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Modelling Survival Events with Longitudinal Covariates Measured with Error

Dai, Hongsheng and Pan, Jianxin and Bao, Yanchun (2013) 'Modelling Survival Events with Longitudinal Covariates Measured with Error.' Communications in Statistics - Theory and Methods, 42 (21). pp. 3819-3837. ISSN 0361-0926

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In survival analysis, time-dependent covariates are usually present as longitudinal data collected periodically and measured with error. The longitudinal data can be assumed to follow a linear mixed effect model and Cox regression models may be used for modelling of survival events. The hazard rate of survival times depends on the underlying time-dependent covariate measured with error, which may be described by random effects. Most existing methods proposed for such models assume a parametric distribution assumption on the random effects and specify a normally distributed error term for the linear mixed effect model. These assumptions may not be always valid in practice. In this article, we propose a new likelihood method for Cox regression models with error-contaminated time-dependent covariates. The proposed method does not require any parametric distribution assumption on random effects and random errors. Asymptotic properties for parameter estimators are provided. Simulation results show that under certain situations the proposed methods are more efficient than the existing methods. © 2013 Copyright Taylor and Francis Group, LLC.

Item Type: Article
Uncontrolled Keywords: Longitudinal measurements; Linear mixed model; Partial likelihood; Proportional hazard model; Random effects; Primary 62N01; Secondary 62N02
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health
Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 12 Nov 2014 12:46
Last Modified: 15 Jan 2022 00:54

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