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SARIMAモデル×自己回帰モデル(AR)×移動平均 (MA) モデル×
分野計量経済学計量経済学計量経済学
系統Regression modelRegression modelRegression model
提唱年1970 (first edition); 1976 (revised)1970s (popularised 1976)1970
提唱者Box, Jenkins, and ReinselGeorge E. P. Box and Gwilym M. JenkinsBox and Jenkins
種類Seasonal time series modelTime series modelLinear time series model
原典Box, 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. (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
別名SARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentAR model, AR(p) model, autoregression, AR processMA model, MA(q) process, moving-average process, Box-Jenkins MA
関連565
概要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.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.
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ScholarGate手法を比較: SARIMA model · Autoregressive model · Moving Average Model. 2026-06-18に以下より取得 https://scholargate.app/ja/compare