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Usanifu wa Huber×Usawa wa Viwango Vidogo Vilivyopunguzwa (LTS) Regression×Uthabiti wa MM kwa Regresi Imara×Urejeshaji wa Njia ya Viwango Vidogo vya Kawaida (OLS)×
NyanjaTakwimuTakwimuTakwimuEkonometriki
FamiliaRegression modelRegression modelRegression modelRegression model
Mwaka wa asili1964198419872019
MwanzilishiPeter J. HuberPeter J. RousseeuwVictor J. YohaiWooldridge (textbook treatment); classical least squares
AinaRobust linear regression (M-estimation)Robust linear regressionRobust linear regressionLinear regression
Chanzo asiliaHuber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73-101. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Yohai, V. J. (1987). High Breakdown-Point and High Efficiency Robust Estimates for Regression. Annals of Statistics, 15(2), 642-656. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Majina mbadalaHuber M-estimator, Huber loss regression, robust regression, Huber RegresyonuLTS, least trimmed squares regression, trimmed least squares, robust regressionMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Ediciordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Zinazohusiana5555
MuhtasariHuber regression is a robust linear regression method, introduced by Peter J. Huber in 1964, that resists the influence of outliers by treating small and large residuals differently. It applies a squared (OLS-like) loss to small residuals and a milder absolute-value loss to large ones, so extreme observations cannot dominate the fit.Least 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.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.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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ScholarGateLinganisha mbinu: Huber Regression · Least Trimmed Squares · MM-Estimator · OLS Regression. Imepatikana 2026-06-20 kutoka https://scholargate.app/sw/compare