So sánh phương pháp

	Đồng tích hợp Engle-Granger với tham số thay đổi theo thời gian	Kiểm định Đồng tích hợp Johansen và Mô hình Hiệu chỉnh Sai số Vector
Lĩnh vực	Kinh tế lượng	Tài chính
Họ	Regression model	Regression model
Năm ra đời	1987/1999	1991
Người khởi xướng	Engle & Granger (1987) for cointegration; Park & Hahn (1999) for TVP extension	Søren Johansen
Loại	Time-series cointegration model	Multivariate cointegration / vector error correction model
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.	Johansen, S. (1991). Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models. Econometrica, 59(6), 1551-1580.
Tên gọi khác	TVP Engle-Granger cointegration, time-varying cointegration, TVP-EG cointegration, varying-coefficient cointegration	Johansen test, VECM, vector error correction model, multivariate cointegration
Liên quan	3	3
Tóm tắt	Time-varying parameter (TVP) Engle-Granger cointegration extends the classical two-step Engle-Granger framework by allowing the long-run relationship between integrated series to evolve over time. Instead of assuming a fixed cointegrating vector, the cointegrating coefficients are modelled as stochastic processes — typically via a random walk — and estimated with the Kalman filter or related state-space methods.	The Johansen procedure is a multivariate cointegration framework, introduced by Søren Johansen in 1991, that tests for long-run equilibrium relationships among several I(1) time series. It determines how many cointegrating vectors link the series and then builds a Vector Error Correction Model (VECM) to describe the short-run dynamics around that equilibrium.