@stdlib/stats
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Standard library statistical functions.
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{{alias}}( x, μ, β )
Evaluates the probability density function (PDF) for a Gumbel distribution
with location parameter `μ` and scale parameter `β` at a value `x`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided `β <= 0`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
μ: number
Location parameter.
β: number
Scale parameter.
Returns
-------
out: number
Evaluated PDF.
Examples
--------
> var y = {{alias}}( 0.0, 0.0, 2.0 )
~0.184
> y = {{alias}}( 0.0, 0.0, 1.0 )
~0.368
> y = {{alias}}( 1.0, 3.0, 2.0 )
~0.09
> y = {{alias}}( NaN, 0.0, 1.0 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0 )
NaN
> y = {{alias}}( 0.0, 0.0, NaN )
NaN
// Negative scale parameter:
> y = {{alias}}( 2.0, 0.0, -1.0 )
NaN
{{alias}}.factory( μ, β )
Returns a function for evaluating the probability density function (PDF)
of a Gumbel distribution with location parameter `μ` and scale parameter
`β`.
Parameters
----------
μ: number
Location parameter.
β: number
Scale parameter.
Returns
-------
pdf: Function
Probability density function (PDF).
Examples
--------
> var myPDF = {{alias}}.factory( 10.0, 2.0 );
> var y = myPDF( 10.0 )
~0.184
> y = myPDF( 12.0 )
~0.127
See Also
--------