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Робастни обобщени най-малки квадрати (Robust GLS)×Обобщени най-малки квадрати (ОНК)×
ОбластИконометрияСтатистика
СемействоRegression modelRegression model
Година на възникване1936 / 19801935
СъздателAitken (GLS theory, 1936); White (robust covariance, 1980)Alexander Craig Aitken
ТипRobust linear regressionLinear estimator
Основополагащ източникGreene, 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 ↗
Други названияrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLSGLS, Aitken estimator, EGLS, feasible GLS
Свързани53
РезюмеRobust 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.
ScholarGateНабор от данни
  1. v1
  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 3 Източници
  3. PUBLISHED

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ScholarGateСравнение на методи: Robust GLS · Generalized Least Squares. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare