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Linganisha mbinu

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OLS Imara (OLS yenye Makosa Sanifu Imara)×Mbinu ya Viwango Vidogo Vilivyopanuliwa (GLS)×
NyanjaEkonometrikiTakwimu
FamiliaRegression modelRegression model
Mwaka wa asili19801935
MwanzilishiHalbert WhiteAlexander Craig Aitken
AinaLinear regression with robust inferenceLinear estimator
Chanzo asiliaWhite, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
Majina mbadalaHC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errorsGLS, Aitken estimator, EGLS, feasible GLS
Zinazohusiana63
MuhtasariRobust 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.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.
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ScholarGateLinganisha mbinu: Robust OLS · Generalized Least Squares. Imepatikana 2026-06-18 kutoka https://scholargate.app/sw/compare