Vergleichende Betrachtungen zur Bestimmung des asymptotischen Verhaltens mehrdimensionaler Laplace-Gauss-Integrale

Abstract

The asymptotic behaviour of the Gaussian measure is investigated for some Borel sets in which one is interested in the theory of probabilities of large deviations and the distance of which from the origin tends to infinity. To that end, various methods for studying Laplace-Gauss integrals are compared. Some new assertions are illustrated by many examples.