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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 396, Pages 102–110 (Mi znsl4654)  
This article is cited in 2 scientific papers (total in 2 papers)

Low bounds for risk functions in non-parametric estimation problems

I. A. Ibragimovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (577 kB) Citations (2)
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Abstract: The authors of the paper [1] have established some general minimax low bounds of risk functions for probability densities estimates, Here analogous results are proved for some other non-parametric estimation problems.
Key words and phrases: non-parametric estimation problems, Gaussian white noise, Poisson process.
Received: 23.11.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 188, Issue 6, Pages 694–699
DOI: https://doi.org/10.1007/s10958-013-1160-9
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: I. A. Ibragimov, “Low bounds for risk functions in non-parametric estimation problems”, Probability and statistics. Part 17, Zap. Nauchn. Sem. POMI, 396, POMI, St. Petersburg, 2011, 102–110; J. Math. Sci. (N. Y.), 188:6 (2013), 694–699
Citation in format AMSBIB
\Bibitem{Ibr11}
\by I.~A.~Ibragimov
\paper Low bounds for risk functions in non-parametric estimation problems
\inbook Probability and statistics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 396
\pages 102--110
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4654}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870135}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 188
\issue 6
\pages 694--699
\crossref{https://doi.org/10.1007/s10958-013-1160-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880595519}
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  • https://www.mathnet.ru/eng/znsl/v396/p102
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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