Beta distribution

The probability density function for beta distribution is:

.. math::

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

for :math:0 \le x \le 1, :math:a > 0, :math:b > 0, where :math:\Gamma is the gamma function.

The following plot shows the pdf:

.. image:: ../../../../tests/imgs/stats/continuous/beta/betapdf.png :align: center :width: 480