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Asymptotic properties of mean survival estimate based on the Kaplan-Meier curve with an extrapolated tail
Authors:Gong Qi  Fang Liang
Institution:Department of Biostatistics, University of Michigan, Ann Arbor, MI, USA.
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.
Keywords:mean survival  restricted mean survival  extrapolation  variance estimate  quality‐adjusted lifetime
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