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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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