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{{alias}}( p, k, λ )
Evaluates the quantile function for an Erlang distribution with shape
parameter `k` and rate parameter `λ` 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 not provided a nonnegative integer for `k`, the function returns `NaN`.
If provided a non-positive number for `λ`, the function returns `NaN`.
Parameters
----------
p: number
Input probability.
k: number
Shape parameter.
λ: number
Rate parameter.
Returns
-------
out: number
Evaluated quantile function.
Examples
--------
> var y = {{alias}}( 0.8, 2, 1.0 )
~2.994
> y = {{alias}}( 0.5, 4, 2.0 )
~1.836
> y = {{alias}}( 1.1, 1, 1.0 )
NaN
> y = {{alias}}( -0.2, 1, 1.0 )
NaN
> y = {{alias}}( NaN, 1, 1.0 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0 )
NaN
> y = {{alias}}( 0.0, 1, NaN )
NaN
// Non-integer shape parameter:
> y = {{alias}}( 0.5, 0.5, 1.0 )
NaN
// Non-positive shape parameter:
> y = {{alias}}( 0.5, -1, 1.0 )
NaN
// Non-positive rate parameter:
> y = {{alias}}( 0.5, 1, -1.0 )
NaN
{{alias}}.factory( k, λ )
Returns a function for evaluating the quantile function of an Erlang
distribution with shape parameter `k` and rate parameter `λ`.
Parameters
----------
k: number
Shape parameter.
λ: number
Rate parameter.
Returns
-------
quantile: Function
Quantile function.
Examples
--------
> var myQuantile = {{alias}}.factory( 10, 2.0 );
> var y = myQuantile( 0.4 )
~4.452
See Also
--------
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