正态分布中方差的稳健检验  

Robust Test of Variance in Normal Distribution

作　　者：胡宏昌 李检 HU Hongchang;LI Jian(School of Mathematics and Statistics,Hubei Normal University,Huangshi Hubei 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《大学数学》2023年第2期84-87,共4页College Mathematics

摘　　要：对子样四分位极差和正态分布根方差估计量的密度函数进行了修正;通过模拟产生随机数据,利用基于四分位极差和子样方差估计而构造的检验统计量对正态分布的方差进行检验,结果说明了前者检验方法具有稳健性,且优于后者.We modify density functions for the estimator of the quartile deviation and the root variance of the normal distribution.And then,for generating the simulation random number,we perform two tests for variance of normal distribution by the test statistics based on quartile deviation and sample variance estimation.It is shown that the former test method is robustness,and superior to the latter.

关 键 词：稳健检验 卡方检验 四分位极差 根方差估计 

分 类 号：O212.1[理学—概率论与数理统计]