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Problemy Peredachi Informatsii, 1975, Volume 11, Issue 2, Pages 68–83 (Mi ppi1585)  
Methods of Signal Processing

Convergence of Recursive Estimates of the Zero of an Unknown Function

M. B. Nevel'son
Full-text PDF (2203 kB)
Abstract: Simple recursive estimates are constructed for the zero of an unknown function observed with random errors when the expectation of a certain monotonic function of those errors is known. The results are applied to a problem in the nonparametric estimation of an unknown parameter (and, in particular, a location parameter).
Received: 28.12.1973
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.27
Language: Russian
Citation: M. B. Nevel'son, “Convergence of Recursive Estimates of the Zero of an Unknown Function”, Probl. Peredachi Inf., 11:2 (1975), 68–83; Problems Inform. Transmission, 11:2 (1975), 149–162
Citation in format AMSBIB
\Bibitem{Nev75}
\by M.~B.~Nevel'son
\paper Convergence of Recursive Estimates of the Zero of an Unknown Function
\jour Probl. Peredachi Inf.
\yr 1975
\vol 11
\issue 2
\pages 68--83
\mathnet{http://mi.mathnet.ru/ppi1585}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=483225}
\zmath{https://zbmath.org/?q=an:0335.62055}
\transl
\jour Problems Inform. Transmission
\yr 1975
\vol 11
\issue 2
\pages 149--162
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