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Transformations in functional iterated logarithm laws and regular variation
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  • Published: March 1990

Transformations in functional iterated logarithm laws and regular variation

  • Wim Vervaat1 

Probability Theory and Related Fields volume 87, pages 121–128 (1990)Cite this article

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  • 4 Citations

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Summary

It is shown that functional iterated logarithm (log log) laws for geometric subsequences imply the corresponding laws for full sequences, and that the converse is not true. The implication is proved by simple algebraic arguments of regular variation type.

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Author information

Authors and Affiliations

  1. Mathematisch Instituut, Katholieke Universiteit, Toernooiveld 1, NL-6525 ED, Nijmegen, The Netherlands

    Wim Vervaat

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  1. Wim Vervaat
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Supported in part by a NATO grant for international collaboration in research

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Cite this article

Vervaat, W. Transformations in functional iterated logarithm laws and regular variation. Probab. Th. Rel. Fields 87, 121–128 (1990). https://doi.org/10.1007/BF01217749

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  • Received: 07 January 1988

  • Revised: 11 May 1990

  • Issue Date: March 1990

  • DOI: https://doi.org/10.1007/BF01217749

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Variation Type
  • Regular Variation
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