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Asymptotic expansions with discrete stable limit laws

By G. Christoph and Magdeburg Univ. (Germany). Fakultaet fuer Mathematik

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

Topics: 12A - Pure mathematics, STRICTLY STABLE AND DISCRETE STABLE DISTRIBUTIONS, DISCRETE STABILITY, EDGEWORTH EXPANSIONS WITH DISCRETE STABLE LIMIT LAW
Year: 1999
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Provided by: OpenGrey Repository
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