Exponential inequalities for the distributions of V-processes based on dependent observations

I. S. Borisov; V. A. Zhechev

doi:10.3103/S1055134419040023

Exponential inequalities for the distributions of V-processes based on dependent observations

I. S. Borisov, V. A. Zhechev

Section of Probability Theory and Mathematical Statistics

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

Abstract

In the paper, exponential inequalities are obtained for the distribution tail of the sup-norm of a V-process with canonical kernel based on independent or weakly dependent observations.

Original language	English
Pages (from-to)	263-273
Number of pages	11
Journal	Siberian Advances in Mathematics
Volume	29
Issue number	4
DOIs	https://doi.org/10.3103/S1055134419040023
Publication status	Published - 1 Oct 2019

Keywords

canonical U - and V -statistics
dependent observations
exponential inequality
mixing conditions
multiple orthogonal series
V -process

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10.3103/S1055134419040023

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title = "Exponential inequalities for the distributions of V-processes based on dependent observations",

abstract = "In the paper, exponential inequalities are obtained for the distribution tail of the sup-norm of a V-process with canonical kernel based on independent or weakly dependent observations.",

keywords = "canonical U - and V -statistics, dependent observations, exponential inequality, mixing conditions, multiple orthogonal series, V -process",

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AU - Zhechev, V. A.

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N2 - In the paper, exponential inequalities are obtained for the distribution tail of the sup-norm of a V-process with canonical kernel based on independent or weakly dependent observations.

AB - In the paper, exponential inequalities are obtained for the distribution tail of the sup-norm of a V-process with canonical kernel based on independent or weakly dependent observations.

KW - canonical U - and V -statistics

KW - dependent observations

KW - exponential inequality

KW - mixing conditions

KW - multiple orthogonal series

KW - V -process

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EP - 273

JO - Siberian Advances in Mathematics

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