二维连续型随机变量函数的独立性探讨  

Discussion on the Independence of Two-dimensional Continuous Random Variable Function

作　　者：丁尚文 宁荣健[2] DING Shangwen;NING Rongjian(Foundation Department of Xuancheng Campus,Hefei University of Technology,Xuancheng Anhui 242000,China;School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学宣城校区基础部,安徽宣城242000 [2]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2023年第5期90-97,共8页College Mathematics

基　　金：安徽2021年省级教学质量与教学改革工程项目(2021xsxxkc241)。

摘　　要：给出了一种根据二维随机变量(X,Y)的密度函数f(x,y),构造相互独立的随机变量函数U=u(X,Y)和V=v(X,Y)的方法,丰富随机变量独立性的理论,探索X和Y的内在联系.This paper gives a method to construct independent random variable function U=u(X,Y)and V=v(X,Y)according to the density function f(x,y)of two-dimensional random variable(X,Y),which enriches the theory of random variable independence,and tries to explore the internal relationship between X and Y.

关 键 词：连续型随机变量 密度函数 独立性 正态分布 

分 类 号：O211.3[理学—概率论与数理统计] O211.5[理学—数学]