Burr (Type III) distribution

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

.. math::

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

for :math:x \ge 0 and :math:c, d > 0. Here :math:c and :math:d are shape parameters.

The cumulative distribution function is:

.. math::

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

The following plots shows the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/burr/burrpdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/burr/burrcdf.png :align: center :width: 480