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On Bounds for Some U-Statistics Under the Two-Eigenvalues Assumption

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We present the estimation of the convergence rate for the distribution of second-order U-statistic associated with Hilbert–Schmidt operator. We obtain this estimation under two eigenvalues assumption.

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Authors and Affiliations

  1. VU Institute of Mathematics and Informatics, Vilnius, Lithuania

    O. Yanushkevichiene

  2. Lithuanian University of Educational Sciences, Vilnius, Lithuania

    R. Yanushkevichius & V. Geseviciene

Authors
  1. O. Yanushkevichiene
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  2. R. Yanushkevichius
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  3. V. Geseviciene
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Correspondence to O. Yanushkevichiene.

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Dedicated to the memory of Vidmantas Bentkus.

Proceedings of the XXXII International Seminar on Stability Problems for Stochastic Models, Trondheim, Norway, June 16–21, 2014.

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Yanushkevichiene, O., Yanushkevichius, R. & Geseviciene, V. On Bounds for Some U-Statistics Under the Two-Eigenvalues Assumption. J Math Sci 214, 139–146 (2016). https://doi.org/10.1007/s10958-016-2764-7

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  • DOI: https://doi.org/10.1007/s10958-016-2764-7

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