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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)× | 構造的ベクトル自己回帰 (SVAR)× | |
|---|---|---|---|
| 分野 | 計量経済学 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model | Regression model |
| 提唱年≠ | 1970 | 1970 | 1980 |
| 提唱者≠ | George Box and Gwilym Jenkins | George E. P. Box and Gwilym M. Jenkins | Sims (1980); identification schemes by Blanchard & Quah (1989) |
| 種類≠ | Time series forecasting model | Time series model | Multivariate time 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 ↗ | Blanchard, O. J., & Quah, D. (1989). The dynamic effects of aggregate demand and supply disturbances. American Economic Review, 79(4), 655-673. link ↗ |
| 別名 | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) | SVAR, structural vector autoregression, identified VAR, structural VAR model |
| 関連≠ | 6 | 5 | 5 |
| 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. | Structural VAR extends the reduced-form VAR by imposing economic theory-based restrictions that identify orthogonal structural shocks. This allows researchers to disentangle the causal effects of distinct economic disturbances — such as supply versus demand shocks — and trace their dynamic propagation through a system of variables via impulse response functions and forecast error variance decompositions. |
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