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.%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.
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