Receipt date: 
20.12.2019
Year: 
2019
Journal number: 
УДК: 
519.862.6
DOI: 

10.26731/2658-3704.2019.4(5).50-56 

Article File: 
Pages: 
50
56
Abstract: 

The article discusses a method for estimating linear regression parameters by the anti-bass estimation method, based on minimizing the Chebyshev distance between the calculated and actual values of the dependent variable on the process history and reduced to the linear programming problem. A description of the developed software package for automated parameter estimation using a specific example is given

List of references: 

1. Noskov S.I. Technology for modeling objects with unstable functioning and uncertainty in data. – Irkutsk: Oblinformpechat. – 1996. – 320 p.

2. Ayvazyan S.A., Mkhitaryan V.S. Applied statistics and fundamentals of econometrics. – M .: Unity, 1998 . – 1022 p.

3. Draper N., Smith G. Applied regression analysis. Book 1. In 2 book. – M.: Finance and Statistics, 1986. – 366 p.

4. Draper N., Smith G. Applied regression analysis. Book 2. In 2 book. – M.: Finance and Statistics, 1986. – 351 p.

4. Seber J. Linear regression analysis. – M .: Mir Publishing House, 1980. – 456 p.

5. Dougherty K. Introduction to Econometrics. – M .: INFRA-M, 2009 . – 465 p.

6. Noskov S.I., Lonshakov R.V. Identification of parameters of piecewise linear regression // Information technologies and problems of mathematical modeling of complex systems. – 2008. – No. 6. – Pp. 63-64.

8. Ilyina N.K., Lebedeva S.A., Noskov S.I. Identification of parameters of some non-smooth regressions // Information technologies and problems of mathematical modeling of complex systems. – 2016. – No. 17. – P. 111.

9. Noskov S.I. The criterion of “consistency of behavior” in the regression analysis // Modern technologies. System analysis. Modeling. – 2013. – No. 1 (37). – Pp. 107-110.

10. Noskov S.I. Construction of econometric dependencies taking into account the criterion of “consistency of behavior” // Cybernetics and system analysis. – 1994. – No. 1. – P. 177.

11. Kreinovich V., Lakeyev A.V., Noskov S.I. Approximate linear algebra is intractable // Linear Algebra and its Applications. – 1996. – T. 232. – No. 1-3. – Pp. 45-54.

12. Bazilevsky M.P., Noskov S.I. Algorithm for the formation of a multitude of regression models by transforming a dependent variable // International Journal of Applied and Fundamental Research. – 2011. – No. 3. – Pp. 159-160.

13. Noskov S.I. Point characterization of the Pareto set in a linear multicriteria problem // Modern Technologies. System analysis. Modeling. – 2008. – No. 1 (17). – Pp. 99-101.

14. Lakeyev A.V., Noskov S.I. A description of the set of solutions of a linear equation with interval defined operator and right-hand side // Doklady Mathematics. – 1993. – T. 47. – No. 3. – P. 518.

15. Lakeev A.V., Noskov S.I. The least module method for linear regression: the number of zero approximation errors // Modern Technologies. System analysis. Modeling. – 2012. – No. 2 (34). – Pp. 48-50.

16. Noskov S.I. A generalized criterion for the consistency of behavior in regression analysis // Information technology and mathematical modeling in the management of complex systems. – 2018. – No. 1 (1). – Pp. 14-20.

17. Noskov S.I. On the method of mixed estimation of linear regression parameters // Information technologies and mathematical modeling in the management of complex systems. – 2019 . – No. 1 (2). – Pp. 41-45.

18. Noskov S.I. Identification of parameters of a piecewise linear risk function // Transport infrastructure of the Siberian region. – 2017. – T. 1. – Pp. 417-421.