I. S. Borisov, N. Volodko
Published 2009-07-01, updated 2015-02-27Version 3
Hoeffding-type exponential inequalities are obtained for the distribution tails of canonical von Mises' statistics of arbitrary order based on samples from a stationary sequence of random variables satisfying the {\varphi}-mixing condition. The present paper weakens the restrictions on the coefficient {\varphi}() which are contained in the paper "Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations" by Borisov and Volodko (2009). At the same time, we correct the corresponding proof in this paper.
Journal: Statistics and Probability Letters 96 (2015) 287--291
Exponential inequalities for the distribution tails of canonical U- and V-statistics of $ρ$-mixing observations
On U- and V-statistics for discontinuous Ito semimartingales
On lower limits and equivalences for distribution tails of randomly stopped sums
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