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Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations

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Abstract

Exponential inequalities are obtained for the distribution tails of canonical (degenerate) U- and V-statistics of an arbitrary order based on samples from a stationary sequence of observations satisfying ϕ-mixing.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

    I. S. Borisov & N. V. Volodko

Authors
  1. I. S. Borisov
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  2. N. V. Volodko
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Correspondence to I. S. Borisov.

Additional information

Original Russian Text © I. S. Borisov and N. V. Volodko, 2008, published in Matematicheskie Trudy, 2008, Vol. 11, No. 2, pp. 3–19.

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Borisov, I.S., Volodko, N.V. Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations. Sib. Adv. Math. 19, 1–12 (2009). https://doi.org/10.3103/S1055134409010015

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  • DOI: https://doi.org/10.3103/S1055134409010015

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