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Problemy Peredachi Informatsii, 1999, Volume 35, Issue 2, Pages 67–74 (Mi ppi443)  

This article is cited in 622 scientific papers (total in 622 papers)

Methods of Signal Processing

Nonparametric Estimation of Linear Functionals of the Regression Function for a Known Conditional Distribution of the Observation Noise

Yu. I. Pastukhova
Abstract: For the case where an observation plan is given and the distribution function of the additive noise of observations is known, we obtain a nonparametric estimate of linear functionals of the regression function. This estimate asymptotically attains the minimax bound of risks for the quadratic loss function.
Received: 07.09.1998
English version:
Problems of Information Transmission, 1999, Volume 35, Issue 2, Pages 150–157
DOI: https://doi.org/10.3102/0034654306298273
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.27
Language: Russian
Citation: Yu. I. Pastukhova, “Nonparametric Estimation of Linear Functionals of the Regression Function for a Known Conditional Distribution of the Observation Noise”, Probl. Peredachi Inf., 35:2 (1999), 67–74; Problems Inform. Transmission, 35:2 (1999), 150–157
Citation in format AMSBIB
\Bibitem{Pas99}
\by Yu.~I.~Pastukhova
\paper Nonparametric Estimation of Linear Functionals of the Regression Function for a~Known Conditional Distribution of the Observation Noise
\jour Probl. Peredachi Inf.
\yr 1999
\vol 35
\issue 2
\pages 67--74
\mathnet{http://mi.mathnet.ru/ppi443}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1728908}
\zmath{https://zbmath.org/?q=an:0946.62046}
\transl
\jour Problems Inform. Transmission
\yr 1999
\vol 35
\issue 2
\pages 150--157
\crossref{https://doi.org/10.3102/0034654306298273}
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  • https://www.mathnet.ru/eng/ppi/v35/i2/p67
  • This publication is cited in the following 622 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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