Nonparametric estimation of marked survival data in the presence of dependent censoring

Author:

Sanusi Busola1ORCID,Cai Jianwen2ORCID,Hudgens Michael G.2ORCID

Affiliation:

1. Janssen Research and Development Spring House Pennsylvania USA

2. Department of Biostatistics University of North Carolina at Chapel Hill Chapel Hill North Carolina USA

Abstract

We consider nonparametrically estimating the joint distribution of a survival time and mark variable, where the survival time is subject to right censoring and the mark variable is only observed when the survival time is not censored. The possibility of dependent censoring is allowed for using inverse probability of censoring weights. The proposed estimator is shown to be consistent and asymptotically normal. Finite sample behavior of the proposed methods are investigated via simulation study. Finally, we illustrate the nonparametric estimator from a recent HIV vaccine efficacy trial.

Funder

National Institutes of Health

Publisher

Wiley

Subject

Statistics and Probability,Epidemiology

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