CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS
Background. The paper proposes a method for constructing a linear convolution of criteria for the adequacy of regression equations based on information generated during the competition of models. Cases of compatibility and inconsistency of the system of inequalities generated by this information...
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| Format: | Article |
| Language: | English |
| Published: |
Penza State University Publishing House
2022-04-01
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| Series: | Модели, системы, сети в экономике, технике, природе и обществе |
| Subjects: |
| _version_ | 1818113371663237120 |
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| author | S.I. Noskov |
| author_facet | S.I. Noskov |
| author_sort | S.I. Noskov |
| collection | DOAJ |
| description | Background. The paper proposes a method for constructing a linear convolution
of criteria for the adequacy of regression equations based on information generated
during the competition of models. Cases of compatibility and inconsistency of the system
of inequalities generated by this information are considered. In the first of them, it is proposed
to search for a PC-solution of this system, which maximizes its resolution, and in the
second, to determine a quasi-solution of the system that minimizes the indicated inconsistency.
Materials and methods. To achieve the goal, an apparatus for solving linear programming
problems with mixed constraints is involved. Results. As a result of solving the
formed linear programming problems, the coefficients of the linear convolution of the partial
criteria for the adequacy of the regression model are estimated based on the individual
preferences of the researcher regarding the comparative significance of these criteria.
Conclusions. The constructed convolution of criteria is based on the individual preferences
of the researcher regarding the comparative significance of these criteria and can be repeatedly
used by him when constructing models of other objects. |
| first_indexed | 2024-12-11T03:33:46Z |
| format | Article |
| id | doaj.art-8cc21193c7a84ddf8cd122b39c5665b8 |
| institution | Directory Open Access Journal |
| issn | 2227-8486 |
| language | English |
| last_indexed | 2024-12-11T03:33:46Z |
| publishDate | 2022-04-01 |
| publisher | Penza State University Publishing House |
| record_format | Article |
| series | Модели, системы, сети в экономике, технике, природе и обществе |
| spelling | doaj.art-8cc21193c7a84ddf8cd122b39c5665b82022-12-22T01:22:18ZengPenza State University Publishing HouseМодели, системы, сети в экономике, технике, природе и обществе2227-84862022-04-01110.21685/2227-8486-2022-1-8CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELSS.I. Noskov0Irkutsk State Transport UniversityBackground. The paper proposes a method for constructing a linear convolution of criteria for the adequacy of regression equations based on information generated during the competition of models. Cases of compatibility and inconsistency of the system of inequalities generated by this information are considered. In the first of them, it is proposed to search for a PC-solution of this system, which maximizes its resolution, and in the second, to determine a quasi-solution of the system that minimizes the indicated inconsistency. Materials and methods. To achieve the goal, an apparatus for solving linear programming problems with mixed constraints is involved. Results. As a result of solving the formed linear programming problems, the coefficients of the linear convolution of the partial criteria for the adequacy of the regression model are estimated based on the individual preferences of the researcher regarding the comparative significance of these criteria. Conclusions. The constructed convolution of criteria is based on the individual preferences of the researcher regarding the comparative significance of these criteria and can be repeatedly used by him when constructing models of other objects.regression modellinear convolutionadequacy criteriapc-solutionquasisolutionlinear programming problem |
| spellingShingle | S.I. Noskov CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS Модели, системы, сети в экономике, технике, природе и обществе regression model linear convolution adequacy criteria pc-solution quasisolution linear programming problem |
| title | CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS |
| title_full | CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS |
| title_fullStr | CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS |
| title_full_unstemmed | CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS |
| title_short | CONSTRUCTION OF CONVOLUTION CRITERIA FOR REGRESSION MODELS |
| title_sort | construction of convolution criteria for regression models |
| topic | regression model linear convolution adequacy criteria pc-solution quasisolution linear programming problem |
| work_keys_str_mv | AT sinoskov constructionofconvolutioncriteriaforregressionmodels |