In this paper we investigate the asymptotic properties of the test statistics for detecting change-points in the mean of a set of multivariate long-range dependent observations. The limit theorems of weighted test statistics and weighted Lp-functionals of tests are developed. The limiting processes of these statistics are structurally different from those encountered in the independent or weakly dependent case.
Print ISSN: 0721-2631
Volume: 21, 03/2003
Pages: 283