A note on the bootstrapped empirical process

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Let Fn denote the empirical distribution of a sample of size n from a distribution function F, and let Hn,t denote the distribution of n(Fn(t)-F(t)). Contrary to the intuition, Hn,t is not approximated uniformly over t by its bootstrapped counterpart. The main problem is at the values of t near the tails of F. Two results exploring this phenomenon are presented here.

Original languageEnglish (US)
Pages (from-to)587-589
Number of pages3
JournalJournal of Statistical Planning and Inference
Issue number2
StatePublished - Dec 1 2004

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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