@stdlib/stats
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Standard library statistical functions.
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{{alias}}( t, μ, b )
Evaluates the moment-generating function (MGF) for a Laplace
distribution with scale parameter `b` and location parameter `μ` at a
value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided `b <= 0`, the function returns `NaN`.
Parameters
----------
t: number
Input value.
μ: number
Location parameter.
b: number
Scale parameter.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 0.5, 0.0, 1.0 )
~1.333
> y = {{alias}}( 0.0, 0.0, 1.0 )
1.0
> y = {{alias}}( -1.0, 4.0, 0.2 )
~0.019
> y = {{alias}}( NaN, 0.0, 1.0 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0 )
NaN
> y = {{alias}}( 0.0, 0.0, NaN )
NaN
> y = {{alias}}( 1.0, 0.0, 2.0 )
NaN
> y = {{alias}}( -0.5, 0.0, 4.0 )
NaN
> y = {{alias}}( 2.0, 0.0, 0.0 )
NaN
> y = {{alias}}( 2.0, 0.0, -1.0 )
NaN
{{alias}}.factory( μ, b )
Returns a function for evaluating the moment-generating function (MGF)
of a Laplace distribution with scale parameter `b` and location parameter
`μ`.
Parameters
----------
μ: number
Location parameter.
b: number
Scale parameter.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var mymgf = {{alias}}.factory( 4.0, 2.0 );
> var y = mymgf( 0.2 )
~2.649
> y = mymgf( 0.4 )
~13.758
See Also
--------