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	फूरियर वेक्टर त्रुटि सुधार मॉडल (फूरियर VECM)	सदिश त्रुटि सुधार मॉडल (VECM)
क्षेत्र	अर्थमिति	अर्थमिति
परिवार	Regression model	Regression model
उद्भव वर्ष	2004–2012	1987
प्रवर्तक	Enders & Lee (2004/2012); extended to VECM by subsequent authors	Robert F. Engle and Clive W. J. Granger
प्रकार	Error-correction model with Fourier terms	Multivariate time-series model
मौलिक स्रोत	Enders, W., & Lee, J. (2012). A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599.	Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276.
उपनाम	Fourier VECM, Fourier-approximation VECM, smooth-break VECM, trigonometric VECM	VECM, error correction VAR, cointegrated VAR, vector equilibrium correction model
संबंधित	5	5
सारांश	The Fourier VECM augments the classical vector error correction model with low-frequency trigonometric terms — sine and cosine components — to capture smooth, gradual structural change in cointegrating relationships without specifying the number or timing of breaks in advance. It is used for multivariate cointegrated systems where long-run equilibria may shift gradually over time.	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.