Exact Confidence Limits for the Parameter of an Exponential Distribution in the Accelerated Life Tests under Type-ⅠCensoring

作     者：De-qiang ZHENG Xiang-zhong FANG De-qiang ZHENG;Xiang-zhong FANG

作者机构：School of Mathematical SciencesPeking UniversityBejing 100871China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2021年第37卷第2期

页      面：393-408页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported in part by the National Natural Science Foundation of China(Grant No.11171007) 

主　　题：mean life confidence limit acceleration factor sample space ordering relation 

摘      要：Life data frequently arise in many reliability studies,such as accelerated life tests *** paper considers the part of life data where failure and censoring observations may *** develop statistical methods and theory for the analysis of these data,a new approach was proposed to obtain the exact lower and upper confidence limits for the mean life of the exponential distribution with Type-I censoring *** is assumed that the acceleration factor is a random variable,and that the distribution of the acceleration factor is known from some empirical information or the meta analysis.A method for constructing the lower and upper confidence limits for the parameter based on an ordering relation among the sample space was *** studies and analyses of two examples suggest that the proposed method performed well.