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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 2, Pages 209–227
DOI: https://doi.org/10.4213/tvp5188 (Mi tvp5188) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Exponential inequalities for the distributions of canonical multiple partial sum processes

I. S. Borisovab, A. A. Bystrovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (535 kB) Citations (4)
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DOI: https://doi.org/10.4213/tvp5188
Abstract: Exponential inequalities are obtained for the distribution tail of the sup-norm of a multiple partial sum process with canonical bounded kernel based on independent and weakly dependent observations. The exponent obtained has the correct order.
Keywords: exponential inequalities, canonical $U$- and $V$-statistics, multiple orthogonal series.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00074-a
Siberian Branch of Russian Academy of Sciences 0314-2016-0008
This work was partially supported by the Russian Foundation for Basic Research (grant 18-01-00074-a) and the Program of Fundamental Scientific Research of SB RAS (project 0314-2016-0008).
Received: 26.03.2018
Revised: 03.06.2018
Accepted: 21.06.2018
English version:
Theory of Probability and its Applications, 2019, Volume 64, Issue 2, Pages 171–185
DOI: https://doi.org/10.1137/S0040585X97T98943X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Borisov, A. A. Bystrov, “Exponential inequalities for the distributions of canonical multiple partial sum processes”, Teor. Veroyatnost. i Primenen., 64:2 (2019), 209–227; Theory Probab. Appl., 64:2 (2019), 171–185
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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