.. _continuous-uniform:

Uniform Distribution

Standard form :math:x\in\left[0,1\right]. In general form, the lower limit is :math:L, the upper limit is :math:S+L.

.. math:: :nowrap:

\begin{eqnarray*} f\left(x\right) & = & 1\\ F\left(x\right) & = & x\\ G\left(q\right) & = & q\end{eqnarray*}

.. math:: :nowrap:

\begin{eqnarray*} \mu & = & \frac{1}{2}\\ \mu_{2} & = & \frac{1}{12}\\ \gamma_{1} & = & 0\\ \gamma_{2} & = & -\frac{6}{5}\end{eqnarray*}

.. math::

 h\left[X\right]=0

Implementation: scipy.stats.uniform