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Robust Weighted Least Squares (Robust WLS)×Метод на най-малките квадрати (МНК)×Квантилна регресия×Робастни обобщени най-малки квадрати (Robust GLS)×
ОбластИконометрияИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression modelRegression model
Година на възникване1964/1981201919781936 / 1980
СъздателHuber, P. J.Wooldridge (textbook treatment); classical least squaresKoenker & BassettAitken (GLS theory, 1936); White (robust covariance, 1980)
ТипRobust weighted regressionLinear regressionConditional quantile regressionRobust linear regression
Основополагащ източникHuber, 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: 978-0131395381
Други названияrobust 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-GLS
Свързани5555
РезюмеRobust 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.
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ScholarGateСравнение на методи: Robust WLS · OLS Regression · Quantile Regression · Robust GLS. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare