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Exact rate of convergence in Strassen's law of the iterated logarithm

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Publication:1185803
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DOI10.1007/BF01046785zbMath0747.60028MaRDI QIDQ1185803

Karl Grill

Publication date: 28 June 1992

Published in: Journal of Theoretical Probability (Search for Journal in Brave)


zbMATH Keywords

Wiener processStrassens law of iterated logarithm


Mathematics Subject Classification ID

Strong limit theorems (60F15)


Related Items

Rates of clustering in Strassen's LIL for partial sum processes, Clustering behavior of finite variance partial sum processes, Some asymptotic results related to the law of iterated logarithm for Brownian motion, Some remarks on a question of Strassen, Rates of clustering in FLIL for weighted partial sum processes, Energy of taut strings accompanying Wiener process, On the history of St. Petersburg school of probability and mathematical statistics. II: Random processes and dependent variables, New Gaussian estimates for enlarged balls



Cites Work

  • Rates of clustering in Strassen's LIL for Brownian motion
  • Rates of clustering for some Gaussian self-similar processes
  • On the rate of convergence in Strassen's law of the iterated logarithm
  • On the speed of convergence in Strassen's law of the iterated logarithm
  • An invariance principle for the law of the iterated logarithm
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