On the equivalence of some medical cost estimators with censored data

Hongwei Zhao, Heejung Bang, Hongkun Wang, Philip E. Pfeifer

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


In clinical trials comparing different treatments and in health economics and outcomes research, medical costs are frequently analysed to evaluate the economical impacts of new treatment options and economic values of health-care utilization. Since Lin et al.'s first finding in the problem of applying the survival analysis techniques to the cost data, many new methods have been proposed. In this report, we establish analytic relationships among several widely adopted medical cost estimators that are seemingly different. Specifically, we report the equivalence among various estimators that were introduced by Lin et al., Bang and Tsiatis, and Zhao and Tian. Lin's estimators are formerly known to be asymptotically unbiased in some discrete censoring situations and biased otherwise, whereas all other estimators discussed here are consistent for the expected medical cost. Thus, we identify conditions under which these estimators become identical and, consequently, the biased estimators achieve consistency. We illustrate these relationships using an example from a clinical trial examining the effectiveness of implantable cardiac defibrillators in preventing death among people who had prior myocardial infarctions.

Original languageEnglish (US)
Pages (from-to)4520-4530
Number of pages11
JournalStatistics in Medicine
Issue number24
StatePublished - Oct 30 2007
Externally publishedYes


  • Censoring
  • Cost analysis
  • Inverse probability-weighting
  • Survival analysis

ASJC Scopus subject areas

  • Epidemiology


Dive into the research topics of 'On the equivalence of some medical cost estimators with censored data'. Together they form a unique fingerprint.

Cite this