The nonparametric bootstrap for the current status model

Piet Groeneboom, Kim Hendrickx

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
22 Downloads (Pure)

Abstract

It has been proved that direct bootstrapping of the nonparametric maximum likelihood estimator (MLE) of the distribution function in the current status model leads to inconsistent confidence intervals. We show that bootstrapping of functionals of the MLE can however be used to produce valid intervals. To this end, we prove that the bootstrapped MLE converges at the right rate in the L p
Lp -distance. We also discuss applications of this result to the current status regression model.
Original languageEnglish
Pages (from-to)3446-3484
Number of pages39
JournalElectronic Journal of Statistics
Volume11
Issue number2
DOIs
Publication statusPublished - 2017

Keywords

  • Bootstrap
  • current status
  • MLE
  • smooth functionals

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