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A regularized estimation approach for case-cohort periodic follow-up studies with an application to HIV vaccine trials
Authors:Hui Zhao  Qiwei Wu  Peter B Gilbert  Ying Q Chen  Jianguo Sun
Institution:1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, P. R. China;2. Department of Statistics, University of Missouri, Columbia, MO, USA;3. Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center & Department of Biostatistics, University of Washington, Seattle, WA, USA
Abstract:This paper discusses regression analysis of the failure time data arising from case-cohort periodic follow-up studies, and one feature of such data, which makes their analysis much more difficult, is that they are usually interval-censored rather than right-censored. Although some methods have been developed for general failure time data, there does not seem to exist an established procedure for the situation considered here. To address the problem, we present a semiparametric regularized procedure and develop a simple algorithm for the implementation of the proposed method. In addition, unlike some existing procedures for similar situations, the proposed procedure is shown to have the oracle property, and an extensive simulation is conducted and it suggests that the presented approach seems to work well for practical situations. The method is applied to an HIV vaccine trial that motivated this study.
Keywords:interval censoring  penalized maximum likelihood estimation  proportional hazards model  sieve approach  variable selection
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