قارن الطرق

	نموذج الانحدار الذاتي غير الخطي (NAR)	نموذج تصحيح الخطأ المتجه غير الخطي (Nonlinear VECM)
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	1978-1990	1989–1998
صاحب الطريقة	Tong, H. (threshold AR); Terasvirta, T. (STAR variant)	Granger & Lee (1989); Enders & Granger (1998)
النوع	Nonlinear time series model	Nonlinear time-series model
المصدر التأسيسي	Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522201	Enders, W., & Granger, C. W. J. (1998). Unit-root tests and asymmetric adjustment with an example using the term structure of interest rates. Journal of Business & Economic Statistics, 16(3), 304–311.
الأسماء البديلة	NAR model, nonlinear autoregression, NLAR, threshold autoregressive model	nonlinear VECM, NVECM, threshold VECM, asymmetric VECM
ذات صلة	6	2
الملخص	The Nonlinear AR model extends the classical autoregressive framework by allowing the mapping from past values to the current value to follow an arbitrary or regime-switching nonlinear function. Major families include the Self-Exciting Threshold AR (SETAR), Smooth Transition AR (STAR), and neural network AR, each capturing different forms of asymmetry, regime shifts, or smooth nonlinear dynamics in univariate time series.	The Nonlinear VECM extends the standard linear VECM by allowing the speed of adjustment toward long-run equilibrium to differ depending on the sign, magnitude, or regime of deviations from that equilibrium. It captures asymmetric or threshold-driven dynamics in cointegrated time-series systems that a standard VECM would miss.