关于二维随机变量独立性问题的探讨  

On Independence of Two-dimensional Random Variables

作　　者：张茜茜 ZHANG Xixi(School of Mathematics and Statistics,North-Eastern University at Qin Huangdao,Qin Huangdao 066000,PRC)

机构地区：[1]东北大学秦皇岛分校数学与统计学院,河北秦皇岛066000

出　　处：《高等数学研究》2021年第4期57-59,共3页Studies in College Mathematics

摘　　要：本文通过分析一个课后习题分析了两个随机变量不独立,但它们的平方独立的奇妙现象,发现两种不同类型的联合密度函数具有这种特性,给出了一个一般性的定理且进行了证明.最后,实例验证了此定理.This paper analyzes the phenomenon that two random variables are not independent but their squares are independent,and finds two different types of joint density functions that have this property.A general theorem is established and proved and an example is given to verify the theorem.

关 键 词：独立性 二维随机变量 联合密度函数 

分 类 号：O211.5[理学—概率论与数理统计]