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Stats, Volume 5, Issue 4
2022 December - 28 articles
Cover Story: Due to the wide availability of functional data from multiple disciplines, studies on functional data analysis have become popular in recent literature. However, the related development in censored survival data has been relatively sparse. In this work, we consider the problem of analyzing time-to-event data in the presence of functional predictors. We develop a generalized Kaplan–Meier (KM) estimator that incorporates functional predictors using kernel weights. In addition, we propose to select the optimal bandwidth based on a time-dependent Brier score. We carry out extensive numerical studies to examine the finite sample performance of the proposed functional KM estimator and bandwidth selector. We illustrated the practical usage of our proposed method by using a data set from Alzheimer’s Disease Neuroimaging Initiative data. View this paper
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