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Обобщенный метод наименьших квадратов (ОМНК)×МНК с робастными стандартными ошибками×
ОбластьСтатистикаЭконометрика
СемействоRegression modelRegression model
Год появления19351980
Автор методаAlexander Craig AitkenHalbert White
ТипLinear estimatorLinear regression with robust inference
Основополагающий источникAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
Другие названияGLS, Aitken estimator, EGLS, feasible GLSHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors
Связанные36
СводкаGeneralized 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.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.
ScholarGateНабор данных
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  2. 3 Источники
  3. PUBLISHED
  1. v1
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ScholarGateСравнение методов: Generalized Least Squares · Robust OLS. Получено 2026-06-19 из https://scholargate.app/ru/compare