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Examinează metodele selectate una lângă alta; rândurile care diferă sunt evidențiate.

Metoda celor mai mici pătrate ordinare (OLS)×Regresie Robustă×
DomeniuStatisticăStatistică
FamilieRegression modelRegression model
Anul apariției18051964
Autorul originalAdrien-Marie Legendre (1805); Carl Friedrich Gauss (1809)Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
TipLinear parameter estimationRegression with outlier resistance
Sursa seminalăLegendre, A.-M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la Méthode des moindres quarrés, pp. 72–80.] link ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Denumiri alternativeOLS, OLS regression, linear least squares, classical linear regressionM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
Înrudite86
RezumatOrdinary Least Squares (OLS) is the canonical method for estimating the parameters of a linear regression model by minimizing the sum of squared differences between observed and predicted values. First published by Adrien-Marie Legendre in 1805 and independently developed by Carl Friedrich Gauss (who claimed priority from 1795), OLS is provably optimal under the Gauss-Markov theorem: given its assumptions, it yields the Best Linear Unbiased Estimator (BLUE) of the regression coefficients.Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.
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ScholarGateCompară metode: Ordinary Least Squares · Robust Regression. Preluat la 2026-06-18 de pe https://scholargate.app/ro/compare