Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Model ARCH (Autoregresivní podmíněná heteroskedasticita)× | Model ARIMA (autoregresní integrovaný klouzavý průměr)× | Exponential GARCH (EGARCH)× | |
|---|---|---|---|
| Obor | Ekonometrie | Ekonometrie | Ekonometrie |
| Rodina | Regression model | Regression model | Regression model |
| Rok vzniku≠ | 1982 | 2015 | 1991 |
| Tvůrce≠ | Robert F. Engle | Box & Jenkins (Box-Jenkins methodology) | Nelson |
| Typ≠ | Conditional volatility model | Univariate time-series model | Conditional volatility model (asymmetric GARCH variant) |
| Původní zdroj≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗ |
| Další názvy≠ | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH |
| Příbuzné≠ | 6 | 5 | 4 |
| Shrnutí≠ | 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. | ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015). | 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. |
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