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Avtomatika i Telemekhanika, 1989, Issue 12, Pages 59–68 (Mi at6488)  
Stochastic Systems

Pointwise and uniform convergence almost surely of nonparametric regression estimates

M. O. Ioffe, V. Ya. Katkovnik

Leningrad
Full-text PDF (1166 kB)
Abstract: For nonparametric regression estimates obtained by local approximation, nonimprovable conditions are provided that are imposed on the decreasing rate of the scaling parameter under which pointwise and uniform convergence is obtained almost surely.

Received: 14.04.1988
Bibliographic databases:
Document Type: Article
UDC: 519.246.85
Language: Russian
Citation: M. O. Ioffe, V. Ya. Katkovnik, “Pointwise and uniform convergence almost surely of nonparametric regression estimates”, Avtomat. i Telemekh., 1989, no. 12, 59–68; Autom. Remote Control, 50:12 (1989), 1659–1667
Citation in format AMSBIB
\Bibitem{IofKat89}
\by M.~O.~Ioffe, V.~Ya.~Katkovnik
\paper Pointwise and uniform convergence almost surely of nonparametric regression estimates
\jour Avtomat. i Telemekh.
\yr 1989
\issue 12
\pages 59--68
\mathnet{http://mi.mathnet.ru/at6488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039650}
\zmath{https://zbmath.org/?q=an:0729.62038}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 12
\pages 1659--1667
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