Geodesic
A new version of the least squares method
News of the Kabardin-Balkar scientific center of RAS, no. 6-3 (2018), pp. 58-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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The new variant of the least square method for linear regression analysis is presented. The idea of the new version is minimization of the sum of squared distances between the hyperplanes and the given statistical points. The comparing analysis of new method and classical algorithm for dispersion is presented. The non-uniqueness of the solution of the problem of choosing a linear multifactorial function is shown. Numerical examples illustrating the main ideas of the new approach are given.
Keywords: non-classical regression analysis, hyperplane, least square method. 
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     title = {A new version of the least squares method},
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M. M. Oshkhunov; M. A. Dzhankulaeva; M. H. Kertbieva; A. A. Arian. A new version of the least squares method. News of the Kabardin-Balkar scientific center of RAS, no. 6-3 (2018), pp. 58-62. http://geodesic.mathdoc.fr/item/IZKAB_2018_6-3_a4/

[1] G. A. Korn, T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review, General Publishing Company, 2000 | MR

[2] Z. V. Nagoev, M. M. Oshkhunov, “Discrete-dynamic particle method in problems of mechanics of deformable solids”, Mechanics of Solids, 46 (2011), 622–634 | DOI

[3] M. M. Oshkhunov, Z. M. Oshkhunova, M. A. Dzhankulaeva, “Non-classical variant of regressions analysis”, Scientific bulletins Belgorod State University, Mathematics, Physics, 34, no. 5 (176), 2014, 61–66

[4] “About modification of least square method for the date approximation”, 50 years of Development of Grid-Characteristic method, MIPT (march 31-april 3 2018), 43