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Robust Regression×최소제곱법(OLS) 회귀×
분야통계학계량경제학
계열Regression modelRegression model
기원 연도19642019
창시자Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)Wooldridge (textbook treatment); classical least squares
유형Regression with outlier resistanceLinear regression
원전Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
별칭M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimationordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련65
요약Robust 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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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