Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap  

作　　者：Xin-tao XIA Yin-ping JIN Yong-zhi XU Yan-tao SHANG Long CHEN 

机构地区：[1]School of Mechatronical Engineering,Henan University of Science and Technology [2]School of Mechatronical Engineering,Northwestern Polytechnical University

出　　处：《Journal of Zhejiang University-Science C(Computers and Electronics)》2013年第2期143-154,共12页浙江大学学报C辑（计算机与电子（英文版）

基　　金：Project (Nos. 51075123 and 50675011) supported by the National Natural Science Foundation of China

摘　　要：With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative difference information of the experimental value vector to the theoretical value vector of reliability,six criteria of the minimum weighted relative entropy norm are established to extract the optimal information vector of the Weibull parameters in the reliability experiment of product lifetime.The rejection region used in the hypothesis testing is deduced via the area of intersection set of the estimated truth-value function and its confidence interval function of the three-parameter Weibull distribution.The case studies of simulation lifetime,helicopter component failure,and ceramic material failure indicate that the proposed method is able to reflect the practical situation of the reliability experiment.With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative difference information of the experimental value vector to the theoretical value vector of reliability,six criteria of the minimum weighted relative entropy norm are established to extract the optimal information vector of the Weibull parameters in the reliability experiment of product lifetime.The rejection region used in the hypothesis testing is deduced via the area of intersection set of the estimated truth-value function and its confidence interval function of the three-parameter Weibull distribution.The case studies of simulation lifetime,helicopter component failure,and ceramic material failure indicate that the proposed method is able to reflect the practical situation of the reliability experiment.

关 键 词：RELIABILITY Hypothesis testing Three-parameter Weibull distribution Weighted relative entropy NORM BOOTSTRAP 

分 类 号：TB114.3[理学—概率论与数理统计]