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| Mô hình ARIMA (Autoregressive Integrated Moving Average)× | Mô hình bộ nhớ dài (ARFIMA, FIGARCH)× | |
|---|---|---|
| Lĩnh vực≠ | Kinh tế lượng | Tài chính |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 2015 | 1980 |
| Người khởi xướng≠ | Box & Jenkins (Box-Jenkins methodology) | Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH) |
| Loại≠ | Univariate time-series model | Fractionally integrated time series model |
| Công trình gốc≠ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15-29. DOI ↗ |
| Tên gọi khác≠ | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | ARFIMA, FIGARCH, fractionally integrated models, fractional integration |
| Liên quan≠ | 5 | 4 |
| Tóm tắt≠ | ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015). | Long-memory models are fractional-integration methods that capture genuine long memory through a hyperbolically decaying autocorrelation structure. ARFIMA, introduced by Granger and Joyeux (1980), models long memory in return series, while FIGARCH, introduced by Baillie, Bollerslev and Mikkelsen (1996), captures long memory in volatility series; the parameter d measures the degree of fractional integration. |
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