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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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