@stdlib/stats
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Standard library statistical functions.
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{{alias}}( x, λ )
Evaluates the moment-generating function (MGF) for a Poisson distribution
with mean parameter `λ` at a value `x`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided a negative value for `λ`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
λ: number
Mean parameter.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 1.0, 1.5 )
~13.163
> y = {{alias}}( 0.5, 0.5 )
~1.383
> y = {{alias}}( NaN, 0.5 )
NaN
> y = {{alias}}( 0.0, NaN )
NaN
> y = {{alias}}( -2.0, -1.0 )
NaN
{{alias}}.factory( λ )
Returns a function for evaluating the moment-generating function (MGF) of a
Poisson distribution with mean parameter `λ`.
Parameters
----------
λ: number
Mean parameter.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var myMGF = {{alias}}.factory( 2.0 );
> var y = myMGF( 0.1 )
~1.234
See Also
--------