Statistical inference on cointegration rank in error correction models with stationary covariates

This paper aims to extend the cointegration rank test to error correction models with exogenous stationary covariates. The distribution of the likelihood ratio statistic is a function of the canonical correlations between the equation errors with and without the covariates. The distribution approaches the chi-squared distribution as the stationary covariates lower the canonical correlations. This enables more powerful inference concerning the determination of the cointegration rank.