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Model ARIMA (Autoregressive Integrated Moving Average)×Model Autoregresif (AR)×Model Purata Bergerak (MA)×Model SARIMA×
BidangEkonometrikEkonometrikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression modelRegression model
Tahun asal19701970s (popularised 1976)19701970 (first edition); 1976 (revised)
PengasasGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox and JenkinsBox, Jenkins, and Reinsel
JenisTime series forecasting modelTime series modelLinear time series modelSeasonal time series model
Sumber perintisBox, 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: 978-0130607744Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
AliasARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR processMA model, MA(q) process, moving-average process, Box-Jenkins MASARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
Berkaitan6655
RingkasanThe 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.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.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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ScholarGateBandingkan kaedah: ARIMA model · Autoregressive model · Moving Average Model · SARIMA model. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare