeneous components having lifetimes following exponentiated Kumaraswamy-G model. The cases of same and different parent distribution functions are considered. Majorization type partial orders-based sufficient conditions in comparing the largest order statistics in terms of the usual stochastic order, reversed hazard rate order and likelihood ratio order are obtained. The likelihood ratio order among largest order statistics is established for the heterogeneous multiple-outlier exponentiated Kumaraswamy-G models. Several numerical examples are presented for illustrations as well.

摘要

本文处理了两个具有独立异构组件的并行系统的随机比较问题，这些组件具有遵循指数化 Kumaraswamy- G模型的寿命。考虑了相同和不同父分布函数的情况。得到了基于大化型偏序的比较大序统计量的一般随机序、逆危险率序和似然比序的充分条件。为异构多异常值指数化的 Kumaraswamy- G模型建立最大阶统计中的似然比阶。还提供了几个数值示例用于说明。