On consistency of the monotone MLE of survival for left truncated and interval-censored data

Wei Pan, Rick Chappell, Michael R. Kosorok

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

The nonparametric monotone MLE is used to overcome the severe under-estimation of survival functions by the NPMLE for left truncated data when a monotone hazard assumption is appropriate. In this paper, we establish the consistency of the monotone MLE for interval-censored data with or without left truncation in two different ways corresponding to two different realistic conditions.

Original languageEnglish (US)
Pages (from-to)49-57
Number of pages9
JournalStatistics and Probability Letters
Volume38
Issue number1
DOIs
StatePublished - May 15 1998

Keywords

  • Cumulative hazard function
  • Monotone hazard
  • Nonparametric maximum likelihood
  • Vague convergence

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