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Robust Regression×가중 최소 제곱법 (Weighted Least Squares, WLS)×
분야통계학통계학
계열Regression modelRegression model
기원 연도19641935
창시자Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)Alexander Craig Aitken
유형Regression with outlier resistanceWeighted linear estimator
원전Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
별칭M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimationWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
관련63
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.Weighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated.
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ScholarGate방법 비교: Robust Regression · Weighted Least Squares. 2026-06-18에 다음에서 검색함: https://scholargate.app/ko/compare