Limit laws for the norms of extremal samples

Peter Kevei, Lillian Oluoch, Laszlo Viharos

Let denote $S_n(p)=k_n^{-1}{\sum }_{i=1}^{k_n}{\left(\log (X_{n+1-i,n}/X_{n-k_n,n})\right)}^p$, where $p>0$, $k_n\le n$ is a sequence of integers such that $k_n\to \infty$…