qGamma¶

qGamma(k, p, tail=False)¶

Quantile of a Gamma distribution on $[0,+\infty[$ .

Parameters:

kfloat: Shape parameter $k > 0$ with $k = (\mu - \gamma)^2 / \sigma^2$ .
xfloat
pfloat, in $[0,1]$: The probability.
tailbool, optional: Tail flag. Default value is False. If True, the quantile associated to $(1-p)$ is computed.

Returns:

Notes

The probability density function is defined as:

$f_X(x) = \frac{1}{\Gamma(k)} \left(x )\right)^{k - 1} \exp\left(- x)\right), \quad x \in [0; +\infty[$

with $k, \lambda > 0$ .

Examples

>>> import openturns as ot
>>> q = ot.DistFunc.qGamma(2.5, 0.95)
>>> q = ot.DistFunc.qGamma(2.5, 0.95, True)

OpenTURNS