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| Cointegrazione di Engle-Granger a Parametri Variabili nel Tempo× | Test di Cointegrazione di Johansen e Modello a Correzione d'Errore Vettoriale× | |
|---|---|---|
| Campo≠ | Econometria | Finanza |
| Famiglia | Regression model | Regression model |
| Anno di origine≠ | 1987/1999 | 1991 |
| Ideatore≠ | Engle & Granger (1987) for cointegration; Park & Hahn (1999) for TVP extension | Søren Johansen |
| Tipo≠ | Time-series cointegration model | Multivariate cointegration / vector error correction model |
| Fonte seminale≠ | Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗ | Johansen, S. (1991). Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models. Econometrica, 59(6), 1551-1580. DOI ↗ |
| Alias≠ | TVP Engle-Granger cointegration, time-varying cointegration, TVP-EG cointegration, varying-coefficient cointegration | Johansen test, VECM, vector error correction model, multivariate cointegration |
| Correlati | 3 | 3 |
| Sintesi≠ | Time-varying parameter (TVP) Engle-Granger cointegration extends the classical two-step Engle-Granger framework by allowing the long-run relationship between integrated series to evolve over time. Instead of assuming a fixed cointegrating vector, the cointegrating coefficients are modelled as stochastic processes — typically via a random walk — and estimated with the Kalman filter or related state-space methods. | The Johansen procedure is a multivariate cointegration framework, introduced by Søren Johansen in 1991, that tests for long-run equilibrium relationships among several I(1) time series. It determines how many cointegrating vectors link the series and then builds a Vector Error Correction Model (VECM) to describe the short-run dynamics around that equilibrium. |
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