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آزمون ریشه واحد دیکی-فولر تعمیم‌یافته (ADF)×مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش1979–19841970
پدیدآورSaid & Dickey (1984); building on Dickey & Fuller (1979)George Box and Gwilym Jenkins
نوعHypothesis test (unit root)Time series forecasting model
منبع بنیادینSaid, S. E., & Dickey, D. A. (1984). Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika, 71(3), 599–607. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
نام‌های دیگرADF test, ADF unit root test, Dickey-Fuller test (augmented), Said-Dickey testARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
مرتبط56
خلاصهThe 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.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
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ScholarGateمقایسهٔ روش‌ها: Augmented Dickey-Fuller unit root test · ARIMA model. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare