Models, systems, networks in economics, engineering, nature and society

Background. The construction of regression models of various complex objects in accordance with the objectives of the study is sometimes accompanied by the need to split the original data sample into subsamples (groups of observations) or the use of the so-called panel data. The purpose of the st...

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Main Authors: S.I. Noskov, E.S. Popov
Format: Article
Language:English
Published: Penza State University Publishing House 2024-11-01
Series:Модели, системы, сети в экономике, технике, природе и обществе
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author S.I. Noskov
E.S. Popov
author_facet S.I. Noskov
E.S. Popov
author_sort S.I. Noskov
collection DOAJ
description Background. The construction of regression models of various complex objects in accordance with the objectives of the study is sometimes accompanied by the need to split the original data sample into subsamples (groups of observations) or the use of the so-called panel data. The purpose of the study is to modify the method for calculating estimates of the parameters of a linear regression equation developed earlier by one of the authors, using the mixed estimation method. Materials and methods. To achieve this goal, the mathematical apparatus for solving linear and linear Boolean programming problems was used. Results. This goal is formalized by setting the task of automating the formation of the composition of the index set of observation numbers to implement the antirobust estimation method within the framework of the mixed estimation method by solving a linear Boolean programming problem. Conclusions. The approach described in the work allows us to combine the advantages of the least modulus and anti-robust estimation methods when modeling. A regression model of freight turnover of road transport in the Russian Federation has been constructed that is adequate to the analyzed object.
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id doaj-art-455b4d76ae964036b1e35e27275bd92d
institution Kabale University
issn 2227-8486
language English
publishDate 2024-11-01
publisher Penza State University Publishing House
record_format Article
series Модели, системы, сети в экономике, технике, природе и обществе
spelling doaj-art-455b4d76ae964036b1e35e27275bd92d2025-01-30T12:24:49ZengPenza State University Publishing HouseМодели, системы, сети в экономике, технике, природе и обществе2227-84862024-11-0139810410.21685/2227-8486-2024-3-8Models, systems, networks in economics, engineering, nature and societyS.I. Noskov0E.S. Popov1Irkutsk State Transport UniversityIrkutsk State Transport UniversityBackground. The construction of regression models of various complex objects in accordance with the objectives of the study is sometimes accompanied by the need to split the original data sample into subsamples (groups of observations) or the use of the so-called panel data. The purpose of the study is to modify the method for calculating estimates of the parameters of a linear regression equation developed earlier by one of the authors, using the mixed estimation method. Materials and methods. To achieve this goal, the mathematical apparatus for solving linear and linear Boolean programming problems was used. Results. This goal is formalized by setting the task of automating the formation of the composition of the index set of observation numbers to implement the antirobust estimation method within the framework of the mixed estimation method by solving a linear Boolean programming problem. Conclusions. The approach described in the work allows us to combine the advantages of the least modulus and anti-robust estimation methods when modeling. A regression model of freight turnover of road transport in the Russian Federation has been constructed that is adequate to the analyzed object. regression modelparameters estimation methodsmixed estimation methodlinear and linear boolean programming problemsroad transport freight turnover
spellingShingle S.I. Noskov
E.S. Popov
Models, systems, networks in economics, engineering, nature and society
Модели, системы, сети в экономике, технике, природе и обществе
regression model
parameters estimation methods
mixed estimation method
linear and linear boolean programming problems
road transport freight turnover
title Models, systems, networks in economics, engineering, nature and society
title_full Models, systems, networks in economics, engineering, nature and society
title_fullStr Models, systems, networks in economics, engineering, nature and society
title_full_unstemmed Models, systems, networks in economics, engineering, nature and society
title_short Models, systems, networks in economics, engineering, nature and society
title_sort models systems networks in economics engineering nature and society
topic regression model
parameters estimation methods
mixed estimation method
linear and linear boolean programming problems
road transport freight turnover
work_keys_str_mv AT sinoskov modelssystemsnetworksineconomicsengineeringnatureandsociety
AT espopov modelssystemsnetworksineconomicsengineeringnatureandsociety