两参数Birnbaum-Saunders疲劳寿命分布拟合检验与参数的区间估计  

Fitting Test of Two-parameter Birnbaum-Saunders Fatigue Life Distribution and Interval Estimation of Parameters

作　　者：顾蓓青 王蓉华[2] 徐晓岭 Gu Beiqing;Wang Ronghua;Xu Xiaoling(School of Statistics and Information,Shanghai University of International Business and Economics,Shanghai 201620,China;Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海对外经贸大学统计与信息学院,上海201620 [2]上海师范大学数理学院,上海200234

出　　处：《统计与决策》2021年第24期19-23,共5页Statistics & Decision

基　　金：国家自然科学基金资助项目(11671264);上海师范大学国家自然科学基金培育计划项目(309-AC7001-21-003040)。

摘　　要：两参数Birnbaum-Saunders疲劳寿命分布是可靠性工程中非常重要的分布之一。文章给出了全样本场合下两参数Birnbaum-Saunders疲劳寿命分布拟合检验的三种方法,通过Monte-Carlo模拟比较了方法的优劣;给出了求刻度参数与形状参数的区间估计的几种方法,并结合已有的方法通过模拟比较了方法的优劣。Two-parameter Birnbaum-Saunders fatigue life distribution is one of the important distributions in reliability engineering. This paper presents three methods for fitting test of two-parameter Birnbaum-Saunders fatigue life distribution based on full sample, and then compares the advantages and disadvantages of these methods through Monte-Carlo simulation. The paper alsoprovidesseveral methods for interval estimations of scale parameters and shape parameters, and compares the advantages and disadvantages of these methods by using existing methods through simulations.

关 键 词：两参数Birnbaum-Saunders疲劳寿命分布 拟合检验 刻度参数 形状参数 

分 类 号：O21[理学—概率论与数理统计]