Gumbel limit for gamma maxima
= Gumbel limit for gamma maxima
{c}
For the <Gamma distribution> with fixed positive integer shape $m$ and rate one, the <survival function> is $e^{-t}\sum_{j=0}^{m-1}t^j/j!$. Its <sample maximum> centered by $\log n+(m-1)\log\log n-\log((m-1)!)$ has <convergence in distribution> to the standard <Gumbel distribution>, without an additional scale factor.