The judgment and application of the independence of random variables
Hou Yu-shuang · Journal of Inner Mongolia University of Science and Technology · 2008
The independence of random variable is the important concept of probability theory.This paper studies the independence of two common random variables:two-dimensional discrete random variables and two-dimensional continuous randow variables.For two-dimensional discrete random variables,the conclusion was firstly obtained by simple examples,then illustrated from the aspect of linear algebra,and later explained form the elementary transformation of Matrix and the relevant concepts of Rank.For two-dimensional continuous random variables,its application was also illustrated with examples while introducing a theorem explicitly.