关于热备用系统的一点注记
A Note on Warm Standby System
摘要：
本文研究了在什么情况下，一个热备用系统（由n个活动部件和m个热备用部件组成）在相应系统的活动部件发生$k$ th故障时，比另一个类似系统具有更多的存活热备用部件。由于这类分量的个数是随机的，本文对不同的随机序，即普通随机序、危险率序和反向危险率序以及似然比序进行了比较。
英文摘要：
In this note, we investigate, under what circumstances, a warm standby system (formed by n active components and m warm standby components) has more number of surviving warm standby components than another similar system at the time of $k$th failure of the active component of the respective system. The number of such components being random, the comparison has been done with respect to different stochastic orders, viz. usual stochastic order, hazard rate and reversed hazard rate orders, and likelihood ratio order.
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。
