Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions
作者:
ArthurV. Peterson,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1977)
卷期:
Volume 72,
issue 360
页码: 854-858
ISSN:0162-1459
年代: 1977
DOI:10.1080/01621459.1977.10479970
出版商: Taylor & Francis Group
关键词: Censored data problem;Survival data;Life-testing;Kaplan-Meier estimator;Product-limit estimator;Subdistribution functions;Subsurvival functions
数据来源: Taylor
摘要:
The Kaplan-Meier estimator for the survival function in the censored data problem can be expressed for finite samples as an explicit function of two empirical subsurvival functions. This function is the natural one that expresses the survival function in terms of the sub-survival functions. As an illustration of the usefulness of expressing the Kaplan-Meier estimator in this way, the strong consistency of the Kaplan-Meier estimator is easily proved.
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