枢轴量选取对正态总体方差区间估计的影响  

Influence of pivot selection on the interval estimation of normal population's variance

作　　者：王晶[1] 刘彭 WANG Jing;LIU Peng(School of Information Science and Engineering,Shandong Agricultural University,Taian 271018,China)

机构地区：[1]山东农业大学信息科学与工程学院,山东泰安271018

出　　处：《高师理科学刊》2022年第1期7-10,14,共5页Journal of Science of Teachers＇College and University

基　　金：山东农业大学校级课程思政教改项目(S2021042)。

摘　　要：参数估计是统计学中三大基本方法之一,在进行参数的区间估计时常使用枢轴量法构造置信区间,枢轴量的选择是其中的关键所在.当总体服从正态分布且均值已知时,在对方差这一参数构造置信区间的过程中,可供选择的枢轴量是不唯一的.针对2种不同情况,基于置信区间精度这一标准,通过比较具体讨论了选择较好枢轴量的方法,通过随机模拟结果和实例计算结果进行了验证.Parameter estimation is one of the three basic methods in statistics.The pivot method is often used to construct the confidence interval in the interval estimation of parameters,and the selection of pivot is the key problem.When the population′s distribution is normal and the mean is known,the pivot is not unique in the process of constructing the confidence interval of the variance. For two different cases, based on the standard of confidence interval accuracy,the method of selecting better pivot quantity is discussed in detail through comparison,which is verified by random simulation results and example calculation results.

关 键 词：方差 区间估计 枢轴量 

分 类 号：O212.1[理学—概率论与数理统计]