.. _continuous-lomax:

Pareto Second Kind (Lomax) Distribution

This is Pareto of the first kind with :math:L=-1.0 . There is one shape parameter :math:c>0 and support :math:x\geq0.

.. math:: :nowrap:

\begin{eqnarray*} f\left(x;c\right) & = & \frac{c}{\left(1+x\right)^{c+1}}\\ F\left(x;c\right) & = & 1-\frac{1}{\left(1+x\right)^{c}}\\ G\left(q;c\right) & = & \left(1-q\right)^{-1/c}-1\end{eqnarray*}

.. math::

 h\left[X\right]=\frac{1}{c}+1-\log\left(c\right).

Implementation: scipy.stats.lomax