เปรียบเทียบวิธี
ดูวิธีที่เลือกเทียบกันแบบเคียงข้าง แถวที่ต่างกันจะถูกเน้นไว้
| DCC-GARCH (Dynamic Conditional Correlation)× | แบบจำลอง ARIMA (Autoregressive Integrated Moving Average)× | Exponential GARCH (EGARCH)× | ทฤษฎีค่าสุดขีด (Extreme Value Theory: EVT)× | |
|---|---|---|---|---|
| สาขาวิชา≠ | การเงิน | เศรษฐมิติ | เศรษฐมิติ | การเงิน |
| ตระกูล | Regression model | Regression model | Regression model | Regression model |
| ปีกำเนิด≠ | 2002 | 2015 | 1991 | 2001 |
| ผู้ริเริ่ม≠ | Robert F. Engle | Box & Jenkins (Box-Jenkins methodology) | Nelson | Coles (textbook treatment); McNeil, Frey & Embrechts |
| ประเภท≠ | Multivariate volatility model | Univariate time-series model | Conditional volatility model (asymmetric GARCH variant) | Tail / extreme-event model |
| แหล่งต้นตำรับ≠ | Engle, R. (2002). Dynamic Conditional Correlation: A Simple Class of Multivariate GARCH Models. Journal of Business & Economic Statistics, 20(3), 339-350. 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 | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗ | Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598 |
| ชื่อเรียกอื่น≠ | dynamic conditional correlation, Engle DCC, multivariate GARCH, DCC-GARCH — Dinamik Koşullu Korelasyon | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold |
| ที่เกี่ยวข้อง≠ | 5 | 5 | 4 | 5 |
| สรุป≠ | DCC-GARCH is Engle's (2002) multivariate volatility model that lets the correlations between several assets change over time. A separate univariate GARCH model is fitted to each series, and then the dynamic correlation matrix is estimated in a second, separate step. | 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). | 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. | Extreme Value Theory is a statistical framework for modelling the rare events that live in the tail of a probability distribution. As developed in Coles (2001) and applied to risk by McNeil, Frey & Embrechts (2005), it offers two standard routes: the Generalized Extreme Value (GEV) distribution for block maxima and the Generalized Pareto Distribution (GPD), used in the peaks-over-threshold approach, for exceedances above a high threshold. |
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