@stdlib/stats
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Standard library statistical functions.
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{{alias}}( p, μ, β )
Evaluates the quantile function for a Gumbel distribution with location
parameter `μ` and scale parameter `β` at a probability `p`.
If `p < 0` or `p > 1`, the function returns `NaN`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided `β <= 0`, the function returns `NaN`.
Parameters
----------
p: number
Input probability.
μ: number
Location parameter.
β: number
Scale parameter.
Returns
-------
out: number
Evaluated quantile function.
Examples
--------
> var y = {{alias}}( 0.8, 0.0, 1.0 )
~1.5
> y = {{alias}}( 0.5, 4.0, 2.0 )
~4.733
> y = {{alias}}( 0.5, 4.0, 4.0 )
~5.466
> y = {{alias}}( 1.1, 0.0, 1.0 )
NaN
> y = {{alias}}( -0.2, 0.0, 1.0 )
NaN
> 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}}( 0.5, 0.0, -1.0 )
NaN
{{alias}}.factory( μ, β )
Returns a function for evaluating the quantile function of a Gumbel
distribution with location parameter `μ` and scale parameter `β`.
Parameters
----------
μ: number
Location parameter.
β: number
Scale parameter.
Returns
-------
quantile: Function
Quantile function.
Examples
--------
> var myQuantile = {{alias}}.factory( 8.0, 2.0 );
> var y = myQuantile( 0.5 )
~8.733
> y = myQuantile( 0.7 )
~10.062
See Also
--------