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Regression Analysis of Current Status Data Under the Additive Hazards Model with Auxiliary Covariates
Authors:Yanqin Feng  Ling Ma  Jianguo Sun
Institution:1. School of Mathematics and StatisticsWuhan University;2. Department of StatisticsUniversity of Missouri
Abstract:This paper discusses regression analysis of current status or case I interval‐censored failure time data arising from the additive hazards model. In this situation, some covariates could be missing because of various reasons, but there may exist some auxiliary information about the missing covariates. To address the problem, we propose an estimated partial likelihood approach for estimation of regression parameters, which makes use of the available auxiliary information. The method can be easily implemented, and the asymptotic properties of the resulting estimates are established. To assess the finite sample performance of the proposed method, an extensive simulation study is conducted and indicates that the method works well.
Keywords:auxiliary covariates  interval‐censored data  partial likelihood function  validation sample
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