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.. _continuous-genexpon:
Generalized Exponential Distribution
====================================
Three positive shape parameters :math:`a,b,c>0` with support :math:`x\geq0`.
.. math::
:nowrap:
\begin{eqnarray*} f\left(x;a,b,c\right) & = & \left(a+b\left(1-e^{-cx}\right)\right)\exp\left(ax-bx+\frac{b}{c}\left(1-e^{-cx}\right)\right)\\
F\left(x;a,b,c\right) & = & 1-\exp\left(ax-bx+\frac{b}{c}\left(1-e^{-cx}\right)\right)\\
G\left(q;a,b,c\right) & = & F^{-1}\end{eqnarray*}
Implementation: `scipy.stats.genexpon`
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