二维离散型随机变量独立性证明的矩阵形式

The Matrix Representation for Proving Independence of Two-Dimensional Discrete Random Variable

目的:为了简化二维离散型随机变量的独立性证明过程.方法:引进二维离散型随机变量概率分布的矩阵形式A,用矩阵形式来判断独立性,再利用Matlab软件求解.结果:独立性判定的条件pij=pi.p.j转化为A=AIX.IYA.结论:二维离散型随机变量的独立性判断过程大大简化了.

Objective To simplifying the process of determining the independence for two-dimensional discrete random variables.Methods Through introducing the matrix form A of two-dimensional discrete probability distribution of random variables,use the matrix form and Matlab software to determine the independence of two-dimensional discrete random variables.Results The condition Pij=Pi·P·j for determining the independence becomes A=AIX·IYA.Conclusion The process of testing the independence for two-dimensional discrete random variables is greatly simplified.