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傅里叶 Johansen 协整检验×傅里叶恩格尔-格兰杰协整检验×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份2012 (Fourier extension); 1988 (Johansen original)2016
提出者Enders & Lee (Fourier extension); Johansen (original trace/max-eigenvalue test)Enders & Jones (2016), extending Engle & Granger (1987)
类型Cointegration test with smooth structural breaksCointegration test
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 ↗Enders, W., & Jones, P. (2016). Grain prices, oil prices, and multiple smooth breaks in a VAR. Studies in Nonlinear Dynamics and Econometrics, 20(4), 399–419. DOI ↗
别名Fourier Johansen test, Fourier-Johansen trace test, smooth-break Johansen cointegration, FJ cointegrationFourier EG cointegration, Enders-Jones cointegration test, smooth structural break cointegration, FEGC test
相关55
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 Fourier Engle-Granger cointegration test extends the classic two-step Engle-Granger procedure by embedding low-frequency trigonometric (Fourier) terms in the cointegrating regression. This accommodates an unknown number of smooth structural breaks in the deterministic components without specifying their dates, producing a more powerful test when long-run relationships shift gradually over time.
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  3. PUBLISHED

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ScholarGate方法对比: Fourier Johansen cointegration · Fourier Engle-Granger cointegration. 于 2026-06-19 检索自 https://scholargate.app/zh/compare