On R. Von Mises' Condition for the Domain of Attraction of $\exp(-e^{-x})^1$

Abstract

There exist well-known necessary and sufficient conditions for a distribution function to belong to the domain of attraction of the double exponential distribution $\Lambda$. For practical purposes a simple sufficient condition due to von Mises is very useful. It is shown that each distribution function $F$ in the domain of attraction of $\Lambda$ is tail equivalent to some distribution function satisfying von Mises' condition.