正态总体均值置信区间长度的比较  

Comparison of the Length of the Normal Population Mean Confidence Interval

作　　者：石捡情 刘继成[1] 刘显明 SHI Jian-qing;LIU Ji-cheng;LIU Xian-ming(School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中科技大学数学与统计学院,武汉430074

出　　处：《大学数学》2021年第2期37-41,共5页College Mathematics

基　　金：国家自然科学基金项目(11971186);华中科技大学教学研究项目(2016051,2018094)。

摘　　要：当单个正态总体方差分别为已知和未知时,总体均值置信区间的长度比较问题仍待探讨.利用样本标准差数学期望的性质,通过积分变换的方法证明了前者小于后者的期望.When the variance of a single normal population is known and unknown,the length comparison of the population mean confidence interval is still to be explored.By using the properties of mathematical expectation of the sample standard deviation,it is proved that the former is less than the expectation of the latter by the method of integral transformation.

关 键 词：置信区间 数学期望 分位数 

分 类 号：O211.3[理学—概率论与数理统计]