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

Available constructors:
    Logistic(*alpha=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., 1.)

Draw a sample:

>>> sample = distribution.getSample(10)"

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

%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`."

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

%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`."

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

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

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