A novel reliability evaluation method on censored data

作者:Shen, Anwei*; Guo, Jilian; Wang, Zhuojian; Jia, Wentong
来源:Journal of Mechanical Science and Technology, 2017, 31(3): 1105-1117.
DOI:10.1007/s12206-017-0209-y

摘要

The effect of censored data on the average life of products was analyzed, and the relationships between the censored data and the reliability evaluation results were also given. A series of regression analysis function relationship was built to simplify the method of reliability evaluation on censored data. At a first step, a numerical simulation method was designed to create the random right censored data. Then the Bayesian and Markov chain Monte Carlo (MCMC) method was adopted to evaluate the reliability. Then we got the calculation deviation of Bayesian method under different sample sizes, different censored rates and different means of censored data. The relationships between the censored rates, the means of censored distribution and the reliability evaluation result were analyzed. Finally, we proposed the complete novel method through regression analysis. The corroboration of these relationships and the application to real life data demonstrate the advantages of the proposed methods.