The aim of this paper is to introduce a new stochastic order based on the residual lifetimes of two nonnegative dependent random variables and the stochastic precedence order. We develop some characterizations and preservation properties of this stochastic order. In addition, we study some of its reliability properties and its relation with other existing stochastic orders. One of the possible applications in reliability theory has also been discussed.

中文翻译：

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剩余随机优先顺序

本文的目的是介绍一种基于两个非负相关随机变量的剩余寿命和随机优先顺序的新随机顺序。我们开发了这种随机顺序的一些特征和保存特性。此外，我们研究了它的一些可靠性特性以及它与其他现有随机顺序的关系。还讨论了可靠性理论中可能的应用之一。