For bivariate random lifetimes, we study the role of stochastic dependence through conducting stochastic comparison on the residual life, inactivity time and some aging behavior of one marginal conditioned by the survival or failure of the other. The main results serve as essential supplement to those related ones of Bassan and Spizzichino (1999) and Longobardi and Pellerey (2019). Applications in frailty, resilience and load-sharing models are presented as well.

中文翻译：

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一些应用中剩余寿命和不活动时间的随机依赖性

对于二元随机寿命，我们通过对剩余寿命、不活动时间和一个边缘的一些老化行为进行随机比较来研究随机依赖的作用，这些行为由另一个边缘的生存或失败决定。主要结果是对 Bassan 和 Spizzichino (1999) 以及 Longobardi 和 Pellerey (2019) 的相关结果的必要补充。还介绍了脆弱性、弹性和负载共享模型中的应用。