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Exact rate of convergence in Strassen's law of the interated logarithm
Authors:Karl Grill
Affiliation:(1) Institut für Statistik und Warscheinlichkeitstheorie TU, Vienna, Austria
Abstract:
We investigate the upper limiting behavior of the distance of the normalize trajectories of a Wiener process from Strassen's class. It is shown that the right rate is (log logT)–2/3, improving previous results by the author and by Goodman and Kuelbs.(2,3)
Keywords:Wiener process  Strassen's law of the iterated logarithm
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