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  • 标题:The nonparametric bootstrap for the current status model
  • 本地全文:下载
  • 作者:Piet Groeneboom ; Kim Hendrickx
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2017
  • 卷号:11
  • 期号:2
  • 页码:3446-3484
  • DOI:10.1214/17-EJS1345
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要: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 $L_{p}$-distance. We also discuss applications of this result to the current status regression model.
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