Burr (Type XII) distribution

The probability density function of Burr (Type XII) distribution is:

.. math::

f(x, c, d) = \frac{cdx^{c-1}}{(1+x^c)^{d+1}}

where :math:x\ge 0 and :math:c,d>0.

The cumulative distribution function is:

.. math::

F(x, c, d) = 1 - (1 + y^c)^{-d}

The following plots shows the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/burr12/burr12pdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/burr12/burr12cdf.png :align: center :width: 480