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Avtomatika i Telemekhanika, 1983, Issue 4, Pages 108–120 (Mi at5108)  
Adaptive Systems

Convergence of linear and nonlinear nonparametric estimates of the “kernel” type

V. Ya. Katkovnik

Leningrad
Full-text PDF (2062 kB)
Abstract: For a wide range of linear and nonlinear nonparametric estimates of the regression function sufficient conditions are formulated of pointwise mean square convergence and convergence with probability of one. Conditions are given for pointwise convergence with a probability of one of nonparametric Parsen estimates for a probability density.

Received: 08.09.1981
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. Ya. Katkovnik, “Convergence of linear and nonlinear nonparametric estimates of the “kernel” type”, Avtomat. i Telemekh., 1983, no. 4, 108–120; Autom. Remote Control, 44:4 (1983), 495–506
Citation in format AMSBIB
\Bibitem{Kat83}
\by V.~Ya.~Katkovnik
\paper Convergence of linear and nonlinear nonparametric estimates of the ``kernel'' type
\jour Avtomat. i Telemekh.
\yr 1983
\issue 4
\pages 108--120
\mathnet{http://mi.mathnet.ru/at5108}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=728628}
\zmath{https://zbmath.org/?q=an:0529.93067}
\transl
\jour Autom. Remote Control
\yr 1983
\vol 44
\issue 4
\pages 495--506
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