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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 4, Pages 425–434
DOI: https://doi.org/10.15372/SJNM20150407 (Mi sjvm593) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On applying Monte Carlo methods to analysis of nonlinear regression models

G. I. Rudoy

Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS, 40 Vavilov str., Moscow, 119333, Russia
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DOI: https://doi.org/10.15372/SJNM20150407
Abstract: This paper presents a criterium, called the coefficients stability for inaccuracy in determining the coefficients of nonlinear regression models describing inexact data. A`method for the coefficients stability estimation is also described. The proposed criterium is illustrated by a computational experiment with the data obtained by measurements of a refractive index dependence on the wavelength in 400–1000 nm band for a transparent polymer. The convergence of the proposed criterium to the known analytical solution for the case of linear regression is also studied.
Key words: symbolic regression, nonlinear models, solution stability, transparent medium dispersion, Monte Carlo methods.
Received: 04.06.2014
Revised: 24.03.2015
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 4, Pages 344–350
DOI: https://doi.org/10.1134/S1995423915040072
Bibliographic databases:
Document Type: Article
UDC: 519.65+519.245
Language: Russian
Citation: G. I. Rudoy, “On applying Monte Carlo methods to analysis of nonlinear regression models”, Sib. Zh. Vychisl. Mat., 18:4 (2015), 425–434; Num. Anal. Appl., 8:4 (2015), 344–350
Citation in format AMSBIB
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\pages 425--434
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\transl
\jour Num. Anal. Appl.
\yr 2015
\vol 8
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\pages 344--350
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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