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Avtomatika i Telemekhanika, 2009, Issue 3, Pages 48–67 (Mi at432)  
This article is cited in 9 scientific papers (total in 9 papers)

Stochastic Systems

Recurrent nonparametric estimation of functions from functionals of multidimensional density and their derivatives

A. V. Kitaevaa, G. M. Koshkinbc

a Tomsk Polytechnic University
b Tomsk State University
c Department of Informatization Problems, Tomsk Scientific Center, Russian Academy of Sciences, Tomsk, Russia
Full-text PDF (299 kB) Citations (9)
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Abstract: Recurrent kernel estimates of functions are considered, which depend on functionals of the multidimensional distribution density and their derivatives, and also their piecewise smooth approximations. The principal part of a mean square error of estimates is found. The suggested approach enables estimating from unique positions, for example, the production function and its characteristics. The comparison is performed of recurrent and common estimates both in asymptotics and at finite volumes of samples.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 05.03.2007
English version:
Automation and Remote Control, 2009, Volume 70, Issue 3, Pages 389–407
DOI: https://doi.org/10.1134/S0005117909030060
Bibliographic databases:
Document Type: Article
PACS: 02.50.Fz, 02.50.Sk
Language: Russian
Citation: A. V. Kitaeva, G. M. Koshkin, “Recurrent nonparametric estimation of functions from functionals of multidimensional density and their derivatives”, Avtomat. i Telemekh., 2009, no. 3, 48–67; Autom. Remote Control, 70:3 (2009), 389–407
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :129
    References:75
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