The Central Limit Theorem for Processes

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

Abstract

So far we have focused on limit theorems and inequalities for the empirical process of independent and identically distributed random variables. Most of the methods of proof apply more generally. In this chapter we indicate some extensions to the case of independent but not identically distributed processes.

Keywords

Central Limit Theorem Gaussian Process Empirical Process Entropy Condition Envelope Function 
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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