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푸리에 요한센 공적분 검정×벡터 오차 수정 모형 (VECM)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도2012 (Fourier extension); 1988 (Johansen original)1987
창시자Enders & Lee (Fourier extension); Johansen (original trace/max-eigenvalue test)Robert F. Engle and Clive W. J. Granger
유형Cointegration test with smooth structural breaksMultivariate time-series model
원전Enders, 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 ↗
별칭Fourier Johansen test, Fourier-Johansen trace test, smooth-break Johansen cointegration, FJ cointegrationVECM, error correction VAR, cointegrated VAR, vector equilibrium correction model
관련55
요약The 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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