@stdlib/stats
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Standard library statistical functions.
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{{alias}}( x, k, λ )
Evaluates the moment-generating function (MGF) for a Weibull distribution
with shape parameter `k` and scale parameter `λ` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided a non-positive value for `λ` or `k`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
k: number
Shape parameter.
λ: number
Scale parameter.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 1.0, 1.0, 0.5 )
~2.0
> y = {{alias}}( -1.0, 4.0, 4.0 )
~0.019
> y = {{alias}}( NaN, 1.0, 1.0 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0 )
NaN
> y = {{alias}}( 0.0, 1.0, NaN )
NaN
> y = {{alias}}( 0.2, -1.0, 0.5 )
NaN
> y = {{alias}}( 0.2, 0.0, 0.5 )
NaN
> y = {{alias}}( 0.2, 0.5, -1.0 )
NaN
> y = {{alias}}( 0.2, 0.5, 0.0 )
NaN
{{alias}}.factory( k, λ )
Returns a function for evaluating the moment-generating function (MGF) of a
Weibull distribution with shape parameter `k` and scale parameter `λ`.
Parameters
----------
k: number
Shape parameter.
λ: number
Scale parameter.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var myMGF = {{alias}}.factory( 8.0, 10.0 );
> var y = myMGF( 0.8 )
~3150.149
> y = myMGF( 0.08 )
~2.137
See Also
--------