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| Μη Γραμμικά Ελαχίστων Τετραγώνων με Βαρύτητες (NWLS)× | Παλινδρόμηση Ελαχίστων Τετραγώνων (OLS)× | |
|---|---|---|
| Πεδίο | Οικονομετρία | Οικονομετρία |
| Οικογένεια | Regression model | Regression model |
| Έτος προέλευσης≠ | 1960s–1980s (formalized in applied econometrics) | 2019 |
| Δημιουργός≠ | Extension of Gauss-Newton nonlinear least squares with Aitken-type weighting | Wooldridge (textbook treatment); classical least squares |
| Τύπος≠ | Nonlinear regression estimator | Linear regression |
| Θεμελιώδης πηγή≠ | Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson Education. ISBN: 978-0134461366 | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Εναλλακτικές ονομασίες | NWLS, nonlinear weighted least squares, weighted nonlinear regression, heteroscedasticity-corrected nonlinear regression | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Συναφείς≠ | 3 | 5 |
| Σύνοψη≠ | Nonlinear Weighted Least Squares combines the flexibility of nonlinear regression with the variance-stabilizing power of observation-level weights. It minimises a weighted sum of squared residuals around a user-specified nonlinear mean function, making it the method of choice when the relationship is inherently nonlinear and error variance differs across observations. | 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). |
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