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Deutsches Institut für Urbanistik
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Walter de Gruyter
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Lihong Wang

Limit theorems in change-point problems with multivariate long-range dependent observations

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.

Statistics & Decisions, Oldenbourg Wissenschaftsverlag

Print ISSN: 0721-2631
Volume: 21, 03/2003
Pages: 283

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