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اختبار جوهانسين للفورير للتكامل المشترك×اختبار التكامل المشترك لإنجل-جرانجر×
المجالالاقتصاد القياسيالاقتصاد القياسي
العائلةRegression modelRegression model
سنة النشأة2012 (Fourier extension); 1988 (Johansen original)1987
صاحب الطريقةEnders & Lee (Fourier extension); Johansen (original trace/max-eigenvalue test)Robert F. Engle and Clive W. J. Granger
النوعCointegration test with smooth structural breaksCointegration test
المصدر التأسيسيEnders, 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 ↗
الأسماء البديلةFourier Johansen test, Fourier-Johansen trace test, smooth-break Johansen cointegration, FJ cointegrationEG cointegration test, Engle-Granger two-step method, residual-based cointegration test, EG test
ذات صلة55
الملخصThe 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 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.
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  1. v1
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  3. PUBLISHED

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ScholarGateقارن الطرق: Fourier Johansen cointegration · Engle-Granger Cointegration Test. استُرجع بتاريخ 2026-06-19 من https://scholargate.app/ar/compare