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Matematicheskie Trudy, 2008, Volume 11, Number 2, Pages 3–19 (Mi mt124)  
This article is cited in 10 scientific papers (total in 10 papers)

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

I. S. Borisovab, N. V. Volodkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (222 kB) Citations (10)
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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 $\varphi$-mixing.
Key words: stationary sequence of random variables, $\varphi$-mixing, multiple orthogonal series, canonical $U$- and $V$-statistics.
Received: 18.06.2008
English version:
Siberian Advances in Mathematics, 2009, Volume 19, Issue 1, Pages 1–12
DOI: https://doi.org/10.3103/S1055134409010015
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: I. S. Borisov, N. V. Volodko, “Exponential inequalities for the distributions of canonical $U$- and $V$-statistics of dependent observations”, Mat. Tr., 11:2 (2008), 3–19; Siberian Adv. Math., 19:1 (2009), 1–12
Citation in format AMSBIB
\Bibitem{BorVol08}
\by I.~S.~Borisov, N.~V.~Volodko
\paper Exponential inequalities for the distributions of canonical $U$- and $V$-statistics of dependent observations
\jour Mat. Tr.
\yr 2008
\vol 11
\issue 2
\pages 3--19
\mathnet{http://mi.mathnet.ru/mt124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500124}
\transl
\jour Siberian Adv. Math.
\yr 2009
\vol 19
\issue 1
\pages 1--12
\crossref{https://doi.org/10.3103/S1055134409010015}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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