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Fourier Johansenin Sauvignon testi×Vektorikorjausmalli (VECM)×
TieteenalaEkonometriaEkonometria
MenetelmäperheRegression modelRegression model
Syntyvuosi2012 (Fourier extension); 1988 (Johansen original)1987
KehittäjäEnders & Lee (Fourier extension); Johansen (original trace/max-eigenvalue test)Robert F. Engle and Clive W. J. Granger
TyyppiCointegration test with smooth structural breaksMultivariate time-series model
AlkuperäislähdeEnders, 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. DOI ↗Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276. DOI ↗
RinnakkaisnimetFourier Johansen test, Fourier-Johansen trace test, smooth-break Johansen cointegration, FJ cointegrationVECM, error correction VAR, cointegrated VAR, vector equilibrium correction model
Liittyvät55
TiivistelmäThe Fourier Johansen cointegration test extends the classical Johansen trace and maximum-eigenvalue tests by embedding low-frequency Fourier terms in the deterministic component of the VECM. This allows the test to remain valid when cointegrating relationships experience gradual, smooth regime shifts that standard Johansen critical values do not accommodate.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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ScholarGateVertaile menetelmiä: Fourier Johansen cointegration · Vector Error Correction Model. Haettu 2026-06-17 osoitteesta https://scholargate.app/fi/compare