pGamma¶

pGamma(k, x, tail=False)¶

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

Parameters:

kfloat

Shape parameter $k > 0$ with $k = (\mu - \gamma)^2 / \sigma^2$ .

xfloat

Location.

tailbool

Tail flag.

Default value is False.

If True, the complementary CDF 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
>>> cdf = ot.DistFunc.pGamma(2.5, 0.9)

OpenTURNS