@stdlib/stats
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Standard library statistical functions.
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{{alias}}( t, p )
Evaluates the moment-generating function (MGF) for a geometric
distribution with success probability `p` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If `p < 0` or `p > 1`, the function returns `NaN`.
If `t >= -ln(1-p)`, the function returns `NaN`.
Parameters
----------
t: number
Input value.
p: number
Success probability.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 0.2, 0.5 )
~1.569
> y = {{alias}}( 0.4, 0.5 )
~2.936
// Case: t >= -ln(1-p)
> y = {{alias}}( 0.8, 0.5 )
NaN
> y = {{alias}}( NaN, 0.0 )
NaN
> y = {{alias}}( 0.0, NaN )
NaN
> y = {{alias}}( -2.0, -1.0 )
NaN
> y = {{alias}}( 0.2, 2.0 )
NaN
{{alias}}.factory( p )
Returns a function for evaluating the moment-generating function (MGF) of a
geometric distribution with success probability `p`.
Parameters
----------
p: number
Success probability.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var mymgf = {{alias}}.factory( 0.8 );
> var y = mymgf( -0.2 )
~0.783
See Also
--------