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。
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。
In 1738, Daniel, trying to solve a problem in probability theory and the theory of gambling by use of the calculus, stumbled on the concept of the law of diminishing marginal utility of money.
在1738年，丹尼尔试图用微积分来解决一个概率论和赌博理论里的问题，无意间却发现了货币的边际效用递减法则的概念。
In 1738, Daniel, trying to solve a problem in probability theory and the theory of gambling by use of the calculus, stumbled on the concept of the law of diminishing marginal utility of money.
在1738年，丹尼尔试图用微积分来解决一个概率论和赌博理论里的问题，无意间却发现了货币的边际效用递减法则的概念。
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