Salīdzināt metodes
Apskatiet izvēlētās metodes blakus; rindas, kas atšķiras, ir izceltas.
| EGARCH modelis (eksponenciālais GARCH)× | ARIMA modelis (autoregresīvais integrētais slīdošais vidējais)× | GARCH modelis (volatilitātes prognozēšana)× | |
|---|---|---|---|
| Nozare | Ekonometrija | Ekonometrija | Ekonometrija |
| Saime | Regression model | Regression model | Regression model |
| Izcelsmes gads≠ | 1991 | 1970 | 1986 |
| Autors≠ | Daniel B. Nelson | George Box and Gwilym Jenkins | Tim Bollerslev |
| Tips≠ | Volatility / conditional variance model | Time series forecasting model | Conditional volatility model |
| Pirmavots≠ | Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ |
| Citi nosaukumi | Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| Saistītās≠ | 6 | 6 | 5 |
| Kopsavilkums≠ | 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. | 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 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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