二维离散型随机变量相互独立的判别准则

Criterion for the Mutual Independence of Bivariate Discrete Random Variables

在二维随机变量独立性定义的基础上,根据联合概率分布与边缘概率分布的关系,给出了二维离散型随机变量独立性的判定定理;通过引入联合概率分布矩阵概念,从矩阵形式、矩阵的秩以及向量线性关系的角度,提出了判别独立性的新方法.

Based on the independence definition of bivariate random variables,according to the relationship between the joint probability distribution and marginal probability distribution,the critical theorem is introduced for the independence of bivariate discrete random variables. With the concept of the joint probability distribution matrix,the new methods of judging independence are given from the aspect of matrix representation,the rank of matrix and linear relations among vectors.