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A proportional hazards model for time-to-event data with epidemiological bias

Zhang, Qiaozhen and Dai, Hongsheng and Fu, Bo (2016) 'A proportional hazards model for time-to-event data with epidemiological bias.' Journal of Multivariate Analysis, 152. pp. 224-236. ISSN 0047-259X

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Abstract

In hepatitis C virus (HCV) epidemiological studies, the estimation of progression to cirrhosis and prognostic effects of associated risk factors is of particular importance when projecting national disease burden. However, the progression estimates obtained from conventional methods could be distorted due to a referral bias (Fu et al., 2007). In recent years, several approaches have been developed to handle this epidemiological bias in analyzing time-to-event data. This paper proposes a new estimation approach for this problem under a semiparametric proportional hazards framework. The new method uses a martingale approach based on the mean rate function, rather than the traditional hazard rate function, and develops an iterative algorithm to estimate the Cox regression parameter and baseline hazard rate simultaneously. The consistency and asymptotic properties of the proposed estimators are derived theoretically and evaluated via simulation studies. The new method is also applied to a real HCV cohort study.

Item Type: Article
Uncontrolled Keywords: Censoring; Martingale; Proportional hazards model; Referral bias; Truncation
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: 18 Aug 2016 10:31
Last Modified: 15 Jan 2022 00:43
URI: http://repository.essex.ac.uk/id/eprint/17430

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