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W-추정량 로버스트 회귀 (Welsch / Tukey Bisquare)×MM-추정량을 이용한 강건 회귀분석×
분야통계학통계학
계열Regression modelRegression model
기원 연도19741987
창시자Beaton & Tukey (bisquare weight); Welsch (Welsch weight)Victor J. Yohai
유형Robust regression (redescending M-estimator)Robust linear regression
원전Beaton, A. E. & Tukey, J. W. (1974). The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data. Technometrics, 16(2), 147-185. DOI ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗
별칭Tukey bisquare M-estimator, Welsch M-estimator, redescending M-estimator, W-Tahmin Edici (Welsch / Tukey Bisquare)MM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Edici
관련45
요약The W-estimator is a family of robust M-estimator variants for linear regression that use the Tukey bisquare and Welsch weight functions, introduced in the line of work going back to Beaton and Tukey (1974). Because its weights fall rapidly toward zero as a residual grows, it resists outliers more strongly than the Huber M-estimator.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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