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Model ARIMA (Autoregresyjny Zintegrowany Model Średniej Ruchomej)×Model Autoregresywny (AR)×Model SARIMA×
DziedzinaEkonometriaEkonometriaEkonometria
RodzinaRegression modelRegression modelRegression model
Rok powstania19701970s (popularised 1976)1970 (first edition); 1976 (revised)
TwórcaGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox, Jenkins, and Reinsel
TypTime series forecasting modelTime series modelSeasonal time series model
Źródło pierwotneBox, 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: 978-0816211043Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
Inne nazwyARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR processSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
Pokrewne665
PodsumowanieThe 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.SARIMA 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.
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ScholarGatePorównaj metody: ARIMA model · Autoregressive model · SARIMA model. Pobrano 2026-06-18 z https://scholargate.app/pl/compare