Semicircular distribution

The probability density function for semicircular distribution is:

.. math::

f(x) = \frac{2}{\pi} \sqrt{1-x^2}

for a real number :math:-1 \le x \le 1.

The following plots show the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/semicircular/semicircularpdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/semicircular/semicircularcdf.png :align: center :width: 480