This work considers stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is modeled by Archimedean survival copula. We discuss some potential applications of our findings in system reliability and actuarial science.
翻译:这项工作考虑对系列系统和平行系统的寿命期和平行系统的寿命期进行随机比较,其依赖性和多元性组成部分的寿命期按照比例差数(PO)模型(PO)计算,组成部分寿命期的联合分配由Archimedean生物存活圈模拟。我们讨论了在系统可靠性和精算科学方面我们发现的一些潜在应用。