Generalized exponential distribution

The probability density function for the generalized exponential distribution is:

.. math::

f(x, a, b, c) = (a + b (1 - \exp(-c x)))
                    \exp(-a x - b x + \frac{b}{c}  (1-\exp(-c x)))

where :math:x \ge 0, :math:a, b, c > 0.

The following plots show the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/genexpon/genexponpdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/genexpon/genexponcdf.png :align: center :width: 480