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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 134–142
DOI: https://doi.org/10.14498/vsgtu797 (Mi vsgtu797) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modeling

Linear regression estimation using generalized least absolute deviations

A. N. Tyrsina, L. A. Sokolovb

a Reliability and Resource of Large Machine and Systems, Science and Engineering Center, Ural Branch of RAS, Ekaterinburg
b Dept. of Control and Optimization Theory, Chelyabinsk State University, Chelyabinsk
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DOI: https://doi.org/10.14498/vsgtu797
Abstract: The generalized least modules method is shown in this paper. It can be applied to find estimations of parameters of the linear regression model that is based on experimental data. The theorems of existence and finding of solution are proved. The consistency of estimator is proved as well. The results of investigation of regression parameters are demonstrated here. Monte-Carlo method was used for this investigation.
Keywords: generalized least modules method, estimations, regression, consistency, experimental data
Original article submitted 04/V/2010
revision submitted – 10/X/2010
Bibliographic databases:
Document Type: Article
UDC: 519.711.3:519.237
MSC: 60-99, 62-99
Language: Russian
Citation: A. N. Tyrsin, L. A. Sokolov, “Linear regression estimation using generalized least absolute deviations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 134–142
Citation in format AMSBIB
\Bibitem{TyrSok10}
\by A.~N.~Tyrsin, L.~A.~Sokolov
\paper Linear regression estimation using generalized least absolute deviations
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 134--142
\mathnet{http://mi.mathnet.ru/vsgtu797}
\crossref{https://doi.org/10.14498/vsgtu797}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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