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آزمون هم‌انباشتگی فوریه-اِنگل-گرِینجر×مدل تصحیح خطای برداری فوریه (Fourier VECM)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش20162004–2012
پدیدآورEnders & Jones (2016), extending Engle & Granger (1987)Enders & Lee (2004/2012); extended to VECM by subsequent authors
نوعCointegration testError-correction model with Fourier terms
منبع بنیادینEnders, 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 ↗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 ↗
نام‌های دیگرFourier EG cointegration, Enders-Jones cointegration test, smooth structural break cointegration, FEGC testFourier VECM, Fourier-approximation VECM, smooth-break VECM, trigonometric VECM
مرتبط55
خلاصهThe 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.The Fourier VECM augments the classical vector error correction model with low-frequency trigonometric terms — sine and cosine components — to capture smooth, gradual structural change in cointegrating relationships without specifying the number or timing of breaks in advance. It is used for multivariate cointegrated systems where long-run equilibria may shift gradually over time.
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ScholarGateمقایسهٔ روش‌ها: Fourier Engle-Granger cointegration · Fourier VECM. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare