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Informatika i Ee Primeneniya [Informatics and its Applications], 2013, Volume 7, Issue 2, Pages 60–68
(Mi ia261)
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This article is cited in 2 scientific papers (total in 2 papers)
The error-in-variables model identification on the basis of Deming’s approach
V. S. Timofeev, V. Yu. Schekoldin, A. Yu. Timofeeva Novosibirsk State Technical University
Abstract:
Some approaches to regression models constructing with stochasticity for both endogenous and exogenous variables are considered. The original geometric interpretation of particular cases of Deming regression for parameter estimation’s functional is suggested. The proposition of mutual arrangement for straight, inverse, diagonal, and orthogonal regressions is proved. The bias and standard deviation for regression parameter estimators in dependence of weight’s coefficients ratio in Deming model has been obtained.
Keywords:
least square estimation; Deming regression; geometric interpretation; dispersion ellipse.
Citation:
V. S. Timofeev, V. Yu. Schekoldin, A. Yu. Timofeeva, “The error-in-variables model identification on the basis of Deming’s approach”, Inform. Primen., 7:2 (2013), 60–68
Linking options:
https://www.mathnet.ru/eng/ia261 https://www.mathnet.ru/eng/ia/v7/i2/p60
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Statistics & downloads: |
Abstract page: | 520 | Full-text PDF : | 179 | References: | 67 | First page: | 5 |
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