.. _continuous-invweibull:

Inverted Weibull Distribution

There is one shape parameter :math:c>0 and the support is :math:x\geq0 . Then

.. math:: :nowrap:

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

.. math::

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

where :math:\gamma is Euler's constant.

Implementation: scipy.stats.invweibull