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单词 probability generating function
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probability generating function
probability generating function n. Statistics a function of a variable z which can be expressed as a power series in which the coefficient of zn is the probability that a given discrete random variable takes the integer value n.
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1940 Jrnl. Royal Statist. Soc. 103 8 F(z) is the probability-generating function (or in statistical mechanics, the partition function).
1968 P. A. P. Moran Introd. Probability Theory ii. 79 We consider the probability generating function obtained by multiplying (2.62) by zk and summing over the possible values.
2001 Proc. National Acad. Sci. U.S.A. 98 5702/1 For a given generation, this process is described by the following probability generating function.
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