A necessary and sufficient condition for discriminating the independence of random variables directly from joint distribution instead of marginal probability distribution 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。

youdao

Note that the obvious compatibility condition, namely, that this marginal probability distribution be in the same class as the one derived from the full-blown stochastic process, is not a requirement.

请注意，明显兼容性条件，即这一边缘概率分布是在同一个班的一名来自全套随机过程，不是一个要求。

youdao