论文标题
串联和并行系统的常规随机排序结果，其组件具有指示性的分布
Usual stochastic ordering results for series and parallel systems with components having Exponentiated Chen distribution
论文作者
论文摘要
在本文中，我们讨论了两个系统之间通常的随机订购关系。每个系统由n个相互独立的组件组成。该组件遵循带有三个参数$α，β，λ$的浓度（扩展）Chen分布。考虑了两个流行的系统，一个是系列系统，另一个是平行系统。本文中的结果是通过改变一个参数而获得的，而其他参数保持恒定。在反例的帮助下，已经证明了串联或平行系统不可能的危险率订购或逆转危险率订购关系。
In this paper, we have discussed the usual stochastic ordering relations between two systems. Each system consists of n mutually independent components. The components follow Exponentiated (Extended) Chen distribution with three parameters $α, β, λ$. Two popular systems are taken into consideration, one is the series system and another is the parallel system. The results in this paper are obtained by varying one parameter and the other parameters are kept constant. The hazard rate ordering or reversed hazard rate ordering relations that are not possible for series or parallel systems have been demonstrated with the help of counterexamples.
