Likelihood ratio test interval estimation of reliability indices for numerical control machine tools

被引：9
作者：
Yang, Jianguo [1 ]
Wang, Zhiming [1 ]
Wang, Guoqiang [2 ]
Zhang, Genbao [2 ]
机构：
[1] School of Mechanical Engineering, Shanghai Jiao Tong University
[2] College of Mechanical Engineering, Chongqing University
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2012年 / 48卷 / 02期
关键词：
Interval estimation; Likelihood ratio; Mean time between failures; Reliability; Weibull distribution;
D O I：
10.3901/JME.2012.02.009
中图分类号：
学科分类号：
摘要：
To evaluate reliability of multiple numerical control machine tools with field time truncated failure and small sample data, a two-step and bisectional interval method of likelihood ratio test is proposed, this method consist of firstly rough estimation and lastly accuracy estimation, and iterative formula of interval estimation for model parameters of 2-parameter Weibull distribution and reliability indices including mean time between failures, operational time given reliability and reliability at given time are all derived. In rough estimation process, a larger calculating step can be used to search maximum value of convex carve and minimum value of concave curve for assessment indices; At accuracy estimation stage, to obtain more accuracy computing results, bisectional interval of the two sides of maximum (minimum) value can be recalculated until the evaluation results meet the requirement of estimated accuracy. By using the proposed method, point estimation of model parameters and interval estimation of reliability indices for a detail example are presented. The results show that this method is suitable for reliability assessment to small sample data and can reduce computing and improve iterative speed. ©2012 Journal of Mechanical Engineering.
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页码：9 / 15+22
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