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)× | Regrese metodou ordinárních nejmenších čtverců (OLS)× | |
|---|---|---|---|
| Obor | Ekonometrie | Ekonometrie | Ekonometrie |
| Rodina | Regression model | Regression model | Regression model |
| Rok vzniku≠ | 1989 | 1991 | 2019 |
| Tvůrce≠ | Hamilton (1989); Kim & Nelson (1999) | Nelson | Wooldridge (textbook treatment); classical least squares |
| Typ≠ | Regime-switching time series model | Conditional volatility model (asymmetric GARCH variant) | Linear regression |
| 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 ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Další názvy≠ | regime-switching model, Markov-switching autoregression, MS-AR, MS-VAR | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| 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. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
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