@stdlib/stats
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Standard library statistical functions.
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{{alias}}( x, μ, σ )
Evaluates the moment-generating function (MGF) for a normal distribution
with mean `μ` and standard deviation `σ` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided `σ <= 0`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
μ: number
Location parameter.
σ: number
Standard deviation.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 2.0, 0.0, 1.0 )
~7.389
> y = {{alias}}( 0.0, 0.0, 1.0 )
1.0
> y = {{alias}}( -1.0, 4.0, 2.0 )
~0.1353
> 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}}( 2.0, 0.0, 0.0 )
NaN
{{alias}}.factory( μ, σ )
Returns a function for evaluating the moment-generating function (MGF) of a
normal distribution with mean `μ` and standard deviation `σ`.
Parameters
----------
μ: number
Location parameter.
σ: number
Standard deviation.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var myMGF = {{alias}}.factory( 4.0, 2.0 );
> var y = myMGF( 1.0 )
~403.429
> y = myMGF( 0.5 )
~12.182
See Also
--------