A new parametric model for survival data with long-term survivors

Quanxi Shao, Xian Zhou*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We develop a new parametric model using the three-parameter Burr XII distribution for the analysis of survival data with long-term survivors, which includes the previous Weibull mixture model as a special case. The new model is applied to the analysis of a set of leukaemia data for which previous attempts in the literature using traditional parametric models were unsatisfactory due to lack of fit. It is shown that the new model improves the fit to the leukaemia data significantly and is thus capable of providing more credible answers to a variety of statistical inference problems that are of interest to medical researchers and practitioners.

Original languageEnglish
Pages (from-to)3525-3543
Number of pages19
JournalStatistics in Medicine
Issue number22
Publication statusPublished - 30 Nov 2004
Externally publishedYes


  • Burr XII distribution
  • Deviance
  • Long-term survivors
  • Maximum likelihood estimation
  • Mixture model
  • Survival data


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