gemseo.uncertainty.distributions.openturns.beta module

The OpenTURNS-based Beta distribution.

class OTBetaDistribution(alpha=2.0, beta=2.0, minimum=0.0, maximum=1.0, transformation='', lower_bound=None, upper_bound=None, threshold=0.5)

Bases: OTDistribution

The OpenTURNS-based Beta distribution.

Examples

>>> from gemseo.uncertainty.distributions.openturns.distribution import (
...     OTDistribution,
... )
>>> distribution = OTDistribution("Exponential", (3, 2))
>>> print(distribution)
Exponential(3, 2)

Initialize self. See help(type(self)) for accurate signature.

Parameters:

• alpha (float) --

  The first shape parameter of the beta random variable.

  By default it is set to 2.0.

• beta (float) --

  The second shape parameter of the beta random variable.

  By default it is set to 2.0.

• minimum (float) --

  The minimum of the beta random variable.

  By default it is set to 0.0.

• maximum (float) --

  The maximum of the beta random variable.

  By default it is set to 1.0.

• transformation (str) --

  A transformation applied to the random variable, e.g. \(\sin(x)\). If empty, no transformation.

  By default it is set to "".

• lower_bound (float | None) -- A lower bound to truncate the probability distribution. If None, no lower truncation.

• upper_bound (float | None) -- An upper bound to truncate the probability distribution. If None, no upper truncation.

• threshold (float) --

  A threshold in [0,1] (see OpenTURNS documentation).

  By default it is set to 0.5.