เปรียบเทียบวิธี

	แบบจำลอง Fourier GARCH	แบบจำลอง ARCH (Autoregressive Conditional Heteroskedasticity)
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	2000–2012	1982
ผู้ริเริ่ม	Ludlow & Enders (2000); extended by Enders & Lee (2012) Fourier framework	Robert F. Engle
ประเภท	Volatility model	Conditional volatility model
แหล่งต้นตำรับ	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.
ชื่อเรียกอื่น	Fourier GARCH, Fourier-flexible GARCH, GARCH with Fourier terms, smooth-break GARCH	ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
ที่เกี่ยวข้อง	5	6
สรุป	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.