Restricted Least Squares Estimation of the Spectra and Concentration of Two Unknown Constituents Available in Mixtures

Autor:	Rolf Volden, Harald Martens, Emil Spjøtvoll
Rok vydání:	1982
Předmět:	Statistics and Probability Mathematical optimization Component (thermodynamics) Applied Mathematics Solution set Generalized least squares Least squares Modeling and Simulation Non-linear least squares Principal component analysis Total least squares Biological system Linear combination Mathematics
Zdroj:	Technometrics. 24:173-180
ISSN:	1537-2723 0040-1706
DOI:	10.1080/00401706.1982.10487756
Popis:	The problem considered is the identification of two unknown chemical compounds and the estimation of their proportions in a set of unknown mixtures of the two compounds, given data that are vectors of measurements on their mixtures. It is assumed that the expected value of a mixture vector is an unknown convex linear combination of two unknown component vectors and least squares estimation is used to obtain a set of possible solutions of the mixing proportions and the component vectors. Obtaining a unique solution requires additional constraints or information. The solution set is interpreted geometrically and examples involving amino acids and light absorbance data are given.
Databáze:	OpenAIRE
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