Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Fourier ARCH model× | Fourier GARCH model× | |
|---|---|---|
| Obor | Ekonometrie | Ekonometrie |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 2010s | 2000–2012 |
| Tvůrce≠ | Extends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012) | Ludlow & Enders (2000); extended by Enders & Lee (2012) Fourier framework |
| Typ≠ | Volatility model with smooth structural change | Volatility model |
| Původní zdroj≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Ludlow, J., & Enders, W. (2000). Estimating non-linear ARMA models using Fourier coefficients. International Journal of Forecasting, 16(3), 333–347. DOI ↗ |
| Další názvy | Fourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCH | Fourier GARCH, Fourier-flexible GARCH, GARCH with Fourier terms, smooth-break GARCH |
| Příbuzné≠ | 6 | 5 |
| Shrnutí≠ | 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 Fourier GARCH model embeds trigonometric Fourier terms into a standard GARCH framework to capture smooth, gradual shifts in the conditional variance process without requiring knowledge of exact structural break dates. By approximating unknown break patterns with sinusoidal functions, it jointly models volatility clustering and time-varying unconditional variance. |
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