Model based bootstrap methods for interval censored data

Bodhisattva Sen, Gongjun Xu

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

The performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data is investigated. It is shown that bootstrapping from the nonparametric maximum likelihood estimator of the survival function is inconsistent for the current status model. A model based smoothed bootstrap procedure is proposed and proved to be consistent. In fact, a general framework for proving the consistency of any model based bootstrap scheme in the current status model is established. In addition, simulation studies are conducted to illustrate the (in)-consistency of different bootstrap methods in mixed case interval censoring. The conclusions in the interval censoring model would extend more generally to estimators in regression models that exhibit non-standard rates of convergence.

Original languageEnglish (US)
Pages (from-to)121-129
Number of pages9
JournalComputational Statistics and Data Analysis
Volume81
DOIs
StatePublished - Jan 2015

Keywords

  • Consistency of bootstrap
  • Current status data
  • Mixed-case interval censoring
  • Nonparametric maximum likelihood estimator

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