%feature("docstring") OT::MeixnerDistributionFactory
"Meixner Distribution factory.

Available constructor:
    MeixnerDistributionFactory()

The parameters are estimated using the following moments estimators:

.. math::
    :nowrap:

    \begin{align}
      \displaystyle\Hat{\gamma_1} = \frac{\frac{1}{n}\sum_{i=1}^{n} (x_i-\Hat{x}_n)^3}{\Hat{\sigma}_n^3}\\
      \displaystyle\Hat{\gamma_2} = \frac{\frac{1}{n}\sum_{i=1}^{n} (x_i-\Hat{x}_n)^4}{\Hat{\sigma}_n^4}\\
      \displaystyle\Hat{\delta} =   \frac{1}{\Hat{\gamma_2}_n-\Hat{\gamma_1}_n^2-3}\\
      \displaystyle\Hat{\beta} =    sign(\Hat{\gamma_1}_n)arcos( 2-\Hat{\delta}_n (\Hat{\gamma_2}_n-3))\\
      \displaystyle\Hat{\alpha} =   (\Hat{\sigma}_n^2(\cos\Hat{\beta}_n+1) )^{1/3}
    \end{align}

where :math:`\gamma_2` is defined if :math:`\Hat{\gamma_2}_n \geq 2\Hat{\gamma_1}_n +3`.

See also
--------
DistributionFactory, MeixnerDistribution"
