Abstract

In this article, we compare two parallel systems of heterogeneous-independent Log–Lindley distributed components using the concept of matrix majorization. The comparisons are carried out with respect to the usual stochastic ordering when each component receives a random shock. It is proved that for two parallel systems with a common shape parameter vector, the majorized matrix of the scale and shock parameters leads to better system reliability. Results related to the comparison of two parallel systems having heterogeneous -dependent Log–Lindley component are also presented in terms of usual stochastic ordering.

中文翻译：

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比较具有 Log-Lindley 分布式组件的两个并行系统

摘要

在本文中，我们使用矩阵主要化的概念比较了两个异构独立 Log-Lindley 分布式组件的并行系统。当每个组件收到随机冲击时，将根据通常的随机排序进行比较。证明对于具有共同形状参数向量的两个并联系统，规模和冲击参数的主要矩阵导致更好的系统可靠性。与具有异质依赖 Log-Lindley 分量的两个并行系统的比较相关的结果也以通常的随机排序形式呈现。