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Joint frailty models for recurring events and death using maximum penalized likelihood estimation: application on cancer events

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Rondeau, V., Mathoulin-Pelissier, S., Jacqmin-Gadda, H., Brouste, V., Soubeyran, P.·2006·Biostatistics

DOI 10.1093/biostatistics/kxl043

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Abstract

The observation of repeated events for subjects in cohort studies could be terminated by loss to follow-up, end of study, or a major failure event such as death. In this context, the major failure event could be correlated with recurrent events, and the usual assumption of noninformative censoring of the recurrent event process by death, required by most statistical analyses, can be violated. Recently, joint modeling for 2 survival processes has received considerable attention because it makes it possible to study the joint evolution over time of 2 processes and gives unbiased and efficient parameters. The most commonly used estimation procedure in the joint models for survival events is the expectation maximization algorithm. We show how maximum penalized likelihood estimation can be applied to nonparametric estimation of the continuous hazard functions in a general joint frailty model with right censoring and delayed entry. The simulation study demonstrates that this semiparametric approach yields satisfactory results in this complex setting. As an illustration, such an approach is applied to a prospective cohort with recurrent events of follicular lymphomas, jointly modeled with death.

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Authors: Rondeau, V., Mathoulin-Pelissier, S., Jacqmin-Gadda, H., Brouste, V., & Soubeyran, P.
Affiliations: Inserm (FR)
Institut Bergonié (FR)
Corresponding author: Rondeau, V.
ORCID: Rondeau, V.
Soubeyran, P.
Venue: Biostatistics
Publisher: Oxford University Press (OUP)
Published: 2006-12-06
Volume: 8
Issue: 4
Pages: 708-721
ISSN: 1465-4644 (ISSN-L)
1468-4357
DOI: 10.1093/biostatistics/kxl043
OpenAlex: W2121046269
Cited by: 211
References: 29
Citations by year: 2026: 11 · 2025: 13 · 2024: 9 · 2023: 9 · 2022: 12 · 2021: 20 · 2020: 18 · 2019: 28 · 2018: 16 · 2017: 10 · 2016: 10 · 2015: 5 · 2014: 14 · 2013: 7 · 2012: 9
FWCI: 2.20
Type: journal article
Language: en
Open access: green
shs.hal.science
Licence: other-oa
Locations: Biostatistics (publishedVersion)
PubMed (publishedVersion)
HAL (submittedVersion, other-oa)
HAL (submittedVersion)
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
Keywords: joint frailty model, recurrent events, death, right censoring, delayed entry, follicular lymphoma, loss to follow-up
MeSH terms: Biometry, Humans, Lymphoma, Follicular, Models, Biological, Neoplasms, Recurrence, Models, Statistical, Likelihood Functions

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Joint frailty models for recurring events and death using maximum penalized likelihood estimation: application on cancer events

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