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

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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Bibliographic Details
Published in:Siberian advances in mathematics 2009, Vol.19 (1), p.1-12
Main Authors: Borisov, I. S., Volodko, N. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:1055-1344
1934-8126
DOI:10.3103/S1055134409010015