Mielke Beta-Kappa / Dagum distribution

The probability density function for Mielke distribution is:

.. math::

f(x, a, b) = \frac{a x^{a-1}}{(1+x^b)^{1+a/b}}

for :math:x > 0, a > 0, b > 0.

The following plots show the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/mielke/mielkepdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/mielke/mielkecdf.png :align: center :width: 480