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| Μοντέλο Fourier ARCH× | Μοντέλο GARCH (Πρόβλεψη Μεταβλητότητας)× | |
|---|---|---|
| Πεδίο | Οικονομετρία | Οικονομετρία |
| Οικογένεια | Regression model | Regression model |
| Έτος προέλευσης≠ | 2010s | 1986 |
| Δημιουργός≠ | Extends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012) | Tim Bollerslev |
| Τύπος≠ | Volatility model with smooth structural change | Conditional volatility model |
| Θεμελιώδης πηγή≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ |
| Εναλλακτικές ονομασίες | Fourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCH | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| Συναφείς≠ | 6 | 5 |
| Σύνοψη≠ | The Fourier ARCH model extends the classical ARCH framework by incorporating trigonometric (Fourier) terms into the conditional variance equation. This allows the model to capture smooth, gradual shifts in volatility dynamics over time without assuming abrupt structural breaks, making it well-suited for long financial or macroeconomic time series subject to slowly evolving regime changes. | 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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