A note on the product-limit estimator under right censoring and left truncation

Wei Yann Tsai, Nicholas P. Jewell, Mei Cheng Wang

Research output: Contribution to journalArticle


In many applications involving follow-up studies, individuals' lifetimes may be subject to left truncation in addition to the usual right censoring. Here we consider the product-limit estimator of the survival curve S or an appropriate conditional version of S. The asymptotic behaviour of the estimator is briefly described together with an example.

Original languageEnglish (US)
Pages (from-to)883-886
Number of pages4
Issue number4
StatePublished - Dec 1 1987



  • Censored data
  • Kaplan-Meier estimator
  • Survival function
  • Truncated data
  • Weak convergence

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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