Krahasoni metodat
Shqyrtoni metodat e zgjedhura krah për krah; rreshtat që ndryshojnë janë të theksuar.
| Modeli ARIMA (Autoregresiv i Integruar Mesatar Lëvizës)× | Model DCC-GARCH (Korelacion Dinamik Kushtëzuar)× | Modeli GARCH (Parashikimi i Volatilitetit)× | |
|---|---|---|---|
| Fusha | Ekonometri | Ekonometri | Ekonometri |
| Familja | Regression model | Regression model | Regression model |
| Viti i origjinës≠ | 1970 | 2002 | 1986 |
| Krijuesi≠ | George Box and Gwilym Jenkins | Robert F. Engle | Tim Bollerslev |
| Lloji≠ | Time series forecasting model | Multivariate volatility model | Conditional volatility model |
| Burimi themelues≠ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | 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 ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ |
| Emërtime të tjera | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| Të lidhura≠ | 6 | 5 | 5 |
| Përmbledhja≠ | The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics. | 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 Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series. |
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