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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 486, Pages 98–147 (Mi znsl6882)  

This article is cited in 1 scientific paper (total in 1 paper)

On uniform consistency of nonparametric tests

M. S. Ermakovab

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
b St. Petersburg State University, Mathematics and Mechanics Faculty
Full-text PDF (419 kB) Citations (1)
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Abstract: We provide necessary and sufficient conditions of uniform consistency of nonparametric sets of alternatives for widespread nonparametric tests. Nonparametric sets of alternatives can be defined both in terms of distribution function and density (or signals in the problem of signal detection in Gaussian white noise).
Key words and phrases: goodness of fit tests, consistency, signal detection, Cramer–von Mises tests, chi-squared tests, maxisets.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00828_а
Received: 06.11.2019
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. S. Ermakov, “On uniform consistency of nonparametric tests”, Probability and statistics. Part 28, Zap. Nauchn. Sem. POMI, 486, POMI, St. Petersburg, 2019, 98–147
Citation in format AMSBIB
\Bibitem{Erm19}
\by M.~S.~Ermakov
\paper On uniform consistency of nonparametric tests
\inbook Probability and statistics. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 486
\pages 98--147
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6882}
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  • https://www.mathnet.ru/eng/znsl6882
  • https://www.mathnet.ru/eng/znsl/v486/p98
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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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