مقایسهٔ روش‌ها

	آزمون هم‌انباشتگی غیرخطی یوهانسن	مدل تصحیح خطای برداری (VECM)
حوزه	اقتصادسنجی	اقتصادسنجی
خانواده	Regression model	Regression model
سال پیدایش	2001	1987
پدیدآور	Breitung (2001), building on Johansen (1988, 1991)	Robert F. Engle and Clive W. J. Granger
نوع	Nonparametric rank-based cointegration test	Multivariate time-series model
منبع بنیادین	Breitung, J. (2001). Rank tests for nonlinear cointegration. Journal of Business and Economic Statistics, 19(3), 331-340.	Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276.
نام‌های دیگر	nonlinear cointegration test, threshold Johansen cointegration, rank test for nonlinear cointegration, nonlinear VECM cointegration	VECM, error correction VAR, cointegrated VAR, vector equilibrium correction model
مرتبط	3	5
خلاصه	Nonlinear Johansen cointegration extends the classical Johansen framework to detect long-run equilibrium relationships among integrated time series when the adjustment process is nonlinear. Using rank-based transformations, the approach tests for cointegration without assuming a linear error-correction mechanism, making it suitable for economic relationships characterized by asymmetric or threshold dynamics.	The Vector Error Correction Model extends the Vector Autoregression (VAR) framework to a system of variables that share one or more long-run equilibrium relationships. It jointly models short-run dynamics and the speed at which each variable corrects back toward equilibrium after a shock, making it the standard tool for analysing cointegrated multivariate time series.