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M-оцењивачи (Робусна регресија)×MM-estimacija za robusnu regresiju×Regresija običnih najmanjih kvadrata (OLS)×Kvantilna regresija×
OblastStatistikaStatistikaEkonometrijaEkonometrija
PorodicaRegression modelRegression modelRegression modelRegression model
Godina nastanka2009198720191978
TvoracPeter J. HuberVictor J. YohaiWooldridge (textbook treatment); classical least squaresKoenker & Bassett
TipRobust linear regressionRobust linear regressionLinear regressionConditional quantile regression
Temeljni izvorHuber, P. J., & Ronchetti, E. M. (2009). Robust Statistics (2nd ed.). Wiley. link ↗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: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
Drugi nazivim-estimation, huber regression, robust m-regression, M-Tahmin EdicilerMM-estimation, MM robust regression, high-breakdown high-efficiency estimator, MM-Tahmin Ediciordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
Srodne5555
SažetakM-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.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).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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ScholarGateUporedite metode: M-Estimator · MM-Estimator · OLS Regression · Quantile Regression. Preuzeto 2026-06-19 sa https://scholargate.app/sr/compare