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Robust Generalized Least Squares (Robust GLS)×সাধারণীকৃত ন্যূনতম বর্গ (GLS)×প্যানেল জেনারালাইজড লিস্ট স্কোয়ার্স (প্যানেল GLS)×Robust OLS (OLS with Robust Standard Errors)×
ক্ষেত্রঅর্থমিতিপরিসংখ্যানঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1936 / 198019351935 / developed for panels 1980s–1990s1980
প্রবর্তকAitken (GLS theory, 1936); White (robust covariance, 1980)Alexander Craig AitkenAitken (1935); extended to panel data by Baltagi and othersHalbert White
ধরনRobust linear regressionLinear estimatorGeneralized linear regressionLinear regression with robust inference
মৌলিক উৎসGreene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗Wooldridge, J. M. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
অপর নামrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSGLS, Aitken estimator, EGLS, feasible GLSPanel GLS, Generalized Least Squares for panel data, FGLS panel, feasible GLS panelHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
সম্পর্কিত5336
সারসংক্ষেপRobust 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.Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.Panel GLS is a regression method for longitudinal data that explicitly models the non-spherical error structure — heteroscedasticity across units and serial correlation within units — to recover efficient coefficient estimates. Unlike OLS, it weights observations by the inverse of the error covariance matrix, yielding the Best Linear Unbiased Estimator when the error structure is correctly specified.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 GLS · Generalized Least Squares · Panel GLS · Robust OLS. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare