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自己回帰和分移動平均モデル (ARIMA Model)×ARMAモデル(自己回帰移動平均)×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年19701970
提唱者George Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. Jenkins
種類Time series forecasting modelTime series model
原典Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
別名ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
関連65
概要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.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.
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ScholarGate手法を比較: ARIMA model · ARMA model. 2026-06-15に以下より取得 https://scholargate.app/ja/compare