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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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

Volume 40, Issue 8, 2008, pp. 25-40
DOI: 10.1615/JAutomatInfScien.v40.i8.40
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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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