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Asymptotic properties of mean survival estimate based on the Kaplan–Meier curve with an extrapolated tail

Authors


Liang Fang, 1 DNA Way, MS 442A, South San Francisco, CA, 94080, USA.

E-mail: fang.liang@gene.com

Abstract

Asymptotic distribution of the mean survival time based on the Kaplan–Meier curve with an extrapolated ‘tail’ is derived. A closed formula of the variance estimate is provided. Asymptotic properties of the estimator were studied in a simulation study, which showed that this estimator was unbiased with proper coverage probability and followed a normal distribution. An example is used to demonstrate the application of this estimator. Copyright © 2012 John Wiley & Sons, Ltd.

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