Bracketing Numbers

  • Aad W. van der Vaart
  • Jon A. Wellner
Part of the Springer Series in Statistics book series (SSS)


While the VC-theory gives control over the entropy numbers of many interesting classes through simple combinatorial arguments, results on bracketing numbers can be found in approximation theory. This section gives examples. In some cases, the bracketing numbers are actually uniform in the underlying measure.


Convex Function Convex Subset Hausdorff Distance Empirical Process Supremum Norm 


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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Aad W. van der Vaart
    • 1
  • Jon A. Wellner
    • 2
  1. 1.Department of Mathematics and Computer ScienceFree UniversityAmsterdamThe Netherlands
  2. 2.StatisticsUniversity of WashingtonSeattleUSA

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