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| Model prepínania Markovových režimov (MS-AR / MS-VAR)× | Exponential GARCH (EGARCH)× | Zovšeobecnený autoregresný podmienený heteroskedasticity (GARCH)× | Regresia metódou najmenších štvorcov (OLS)× | |
|---|---|---|---|---|
| Odbor | Ekonometria | Ekonometria | Ekonometria | Ekonometria |
| Rodina | Regression model | Regression model | Regression model | Regression model |
| Rok vzniku≠ | 1989 | 1991 | 1986 | 2019 |
| Tvorca≠ | Hamilton (1989); Kim & Nelson (1999) | Nelson | Tim Bollerslev | Wooldridge (textbook treatment); classical least squares |
| Typ≠ | Regime-switching time series model | Conditional volatility model (asymmetric GARCH variant) | Conditional volatility model | Linear regression |
| Pôvodný 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 ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Ďalšie 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 | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Príbuzné≠ | 5 | 4 | 5 | 5 |
| Zhrnutie≠ | 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. | 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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