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Robust Weighted Least Squares (Robust WLS)×কোয়ান্টাইল রিগ্রেশন×Robust Generalized Least Squares (Robust GLS)×Robust OLS (OLS with Robust Standard Errors)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1964/198119781936 / 19801980
প্রবর্তকHuber, P. J.Koenker & BassettAitken (GLS theory, 1936); White (robust covariance, 1980)Halbert White
ধরনRobust weighted regressionConditional quantile regressionRobust linear regressionLinear regression with robust inference
মৌলিক উৎসHuber, 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 ↗
অপর নামrobust 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
সম্পর্কিত5556
সারসংক্ষেপRobust 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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ScholarGateপদ্ধতির তুলনা করুন: Robust WLS · Quantile Regression · Robust GLS · Robust OLS. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare