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최소 절사 제곱 (LTS) 회귀×M-Estimators (강건 회귀)×MM-추정량을 이용한 강건 회귀분석×
분야통계학통계학통계학
계열Regression modelRegression modelRegression model
기원 연도198420091987
창시자Peter J. RousseeuwPeter J. HuberVictor J. Yohai
유형Robust linear regressionRobust linear regressionRobust linear regression
원전Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Huber, P. J., & Ronchetti, E. M. (2009). Robust Statistics (2nd ed.). Wiley. link ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
별칭LTS, least trimmed squares regression, trimmed least squares, robust regressionm-estimation, huber regression, robust m-regression, M-Tahmin EdicilerMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
관련555
요약Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers.M-estimators are a robust generalisation of maximum likelihood estimation, formalised in the work of Peter J. Huber (Huber & Ronchetti, 2009). Instead of squaring every residual, they apply a bounded loss function so that large residuals from outliers are down-weighted rather than allowed to dominate the fit.The 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.
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