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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 5, Pages 1107–1117 (Mi zvmmf5349)  

This article is cited in 1 scientific paper (total in 1 paper)

Restoration of statistical dependences by averaged splines

A. I. Mikhal'skii

Moskva
Full-text PDF (993 kB) Citations (1)
Abstract: The use of polynomial splines when there is a deficiency of a priori information about the dependence to be restored is considered. Conditions are found under which the splines solving the problem of least squares (averaged splines) uniformly approximate the regression function and its derivatives.
Received: 21.02.1978
Revised: 21.02.1979
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 5, Pages 18–28
DOI: https://doi.org/10.1016/0041-5553(79)90094-6
Bibliographic databases:
Document Type: Article
UDC: 519.676
MSC: Primary 62J02; Secondary 62F12
Language: Russian
Citation: A. I. Mikhal'skii, “Restoration of statistical dependences by averaged splines”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979), 1107–1117; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 18–28
Citation in format AMSBIB
\Bibitem{Mik79}
\by A.~I.~Mikhal'skii
\paper Restoration of~statistical dependences by~averaged splines
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 5
\pages 1107--1117
\mathnet{http://mi.mathnet.ru/zvmmf5349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=550097}
\zmath{https://zbmath.org/?q=an:0446.62065}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 5
\pages 18--28
\crossref{https://doi.org/10.1016/0041-5553(79)90094-6}
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  • https://www.mathnet.ru/eng/zvmmf/v19/i5/p1107
  • 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
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :101
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