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Some remarks on a question of Strassen
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  • Published: June 1996

Some remarks on a question of Strassen

  • P. Griffin1 &
  • J. Kuelbs2 

Probability Theory and Related Fields volume 104, pages 211–229 (1996)Cite this article

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Summary

Strassen's original functional law of the iterated logarithm for partial sums and Brownian motion examined convergence and clustering in the sup-norm. Here we address what happens if we use the much larger H-norm. We provide the answer to a query which appeared at the end of Strassen's original paper, and also present several contrasting results which are shown to be essentially best possible.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Syracuse University, 215 Carnegie Hall, 13244-1150, Syracuse, NY, USA

    P. Griffin

  2. Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, 53706-1388, Madison, WI, USA

    J. Kuelbs

Authors
  1. P. Griffin
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  2. J. Kuelbs
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Additional information

Supported in part by NSA Grant MDA-904-93-H-3033

Supported in part by NSF Grant DMS-9400024

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Cite this article

Griffin, P., Kuelbs, J. Some remarks on a question of Strassen. Probab. Th. Rel. Fields 104, 211–229 (1996). https://doi.org/10.1007/BF01247838

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  • Received: 31 January 1995

  • Revised: 18 July 1995

  • Issue Date: June 1996

  • DOI: https://doi.org/10.1007/BF01247838

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Mathematics Subject Classification

  • 60B12
  • 60F15
  • 60F17
  • 60G15
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