Asymptotic expansions with discrete stable limit laws

Abstract

Discrete stable distributions and their domains of attractions were introduced in Steutel and van Harn (1979). Here asymptotic expansions with discrete stable limit laws are considered. In one case the Poisson distribution is the limit law, whereas the other limit laws have infinite expectations. Therefore asymptotic expansions for some infinitely divisible limit distributions with infinite expectation are obtained, too. Examples demonstrate the results. (orig.)Available from TIB Hannover: RR 4487(1999,21) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman