Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/46331
Title: Recent advances in copula-based methods for dependent censoring
Authors: Crommen, Gilles
Deresa, Negera Wakgari
D'HAEN, Myrthe 
Ding, Jie
Willems, Ilias
VAN KEILEGOM, Ingrid
Issue Date: 2025
Source: Sort (Barcelona), 49 (1) , p. 3 -42
Status: Early view
Abstract: When modeling time-to-event data that are subject to right censoring, it is commonly assumed that the survival time T and the censoring time C are independent. However, this assumption frequently fails in practice, leading to biased estimators and testing procedures having invalid type 1 error rates. To overcome this issue, several models relaxing the independent censoring assumption have been proposed in the literature. Among these, copula-based approaches have become popular due to their ability to separately model the marginal distributions of T and C and their dependence structure. This review paper gives a comprehensive overview of recent advances in copula-based methods for dependent censoring, along with a discussion of the most important historical papers on this topic. As it is well known that the distribution of (T,C) (and hence of T) is not identifed in a fully nonparametric way, we examine different strategies to achieve model identifability. These strategies consist of imposing assumptions on either the copula or the marginal distributions of T and C. Both of these approaches will be discussed, with and without covariates. We also consider the case where a dependent censoring time is accompanied by an additional latent independent censoring time. Lastly, we briefy explain alternative approaches that are not based on copulas. MSC: 62Nxx, 62-02.
Keywords: Copula;Dependent censoring;Identifability;Survival analysis.
Document URI: http://hdl.handle.net/1942/46331
ISSN: 1696-2281
e-ISSN: 2013-8830
DOI: 10.57645/20.8080.02.21
ISI #: 001510030900001
Category: A1
Type: Journal Contribution
Appears in Collections:Research publications

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