Alternative asymptotics for cointegration tests in large VARs

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  Johansens(1988,1991)likelihood ratio test for cointegration rank of a Gaussian VAR depends only on the squared sample canonical correlations between current changes and past levels of a simple transformation of the data.We study the asymptotic behaviour of the empirical distribution of those squared canonical correlations when the number of observations and the dimensionality of the VAR diverge to infinity simultaneously and proportionally.
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