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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 298, Pages 54–79 (Mi znsl1154)  
This article is cited in 1 scientific paper (total in 1 paper)

A Berry–Esseen bound for $U$-statistics

L. V. Gadasina

Petersburg State Transport University
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Abstract: The rate of convergence in the central limit theorem for non-degenerate $U$-statistics of $n$ independent random variables is investigated under minimal sufficient moment conditions on canonical functions of Hoeffding representation.
Received: 18.11.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 1, Pages 2522–2537
DOI: https://doi.org/10.1007/s10958-005-0200-5
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: L. V. Gadasina, “A Berry–Esseen bound for $U$-statistics”, Probability and statistics. Part 6, Zap. Nauchn. Sem. POMI, 298, POMI, St. Petersburg, 2003, 54–79; J. Math. Sci. (N. Y.), 128:1 (2005), 2522–2537
Citation in format AMSBIB
\Bibitem{Gad03}
\by L.~V.~Gadasina
\paper A~Berry--Esseen bound for $U$-statistics
\inbook Probability and statistics. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 298
\pages 54--79
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1154}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038864}
\zmath{https://zbmath.org/?q=an:1079.60023}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 1
\pages 2522--2537
\crossref{https://doi.org/10.1007/s10958-005-0200-5}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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