Maximum compatibility method for data fitting under interval uncertainty

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Abstract

For the linear regression model, the data-fitting problem under the interval uncertainty of the data is studied. As an estimate of the linear function parameters, it is proposed to take their values that deliver the maximum for the so-called recognizing functional of the parameter set compatible with the data (the maximum compatibility method). The properties of the recognizing functional, its interpretation, and the properties of the estimates obtained using the maximum compatibility method are investigated. The relationships to other data analysis methods are discussed, and a practical electrochemistry problem is solved.

Original languageEnglish
Pages (from-to)897-913
Number of pages17
JournalJournal of Computer and Systems Sciences International
Volume56
Issue number6
DOIs
Publication statusPublished - 1 Nov 2017

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