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单词 probability generating function
释义

probability generating function

If X is a random variable where X takes only non-negative integer values, then GX(s) =  E(sX) is the probability generating function (pgf). Then

The mean and variance of X can also be computed using the pgf from

The pgf of the sum X + Y of two independent random variables is given by

and for random sampling, where Z = X1  + … + XN, with N itself a random variable and the Xi are iid, then inline

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更新时间:2025/4/29 6:32:57