Logarithmic averages of stable random variables are asymptotically normal

We show that most random walks in the domain of attraction of a symmetric stable law have a non-trivial almost sure central limit theorem with the normal law as the limit.

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Year of publication:	1998
Authors:	Berkes, István ; Horváth, Lajos ; Khoshnevisan, Davar
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 77.1998, 1, p. 35-51
Publisher:	Elsevier
Keywords:	Stable distribution Logarithmic average Wiener process Central limit theorem

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008873068