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Mbinu Imara ya Mraba Midogo Iliyopimwa (Robust WLS)×Regression ya Kiasi (Quantile Regression)×Generalized Least Squares (GLS) Imara×OLS Imara (OLS yenye Makosa Sanifu Imara)×
NyanjaEkonometrikiEkonometrikiEkonometrikiEkonometriki
FamiliaRegression modelRegression modelRegression modelRegression model
Mwaka wa asili1964/198119781936 / 19801980
MwanzilishiHuber, P. J.Koenker & BassettAitken (GLS theory, 1936); White (robust covariance, 1980)Halbert White
AinaRobust weighted regressionConditional quantile regressionRobust linear regressionLinear regression with robust inference
Chanzo asiliaHuber, P. J. (1981). Robust Statistics. Wiley. ISBN: 978-0471418054Koenker, 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 ↗
Majina mbadalarobust weighted least squares, RWLS, heteroscedasticity-robust WLS, outlier-robust weighted regressionconditional 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
Zinazohusiana5556
MuhtasariRobust 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.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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ScholarGateLinganisha mbinu: Robust WLS · Quantile Regression · Robust GLS · Robust OLS. Imepatikana 2026-06-18 kutoka https://scholargate.app/sw/compare