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MM-추정량을 이용한 강건 회귀분석×최소 중앙값 제곱합 (Least Median of Squares, LMS) 회귀분석×
분야통계학통계학
계열Regression modelRegression model
기원 연도19871984
창시자Victor J. YohaiPeter J. Rousseeuw
유형Robust linear regressionRobust linear regression
원전Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗
별칭MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin EdiciLMS, least median of squares regression, en küçük medyan kareler (LMS)
관련55
요약The MM-estimator is a robust linear regression method introduced by Victor J. Yohai in 1987. It combines the high breakdown point of an S-estimator with the high efficiency of an M-estimator, so it resists outliers strongly while still using the data efficiently when errors are well-behaved.Least Median of Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of minimising the sum of squared residuals like ordinary least squares, it minimises the median of the squared residuals, which lets the fit resist contamination by up to roughly 50% outliers.
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