Σύγκριση μεθόδων

	Μοντέλο Fourier ARCH	Μοντέλο ARCH Διαρθρωμένου Σφάλματος
Πεδίο	Οικονομετρία	Οικονομετρία
Οικογένεια	Regression model	Regression model
Έτος προέλευσης	2010s	1982–1990
Δημιουργός	Extends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)	Engle (1982) for ARCH; Lamoureux & Lastrapes (1990) for break-adjusted variance persistence
Τύπος	Volatility model with smooth structural change	Volatility model with regime change
Θεμελιώδης πηγή	Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007.	Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007.
Εναλλακτικές ονομασίες	Fourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCH	ARCH with structural breaks, break-adjusted ARCH, regime-switching ARCH, SB-ARCH
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 Structural Break ARCH model extends Engle's (1982) Autoregressive Conditional Heteroscedasticity framework by explicitly accounting for abrupt, permanent shifts in the conditional variance process. Ignoring structural breaks in variance causes ARCH parameters to appear spuriously persistent, so incorporating break dummies or regime-specific parameters yields more accurate volatility estimates and better model fit.