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Revisit Kaplan-Meier estimator in estimating QAL survival distributions. (English) Zbl 1423.62126
Summary: Quality-adjusted lifetime (QAL) is an important component in evaluation of clinical trials. In a seminal paper, R. D. Gelber et al. [Biometrics 45, No. 3, 781–795 (1989; Zbl 0715.62262)] claimed that the Kaplan-Meier estimator is inconsistent in estimating the distribution of QAL under the presence of censoring. However, in this article, we show that, with appropriate censoring indexing, the Kaplan-Meier estimator actually is consistent in some practically important QAL data settings.
MSC:
62N02 Estimation in survival analysis and censored data
62G05 Nonparametric estimation
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