Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1986, Volume 22, Issue 2, Pages 69–84 (Mi ppi937)  

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

Methods for Signal Processing and Automata Theory

Robust Reconstruction of Functions by the Local-Approximation Method

A. B. Tsybakov
Abstract: The author considers a local approximation method for reconstruction of functions on the basis of observation of their values in noise. Consistency conditions for the estimates of the local approximation are given, and their rate of convergence is established. The asymptotic distribution of the estimates is determined, and it is shown that they possess the property of being robust.
Received: 19.12.1983
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.27
Language: Russian
Citation: A. B. Tsybakov, “Robust Reconstruction of Functions by the Local-Approximation Method”, Probl. Peredachi Inf., 22:2 (1986), 69–84; Problems Inform. Transmission, 22:2 (1986), 133–146
Citation in format AMSBIB
\Bibitem{Tsy86}
\by A.~B.~Tsybakov
\paper Robust Reconstruction of Functions by the Local-Approximation Method
\jour Probl. Peredachi Inf.
\yr 1986
\vol 22
\issue 2
\pages 69--84
\mathnet{http://mi.mathnet.ru/ppi937}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=855002}
\zmath{https://zbmath.org/?q=an:0622.62047}
\transl
\jour Problems Inform. Transmission
\yr 1986
\vol 22
\issue 2
\pages 133--146
Linking options:
  • https://www.mathnet.ru/eng/ppi937
  • https://www.mathnet.ru/eng/ppi/v22/i2/p69
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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