Random Sample Size, Poissonization and Kac Processes

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

Abstract

It can be argued that in practice the number of available observations is random and perhaps dependent on the same random phenomenon. In the first section it is shown in fair generality that the empirical central limit theorem is valid also for random sample size.

Keywords

Poisson Process Central Limit Theorem Outer Probability Empirical Process Brownian Bridge 
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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