Linganisha mbinu

	Muundo wa ARCH wa Fourier (Fourier ARCH Model)	Muundo wa ARCH (Autoregressive Conditional Heteroskedasticity)
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	2010s	1982
Mwanzilishi	Extends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)	Robert F. Engle
Aina	Volatility model with smooth structural change	Conditional volatility model
Chanzo asilia	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.
Majina mbadala	Fourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCH	ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
Zinazohusiana	6	6
Muhtasari	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 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.