单调关联系统条件休止时间的随机性质  

On the Conditional Inactivity Time of Coherent Systems

作　　者：贾彬霞 张正成[1] JIA Bin-Xia;ZHANG Zheng-cheng(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2018年第2期12-18,36,共8页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：从元件寿命顺序统计量的条件休止时间出发,得到了由n个独立同分布元件构成的单调关联系统的条件休止时间可靠度函数的混合表达式,并建立在该混合表达式上,研究了独立同分布元件条件休止时间的随机性质.此研究结果在可靠性、金融分析等领域都有较为广泛的应用.In this paper,we derive mixture representations for the reliability functions of the conditional inactivity time of a coherent system with independent and identically distributed components,which are built from the reliability functions of conditional inactivity times of order statistics.Based on these mixture representations,we study stochastic comparisons on the conditional inactivity time of two coherent systems with independents and identically distributed components.These results will be widely used in reliability,financial analysis.

关 键 词：SIGNATURE 单调关联系统 休止时间 次序统计量 随机序 

分 类 号：O213.2[理学—概率论与数理统计]