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| Modèle de Vector Autoregression (VAR)× | Régression par Moindres Carrés Ordinaires (MCO)× | Modèle à Correction d'Erreur Vectorielle (VECM)× | |
|---|---|---|---|
| Domaine | Économétrie | Économétrie | Économétrie |
| Famille | Regression model | Regression model | Regression model |
| Année d'origine≠ | 2005 | 2019 | 1987 |
| Auteur d'origine≠ | Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition | Wooldridge (textbook treatment); classical least squares | Engle & Granger |
| Type≠ | Multivariate time-series model | Linear regression | Multivariate time-series model |
| Source fondatrice≠ | Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Engle, R. F. & Granger, C. W. J. (1987). Co-Integration and Error Correction: Representation, Estimation, and Testing. Econometrica, 55(2), 251-276. DOI ↗ |
| Alias | vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | vector error correction model, error correction model, cointegration model, VECM (Vektör Hata Düzeltme Modeli) |
| Apparentées≠ | 4 | 5 | 4 |
| Résumé≠ | Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005). | 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). | The Vector Error Correction Model is a multivariate time-series model for cointegrated series that captures both their short-run dynamics and their long-run equilibrium relationship. It was introduced by Engle and Granger in 1987 as part of the cointegration and error-correction framework. |
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