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SARIMA-Modell×ARIMA-Modell (Autoregressives integriertes gleitendes Durchschnittsmodell)×Autoregressives Modell (AR)×
FachgebietÖkonometrieÖkonometrieÖkonometrie
FamilieRegression modelRegression modelRegression model
Entstehungsjahr1970 (first edition); 1976 (revised)19701970s (popularised 1976)
UrheberBox, Jenkins, and ReinselGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. Jenkins
TypSeasonal time series modelTime series forecasting modelTime series model
Wegweisende QuelleBox, 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. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043
AliasnamenSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR process
Verwandt566
ZusammenfassungSARIMA 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.An autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.
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ScholarGateMethoden vergleichen: SARIMA model · ARIMA model · Autoregressive model. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare