方法对比
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| 傅里叶 Johansen 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≠ | 2012 (Fourier extension); 1988 (Johansen original) | 1987 |
| 提出者≠ | Enders & Lee (Fourier extension); Johansen (original trace/max-eigenvalue test) | Robert F. Engle and Clive W. J. Granger |
| 类型≠ | Cointegration test with smooth structural breaks | Multivariate time-series model |
| 开创性文献≠ | Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. 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 | Fourier Johansen test, Fourier-Johansen trace test, smooth-break Johansen cointegration, FJ cointegration | VECM, error correction VAR, cointegrated VAR, vector equilibrium correction model |
| 相关 | 5 | 5 |
| 摘要≠ | The Fourier Johansen cointegration test extends the classical Johansen trace and maximum-eigenvalue tests by embedding low-frequency Fourier terms in the deterministic component of the VECM. This allows the test to remain valid when cointegrating relationships experience gradual, smooth regime shifts that standard Johansen critical values do not accommodate. | 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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