Krahasoni metodat
Shqyrtoni metodat e zgjedhura krah për krah; rreshtat që ndryshojnë janë të theksuar.
| Modeli ARCH (Heteroskedasticiteti i kushtëzuar Autoregresiv)× | Model DCC-GARCH (Korelacion Dinamik Kushtëzuar)× | Modeli EGARCH (Exponential GARCH)× | |
|---|---|---|---|
| Fusha | Ekonometri | Ekonometri | Ekonometri |
| Familja | Regression model | Regression model | Regression model |
| Viti i origjinës≠ | 1982 | 2002 | 1991 |
| Krijuesi≠ | Robert F. Engle | Robert F. Engle | Daniel B. Nelson |
| Lloji≠ | Conditional volatility model | Multivariate volatility model | Volatility / conditional variance model |
| Burimi themelues≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. DOI ↗ | Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗ |
| Emërtime të tjera | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC | Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH |
| Të lidhura≠ | 6 | 5 | 6 |
| Përmbledhja≠ | The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering. | The DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series. | The Exponential GARCH (EGARCH) model, introduced by Nelson (1991), extends the standard GARCH framework by modelling the logarithm of conditional variance. This ensures variance is always positive without parameter constraints and, crucially, allows negative and positive shocks to have asymmetric effects on volatility — capturing the well-known leverage effect in financial markets. |
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