Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 228, Pages 85–91
DOI: https://doi.org/10.36535/0233-6723-2023-228-85-91 (Mi into1228) 		 
On optimal linear regression for fuzzy random variables

V. L. Khatskevich

Russian Air Force Military Educational and Scientific Center of the "N. E. Zhukovskiy and Yu. A. Gagarin Air Force Academy", Voronezh
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DOI: https://doi.org/10.36535/0233-6723-2023-228-85-91
Abstract: In this paper, we construct an optimal linear regression of fuzzy random variables whose coefficients are similar to the case of “ordinary” random variables. We prove under certain conditions, the optimal regression has a maximum correlation coefficient with the predicted fuzzy random value.
Keywords: fuzzy random variables, optimal linear regression
Document Type: Article
UDC: 519.24
MSC: 62A86
Language: Russian
Citation: V. L. Khatskevich, “On optimal linear regression for fuzzy random variables”, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228, VINITI, Moscow, 2023, 85–91
Citation in format AMSBIB
\Bibitem{Kha23}
\by V.~L.~Khatskevich
\paper On optimal linear regression for fuzzy random variables
\inbook Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 228
\pages 85--91
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1228}
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