Buchsteiner, Jannis2015-10-072015-10-072015http://hdl.handle.net/2003/3426210.17877/DE290R-16339Let (G(Xj)j>1 be a multivariate subordinated Gaussian process, which exhibits long-range dependence. We study the asymptotic behaviour of the corresponding sequential empirical process under two different types of subordination. The limiting process is either a product of a deterministic function and a Hermite process as in the one-dimensional case or a sum of various processes of this kind.enDiscussion Paper / SFB 823;33/2015multivariate long-range dependencesubordinated Gaussian processsequential empirical process310330620The sequential empirical process of nonlinear long-range dependent random vectorsworking paper