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Avtomatika i Telemekhanika, 1978, Issue 8, Pages 38–52 (Mi at9792)  
This article is cited in 1 scientific paper (total in 1 paper)

Stochastic Systems

Nonparametric methods for restoring the probability densities

V. N. Vapnik, A. R. Stefanyuk

Moscow
Full-text PDF (2195 kB) Citations (1)
Abstract: The paper is cencerned with restoration of a continuous probability density as an ill-posed (according to Hadamar) problem of numerical differentiation for an emprirical distribution function. The solution conditions and conditions for convergence of Paezen estimates are the same. An algorithm is proposed whereby the probability density is restored from a sample of limited size. The method of ordered risk minimization is used in the algorithm.

Received: 01.12.1977
Bibliographic databases:
Document Type: Article
UDC: 519.25
Language: Russian
Citation: V. N. Vapnik, A. R. Stefanyuk, “Nonparametric methods for restoring the probability densities”, Avtomat. i Telemekh., 1978, no. 8, 38–52; Autom. Remote Control, 39:8 (1979), 1127–1140
Citation in format AMSBIB
\Bibitem{VapSte78}
\by V.~N.~Vapnik, A.~R.~Stefanyuk
\paper Nonparametric methods for restoring the probability densities
\jour Avtomat. i Telemekh.
\yr 1978
\issue 8
\pages 38--52
\mathnet{http://mi.mathnet.ru/at9792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=537859}
\zmath{https://zbmath.org/?q=an:0418.93071}
\transl
\jour Autom. Remote Control
\yr 1979
\vol 39
\issue 8
\pages 1127--1140
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  • https://www.mathnet.ru/eng/at/y1978/i8/p38
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Full-text PDF :239
     
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