So sánh phương pháp

	Mô hình ARDL phi tuyến (NARDL)	Kiểm định Đồng tích hợp Engle-Granger
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	2014	1987
Người khởi xướng	Shin, Yu & Greenwood-Nimmo	Robert F. Engle and Clive W. J. Granger
Loại	Nonlinear cointegration model	Cointegration test
Công trình gốc	Shin, Y., Yu, B., & Greenwood-Nimmo, M. (2014). Modelling asymmetric cointegration and dynamic multipliers in a nonlinear ARDL framework. In R. C. Sickles & W. C. Horrace (Eds.), Festschrift in Honor of Peter Schmidt: Econometric Methods and Applications (pp. 281–314). Springer.	Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276.
Tên gọi khác	NARDL, nonlinear bounds test, asymmetric ARDL, asymmetric cointegration model	EG cointegration test, Engle-Granger two-step method, residual-based cointegration test, EG test
Liên quan	5	5
Tóm tắt	The Nonlinear ARDL (NARDL) model extends the linear ARDL bounds-testing framework to allow asymmetric long-run and short-run relationships. By decomposing the regressor into cumulative positive and negative partial sums, it tests whether increases and decreases in a variable exert different effects on the outcome — a feature especially relevant in financial and energy economics where positive and negative shocks rarely cancel out symmetrically.	The Engle-Granger two-step method tests whether two or more non-stationary I(1) time series share a common stochastic trend — that is, whether a linear combination of them is stationary. If cointegration is confirmed, an error-correction model (ECM) can be estimated to capture both short-run dynamics and long-run equilibrium adjustment.