Weibull分布型元件串联系统的可靠性广义置信区间  

A generalized confidence interval for reliability of series connection system with Weibull distribution components

作　　者：卢勤勤[1] 李新民[2] 张霞 

机构地区：[1]山东理工大学理学院,山东淄博255091 [2]青岛大学数学科学学院,山东青岛266071 [3]山东省淄博市公路管理局,山东淄博255000

出　　处：《山东理工大学学报（自然科学版）》2013年第3期18-20,共3页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：Weibull分布是可靠性工程中非常重要的分布,在描述疲劳失效和轴承失效等问题中有着广泛应用.利用广义枢轴量以及广义置信区间的概念,对由两参数Weibull分布组成的串联系统进行了研究,给出了其可靠性的广义置信区间,并给出比较简单直接的数值模拟方法.模拟计算表明所得广义置信区间的覆盖率比较令人满意.The Weibull distribution is one of the most widely used lifetime distributions in reliability and survival analysis.In the paper,using the concept of a generalized pivot and a generalized confidence interval,we consider a generalized confidence interval for the reliability of series connection composed of components with two-parameter Weibull distribution.The generalized confidence interval can be obtained by numerical method and the computations are simple and straightforward.We can obtain the coverage probability of the generalized confidence interval.Simulation study shows that the coverage probability of the generalized confidence interval is very excellent.

关 键 词：两参数WEIBULL分布 可靠性 串联系统 广义置信区间 覆盖率 

分 类 号：O213.2[理学—概率论与数理统计]