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강건 조한센 공적분 검정×패널 요한센 공적분 검정×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도1988–20102001
창시자Johansen (1988, 1991); robust extensions by Cavaliere, Rahbek, Taylor (2010) and othersLarsson, Lyhagen & Lothgren (building on Johansen 1988/1991)
유형Cointegration rank test (robust variant)Panel cointegration test
원전Johansen, S. (1991). Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models. Econometrica, 59(6), 1551–1580. DOI ↗Larsson, R., Lyhagen, J., & Lothgren, M. (2001). Likelihood-based cointegration tests in heterogeneous panels. Econometrics Journal, 4(1), 109–142. DOI ↗
별칭outlier-robust Johansen test, robust trace test, robust maximum eigenvalue test, robust cointegration rank testpanel Johansen test, Larsson-Lyhagen-Lothgren test, LLL panel cointegration, panel trace test
관련55
요약The Robust Johansen Cointegration test extends the classical Johansen (1988, 1991) likelihood-ratio framework for determining the cointegrating rank of a multivariate I(1) system to settings where standard Gaussian assumptions fail — in particular when the data exhibit outliers, fat-tailed innovations, or conditional heteroskedasticity. Robust modifications adjust residuals, re-weight observations, or bootstrap critical values so that rank inference remains valid under these violations.The Panel Johansen cointegration test extends Johansen's maximum-likelihood framework to panel data, allowing researchers to test whether multiple non-stationary variables share long-run equilibrium relationships across cross-sectional units. It pools the likelihood-ratio statistics from individual Johansen tests and compares the standardised average against a standard normal distribution, yielding greater power than single-country approaches.
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