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Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy
Authors:Michael Gnewuch
Affiliation:Institute of Computer Science, University of Kiel, Christian-Albrechts-Platz 4, 24098 Kiel, Germany
Abstract:In the first part of this paper we derive lower bounds and constructive upper bounds for the bracketing numbers of anchored and unanchored axis-parallel boxes in the dd-dimensional unit cube.
Keywords:Bracketing   Covering number   Metric entropy   Star discrepancy   Extreme discrepancy
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