探讨参数区间估计中枢轴量的选取--以单个正态总体均值为例  

Selection of Pivot Quantity in Interval Estimation of Parameter by Taking a Single Normal Population Mean as an Example

作　　者：刘彭 王晶[1] LIU Peng;WANG Jing(Department 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：《唐山师范学院学报》2022年第3期17-19,共3页Journal of Tangshan Normal University

基　　金：河南省高校人文社会科学研究一般项目(2022-ZDJH-00403)。

摘　　要：选取三个包含总体均值μ的枢轴量,借助R软件计算出的置信区间比较区间估计的精确度。结果表明,在保证区间估计可靠度的前提下,增大样本容量,缩短区间长度,可以作为参数区间估计中枢轴量的选取原则。The selection of pivot quantity in the interval estimation of a single normal population mean is discussed.Three pivoting quantities including the population meanμare selected and the corresponding confidence intervals are calculated.The empirical analysis is carried out with R software.The results show that on the premise of ensuring the reliability of interval estimation,increasing the sample size and shortening the interval length can be used as the selection principle of the central axis of parameter interval estimation.

关 键 词：总体均值 区间估计 枢轴量 R软件 

分 类 号：O212.1[理学—概率论与数理统计]