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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 441, Pages 286–298 (Mi znsl6239)  
This article is cited in 7 scientific papers (total in 7 papers)

Estimation of function observed in stationary noise: discretization

V. N. Solevab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (196 kB) Citations (7)
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Abstract: In the article we propose a new estimation of the unknown pseudo periodic function which observed in stationary noise. We compare the accuracy of the proposed estimation with the minimax risk.
Key words and phrases: pseudo periodic function, nonparametric estimating, process with stationary increments.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00856
Ministry of Education and Science of the Russian Federation НШ-2504.2014.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 13.11.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 219, Issue 5, Pages 798–806
DOI: https://doi.org/10.1007/s10958-016-3148-8
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. N. Solev, “Estimation of function observed in stationary noise: discretization”, Probability and statistics. Part 22, Zap. Nauchn. Sem. POMI, 441, POMI, St. Petersburg, 2015, 286–298; J. Math. Sci. (N. Y.), 219:5 (2016), 798–806
Citation in format AMSBIB
\Bibitem{Sol15}
\by V.~N.~Solev
\paper Estimation of function observed in stationary noise: discretization
\inbook Probability and statistics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 441
\pages 286--298
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3504511}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 219
\issue 5
\pages 798--806
\crossref{https://doi.org/10.1007/s10958-016-3148-8}
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  • https://www.mathnet.ru/eng/znsl/v441/p286
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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