Geodesic
Problems of differential and topological diagnostics. Part 6. Statistical solving of the problem of differential diagnostics
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 1, pp. 74-80

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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. 
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     author = {M. V. Shamolin},
     title = {Problems of differential and topological diagnostics. {Part} 6. {Statistical} solving of the problem of differential diagnostics},
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M. V. Shamolin. Problems of differential and topological diagnostics. Part 6. Statistical solving of the problem of differential diagnostics. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 1, pp. 74-80. http://geodesic.mathdoc.fr/item/VSGU_2021_27_1_a5/