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Density estimation under the koziol‐green model of censoring by penalized likelihood methods

 

作者: I. Gijbels,   V. K. Klonias,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1991）
卷期: Volume 19, issue 1  

页码: 23-38

 

ISSN:0319-5724

 

年代: 1991

 

DOI:10.2307/3315534

 

出版商: Wiley‐Blackwell

 

关键词: Density estimation;censored data;maximum‐penalized‐like‐lihood estimation;Kaplan‐Meier estimator;Koziol‐Green model;proportional‐hazards model

 

数据来源: WILEY

 

摘要:

AbstractWe propose two density estimators of the survival distribution in the setting of the Koziol‐Green random‐censoring model. The estimators are obtained by maximum‐penalized‐likelihood methods, and we provide an algorithm for their numerical evaluation. We establish the strong consistency of the estimators in the Hellinger metric, theLp‐norms,p= 1,2, ∞, and a Sobolev norm, under mild conditions on the underlying survival density and the censoring d

 

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