Computing Parameter Estimates of a Homogeneous Nested Piecewise Linear Regression

Objective . The aim of the study is to develop an algorithm for identifying the parameters of a homogeneous nested piecewise linear regression model of the first type by the method of least modules. Method . Estimation of its unknown parameters is carried out with the help of reduction to the proble...

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Bibliographic Details
Published in:	Vestnik Dagestanskogo gosudarstvennogo tehničeskogo universiteta. Tehničeskie nauki (Online) Vol. 50; no. 4; pp. 115 - 120
Main Authors:	Noskov, S. I., Belinskaya, S. I.
Format:	Journal Article
Language:	English Russian
Published:	Dagestan State Technical University 23.01.2024
Subjects:	dimension homogeneous nested piecewise linear regression least moduli method linear boolean programming problem parameter identification
ISSN:	2073-6185, 2542-095X
Online Access:	Get full text
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Summary:	Objective . The aim of the study is to develop an algorithm for identifying the parameters of a homogeneous nested piecewise linear regression model of the first type by the method of least modules. Method . Estimation of its unknown parameters is carried out with the help of reduction to the problem of linear Boolean programming. Its solution should not cause computational difficulties due to a significant number of effective software tools - for example, the well-established and freely available program LPsolve on the Internet. Result . The generated linear programming problem has an acceptable dimension for solving practical modeling problems. Conclusion . The results of solving a numerical example indicate the effectiveness of the method proposed in the work for calculating parameter estimates for a homogeneous nested piecewise linear regression model of the first type by the method of least modules.
ISSN:	2073-6185 2542-095X
DOI:	10.21822/2073-6185-2023-50-4-115-120