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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 441, Pages 263–273 (Mi znsl6237)  
This article is cited in 3 scientific papers (total in 3 papers)

Kolmogorov tests of normality based on some variants of Polya's characterization

V. V. Litvinovaab, Ya. Yu. Nikitinc

a St. Petersburg State Transport University, St. Petersburg, Russia
b National Research University "Higher School of Economics", St. Petersburg Branch, St. Petersburg, Russia
c St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (207 kB) Citations (3)
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Abstract: Two variants of Kolmogorov-type $U$-empirical tests of normality are studied. They are based on the variants of famous Polya's characterization of the normal law. We calculate their local Bahadur efficiency against location, skew and Lehmann alternatives and find that the integral tests are usually more efficient.
Key words and phrases: Polyn's characterization, test of normality, Bahadur efficiency, location alternative.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00172
Ministry of Education and Science of the Russian Federation НШ 2504.2014.1
Saint Petersburg State University 6.38.672.2013
Received: 02.11.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 219, Issue 5, Pages 782–788
DOI: https://doi.org/10.1007/s10958-016-3146-x
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. V. Litvinova, Ya. Yu. Nikitin, “Kolmogorov tests of normality based on some variants of Polya's characterization”, Probability and statistics. Part 22, Zap. Nauchn. Sem. POMI, 441, POMI, St. Petersburg, 2015, 263–273; J. Math. Sci. (N. Y.), 219:5 (2016), 782–788
Citation in format AMSBIB
\Bibitem{LitNik15}
\by V.~V.~Litvinova, Ya.~Yu.~Nikitin
\paper Kolmogorov tests of normality based on some variants of Polya's characterization
\inbook Probability and statistics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 441
\pages 263--273
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3504509}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 219
\issue 5
\pages 782--788
\crossref{https://doi.org/10.1007/s10958-016-3146-x}
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  • https://www.mathnet.ru/eng/znsl/v441/p263
    • 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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