Exponential inequalities for the distributions of canonical multiple partial sum processes

I. S. Borisov; A. A. Bystrov

doi:10.1137/S0040585X97T98943X

Exponential inequalities for the distributions of canonical multiple partial sum processes

I. S. Borisov, A. A. Bystrov

Section of Probability Theory and Mathematical Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	171-185
Number of pages	15
Journal	Theory of Probability and its Applications
Volume	64
Issue number	2
DOIs	https://doi.org/10.1137/S0040585X97T98943X
Publication status	Published - 1 Jan 2019

Keywords

Canonical U-andV-statistics
Exponential inequalities
Multiple orthogonal series

Access to Document

10.1137/S0040585X97T98943X

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Exponential inequalities for the distributions of canonical multiple partial sum processes'. Together they form a unique fingerprint.

Cite this

@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",

}

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 -