@stdlib/stats
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Standard library statistical functions.
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{{alias}}( p, a, b, c )
Evaluates the quantile function for a triangular distribution with minimum
support `a`, maximum support `b`, and mode `c` at a value `x`.
If `p < 0` or `p > 1`, the function returns `NaN`.
If the condition `a <= c <= b` is not satisfied, the function returns `NaN`.
If either `a`, `b`, or `c` is `NaN`, the function returns `NaN`.
Parameters
----------
p: number
Input probability.
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
out: number
Evaluated quantile function.
Examples
--------
> var y = {{alias}}( 0.9, -1.0, 1.0, 0.0 )
~0.553
> y = {{alias}}( 0.1, -1.0, 1.0, 0.5 )
~-0.452
> y = {{alias}}( 0.1, -20.0, 0.0, -2.0 )
-14.0
> y = {{alias}}( 0.8, 0.0, 20.0, 0.0 )
~11.056
> y = {{alias}}( 1.1, -1.0, 1.0, 0.0 )
NaN
> y = {{alias}}( -0.1, -1.0, 1.0, 0.0 )
NaN
> y = {{alias}}( NaN, 0.0, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.3, NaN, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.3, 0.0, NaN, 0.5 )
NaN
> y = {{alias}}( 0.3, 1.0, 0.0, NaN )
NaN
> y = {{alias}}( 0.3, 1.0, 0.0, 1.5 )
NaN
{{alias}}.factory( a, b, c )
Returns a function for evaluating the quantile function of a triangular
distribution with minimum support `a`, maximum support `b`, and mode `c`.
Parameters
----------
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
quantile: Function
Quantile function.
Examples
--------
> var myquantile = {{alias}}.factory( 2.0, 4.0, 2.5 );
> var y = myquantile( 0.4 )
~2.658
> y = myquantile( 0.8 )
~3.225
See Also
--------