含屏蔽数据四单元混联系统的可靠性分析  

Reliability analysis of four-unit hybrid systems with masked data

作　　者：刘艳超[1] 师义民[1] 师小琳[2] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072 [2]西安邮电大学电子工程学院,陕西西安710121

出　　处：《系统工程与电子技术》2017年第5期1183-1188,共6页Systems Engineering and Electronics

基　　金：国家自然科学基金(71571144;71401134;71171164);陕西省自然科学基础研究计划(2015JM1003)资助课题

摘　　要：讨论了两种含屏蔽数据四单元混联系统的可靠性分析问题。在单元失效率为指数函数的情形下,详细推导出两种混联系统在逐步Ⅱ型混合截尾试验下的似然函数。利用极大似然方法给出了单元分布参数及系统可靠度函数的极大似然估计,采用似然比方法构造了未知参数的近似置信区间。最后运用蒙特卡罗方法进行随机模拟,验证了所提方法的正确性和有效性。The problem of reliabil i ty analysis for two fundamental four-uni t hybrid systems wi th masked da-ta is investigated. Assume that the failure rate of unit is the exponential function, the likelihood function of two hybrid systems with masked data is deduced in detail under progressively type II hybrid censored test. The max-imum likelihood estimation of the unit distribution parameters and system reliability are presented by using the maximum likelihood method. In addition,the approximate confidence intervals of unknown parameters are ob-tained by using the likelihood ratio method. Finally, the Monte-Carlo simulation numerical example is given to verify the correctness and effectiveness of the proposed method.

关 键 词：屏蔽数据 混联系统 指数失效率函数 逐步混合截尾 极大似然估计 置信区间 蒙特卡罗模拟 

分 类 号：O213.2[理学—概率论与数理统计]