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Authors

Bazilevskiy M.

Degree
PhD in Technique, Associate Professor, Irkutsk State Transport University
E-mail
mik2178@yandex.ru
Location
Irkutsk
Articles

Program complex for constructing the linear-multiplicative regressions

When constructing regression models, the key stage is the model specification, which assumes the choice of composition and the mathematical form of the relationship between the variables in regression equation. To date, there is no system of standard recommendations and methods that would form a rigorous theoretical basis for selecting a model specification. The article is devoted to the problem of specification of regression models, namely, the subset selection in linear-multiplicative regressions. Linear-multiplicative regressions are non-linear in factors, but linear in parameters, and reflect the degree of joint influence of independent variables on the dependent variable. This problem can be formalized as a problem of partial-Boolean linear programming. Since the solution of such problems requires the computational capabilities of modern computers, a universal software package was developed for constructing linear-multiplicative regressions, which can be used in technical studies, economics, business, sociology, medicine, etc. To demonstrate its work, the problem of volume modeling passing large-capacity containers at the Zabaikalsk-Manchuria railway checkpoint. At the same time, the speed of solving such computational problems was tested.
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