Time-varying coefficients in a multivariate frailty model: Application to breast cancer recurrences of several types and death

Yassin Mazroui (), Audrey Mauguen (), Simone Mathoulin-Pélissier (), Gaetan MacGrogan (), Véronique Brouste () and Virginie Rondeau ()
Additional contact information
Yassin Mazroui: Sorbonne Universités, UPMC Univ Paris 06
Audrey Mauguen: Université Bordeaux Segalen
Simone Mathoulin-Pélissier: INSERM CIC-EC7, ISPED, Centre INSERM U-897
Gaetan MacGrogan: Institut Bergonié
Véronique Brouste: Institut Bergonié
Virginie Rondeau: Université Bordeaux Segalen

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2016, vol. 22, issue 2, No 2, 215 pages

Abstract: Abstract During their follow-up, patients with cancer can experience several types of recurrent events and can also die. Over the last decades, several joint models have been proposed to deal with recurrent events with dependent terminal event. Most of them require the proportional hazard assumption. In the case of long follow-up, this assumption could be violated. We propose a joint frailty model for two types of recurrent events and a dependent terminal event to account for potential dependencies between events with potentially time-varying coefficients. For that, regression splines are used to model the time-varying coefficients. Baseline hazard functions (BHF) are estimated with piecewise constant functions or with cubic M-Splines functions. The maximum likelihood estimation method provides parameter estimates. Likelihood ratio tests are performed to test the time dependency and the statistical association of the covariates. This model was driven by breast cancer data where the maximum follow-up was close to 20 years.

Keywords: Breast cancer; Frailty model; Penalized likelihood; Recurrent events (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10985-015-9327-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:lifeda:v:22:y:2016:i:2:d:10.1007_s10985-015-9327-y

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10985

DOI: 10.1007/s10985-015-9327-y

Access Statistics for this article

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data is currently edited by Mei-Ling Ting Lee

More articles in Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().