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Modèle SARIMA×Modèle ARMA (Autoregressive Moving Average)×Modèle Moyenne Mobile (MM)×
DomaineÉconométrieÉconométrieÉconométrie
FamilleRegression modelRegression modelRegression model
Année d'origine1970 (first edition); 1976 (revised)19701970
Auteur d'origineBox, Jenkins, and ReinselGeorge E. P. Box and Gwilym M. JenkinsBox and Jenkins
TypeSeasonal time series modelTime series modelLinear time 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., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
AliasSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)MA model, MA(q) process, moving-average process, Box-Jenkins MA
Apparentées555
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 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 Moving Average model of order q — written MA(q) — expresses the current value of a time series as a linear combination of the current and past random shocks (innovations). Unlike the AR model which uses lagged values of the series itself, the MA model uses lagged error terms, making it well-suited for capturing short-lived disturbances that dissipate over q periods.
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ScholarGateComparer des méthodes: SARIMA model · ARMA model · Moving Average Model. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare