On the Density arising from the Domain of Attraction between Sum and Supremum: the $\alpha$-Sun operator

N. S. Witte, P. E. Greenwood

We explore the analytic properties of the density function $h(x;\gamma ,\alpha )$, $x\in (0,\infty )$, $\gamma >0$, $0<\alpha <1$ which arises from the domain of attraction problem for a stati…