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হুবার রিগ্রেশন×Least Trimmed Squares (LTS) Regression×এম-Estimator (Robust Regression)×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানপরিসংখ্যান
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর196419842009
প্রবর্তকPeter J. HuberPeter J. RousseeuwPeter J. Huber
ধরনRobust linear regression (M-estimation)Robust linear regressionRobust linear regression
মৌলিক উৎসHuber, 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 ↗Huber, P. J., & Ronchetti, E. M. (2009). Robust Statistics (2nd ed.). Wiley. link ↗
অপর নামHuber M-estimator, Huber loss regression, robust regression, Huber RegresyonuLTS, least trimmed squares regression, trimmed least squares, robust regressionm-estimation, huber regression, robust m-regression, M-Tahmin Ediciler
সম্পর্কিত555
সারসংক্ষেপHuber 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.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.
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ScholarGateপদ্ধতির তুলনা করুন: Huber Regression · Least Trimmed Squares · M-Estimator. 2026-06-20 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare