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Uniform convergence of nonparametric regressions in competing risks model with right censoring

We consider, in the presence of covariates, non independent competing risks that are subject to right censoring. We define a nonparametric estimator of the incident regression function through the generalized product-limit estimator of the conditional censorship distribution function. Under suitable...

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Bibliographic Details
Published in:Statistics & probability letters 2011-08, Vol.81 (11)
Main Authors: Bordes, Laurent, Gneyou, Kossi Essona
Format: Article
Language:English
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Online Access:Get full text
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Summary:We consider, in the presence of covariates, non independent competing risks that are subject to right censoring. We define a nonparametric estimator of the incident regression function through the generalized product-limit estimator of the conditional censorship distribution function. Under suitable conditions we establish the almost sure uniform convergence of those estimators with appropriate rate.
ISSN:0167-7152
DOI:10.1016/j.spl.2011.06.008