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| Autoregressione Vettoriale (VAR)× | Modello a Correzione d'Errore Vettoriale (VECM)× | |
|---|---|---|
| Campo | Econometria | Econometria |
| Famiglia | Regression model | Regression model |
| Anno di origine≠ | 1980 | 1987 |
| Ideatore≠ | Christopher A. Sims | Robert F. Engle and Clive W. J. Granger |
| Tipo | Multivariate time-series model | Multivariate time-series model |
| Fonte seminale≠ | Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48. DOI ↗ | Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗ |
| Alias | VAR, VAR model, vector autoregressive model, multivariate autoregression | VECM, error correction VAR, cointegrated VAR, vector equilibrium correction model |
| Correlati | 5 | 5 |
| Sintesi≠ | Vector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance. | The Vector Error Correction Model extends the Vector Autoregression (VAR) framework to a system of variables that share one or more long-run equilibrium relationships. It jointly models short-run dynamics and the speed at which each variable corrects back toward equilibrium after a shock, making it the standard tool for analysing cointegrated multivariate time series. |
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