Frailty model and dependence structure for bivariate survival data

Authors

  • Nesrine Idiou Salah Boubnider University of Constantine 3, Department of Process Engineering, Algeria https://orcid.org/0000-0002-0554-6219
  • Fatah Benatia Mohamed Khider University of Biskra, Department of Mathematics, Algeria
  • Mounir Mesbah University of Sorbonne, Department of Theoretical and Applied Statistics Laboratory, France

DOI:

https://doi.org/10.62366/crebss.2025.2.001

Keywords:

Archimedian copulas, dependence, fraility model, survival analysis

Abstract

Copulas and their uses in statistics, namely biostatistics, are a relatively new field of research. When modeling the dependence structure between a vector random variable's joint distribution and marginal distributions, copulas are crucial. In this article, we discuss recent research on this theory and how it can potentially used to analyze multivariate survival data. Lastly, an example of such a method is shown using an application on bivariate survival data from research that was examined using the SAS software's Proc Copula approach.

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Published

2025-12-22

Issue

Vol. 11 No. 2 (2025)

Section

Original scientific paper

License

Copyright (c) 2025 retained by the author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Frailty model and dependence structure for bivariate survival data. (2025). Croatian Review of Economic, Business and Social Statistics, 11(2), 1-12. https://doi.org/10.62366/crebss.2025.2.001