Comparer des méthodes

	Modèle GARCH de Fourier	Modèle ARCH (Hétéroscédasticité Conditionnelle Autorégressive)
Domaine	Économétrie	Économétrie
Famille	Regression model	Regression model
Année d'origine	2000–2012	1982
Auteur d'origine	Ludlow & Enders (2000); extended by Enders & Lee (2012) Fourier framework	Robert F. Engle
Type	Volatility model	Conditional volatility model
Source fondatrice	Ludlow, J., & Enders, W. (2000). Estimating non-linear ARMA models using Fourier coefficients. International Journal of Forecasting, 16(3), 333–347.	Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007.
Alias	Fourier GARCH, Fourier-flexible GARCH, GARCH with Fourier terms, smooth-break GARCH	ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
Apparentées	5	6
Résumé	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.	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.