Exponentially modified normal distribution
The probability density function for the exponentially modified Normal distribution is
.. math::
f(x, k) = \frac{1}{2k} \exp\left(\frac{1}{2 k^2} - x / k \right)
\text{erfc}\left(-\frac{x - 1/k}{\sqrt{2}}\right)
for :math:k>0. Here :math:k is a shape parameter.
The following plots show the pdf and cdf:
.. image:: ../../../../tests/imgs/stats/continuous/exponnorm/exponnormpdf.png :align: center :width: 480
.. image:: ../../../../tests/imgs/stats/continuous/exponnorm/exponnormcdf.png :align: center :width: 480