Σύγκριση μεθόδων
Εξετάστε τις επιλεγμένες μεθόδους δίπλα-δίπλα· οι γραμμές που διαφέρουν επισημαίνονται.
| Εκθετικό GARCH (EGARCH)× | Μοντέλο ARIMA (Autoregressive Integrated Moving Average)× | GJR-GARCH (Ασύμμετρο GARCH)× | |
|---|---|---|---|
| Πεδίο | Οικονομετρία | Οικονομετρία | Οικονομετρία |
| Οικογένεια | Regression model | Regression model | Regression model |
| Έτος προέλευσης≠ | 1991 | 2015 | 1993 |
| Δημιουργός≠ | Nelson | Box & Jenkins (Box-Jenkins methodology) | Glosten, Jagannathan & Runkle (1993); Zakoian (1994) |
| Τύπος≠ | Conditional volatility model (asymmetric GARCH variant) | Univariate time-series model | Asymmetric conditional volatility model |
| Θεμελιώδης πηγή≠ | 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 | Glosten, L. R., Jagannathan, R. & Runkle, D. E. (1993). On the Relation Between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. The Journal of Finance, 48(5), 1779-1801. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | asymmetric GARCH, leverage GARCH, TGARCH, GJR-GARCH — Asimetrik GARCH (Glosten-Jagannathan-Runkle) |
| Συναφείς≠ | 4 | 5 | 5 |
| Σύνοψη≠ | 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). | GJR-GARCH is a variant of the GARCH conditional-volatility model that captures the asymmetric effect of negative shocks on volatility using an indicator variable. It was introduced by Glosten, Jagannathan and Runkle (1993), with a closely related threshold formulation by Zakoian (1994). |
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