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آزمون ریشه واحد فورייה ADF×آزمون ریشه واحد دیکی-فولر تعمیم‌یافته (ADF)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش2006-20121979–1984
پدیدآورBecker, Enders, and Lee; Enders and LeeSaid & Dickey (1984); building on Dickey & Fuller (1979)
نوعUnit root test with smooth structural breaksHypothesis test (unit root)
منبع بنیادینBecker, R., Enders, W., & Lee, J. (2006). A stationarity test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis, 27(3), 381-409. DOI ↗Said, S. E., & Dickey, D. A. (1984). Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika, 71(3), 599–607. DOI ↗
نام‌های دیگرFourier ADF test, FADF test, Flexible Fourier ADF, Fourier-based ADF unit root testADF test, ADF unit root test, Dickey-Fuller test (augmented), Said-Dickey test
مرتبط65
خلاصهThe Fourier ADF unit root test extends the standard Augmented Dickey-Fuller framework by incorporating low-frequency Fourier terms into the deterministic component. This allows the test to approximate smooth, gradual structural breaks in the level or trend of a time series without requiring prior knowledge of break number, timing, or form.The Augmented Dickey-Fuller test is the standard procedure for determining whether a univariate time series contains a unit root — that is, whether the series is non-stationary. It extends the original Dickey-Fuller test by including lagged difference terms that absorb serial correlation in the residuals, making the test valid for a wide range of time-series processes encountered in economics and finance.
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ScholarGateمقایسهٔ روش‌ها: Fourier ADF unit root test · Augmented Dickey-Fuller unit root test. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare