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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 82–101 (Mi znsl6385)  
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives

G. T. Bookiyaa, Ya. Yu. Nikitinb

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (230 kB) Citations (3)
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Abstract: We calculate Bahadur efficiency of new nonparametric tests for symmetry recently proposed by Nikitin and Ahsanullah [30]. In contrast with that paper where only location alternatives were discussed, we are interested in generalized skew alternatives. It is shown that the new tests are highly efficient for a vast class of skew alternatives. The problem of most favorable alternatives is also explored.
Key words and phrases: test of symmetry, $U$-empirical distribution, Bahadur efficiency, skew-symmetric alternative.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00258
Received: 28.10.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 651–663
DOI: https://doi.org/10.1007/s10958-018-3704-5
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: G. T. Bookiya, Ya. Yu. Nikitin, “Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 82–101; J. Math. Sci. (N. Y.), 229:6 (2018), 651–663
Citation in format AMSBIB
\Bibitem{BukNik16}
\by G.~T.~Bookiya, Ya.~Yu.~Nikitin
\paper Asymptotic efficiency of new distribution-free tests of symmetry for generalized skew alternatives
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 82--101
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602402}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 651--663
\crossref{https://doi.org/10.1007/s10958-018-3704-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042352029}
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  • https://www.mathnet.ru/eng/znsl/v454/p82
    • 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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