Frailty modelling approaches for semi-competing risks data
Il Do Ha (),
Liming Xiang,
Mengjiao Peng,
Jong-Hyeon Jeong and
Youngjo Lee
Additional contact information
Il Do Ha: Pukyong National University
Liming Xiang: Nanyang Technological University
Mengjiao Peng: Nanyang Technological University
Jong-Hyeon Jeong: University of Pittsburgh
Youngjo Lee: Seoul National University
Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2020, vol. 26, issue 1, No 6, 109-133
Abstract:
Abstract In the semi-competing risks situation where only a terminal event censors a non-terminal event, observed event times can be correlated. Recently, frailty models with an arbitrary baseline hazard have been studied for the analysis of such semi-competing risks data. However, their maximum likelihood estimator can be substantially biased in the finite samples. In this paper, we propose effective modifications to reduce such bias using the hierarchical likelihood. We also investigate the relationship between marginal and hierarchical likelihood approaches. Simulation results are provided to validate performance of the proposed method. The proposed method is illustrated through analysis of semi-competing risks data from a breast cancer study.
Keywords: Frailty models; Hierarchical likelihood; Marginal likelihood; Modified likelihood; Semi-competing risks (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lifeda:v:26:y:2020:i:1:d:10.1007_s10985-019-09464-2
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DOI: 10.1007/s10985-019-09464-2
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