%feature("docstring") OT::Logistic
"Logistic distribution.

Available constructors:
    Logistic(*alpha=0.0, beta=1.0*)

Parameters
----------
alpha : float
    Location parameter :math:`\alpha`.
beta : float, :math:`\beta > 0`
    Scale parameter :math:`\beta`.

Notes
-----
Its probability density function is defined as:

.. math::

    f_X(x) = \frac{\exp\left(\left(- \frac{x - \alpha}{\beta}\right)\right)}
                  {\beta \left(1 + \exp\left(- \frac{x-\alpha}{\beta}
                                             \right)\right)^2},
             \quad x \in \Rset

with :math:`\alpha \in \Rset` and :math:`\beta > 0`.

Its first moments are:

.. math::
    :nowrap:

    \begin{eqnarray*}
        \Expect{X} & = & \alpha \\
        \Var{X} & = & \frac{1}{3} \pi^2 \beta^2
    \end{eqnarray*}

Examples
--------
Create a distribution:

>>> import openturns as ot
>>> distribution = ot.Logistic(0.0, 1.0)

Draw a sample:

>>> sample = distribution.getSample(5)"

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%feature("docstring") OT::Logistic::getAlpha
"Accessor to the distribution's location parameter :math:`\alpha`.

Returns
-------
alpha : float
    Location parameter :math:`\alpha`."

// ---------------------------------------------------------------------

%feature("docstring") OT::Logistic::getBeta
"Accessor to the distribution's scale parameter :math:`\beta`.

Returns
-------
beta : float
    Scale parameter :math:`\beta`."

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%feature("docstring") OT::Logistic::setAlpha
"Accessor to the distribution's location parameter :math:`\alpha`.

Parameters
----------
alpha : float, :math:`\alpha \in \Rset`
    Location parameter :math:`\alpha`."

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%feature("docstring") OT::Logistic::setBeta
"Accessor to the distribution's scale parameter :math:`\beta`.

Parameters
----------
beta : float, :math:`\beta > 0`
    Scale parameter :math:`\beta`."
