基于田口可靠性试验的截尾数据处理方法  

A method to handle censored data generated by Taguchi reliability experiments

作　　者：蒋仁言[1] 刘超[1] JIANG Renyan;LIU Chao(Faculty of Automotive and Mechanical Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学汽车与机械工程学院,湖南长沙410114

出　　处：《长沙理工大学学报（自然科学版）》2023年第2期1-9,共9页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(71771029)。

摘　　要：【目的】当田口方法用于产品可靠性改进时,作为响应变量的寿命的观测数据通常是截尾的。对于截尾数据,田口数据分析方法不再适用,需寻求新的数据处理方法解此问题。【方法】提出威布尔分位函数近似法估计右截尾时间的中位剩余寿命,并用截尾时间和中位剩余寿命之和代替右截尾寿命,从而将不完全数据变换为完全数据,进而完成田口数据分析。【结果】通过两个仿真数例,说明了采用所提出方法得到的中位剩余寿命估计是相对精确的、稳健的;通过一个实例,说明了该方法的有用性。【结论】本文为可靠性改进试验数据分析提供了一个简单有效的数据处理方法。[Purposes]When the Taguchi method is used to improve product reliability,the observations of lifetime(as response)may be censored while the Taguchi data analysis method is not applicable for such data.A new method is needed to address this issue.[Methods]A Weibull approximation approach is proposed to estimate the median residual life of a right-censored observation,and the sum of censored time and estimated median residual life is used to replace the censored observation.In this way,incomplete data are transformed into complete data so that the Taguchi data analysis method can be used.[Findings]Two simulation numerical examples are used to illustrate the accuracy and robustness of the proposed method and a real-world example is used to illustrate its usefulnesss.[Conclusions]Thus,the paper provides a simple and effective method for analyzing the data from reliability improvement experiments.

关 键 词：田口方法 可靠性改进 截尾数据 威布尔分位函数 中位剩余寿命 

分 类 号：TB114.3[理学—概率论与数理统计]