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آزمون ریشه واحد دیکی-فولر بسط‌یافته (ADF)×آزمون هم‌انباشتگی (یوهانسن / انگل-گرنجر)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش19791988
پدیدآورDavid A. Dickey & Wayne A. FullerEngle & Granger (1987); Johansen (1988)
نوعUnit-root test for stationarityTime-series cointegration test
منبع بنیادینDickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74(366a), 427–431. DOI ↗Johansen, S. (1988). Statistical Analysis of Cointegration Vectors. Journal of Economic Dynamics and Control, 12(2-3), 231-254. DOI ↗
نام‌های دیگرADF test, Dickey-Fuller test, unit root test, Genişletilmiş Dickey-Fuller testiJohansen cointegration test, Engle-Granger cointegration test, long-run equilibrium test, Eşbütünleşme Testi (Johansen/Engle-Granger)
مرتبط45
خلاصهThe Augmented Dickey-Fuller (ADF) test is the most widely used test for a unit root — that is, for whether a time series is non-stationary and must be differenced before modelling. Introduced by David Dickey and Wayne Fuller in 1979 and extended by Said and Dickey in 1984 to series with higher-order autocorrelation, it regresses the change in the series on its lagged level plus lagged differences and asks whether the lagged-level coefficient is zero.The cointegration test examines whether non-stationary time series that each contain a unit root share a stable long-run equilibrium relationship. The single-equation residual approach was introduced by Engle and Granger (1987) and the system-based rank approach by Johansen (1988).
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ScholarGateمقایسهٔ روش‌ها: Augmented Dickey-Fuller Test · Cointegration Test. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare