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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v40.i8.40
pages 25-40

PARAFAC-regression Analysis for Determining the Concentration of Substances in Solutions

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

ABSTRACT

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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