विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| सशक्त ओएलएस (सशक्त मानक त्रुटियों के साथ ओएलएस)× | सामान्यीकृत न्यूनतम वर्ग (GLS)× | |
|---|---|---|
| क्षेत्र≠ | अर्थमिति | सांख्यिकी |
| परिवार | Regression model | Regression model |
| उद्भव वर्ष≠ | 1980 | 1935 |
| प्रवर्तक≠ | Halbert White | Alexander Craig Aitken |
| प्रकार≠ | Linear regression with robust inference | Linear estimator |
| मौलिक स्रोत≠ | White, 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 ↗ |
| उपनाम≠ | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors | GLS, Aitken estimator, EGLS, feasible GLS |
| संबंधित≠ | 6 | 3 |
| सारांश≠ | 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. | 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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