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एंगले-ग्रेंजर सह-एकीकरण परीक्षण×सदिश त्रुटि सुधार मॉडल (VECM)×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष19871987
प्रवर्तकRobert F. Engle and Clive W. J. GrangerRobert F. Engle and Clive W. J. Granger
प्रकारCointegration testMultivariate time-series model
मौलिक स्रोतEngle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗
उपनामEG cointegration test, Engle-Granger two-step method, residual-based cointegration test, EG testVECM, error correction VAR, cointegrated VAR, vector equilibrium correction model
संबंधित55
सारांशThe 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.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.
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