Arcsine distribution

The probability density function for arcsine distribution is:

.. math::

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

for :math:0<x<1.

The cumulative distribution function is:

.. math::

F(x) = \frac{2}{\pi} \arcsin{\sqrt{x}}

The following plots show the pdf and cdf:

.. image:: ../../../../tests/imgs/stats/continuous/arcsine/arcsinepdf.png :align: center :width: 480

.. image:: ../../../../tests/imgs/stats/continuous/arcsine/arcsinecdf.png :align: center :width: 480