手法を比較

	フーリエARCHモデル	ARCHモデル（Autoregressive Conditional Heteroskedasticity）
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2010s	1982
提唱者	Extends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)	Robert F. Engle
種類	Volatility model with smooth structural change	Conditional volatility model
原典	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.
別名	Fourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCH	ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
関連	6	6
概要	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.