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

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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… Click to show full 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.

Keywords: estimation marked; survival data; marked survival; dependent censoring; nonparametric estimation; survival time

Journal Title: Statistics in Medicine
Year Published: 2023

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