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Exponential inequalities for the distributions of canonical multiple partial sum processes. / Borisov, I. S.; Bystrov, A. A.

In: Theory of Probability and its Applications, Vol. 64, No. 2, 01.01.2019, p. 171-185.

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Borisov IS, Bystrov AA. Exponential inequalities for the distributions of canonical multiple partial sum processes. Theory of Probability and its Applications. 2019 Jan 1;64(2):171-185. doi: 10.1137/S0040585X97T98943X

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Borisov, I. S. ; Bystrov, A. A. / Exponential inequalities for the distributions of canonical multiple partial sum processes. In: Theory of Probability and its Applications. 2019 ; Vol. 64, No. 2. pp. 171-185.

BibTeX

@article{9b32919d022a4e7f9a3343b4b007b5c7,
title = "Exponential inequalities for the distributions of canonical multiple partial sum processes",
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 = "Canonical U-andV-statistics, Exponential inequalities, Multiple orthogonal series",
author = "Borisov, {I. S.} and Bystrov, {A. A.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1137/S0040585X97T98943X",
language = "English",
volume = "64",
pages = "171--185",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "SIAM PUBLICATIONS",
number = "2",

}

RIS

TY - JOUR

T1 - Exponential inequalities for the distributions of canonical multiple partial sum processes

AU - Borisov, I. S.

AU - Bystrov, A. A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Canonical U-andV-statistics

KW - Exponential inequalities

KW - Multiple orthogonal series

UR - http://www.scopus.com/inward/record.url?scp=85070963989&partnerID=8YFLogxK

U2 - 10.1137/S0040585X97T98943X

DO - 10.1137/S0040585X97T98943X

M3 - Article

AN - SCOPUS:85070963989

VL - 64

SP - 171

EP - 185

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 2

ER -

ID: 21336355