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Logarithmic averages of stable random variables are asymptotically normal

István Berkes, Lajos Horvath and Davar Khoshnevisan

Stochastic Processes and their Applications, 1998, vol. 77, issue 1, 35-51

Abstract: 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.

Keywords: Stable; distribution; Logarithmic; average; Wiener; process; Central; limit; theorem (search for similar items in EconPapers)
Date: 1998
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Handle: RePEc:eee:spapps:v:77:y:1998:i:1:p:35-51