gemseo / uncertainty / distributions / openturns

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normal module

Class to create a normal distribution from the OpenTURNS library.

This class inherits from OTDistribution.

class gemseo.uncertainty.distributions.openturns.normal.OTNormalDistribution(variable, mu=0.0, sigma=1.0, dimension=1, transformation=None, lower_bound=None, upper_bound=None, threshold=0.5)[source]

Bases: OTDistribution

Create a normal distribution.

Example

>>> from gemseo.uncertainty.distributions.openturns.normal import (
...     OTNormalDistribution
>>> )
>>> distribution = OTNormalDistribution('x', -1, 2)
>>> print(distribution)
Normal(mu=-1, sigma=2)
Parameters:

  • variable (str) – The name of the normal random variable.

  • mu (float) –

    The mean of the normal random variable.

    By default it is set to 0.0.

  • sigma (float) –

    The standard deviation of the normal random variable.

    By default it is set to 1.0.

  • dimension (int) –

    The dimension of the normal random variable.

    By default it is set to 1.

  • transformation (str | None) – A transformation applied to the random variable, e.g. ‘sin(x)’. If None, no transformation.

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

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

  • threshold (float) –

    A threshold in [0,1].

    By default it is set to 0.5.

dimension: int

The number of dimensions of the random variable.

distribution_name: str

The name of the probability distribution.

marginals: list[ot.Distribution]

The marginal distributions of the components of the random variable.

math_lower_bound: ndarray

The mathematical lower bound of the random variable.

math_upper_bound: ndarray

The mathematical upper bound of the random variable.

num_lower_bound: ndarray

The numerical lower bound of the random variable.

num_upper_bound: ndarray

The numerical upper bound of the random variable.

parameters: tuple[Any] | dict[str, Any]

The parameters of the probability distribution.

standard_parameters: dict[str, str] | None

The standard representation of the parameters of the distribution, used for its string representation.

transformation: str

The transformation applied to the random variable, e.g. ‘sin(x)’.

variable_name: str

The name of the random variable.

Examples using OTNormalDistribution

Probability distributions based on OpenTURNS

Probability distributions based on OpenTURNS