Journal of Automation and Information Sciences

ISSN for PRINT: 1064-2315

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2008, Volume40

Issue 8

86 pages

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Vladimir S. Mukha
Byelorussian State University of Informatics and Radioelectronics, Minsk, Belorussia

The regression problem of determining the concentration of substances in solutions based on a mathematical model of parallel factor analysis (PARAFAC-model) is considered. The estimations of parameters of the regression PARAFAC-model are given. Theorems about properties and distributions of the estimations of parameters of the regression PARAFAC-model are proved. Statistical procedures for hypotheses testing in the PARAFAC-regression problem, which enable to make a justified decision about the quantity and concentration of substances in solutions, are developed.

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