中文摘要：

主要定义了由n个独立同分布元件构成的n中取k系统一类新的剩余寿命和休止时间,即在时刻t系统正常工作且第k个元件还未失效时,寿命为Xm∶n（1≤m≤k≤n）的第m个元件的剩余寿命以及休止时间.利用条件概率和随机序给出了系统的剩余寿命和休止时间的可靠度函数,建立了剩余寿命的几个随机比较,并得到系统的平均剩余寿命（MRL）和平均休止时间（MPL）.此研究结果在电气工程和可靠性等领域都有着广泛的应用.

英文摘要：

A new residual life and inactivity time of k-out-of-n system with independent n components distributed identically are defined,obtaining that k-th component is still working at time t, the residual life and inactivity time of rn-th component are studied,and the reliability function of the residual life and inactivity time are established. After that, some stochastic comparisons are presented based on the residual life. The mean residual lifetime （MRL） function of the system and the mean past lifetime （MPL） function of the component are conducted. These results will be widely used in electrical engineering and reliability.