So sánh phương pháp

	Kiểm định đồng liên kết Johansen mạnh mẽ	Kiểm định Đồng tích hợp Engle-Granger
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	1988–2010	1987
Người khởi xướng	Johansen (1988, 1991); robust extensions by Cavaliere, Rahbek, Taylor (2010) and others	Robert F. Engle and Clive W. J. Granger
Loại	Cointegration rank test (robust variant)	Cointegration test
Công trình gốc	Johansen, S. (1991). Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models. Econometrica, 59(6), 1551–1580.	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	outlier-robust Johansen test, robust trace test, robust maximum eigenvalue test, robust cointegration rank test	EG cointegration test, Engle-Granger two-step method, residual-based cointegration test, EG test
Liên quan	5	5
Tóm tắt	The Robust Johansen Cointegration test extends the classical Johansen (1988, 1991) likelihood-ratio framework for determining the cointegrating rank of a multivariate I(1) system to settings where standard Gaussian assumptions fail — in particular when the data exhibit outliers, fat-tailed innovations, or conditional heteroskedasticity. Robust modifications adjust residuals, re-weight observations, or bootstrap critical values so that rank inference remains valid under these violations.	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.