Reiß, Markus; Winkelmann, Lars - 2021
We study the rank of the instantaneous or spot covariance matrix ΣX(t) of a multidimensional continuous semi-martingale X(t). Given highfrequency observations X(i/n), i = 0,...,n, we test the null hypothesis rank (ΣX(t)) = r for all t against local alternatives where the average (r + 1)st...