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Problemy Peredachi Informatsii, 1982, Volume 18, Issue 2, Pages 44–60 (Mi ppi1225)  
Methods of Signal Processing

Nonparametric Signal Estimation when There Is Incomplete Information on the Noise Distribution

A. B. Tsybakov
Full-text PDF (1796 kB)
Abstract: The article proposes a class of nonparametric signal estimates on the basis of observations in noise with probability characteristics that are not precisely known. The consistency conditions for these estimates are given, and their rate of convergence is determined. The problem of choosing estimates that are optimal in the sense of rate of convergence is solved.
Received: 15.06.1981
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.28
Language: Russian
Citation: A. B. Tsybakov, “Nonparametric Signal Estimation when There Is Incomplete Information on the Noise Distribution”, Probl. Peredachi Inf., 18:2 (1982), 44–60; Problems Inform. Transmission, 18:2 (1982), 116–130
Citation in format AMSBIB
\Bibitem{Tsy82}
\by A.~B.~Tsybakov
\paper Nonparametric Signal Estimation when There Is Incomplete Information on the Noise Distribution
\jour Probl. Peredachi Inf.
\yr 1982
\vol 18
\issue 2
\pages 44--60
\mathnet{http://mi.mathnet.ru/ppi1225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=689339}
\zmath{https://zbmath.org/?q=an:0499.94003}
\transl
\jour Problems Inform. Transmission
\yr 1982
\vol 18
\issue 2
\pages 116--130
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    		Проблемы передачи информации Problems of Information Transmission
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