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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2021, Volume 27, Issue 1, Pages 74–80
DOI: https://doi.org/10.18287/2541-7525-2021-27-1-74-80
(Mi vsgu648)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Problems of differential and topological diagnostics. Part 6. Statistical solving of the problem of differential diagnostics

M. V. Shamolin

Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: Proposed work is the sixth work of the cycle on differential and topological diagnostics. It is shown that the diagnostics in the case of trajectorial measurements corrupted by noise, which is a stochastic process of the normal white noise type with zero mean value and bounded spectrum, can be performed by using the diagnostic algorithms obtained in [5], i.e., the results of this section remain valid even in this rather general case; moreover, the diagnostic functional, which was introduced in the theorem of [5] a priori, is now obtained a posteriori.
Keywords: the diagnostic problem, diagnostic algorithms, statistical solving.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00016
The work is carried out with the financial support from Russian Foundation for Basic Research (grant 19-01-00016).
Received: 27.12.2020
Revised: 18.01.2021
Accepted: 28.02.2021
Document Type: Article
UDC: 517+531.01
Language: Russian
Citation: M. V. Shamolin, “Problems of differential and topological diagnostics. Part 6. Statistical solving of the problem of differential diagnostics”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:1 (2021), 74–80
Citation in format AMSBIB
\Bibitem{Sha21}
\by M.~V.~Shamolin
\paper Problems of differential and topological diagnostics. Part 6. Statistical solving of the problem of differential diagnostics
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2021
\vol 27
\issue 1
\pages 74--80
\mathnet{http://mi.mathnet.ru/vsgu648}
\crossref{https://doi.org/10.18287/2541-7525-2021-27-1-74-80}
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    Cycle of papers
    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Вестник Самарского государственного университета. Естественнонаучная серия
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