The problem of stochastic comparison of two coherent systems has received a great attention in recent years. In the present work, we study the stochastic comparison of coherent systems with identically distributed (ID) components. We use the copula function to explore the structural dependency of the components. The comparison results are obtained based on the notion of distorted distributions. We focus on the residual lifetime orders and obtain comparison results for the mean and variance residual life orders of coherent systems with ID component lifetimes. In the sequel, we study ageing faster orders in the mean and variance residual lifetime and provide some sufficient conditions such that one coherent system dominates another system with respect to the proposed orders. Some illustrative examples are also given to demonstrate the theoretical results.

两个相干系统的随机比较问题近年来受到了极大的关注。在目前的工作中，我们研究了具有相同分布 (ID) 组件的相干系统的随机比较。我们使用 copula 函数来探索组件的结构依赖性。比较结果是基于失真分布的概念获得的。我们关注剩余寿命阶，并获得具有ID组件寿命的相干系统的均值和方差剩余寿命阶的比较结果。接下来，我们研究了平均和方差剩余寿命中老化更快的阶数，并提供了一些充分条件，使得一个相干系统在所提出的阶数方面支配另一个系统。