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Modèle SARIMA×Modèle ARIMA (Modèle Autorégressif Intégré à Moyenne Mobile)×Modèle ARMA (Autoregressive Moving Average)×
DomaineÉconométrieÉconométrieÉconométrie
FamilleRegression modelRegression modelRegression model
Année d'origine1970 (first edition); 1976 (revised)19701970
Auteur d'origineBox, Jenkins, and ReinselGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. Jenkins
TypeSeasonal time series modelTime series forecasting modelTime series model
Source fondatriceBox, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744Box, 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 ↗
AliasSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Apparentées565
RésuméSARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.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.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.
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ScholarGateComparer des méthodes: SARIMA model · ARIMA model · ARMA model. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare