pBeta¶

pBeta(p1, p2, x, tail=False)¶

Cumulative distribution function of a Beta distribution on $[0,1]$ .

Parameters:

alphafloat, $\alpha > 0$

Parameter $\alpha$ .

betafloat, $\beta > 0$

Parameter $\beta$ .

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:

$p(x) = \dfrac{1}{B(\alpha, \beta)}x^{(\alpha-1)}(1-x)^{(\beta-1)} \quad x \in [0,1]$

with $\alpha, \beta > 0$ and where $\rm B$ denotes Euler’s beta function Beta().

Examples

>>> import openturns as ot
>>> cdf = ot.DistFunc.pBeta(2.5, 3.5, 0.9)

OpenTURNS