Ermilov Mikhail Mikhailovich (senior lecturer of the Department of Information Technologies and Natural Sciences, Russian University of Cooperation, Mytishchi, Russia)
Surkova Lyudmila Evgenievna (Candidate of Technical Sciences, Associate Professor of the Department of Information Systems, Technologies and Automation in Construction, National Research Moscow State Construction University, Moscow)
Bityutsky Sergey Yakovlevich (Candidate of Technical Sciences, Associate Professor of the Department of Information Technologies and Natural Sciences, Russian University of Cooperation, Mytishchi, Russia)
Kudryavtseva Lyudmila Georgievna (Candidate of Technical Sciences, Associate Professor of the Department of Information Technologies and Natural Sciences, Russian University of Cooperation, Mytishchi, Russia)
Shurupov Anatolij Aleksandrovich (Ph. D., Associate Professor, Department of Information Technologies and Natural Sciences, Russian University of Cooperation, Mytishchi, Russia)
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Improving mathematical models of economic objects remains relevant. The paper proposes a solution to the Leontief-type inverse problem - obtaining a statistically consistent estimate of the technological matrix based on the assumption that the production and demand vectors in the Leontief model are known with some accuracy. It is shown that, within the framework of traditional assumptions regarding the statistical properties of direct measurement errors, this estimate of the technological matrix turns out to be unbiased. The covariance properties of the obtained estimates are calculated.
Keywords:Statistical estimation; matrix, vectors; unbiased matrix estimates; covariance properties of matrix estimates
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Citation link:
Ermilov M. M., Surkova L. E., Bityutsky S. Y., Kudryavtseva L. G., Shurupov A. A. STATISTICAL EVALUATION OF LEONTIEF-TYPE SYSTEMS // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2024. -№04. -С. 72-75 DOI 10.37882/2223-2966.2024.04.12 |
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