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

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Matematicheskie Trudy, 2008, Volume 11, Number 2, Pages 3–19 (Mi mt124)

This article is cited in 11 scientific papers (total in 11 papers)

Exponential inequalities for the distributions of canonical

U

$U$ - and

V

$V$ -statistics of dependent observations

I. S. Borisov^ab, N. V. Volodko^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University

Full-text PDF (222 kB) Citations (11)

References:

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Abstract: Exponential inequalities are obtained for the distribution tails of canonical (degenerate)

U

$U$ - and

V

$V$ -statistics of an arbitrary order based on samples from a stationary sequence of observations satisfying

φ

$\varphi$ -mixing.

Key words: stationary sequence of random variables,

φ

$\varphi$ -mixing, multiple orthogonal series, canonical

U

$U$ - and

V

$V$ -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

$U$ - and

V

$V$ -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}

Linking options:

https://www.mathnet.ru/eng/mt124

https://www.mathnet.ru/eng/mt/v11/i2/p3

This publication is cited in the following 11 articles:

Davide Giraudo, “An exponential inequality for Hilbert-valued U-statistics of i.i.d. data”, Journal of Multivariate Analysis, 2025, 105406
Wenzhuo Zhou, Ruoqing Zhu, Annie Qu, “Estimating Optimal Infinite Horizon Dynamic Treatment Regimes via pT-Learning”, Journal of the American Statistical Association, 119:545 (2024), 625
I. S. Borisov, A. A. Bystrov, “Exponential inequalities for the distributions of canonical multiple partial sum processes”, Theory Probab. Appl., 64:2 (2019), 171–185
Han F., “An Exponential Inequality For U-Statistics Under Mixing Conditions”, J. Theor. Probab., 31:1 (2018), 556–578
I. S. Borisov, V. A. Zhechev, “Exponential inequalities for the distributions of $V$ -processes based on dependent observations”, Siberian Adv. Math., 29 (2019), 263–273
Haerdie W.K., Wang W., Yu L., “Tenet: Tail-Event Driven Network Risk”, J. Econom., 192:2 (2016), 499–513
Borisov I.S., Volodko N.V., “a Note on Exponential Inequalities For the Distribution Tails of Canonical Von Mises' Statistics of Dependent Observations”, Stat. Probab. Lett., 96 (2015), 287–291
Wolfgang K. HHrdle, Weining Wang, Lining Yu, “TENET: Tail-Event Driven NETwork Risk”, SSRN Journal, 2015
P. S. Ruzankin, “Ob eksponentsialnykh neravenstvakh dlya kanonicheskikh V-statistik”, Sib. elektron. matem. izv., 11 (2014), 70–75
P. S. Ruzankin, “Ob eksponentsialnykh neravenstvakh dlya V-statistik s neogranichennymi yadrami”, Sib. elektron. matem. izv., 11 (2014), 200–206
A. A. Bystrov, “Exponential inequalities for probability deviations of stochastic integrals over Gaussian integrable processes”, Theory Probab. Appl., 59:1 (2015), 128–136

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	171
References:	84
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