On Algorithms for the Nonparametric Maximum Likelihood Estimator of the Failure Function With Censored Data

Ying Zhang, Mortaza Jamshidian

Research output: Contribution to journalArticle

20 Scopus citations


In this article, we study algorithms for computing the nonparametric maximum likelihood estimator (NPMLE) of the failure function with two types of censored data: doubly censored data and (type 2) interval-censored data. We consider two projection methods, namely the iterative convex minorant algorithm (ICM) and a generalization of the Rosen algorithm (GR) and compare these methods to the well-known EM algorithm. The comparison conducted via simulation studies shows that the hybrid algorithms that alternately use the EM and OR for doubly censored data or, alternately, use the EM and ICM for (type 2) interval-censored data appear to be much more efficient than the EM, especially in large sample situation.

Original languageEnglish (US)
Pages (from-to)123-140
Number of pages18
JournalJournal of Computational and Graphical Statistics
Issue number1
StatePublished - Mar 1 2004
Externally publishedYes



  • Double censoring
  • EM algorithm
  • Gradient projection algorithm
  • Interval censoring
  • Iterative convex minorant algorithm
  • Rosen method

ASJC Scopus subject areas

  • Statistics and Probability
  • Discrete Mathematics and Combinatorics
  • Statistics, Probability and Uncertainty

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