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Marcinkiewicz Type Laws of Large Numbers and Convergence of Moments for u-Statistics

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Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference

Part of the book series: Progress in Probability ((PRPR,volume 30))

Abstract

Laws of large numbers for U-statistics which reduce to the (sufficiencypart of the) Marcinkiewicz law of large numbers if m = 1 are proved. Convergence of moments is also considered both for the laws of large numbers and for the central limit theorem.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, CT, 06269, USA

    Evarist Giné

  2. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Joel Zinn

Authors
  1. Evarist Giné
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  2. Joel Zinn
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, MIT, Cambridge, MA, 02139, USA

    Richard M. Dudley

  2. Department of Mathematics, Tufts University, Medford, MA, 02178, USA

    Marjorie G. Hahn

  3. Dept. of Mathematics, University of Wisconsin, Madison, WI, 53706, USA

    James Kuelbs

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© 1992 Springer Science+Business Media New York

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Giné, E., Zinn, J. (1992). Marcinkiewicz Type Laws of Large Numbers and Convergence of Moments for u-Statistics. In: Dudley, R.M., Hahn, M.G., Kuelbs, J. (eds) Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference. Progress in Probability, vol 30. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0367-4_19

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  • DOI: https://doi.org/10.1007/978-1-4612-0367-4_19

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6728-7

  • Online ISBN: 978-1-4612-0367-4

  • eBook Packages: Springer Book Archive

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