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일반화 최소제곱법 (GLS)×Panel Generalized Least Squares (Panel GLS)×
분야통계학계량경제학
계열Regression modelRegression model
기원 연도19351935 / developed for panels 1980s–1990s
창시자Alexander Craig AitkenAitken (1935); extended to panel data by Baltagi and others
유형Linear estimatorGeneralized linear regression
원전Aitken, 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: 978-0262232586
별칭GLS, Aitken estimator, EGLS, feasible GLSPanel GLS, Generalized Least Squares for panel data, FGLS panel, feasible GLS panel
관련33
요약Generalized 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.
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