Bootstrapping the Kaplan–Meier estimator on the whole line

  • Dennis DoblerEmail author


This article is concerned with proving the consistency of Efron’s bootstrap for the Kaplan–Meier estimator on the whole support of a survival function. While previous works address the asymptotic Gaussianity of the Kaplan–Meier estimator without restricting time, we enable the construction of bootstrap-based time-simultaneous confidence bands for the whole survival function. Other practical applications include bootstrap-based confidence bands for the mean residual lifetime function or the Lorenz curve as well as confidence intervals for the Gini index. Theoretical results are complemented with a simulation study and a real data example which result in statistical recommendations.


Counting process Right censoring Resampling Efron’s bootstrap Mean residual lifetime Lorenz curve Gini index 



The author would like to thank Markus Pauly (Ulm University) for helpful discussions. Furthermore, the discussion with a referee and his / her suggestions to present numerical results and to illustrate the methods with the help of real data have helped to improve this manuscript significantly.


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Copyright information

© The Institute of Statistical Mathematics, Tokyo 2018

Authors and Affiliations

  1. 1.Institute of StatisticsUlm UniversityUlmGermany

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