手法を比較
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| 自己回帰和分移動平均モデル (ARIMA Model)× | ベクトル自己回帰（VAR）モデル× | |
|---|---|---|
| 分野 | 計量経済学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1970 | 2005 |
| 提唱者≠ | George Box and Gwilym Jenkins | Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition |
| 種類≠ | Time series forecasting model | Multivariate time-series model |
| 原典≠ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗ |
| 別名 | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon |
| 関連≠ | 6 | 4 |
| 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. | Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005). |
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