So sánh phương pháp

	Kiểm định Đồng Tích Engle-Granger Mạnh mẽ	Kiểm định đồng tích hợp Fourier Engle-Granger
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	1987 (base); robust variants 2000s–2020s	2016
Người khởi xướng	Engle & Granger (1987); robust extensions by subsequent authors including Hao & Shaffer and others	Enders & Jones (2016), extending Engle & Granger (1987)
Loại	Cointegration test	Cointegration test
Công trình gốc	Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276.	Enders, W., & Jones, P. (2016). Grain prices, oil prices, and multiple smooth breaks in a VAR. Studies in Nonlinear Dynamics and Econometrics, 20(4), 399–419.
Tên gọi khác	robust EG cointegration, outlier-robust cointegration test, robust two-step cointegration, robust EG test	Fourier EG cointegration, Enders-Jones cointegration test, smooth structural break cointegration, FEGC test
Liên quan	5	5
Tóm tắt	The Robust Engle-Granger cointegration test adapts the classic two-step Engle-Granger procedure to withstand outliers, heavy-tailed error distributions, and additive noise that can severely distort standard residual-based cointegration inference. By substituting robust regression and robust unit-root testing for classical OLS and ADF steps, it yields reliable conclusions about long-run equilibrium relationships even when the data contain anomalous observations.	The Fourier Engle-Granger cointegration test extends the classic two-step Engle-Granger procedure by embedding low-frequency trigonometric (Fourier) terms in the cointegrating regression. This accommodates an unknown number of smooth structural breaks in the deterministic components without specifying their dates, producing a more powerful test when long-run relationships shift gradually over time.