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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)
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.
Received: 27.12.2020 Revised: 18.01.2021 Accepted: 28.02.2021
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
Linking options:
https://www.mathnet.ru/eng/vsgu648 https://www.mathnet.ru/eng/vsgu/v27/i1/p74
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Abstract page: | 113 | Full-text PDF : | 33 | References: | 41 |
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