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Berry-Esseen inequalities for U-statistics. / Gadasina, L. V.

в: Theory of Probability and its Applications, Том 48, № 1, 01.12.2003, стр. 147-152.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gadasina, LV 2003, 'Berry-Esseen inequalities for U-statistics', Theory of Probability and its Applications, Том. 48, № 1, стр. 147-152. https://doi.org/10.1137/S0040585X980208

APA

Gadasina, L. V. (2003). Berry-Esseen inequalities for U-statistics. Theory of Probability and its Applications, 48(1), 147-152. https://doi.org/10.1137/S0040585X980208

Vancouver

Gadasina LV. Berry-Esseen inequalities for U-statistics. Theory of Probability and its Applications. 2003 Дек. 1;48(1):147-152. https://doi.org/10.1137/S0040585X980208

Author

Gadasina, L. V. / Berry-Esseen inequalities for U-statistics. в: Theory of Probability and its Applications. 2003 ; Том 48, № 1. стр. 147-152.

BibTeX

@article{17c08fe0aed14aecb38d56cf2d9a8ec4,
title = "Berry-Esseen inequalities for U-statistics",
abstract = "We obtain a Berry-Esseen boundary for nondegenerate U-statistics of power 2 constructed by independent and not necessarily identically distributed random variables assuming finiteness of the absolute third moments for the first family of the canonical functions and the absolute moments of order 5/3 for the second family of the canonical functions in the Hoeffding expansion.",
keywords = "Berry-Esseen inequality, Rate of convergence, U-statistic",
author = "Gadasina, {L. V.}",
year = "2003",
month = dec,
day = "1",
doi = "10.1137/S0040585X980208",
language = "English",
volume = "48",
pages = "147--152",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - Berry-Esseen inequalities for U-statistics

AU - Gadasina, L. V.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - We obtain a Berry-Esseen boundary for nondegenerate U-statistics of power 2 constructed by independent and not necessarily identically distributed random variables assuming finiteness of the absolute third moments for the first family of the canonical functions and the absolute moments of order 5/3 for the second family of the canonical functions in the Hoeffding expansion.

AB - We obtain a Berry-Esseen boundary for nondegenerate U-statistics of power 2 constructed by independent and not necessarily identically distributed random variables assuming finiteness of the absolute third moments for the first family of the canonical functions and the absolute moments of order 5/3 for the second family of the canonical functions in the Hoeffding expansion.

KW - Berry-Esseen inequality

KW - Rate of convergence

KW - U-statistic

UR - http://www.scopus.com/inward/record.url?scp=2142660659&partnerID=8YFLogxK

U2 - 10.1137/S0040585X980208

DO - 10.1137/S0040585X980208

M3 - Article

AN - SCOPUS:2142660659

VL - 48

SP - 147

EP - 152

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 1

ER -

ID: 36836580