ON THE QUESTION OF IDENTIFICATION OF SIMULTANEOUS EQUATIONS MODELS

UDC 519.862.6

  • Yakimenka Andrei Aliaksandravich − PhD (Physics and Mathematics), Associate Professor, Assistant Professor, the Department of Higher Mathematics. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: yakimenko@belstu.by

DOI: https://doi.org/10.52065/2520-6141-2022-260-2-10-13

Key words: simultaneous equations models, identification, structural form, reduced form, sufficient condition for identification, two-stage least squares method.

For citation: Yakimenka A. A. On the question of identification of simultaneous equations models. Proceedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2022, no. 2 (260), pp. 10–13. DOI: https://doi.org/10.52065/2520-6141-2022-260-2-10-13.

Abstract

The article deals with the problem of identification of simultaneous equations models. The definition of the problem of identification is given. The article analyzes the necessary, sufficient conditions for identification available in the literature. It has been found that some of these conditions are not true. In this work, a new sufficient condition for the solvability of the identification problem is obtained. In addition, a method for obtaining estimates of the structural form of a model of a of simultaneous equations models from estimates of the reduced form obtained by the least squares method is given. A modification of the two-stage least squares method is also given.

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13.04.2022