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| ARCH modell (Autoregressive Conditional Heteroskedasticity)× | ARIMA modell (Autoregressive Integrated Moving Average)× | GARCH modell (volatilitás-előrejelzés)× | |
|---|---|---|---|
| Tudományterület | Ökonometria | Ökonometria | Ökonometria |
| Módszercsalád | Regression model | Regression model | Regression model |
| Keletkezés éve≠ | 1982 | 1970 | 1986 |
| Megalkotó≠ | Robert F. Engle | George Box and Gwilym Jenkins | Tim Bollerslev |
| Típus≠ | Conditional volatility model | Time series forecasting model | Conditional volatility model |
| Alapmű≠ | 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. (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 ↗ |
| Alternatív nevek | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| Kapcsolódó≠ | 6 | 6 | 5 |
| Összefoglaló≠ | 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 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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