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Robustais svērtais mazāko kvadrātu metode (Robust WLS)×Parastā mazāko kvadrātu (OLS) regresija×Kvantīļu regresija×Robustā vispārīgā mazāko kvadrātu metode (Robust GLS)×Robustā OLS (OLS ar robustām standarta kļūdām)×
NozareEkonometrijaEkonometrijaEkonometrijaEkonometrijaEkonometrija
SaimeRegression modelRegression modelRegression modelRegression modelRegression model
Izcelsmes gads1964/1981201919781936 / 19801980
AutorsHuber, P. J.Wooldridge (textbook treatment); classical least squaresKoenker & BassettAitken (GLS theory, 1936); White (robust covariance, 1980)Halbert White
TipsRobust weighted regressionLinear regressionConditional quantile regressionRobust linear regressionLinear regression with robust inference
PirmavotsHuber, P. J. (1981). Robust Statistics. Wiley. ISBN: 978-0471418054Wooldridge, 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 ↗Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
Citi nosaukumirobust weighted least squares, RWLS, heteroscedasticity-robust WLS, outlier-robust weighted regressionordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyonrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Saistītās55556
KopsavilkumsRobust WLS combines weighted least squares — which corrects for known or estimated heteroscedasticity — with robust M-estimation that down-weights influential outliers. The result is a regression estimator that is simultaneously efficient under non-constant error variance and resistant to observations that would otherwise distort coefficient estimates.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.Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure.Robust OLS applies ordinary least squares to estimate coefficients and then replaces the classical standard errors with heteroscedasticity-consistent (HC) standard errors — commonly called White standard errors. This leaves the point estimates unchanged while yielding valid t-statistics and confidence intervals even when the error variance is not constant across observations.
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ScholarGateSalīdzināt metodes: Robust WLS · OLS Regression · Quantile Regression · Robust GLS · Robust OLS. Izgūts 2026-06-18 no https://scholargate.app/lv/compare