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{{alias}}( x, μ, β )
Evaluates the logarithm of the cumulative distribution function (CDF) 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 logCDF.
Examples
--------
> var y = {{alias}}( 10.0, 0.0, 3.0 )
~-0.036
> y = {{alias}}( -2.0, 0.0, 3.0 )
~-1.948
> y = {{alias}}( 0.0, 0.0, 1.0 )
~-1.0
> 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}}( 0.0, 0.0, -1.0 )
NaN
{{alias}}.factory( μ, β )
Returns a function for evaluating the logarithm of the cumulative
distribution function (CDF) of a Gumbel distribution with location parameter
`μ` and scale parameter `β`.
Parameters
----------
μ: number
Location parameter.
β: number
Scale parameter.
Returns
-------
logcdf: Function
Logarithm of cumulative distribution function (CDF).
Examples
--------
> var myLCDF = {{alias}}.factory( 2.0, 3.0 );
> var y = myLCDF( 10.0 )
~-0.069
> y = myLCDF( 2.0 )
~-1.0
See Also
--------
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