@stdlib/stats
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Standard library statistical functions.
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{{alias}}( p, x0, Ɣ )
Evaluates the quantile function for a Cauchy distribution with location
parameter `x0` and scale parameter `Ɣ` 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 `Ɣ <= 0`, the function returns `NaN`.
Parameters
----------
p: number
Input probability.
x0: number
Location parameter.
Ɣ: number
Scale parameter.
Returns
-------
out: number
Evaluated quantile function.
Examples
--------
> var y = {{alias}}( 0.3, 2.0, 2.0 )
~0.547
> y = {{alias}}( 0.8, 10, 2.0 )
~12.753
> y = {{alias}}( 0.1, 10.0, 2.0 )
~3.845
> 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( x0, Ɣ )
Returns a function for evaluating the quantile function of a Cauchy
distribution with location parameter `x0` and scale parameter `Ɣ`.
Parameters
----------
x0: number
Location parameter.
Ɣ: number
Scale parameter.
Returns
-------
quantile: Function
Quantile function.
Examples
--------
> var myQuantile = {{alias}}.factory( 10.0, 2.0 );
> var y = myQuantile( 0.5 )
10.0
See Also
--------