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

摘要

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.