因而，关于随机变量的独立性的研究构成了概率的重要课题。

So it is the important subject in probability to study the independence of stochastic variable.

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本文证明了由两随机变量的独立性可推出它们的不相关性，但逆命题不成立。

In this paper, it is proved that two random variables' independence can infer their no-correlation and its untenable inverse proposition.

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然后引入了模糊概率随机变量的独立性，给出了离散型模糊概率随机变量的数学期望性质的证明。

Then the independence of random variables with fuzzy probability (RVFP) was introduced, with the characters of mathematical expectation of discrete RVFP proved.

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