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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 351, Pages 219–231 (Mi znsl34)  
This article is cited in 3 scientific papers (total in 3 papers)

On asymptotic efficiency and local optimality of tests based on two-sample $U$- and $V$-statistics

V. V. Litvinova, Ya. Yu. Nikitin

Saint-Petersburg State University
Full-text PDF (205 kB) Citations (3)
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Abstract: Many well-known homogeneity tests are based on two-sample $U$- and $V$-statistics. Using their large deviation asymptotics we calculate for them the local Bahadur efficiency for common alternatives and find general conditions of their local asymptotic optimality.
Received: 26.11.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 152, Issue 6, Pages 921–927
DOI: https://doi.org/10.1007/s10958-008-9108-1
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. V. Litvinova, Ya. Yu. Nikitin, “On asymptotic efficiency and local optimality of tests based on two-sample $U$- and $V$-statistics”, Probability and statistics. Part 12, Zap. Nauchn. Sem. POMI, 351, POMI, St. Petersburg, 2007, 219–231; J. Math. Sci. (N. Y.), 152:6 (2008), 921–927
Citation in format AMSBIB
\Bibitem{LitNik07}
\by V.~V.~Litvinova, Ya.~Yu.~Nikitin
\paper On asymptotic efficiency and local
optimality of tests based on two-sample $U$- and
$V$-statistics
\inbook Probability and statistics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 351
\pages 219--231
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl34}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 152
\issue 6
\pages 921--927
\crossref{https://doi.org/10.1007/s10958-008-9108-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55049086184}
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  • https://www.mathnet.ru/eng/znsl/v351/p219
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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