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

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

Author(s) -

Gong Qi,

Fang Liang

Publication year - 2012

Publication title -

pharmaceutical statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 38

eISSN - 1539-1612

pISSN - 1539-1604

DOI - 10.1002/pst.514

Subject(s) - estimator , mathematics , kaplan–meier estimator , statistics , delta method , asymptotic distribution , survival analysis , distribution (mathematics) , variance (accounting) , bias of an estimator , minimum variance unbiased estimator , mathematical analysis , economics , accounting

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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