随机变量独立性判断的一个充要条件

A necessary and sufficient condition judgment upon independence of random variables

研究n(n≥2)维随机变量相互独立性问题,给出连续型随机变量相互独立性判断的一个充要条件,主要结果避开测度论知识,并举例验证所得结果.

Mutual independence of n-dimensional（n≥2） random variables was studied. A sufficient and necessary condition for the independence judgment of the continuous random variables was obtained. The result avoided the measure theory as a reference knowledge. Finally, an example was given to illustrate the result obtained.