基于Copula的带冷备部件的$k$ -out-of- $n$系统可靠性研究
A study on reliability of a $k$-out-of-$n$ system equipped with a cold standby component based on copula
摘要：
考虑由配备有单个冷备用组件的$n$可更换组件组成的$k$外$n$系统。所有的组件，包括备用假设是相关的，这种依赖性是由一个copula函数建模。得到了系统可靠度函数的精确表达式。我们还计算了三个不同的平均剩余寿命函数的系统。最后，给出了数值例子来说明理论结果.我们的研究是对文献中一些初步研究的补充。
英文摘要：
A $k$-out-of-$n$ system consisting of $n$ exchangeable components equipped with a single cold standby component is considered. All the components including standby are assumed to be dependent and this dependence is modeled by a copula function. An exact expression for the reliability function of the considered system has been obtained. We also compute three different mean residual life functions of the system. Finally, some numerical examples are provided to illustrate the theoretical results. Our studies subsume some of the initial studies in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
