CumulantGeneratingFunction

CumulantGeneratingFunction[dist,t]

gives the cumulant-generating function for the symbolic distribution dist as a function of the variable t.

CumulantGeneratingFunction[dist,{t1,t2,}]

gives the cumulant-generating function for the multivariate symbolic distribution dist as a function of the variables t1, t2, .

Details

Examples

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Basic Examples  (3)

Compute a cumulant-generating function (cgf) for a continuous univariate distribution:

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The cgf for a univariate discrete distribution:

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The cgf for a multivariate distribution:

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Scope  (5)

Applications  (5)

Properties & Relations  (3)

Possible Issues  (2)

See Also

Cumulant  CharacteristicFunction  MomentGeneratingFunction  CentralMomentGeneratingFunction  FactorialMomentGeneratingFunction  GeneratingFunction

Introduced in 2010
(8.0)