In this paper a nonparametric variance ratio testing approach is proposed for determining the cointegration rank in … data, the strength of the cointegrating relations, or the cointegration vector(s). The latter property makes it easier to … statistic without being reflected in the asymptotic distribution. Furthermore, a consistent estimator of the cointegration space …

We consider semiparametric frequency domain analysis of cointegration between long memory processes, i.e. fractional … cointegration, allowing derivation of useful long-run relations even among stationary processes. The approach is due to Robinson …-run dynamics. We derive the asymptotic distribution theory for the FDLS estimator of the cointegration vector in the stationary …