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Weak and strong representations for trimmed U-statistics
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  • Published: February 1988

Weak and strong representations for trimmed U-statistics

  • Irène Gijbels1,
  • Paul Janssen1 &
  • Noël Veraverbeke1 

Probability Theory and Related Fields volume 77, pages 179–194 (1988)Cite this article

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  • 11 Citations

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Summary

Weak and strong representations are proved for two classes of trimmed U-statistics, generalizing the trimmed mean. Applications of the strong representation theorems include laws of iterated logarithm and invariance principles for trimmed U-statistics.

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Author information

Authors and Affiliations

  1. Limburgs Universitair Centrum, Universitaire Campus, B-3610, Diepenbeek, Belgium

    Irène Gijbels, Paul Janssen & Noël Veraverbeke

Authors
  1. Irène Gijbels
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  2. Paul Janssen
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  3. Noël Veraverbeke
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Cite this article

Gijbels, I., Janssen, P. & Veraverbeke, N. Weak and strong representations for trimmed U-statistics. Probab. Th. Rel. Fields 77, 179–194 (1988). https://doi.org/10.1007/BF00334036

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  • Received: 15 April 1986

  • Issue Date: February 1988

  • DOI: https://doi.org/10.1007/BF00334036

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Representation Theorem
  • Invariance Principle
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