Linganisha mbinu
Pitia mbinu ulizochagua bega kwa bega; safu zinazotofautiana zinaangaziwa.
| Mbinu ya Viwango Vidogo Vilivyopanuliwa (GLS)× | OLS Imara (OLS yenye Makosa Sanifu Imara)× | |
|---|---|---|
| Nyanja≠ | Takwimu | Ekonometriki |
| Familia | Regression model | Regression model |
| Mwaka wa asili≠ | 1935 | 1980 |
| Mwanzilishi≠ | Alexander Craig Aitken | Halbert White |
| Aina≠ | Linear estimator | Linear regression with robust inference |
| Chanzo asilia≠ | Aitken, 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 ↗ |
| Majina mbadala≠ | GLS, Aitken estimator, EGLS, feasible GLS | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors |
| Zinazohusiana≠ | 3 | 6 |
| Muhtasari≠ | 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. | 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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