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| 恩格尔-格兰杰协整检验× | 向量误差修正模型 (VECM)× | |
|---|---|---|
| 领域 | 计量经济学 | 计量经济学 |
| 方法族 | Regression model | Regression model |
| 起源年份 | 1987 | 1987 |
| 提出者 | Robert F. Engle and Clive W. J. Granger | Robert F. Engle and Clive W. J. Granger |
| 类型≠ | Cointegration test | Multivariate time-series model |
| 开创性文献 | Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗ | Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗ |
| 别名 | EG cointegration test, Engle-Granger two-step method, residual-based cointegration test, EG test | VECM, error correction VAR, cointegrated VAR, vector equilibrium correction model |
| 相关 | 5 | 5 |
| 摘要≠ | The Engle-Granger two-step method tests whether two or more non-stationary I(1) time series share a common stochastic trend — that is, whether a linear combination of them is stationary. If cointegration is confirmed, an error-correction model (ECM) can be estimated to capture both short-run dynamics and long-run equilibrium adjustment. | 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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