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Model SARIMA×Model ARMA (Autoregresif Moving Average)×Model Purata Bergerak (MA)×
BidangEkonometrikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal1970 (first edition); 1976 (revised)19701970
PengasasBox, Jenkins, and ReinselGeorge E. P. Box and Gwilym M. JenkinsBox and Jenkins
JenisSeasonal time series modelTime series modelLinear time series model
Sumber perintisBox, 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
Berkaitan555
RingkasanSARIMA 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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ScholarGateBandingkan kaedah: SARIMA model · ARMA model · Moving Average Model. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare