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Modèle ARIMA (Modèle Autorégressif Intégré à Moyenne Mobile)×Modèle ARMA (Autoregressive Moving Average)×Test de causalité de Granger×
DomaineÉconométrieÉconométrieÉconométrie
FamilleRegression modelRegression modelRegression model
Année d'origine197019701969
Auteur d'origineGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsClive W. J. Granger
TypeTime series forecasting modelTime series modelCausality test (F-test on VAR)
Source fondatriceBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424–438. DOI ↗
AliasARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)Granger test, GC test, predictive causality test, Granger non-causality test
Apparentées655
RésuméThe 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.The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.The Granger causality test is a statistical hypothesis test that determines whether past values of one time series help predict future values of another, beyond what that series' own past already explains. Introduced by Clive Granger in 1969, it is the standard approach for assessing predictive causality in VAR-based time-series analysis.
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ScholarGateComparer des méthodes: ARIMA model · ARMA model · Granger Causality Test. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare