TY - JOUR

T1 - Maximum compatibility method for data fitting under interval uncertainty

AU - Shary, S. P.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85040811132&partnerID=8YFLogxK

U2 - 10.1134/S1064230717050100

DO - 10.1134/S1064230717050100

M3 - Article

AN - SCOPUS:85040811132

VL - 56

SP - 897

EP - 913

JO - Journal of Computer and Systems Sciences International

JF - Journal of Computer and Systems Sciences International

SN - 1064-2307

IS - 6

ER -