Template:Gumbel mean median and mode

The Gumbel Mean, Median and Mode
The Gumbel mean or MTTF is:


 * $$\overline{T}=\mu -\sigma \gamma $$

where $$\gamma \approx 0.5772$$  (Euler's constant).

The mode of the Gumbel distribution is:


 * $$\tilde{T}=\mu $$

The median of the Gumbel distribution is:


 * $$\widehat{T}=\mu +\sigma \ln (\ln (2))$$