期刊论文

中文

湖南文理学院学报(自然科学版)

1672-6146

2017

29

3

20-21,38

10.3969/j.issn.1672-6146.2017.03.005

(KC201503):长沙理工大学重点课程 (KC201501):长沙理工大学大学生创新性项目

本校为第一机构

利用协方差与正态分布的性质给出了样本均值与样本方差独立性的一个简单证明, 得到了正态总体下样本均值与样本方差的分布, 并对其直观意义进行了解释.

The sample distribution theorem from normal population is an important content of mathematical statistics. The independence of sample mean and sample variance are simply proved by using the properties of covariance and normal distribution. Distributions of sample mean and sample variance with normal population are obtained, and so...