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| Exponential GARCH (EGARCH)× | Mô hình ARIMA (Autoregressive Integrated Moving Average)× | Generalized Autoregressive Conditional Heteroskedasticity (GARCH)× | |
|---|---|---|---|
| Lĩnh vực | Kinh tế lượng | Kinh tế lượng | Kinh tế lượng |
| Họ | Regression model | Regression model | Regression model |
| Năm ra đời≠ | 1991 | 2015 | 1986 |
| Người khởi xướng≠ | Nelson | Box & Jenkins (Box-Jenkins methodology) | Tim Bollerslev |
| Loại≠ | Conditional volatility model (asymmetric GARCH variant) | Univariate time-series model | Conditional volatility model |
| Công trình gốc≠ | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗ | 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 | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗ |
| Tên gọi khác≠ | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | GARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeli |
| Liên quan≠ | 4 | 5 | 5 |
| Tóm tắt≠ | EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance. | 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). | GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns. |
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