摘要
通过样本容量为2的对称分布总体的样本,给出随机变量不独立但其函数可以独立的一个反例,在此基础上对该反例作进一步的分析研究,得到了一系列对《概率论与数理统计》教学有帮助的结果.
By means of a sample from symmetric distribution population with size 2,a counterexample is given to show that random variables are not independent while their functions can be independent.Furthermore,this counterexample is analyzed thoroughly,and a series of helpful results are obtained for the teaching of probability and mathematical statistics.
出处
《高等数学研究》
2015年第4期117-121,共5页
Studies in College Mathematics
基金
上海师范大学骨干教师教学激励计划教研团队建设项目
关键词
对称分布总体
样本
独立性
symmetric distribution population
sample
independence