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| 移動平均 (MA) モデル× | 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 model | Regression model |
| 提唱年 | 1970 | 1970 |
| 提唱者≠ | Box and Jenkins | George E. P. Box and Gwilym M. Jenkins |
| 種類≠ | Linear time series model | 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: 978-0130607744 | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| 別名 | MA model, MA(q) process, moving-average process, Box-Jenkins MA | ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q) |
| 関連 | 5 | 5 |
| 概要≠ | 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. | 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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