```{include} /../core/dataserver/attribute/introducing_tstochastic_attribute/gumbel_equation.md
```

The mean value of the Gumbel max law can then be computed as ${\rm mean} = \mu+\beta\gamma$, where 
$\gamma$ is the Euler Mascheroni constant and its variance can be written as 
$\sigma^2=\dfrac{\pi^{2}}{6}\beta^{2}$

```{include} /../core/dataserver/attribute/introducing_tstochastic_attribute/gumbel_figure.md
```