利用离散型随机变量的联合分布矩阵，得到了离散型随机变量独立性的一种判别方法，并用实例给出了一定的应用。

Making use of the joint distribution matrix of discrete random variables, we get a kind of judgement method about the independence of discrete random variables, give its application by example.

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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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对于多元正态随机变量二次型的独立性的证明，最重要的是证明一个引理。

It is very important to prove a lemma for the proof of the independence between two quadratic forms of multivariate normal variables.

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