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A lim inf result in Strassen's law of the iterated logarithm
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  • Published: June 1991

A lim inf result in Strassen's law of the iterated logarithm

  • Karl Grill1 

Probability Theory and Related Fields volume 89, pages 149–157 (1991)Cite this article

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  • 25 Citations

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Summary

For a functionf(.) from Strassen's class, we investigate the lim inf behaviour of its distance from the normalized trajectories of a Wiener process. The lim inf rate is expressed in terms of a certain functional off(.). In addition, we give a result on the lim inf behaviour of the distance of the normed trajectories from Strassen's class as a whole.

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References

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Authors and Affiliations

  1. Institut für Statistik und Wahrscheinlichkeitstheorie, TU Wien, Wiedner Hauptstrasse 6-8, A-1040, Wien, Austria

    Karl Grill

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  1. Karl Grill
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Cite this article

Grill, K. A lim inf result in Strassen's law of the iterated logarithm. Probab. Th. Rel. Fields 89, 149–157 (1991). https://doi.org/10.1007/BF01366903

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  • Received: 04 June 1990

  • Revised: 30 December 1990

  • Issue Date: June 1991

  • DOI: https://doi.org/10.1007/BF01366903

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Wiener Process
  • Iterate Logarithm
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