Donsker Theorems

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

Abstract

In this chapter we present the two main empirical central limit theorems. The first is based on uniform entropy, and its proof relies on symmetrization. The second is based on bracketing entropy.

Keywords

Central Limit Theorem Empirical Process Envelope Function Maximal Inequality Preceding Subsection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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