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Joint modeling of recurrent events and survival: a Bayesian non-parametric approach

Paulon, G; De Iorio, M; Guglielmi, A; Ieva, F; (2020) Joint modeling of recurrent events and survival: a Bayesian non-parametric approach. Biostatistics , 21 (1) pp. 1-14. 10.1093/biostatistics/kxy026. Green open access

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Abstract

Heart failure (HF) is one of the main causes of morbidity, hospitalization, and death in the western world, and the economic burden associated with HF management is relevant and expected to increase in the future. We consider hospitalization data for HF in the most populated Italian Region, Lombardia. Data were extracted from the administrative data warehouse of the regional healthcare system. The main clinical outcome of interest is time to death and research focus is on investigating how recurrent hospitalizations affect the time to event. The main contribution of the article is to develop a joint model for gap times between consecutive rehospitalizations and survival time. The probability models for the gap times and for the survival outcome share a common patient specific frailty term. Using a flexible Dirichlet process model for %Bayesian nonparametric prior as the random-effects distribution accounts for patient heterogeneity in recurrent event trajectories. Moreover, the joint model allows for dependent censoring of gap times by death or administrative reasons and for the correlations between different gap times for the same individual. It is straightforward to include covariates in the survival and/or recurrence process through the specification of appropriate regression terms. The main advantages of the proposed methodology are wide applicability, ease of interpretation, and efficient computations. Posterior inference is implemented through Markov chain Monte Carlo methods.

Type: Article
Title: Joint modeling of recurrent events and survival: a Bayesian non-parametric approach
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/biostatistics/kxy026
Publisher version: https://doi.org/10.1093/biostatistics/kxy026
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: AFT model, Dirichlet process mixtures, Frailty, Heart failure, Rehospitalizations, Waiting times
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/10052013
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