Simulating from marginal structural models for hazards, cause-specific hazards and subdistribution hazards using general copulas

Fuente: arXiv
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Auteur principal: Seaman, Shaun R
Format: Preprint
Publié: 2025
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author Seaman, Shaun R
author_facet Seaman, Shaun R
contents Seaman and Keogh (Biometrical Journal 2024) proposed a method for simulating data compatible with a marginal structural model (MSM) for the hazard of a survival time outcome. In this short report, I propose two extensions of this method. First, Seaman and Keogh favoured the use of a Gaussian copula, because this enables the function of the confounder history through which the hazard of failure depends on confounders to be interpreted as a risk score. Here, I describe how this interpretation can be preserved even when a non-Gaussian copula is used. Second, I extend Seaman and Keogh's method to allow simulation of data compatible with a MSM for a cause-specific or subdistribution hazard of failure in the presence of a competing event.
format Preprint
id arxiv_https___arxiv_org_abs_2508_15145
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Simulating from marginal structural models for hazards, cause-specific hazards and subdistribution hazards using general copulas
Seaman, Shaun R
Methodology
Seaman and Keogh (Biometrical Journal 2024) proposed a method for simulating data compatible with a marginal structural model (MSM) for the hazard of a survival time outcome. In this short report, I propose two extensions of this method. First, Seaman and Keogh favoured the use of a Gaussian copula, because this enables the function of the confounder history through which the hazard of failure depends on confounders to be interpreted as a risk score. Here, I describe how this interpretation can be preserved even when a non-Gaussian copula is used. Second, I extend Seaman and Keogh's method to allow simulation of data compatible with a MSM for a cause-specific or subdistribution hazard of failure in the presence of a competing event.
title Simulating from marginal structural models for hazards, cause-specific hazards and subdistribution hazards using general copulas
topic Methodology
url https://arxiv.org/abs/2508.15145