| 关于随机变量期望方差的两个注记 |
| |
| 引用本文： | 徐亚茹,徐晓岭,顾蓓青.关于随机变量期望方差的两个注记[J].数学学习,2022,25(1):10-12. |
| |
| 作者姓名： | 徐亚茹 徐晓岭 顾蓓青 |
| |
| 作者单位： | 上海对外经贸大学统计与信息学院,上海201620 |
| |
| 摘 要： | 文献1]中给出了有关条件期望与三个随机变量独立的两个充要条件,本文通过几个反例说明其充分性是不成立的.分析了文献4]中一个定理证明存在的错误,并给出了新的证明.
|
| 关 键 词： | 期望 独立性 充要条件 充分条件 |
Two Notes on the Expectation and Variance of Random Variables |
| |
| XU Yaru,XU Xiaoling,GU Beiqing.Two Notes on the Expectation and Variance of Random Variables[J].Studies In College Mathematics,2022,25(1):10-12. |
| |
| Authors: | XU Yaru XU Xiaoling GU Beiqing |
| |
| Institution: | (School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China) |
| |
| Abstract: | Two necessary and sufficient conditions for conditional expectation and independence of three random variables are given in the reference1].Several counter examples are given to illustrate that their sufficiency is not valid in this paper.Besides,an error in the proof of a theorem in reference4]is analyzed,and a new proof is proposed. |
| |
| Keywords: | expectation independence necessary and sufficient condition |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
