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Robustna regresija×Regresija Lasso×Regresija običnih najmanjih kvadrata (OLS)×Kvantilna regresija×
PodručjeStatistikaStrojno učenjeEkonometrijaEkonometrija
ObiteljRegression modelMachine learningRegression modelRegression model
Godina nastanka1964199620191978
TvoracPeter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)Tibshirani, R.Wooldridge (textbook treatment); classical least squaresKoenker & Bassett
VrstaRegression with outlier resistanceRegularized linear regression (L1 penalty)Linear regressionConditional quantile regression
Temeljni izvorHuber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
Drugi naziviM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimationLASSO Regresyonu, lasso, L1-regularized regression, L1 regularizationordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
Srodne6455
SažetakRobust 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.Lasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter.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).Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateUsporedite metode: Robust Regression · Lasso Regression · OLS Regression · Quantile Regression. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare