Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Model Markovova přepínání režimů (MS-AR / MS-VAR)× | Exponential GARCH (EGARCH)× | Generalizovaná autoregresní podmíněná heteroskedasticita (GARCH)× | |
|---|---|---|---|
| Obor | Ekonometrie | Ekonometrie | Ekonometrie |
| Rodina | Regression model | Regression model | Regression model |
| Rok vzniku≠ | 1989 | 1991 | 1986 |
| Tvůrce≠ | Hamilton (1989); Kim & Nelson (1999) | Nelson | Tim Bollerslev |
| Typ≠ | Regime-switching time series model | Conditional volatility model (asymmetric GARCH variant) | Conditional volatility model |
| Původní zdroj≠ | Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357-384. DOI ↗ | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗ |
| Další názvy≠ | regime-switching model, Markov-switching autoregression, MS-AR, MS-VAR | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | GARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeli |
| Příbuzné≠ | 5 | 4 | 5 |
| Shrnutí≠ | The Markov regime-switching model lets the parameters of a time series change probabilistically across hidden regimes governed by a Markov chain. Introduced by Hamilton (1989) and developed further by Kim and Nelson (1999), it automatically detects business-cycle phases such as expansions and contractions. | 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. | 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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