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Matematicheskie Trudy, 2018, Volume 21, Number 2, Pages 102–116
DOI: https://doi.org/10.17377/mattrudy.2018.21.204 (Mi mt340) 		 
Exponential inequalities for the distributions of $V$-processes based on dependent observations

I. S. Borisovab, V. A. Zhechevc

a Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
c Yandex Technologies, Moscow, 119021 Russia
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DOI: https://doi.org/10.17377/mattrudy.2018.21.204
Abstract: In the paper, exponential inequalities are obtained for the distribution tail of the sup-norm of a $V$-processes with canonical kernel based on independent or weakly dependent observations.
Key words: exponential inequality, canonical $U$- and $V$-statistics, $V$-process, multiple orthogonal series, dependent observations, mixing conditions.
Funding agency Grant number
Russian Foundation for Basic Research 18–01–00074_a
Siberian Branch of Russian Academy of Sciences I.1.3 (проект № 0314-2016-0008)
The work of the first author was partially supported by the Russian Foundation for Basic Research (Project № 18-01-00074-a) and the Programme of Fundamental Scientific Research of SB RAS (Project № 0314-2016-0008).
Received: 22.04.2018
English version:
Siberian Advances in Mathematics, 2019, Volume 29, Pages 263–273
DOI: https://doi.org/10.3103/S1055134419040023
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: I. S. Borisov, V. A. Zhechev, “Exponential inequalities for the distributions of $V$-processes based on dependent observations”, Mat. Tr., 21:2 (2018), 102–116; Siberian Adv. Math., 29 (2019), 263–273
Citation in format AMSBIB
\Bibitem{BorZhe18}
\by I.~S.~Borisov, V.~A.~Zhechev
\paper Exponential inequalities for the distributions of $V$-processes based on dependent observations
\jour Mat. Tr.
\yr 2018
\vol 21
\issue 2
\pages 102--116
\mathnet{http://mi.mathnet.ru/mt340}
\crossref{https://doi.org/10.17377/mattrudy.2018.21.204}
\transl
\jour Siberian Adv. Math.
\yr 2019
\vol 29
\pages 263--273
\crossref{https://doi.org/10.3103/S1055134419040023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076814662}
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    		Математические труды Siberian Advances in Mathematics
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