Estimation of parameters of homogeneous nested bilinear regression of the second type with the second order of nesting
https://doi.org/10.21822/2073-6185-2026-53-1-151-156
Abstract
Objective. The aim of the study is to develop an algorithmic method for identifying the parameters of a homogeneous nested piecewise linear regression of the second type with the second order of nesting using the least absolute values method.
Method. Estimating unknown parameters is accomplished using a linear-Boolean programming problem. Its solution presents no computational difficulties due to the availability of a significant number of effective software tools.
Result. The solution of the formed linear-Boolean programming problem allows us to calculate estimates of the model parameters, and the analysis of the optimal values of the Boolean components - to determine the nature of the response of the external and internal maxima of both levels in it.
Conclusion. The results indicate the effectiveness of the proposed method for calculating the parameter estimates of a homogeneous nested piecewise linear regression of the second type with the second order of nesting using the least absolute values method.
About the Authors
S. I. Noskov
Irkutsk State Transport University
Russian Federation
Russian Federation
Sergey I. Noskov, Dr. Sci. (Eng.), Prof., Prof., Department of Information Technologies and Information Security,
15 Chernyshevskogo St., Irkutsk 664074
A. P. Medvedev
Irkutsk State Transport University
Russian Federation
Russian Federation
Alexander P. Medvedev, Assistant, Department of Information Technology and Information Security,
15 Chernyshevskogo St., Irkutsk 664074
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Review
For citations:
Noskov S.I., Medvedev A.P. Estimation of parameters of homogeneous nested bilinear regression of the second type with the second order of nesting. Herald of Dagestan State Technical University. Technical Sciences. 2026;53(1):151-156. (In Russ.) https://doi.org/10.21822/2073-6185-2026-53-1-151-156
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