विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| साधारण न्यूनतम वर्ग (OLS) समाश्रयण× | भारित न्यूनतम वर्ग (Weighted Least Squares - WLS)× | |
|---|---|---|
| क्षेत्र≠ | अर्थमिति | सांख्यिकी |
| परिवार | Regression model | Regression model |
| उद्भव वर्ष≠ | 2019 | 1935 |
| प्रवर्तक≠ | Wooldridge (textbook treatment); classical least squares | Alexander Craig Aitken |
| प्रकार≠ | Linear regression | Weighted linear estimator |
| मौलिक स्रोत≠ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | 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 | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares |
| संबंधित≠ | 5 | 3 |
| सारांश≠ | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). | Weighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated. |
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