数理统计数学中关于次序估计量的比较分析——基于两参数对数正态分布和威布尔分布  

Comparative Analysis of Order Statistics in Mathematical Statistical Teaching—Based on Two-parameter Lognormal and Weibull Distributions

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

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：《高等数学研究》2025年第1期53-56,共4页Studies in College Mathematics

基　　金：应用统计学国家一流专业建设;上海市高校市级重点课程建设项目“贝叶斯统计”(2024)资助。

摘　　要：针对两参数对数正态分布和威布尔分布,给出了第k个次序统计量“重要性”的定义,并将次序统计量按“重要性”从高到低进行了排序.论文最后研究了通过三个和四个次序统计量的构造求三参数对数正态分布和威布尔分布位置参数置信区间的枢轴量的优选问题.For the two-parameter lognormal and Weibull distributions,the‘importance’of the k-th order statistic is defined,and the order statistics are ranked from high to low in terms of importance.Finally,by constructing the third and fourth order statistics,the optimal selection of pivot quantities for the confidence interval of the location parameter is studied for the three-parameter lognormal and Weibull distributions.

关 键 词：次序统计量 对数正态分布 威布尔分布 

分 类 号：O211[理学—概率论与数理统计]