เปรียบเทียบวิธี

	แบบจำลอง ARMA ไม่เชิงเส้น (NARMA)	แบบจำลอง ARCH (Autoregressive Conditional Heteroskedasticity)
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	1980s–1990s	1982
ผู้ริเริ่ม	Tong (1990); Granger & Terasvirta (1993)	Robert F. Engle
ประเภท	Nonlinear time series model	Conditional volatility model
แหล่งต้นตำรับ	Tong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300	Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007.
ชื่อเรียกอื่น	NARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving average	ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
ที่เกี่ยวข้อง	2	6
สรุป	The Nonlinear ARMA (NARMA) model extends the classical linear ARMA framework by allowing the conditional mean to depend on past observations and past errors through an arbitrary nonlinear function. It captures complex dynamics — such as regime changes, asymmetric cycles, and threshold effects — that linear models miss, making it valuable for economic and financial time series.	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.