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}$$