= Factorial moment generating function
{wiki=Factorial_moment_generating_function}
The factorial moment generating function (FMGF) is a generating function that is particularly useful in probability and statistics for dealing with discrete random variables, especially those that take non-negative integer values. The FMGF is closely related to the moments of a random variable but is structured in a way that makes it suitable for analyzing distributions where counts or frequencies are relevant, like the Poisson distribution or the negative binomial distribution.
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