A Bayesian survival model induced by hurdle zero-modified power series discrete frailty with dispersion: an application in lung cancer
Authors:
- Katy C. MolinaKMKaty C. Molina
- Joaquín Martínez-MinayaJMJoaquín Martínez-Minaya
- Danilo AlvaresDanilo Alvares
- Vera D. TomazellaVera D. Tomazella
Preprint
Abstract
Frailty survival models are widely used to capture unobserved heterogeneity among individuals in clinical and epidemiological research. This paper introduces a Bayesian survival model that features discrete frailty induced by the hurdle zero-modified power series (HZMPS) distribution. A key characteristic of HZMPS is the inclusion of a dispersion parameter, enhancing flexibility in capturing diverse heterogeneity patterns. Furthermore, this frailty specification allows the model to distinguish individuals with higher susceptibility to the event of interest from those potentially cured or no longer at risk. We employ a Bayesian framework for parameter estimation, enabling the incorporation of prior information and robust inference, even with limited data. A simulation study is performed to explore the limits of the model. Our proposal is also applied to a lung cancer study, in which patient variability plays a crucial role in disease progression and treatment response. The findings of this study highlight the importance of more flexible frailty models in survival data analysis and emphasize the potential of the Bayesian approach to modeling heterogeneity in biomedical studies.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Multi-omics analyses reveal biological and clinical insights in recurrent stage I non-small cell lung cancerNature Communications, 2025
- Bayesian survival analysis with INLAStatistics in Medicine, 2024
- Nonproportional hazards model with a frailty term for modeling subgroups with evidence of long‐term survivors: Application to a lung cancer datasetBiometrical Journal, 2021
- A new long-term survival model with dispersion induced by discrete frailtyLifetime Data Analysis, 2019
- A review of multivariate distributions for count data derived from the Poisson distributionWIREs Computational Statistics, 2017
- Zero-modified power series distribution and its Hurdle distribution versionJournal of Statistical Computation and Simulation, 2017
- Frailty models power variance function with cure fraction and latent risk factors negative binomialCommunications in Statistics - Theory and Methods, 2016
- Survival functions for the frailty models based on the discrete compound Poisson processJournal of Statistical Computation and Simulation, 2012
- Proportional hazards models with discrete frailtyLifetime Data Analysis, 2010
- Nonparametric hazard versus nonparametric frailty distribution in modelling recurrence of breast cancerJournal of Statistical Planning and Inference, 1995