FactorialMomentGeneratingFunction

FactorialMomentGeneratingFunction[dist, t]
gives the factorial moment-generating function for the symbolic distribution dist as a function of the variable t.

FactorialMomentGeneratingFunction[dist, {t1, t2, ...}]
gives the factorial moment-generating function for the multivariate symbolic distribution dist as a function of the variables , , ....

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Basic Examples (3)Basic Examples (3)

The factorial moment-generating function (fmgf) for a univariate discrete distribution:

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Compute an fmgf for a continuous univariate distribution:

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The fmgf for a multivariate distribution:

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