Template:Gumbel probability density function

Gumbel Probability Density Function
The $$pdf$$  of the Gumbel distribution is given by:


 * $$f(T)=\frac{1}{\sigma }{{e}^{z-{{e}^{z}}}}$$


 * $$f(T)\ge 0,\sigma >0$$


 * where:


 * $$z=\frac{T-\mu }{\sigma }$$


 * and:


 * $$\begin{align}

& \mu = & \text{location parameter} \\ & \sigma = & \text{scale parameter} \end{align}$$