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Matematicheskie Zametki, 1972, Volume 12, Issue 5, Pages 627–638 (Mi mzm9926)  

This article is cited in 19 scientific papers (total in 19 papers)

Sequential estimation of the parameters of diffusion processes

A. A. Novikov

V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR
Abstract: For the parameter $\lambda$ of a diffusion process $\xi(t)$, satisfying the stochastic differential equation
$$ d\xi(t)=\lambda f(t,\xi)dt+dw(t), $$
we propose an effective sequential estimation plan with an unbiased and normally distributed estimate. The proposed sequential plan is discussed in detail for the example of a process $\xi(t)$ having a linear stochastic differential.
Received: 15.03.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 5, Pages 812–818
DOI: https://doi.org/10.1007/BF01099072
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. A. Novikov, “Sequential estimation of the parameters of diffusion processes”, Mat. Zametki, 12:5 (1972), 627–638; Math. Notes, 12:5 (1972), 812–818
Citation in format AMSBIB
\Bibitem{Nov72}
\by A.~A.~Novikov
\paper Sequential estimation of the parameters of diffusion processes
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 5
\pages 627--638
\mathnet{http://mi.mathnet.ru/mzm9926}
\zmath{https://zbmath.org/?q=an:0248.62038}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 5
\pages 812--818
\crossref{https://doi.org/10.1007/BF01099072}
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  • https://www.mathnet.ru/eng/mzm/v12/i5/p627
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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