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Regresión Robusta×Regresión por Mínimos Cuadrados Recortados (LTS)×
CampoEstadísticaEstadística
FamiliaRegression modelRegression model
Año de origen19641984
Autor originalPeter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)Peter J. Rousseeuw
TipoRegression with outlier resistanceRobust linear regression
Fuente seminalHuber, P. J. (1964). Robust estimation of a location parameter. The 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 ↗
AliasM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimationLTS, least trimmed squares regression, trimmed least squares, robust regression
Relacionados65
ResumenRobust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.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.
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ScholarGateComparar métodos: Robust Regression · Least Trimmed Squares. Recuperado el 2026-06-18 de https://scholargate.app/es/compare