A necessary and sufficient condition for discriminating the independence of random variables directly from joint distribution instead of marginalprobabilitydistribution has been established.
本文建立了不需要求边缘概率分布而直接从联合分布判别独立性的一个充要条件。
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Note that the obvious compatibility condition, namely, that this marginalprobabilitydistribution be in the same class as the one derived from the full-blown stochastic process, is not a requirement.