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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 328, Pages 69–90 (Mi znsl308)  

A Berry–Esseen type estimations for multi-sample $U$-statistics

L. V. Gadasina

Petersburg State Transport University
References:
Abstract: The rate of convergence in the central limit theorem for nondegenerate multi-sample $U$-statistics of series of independent samples of independent random variables is investigated under minimal sufficient moment conditions on canonical functions of Hoeffding representation.
Received: 11.11.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 139, Issue 3, Pages 6535–6547
DOI: https://doi.org/10.1007/s10958-006-0370-9
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: L. V. Gadasina, “A Berry–Esseen type estimations for multi-sample $U$-statistics”, Probability and statistics. Part 9, Zap. Nauchn. Sem. POMI, 328, POMI, St. Petersburg, 2005, 69–90; J. Math. Sci. (N. Y.), 139:3 (2006), 6535–6547
Citation in format AMSBIB
\Bibitem{Gad05}
\by L.~V.~Gadasina
\paper A Berry--Esseen type estimations for multi-sample $U$-statistics
\inbook Probability and statistics. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 328
\pages 69--90
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl308}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2214535}
\zmath{https://zbmath.org/?q=an:1100.62053}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 139
\issue 3
\pages 6535--6547
\crossref{https://doi.org/10.1007/s10958-006-0370-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750499518}
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