Frailty models power variance function with cure fraction and latent risk factors negative binomial
- 12 September 2016
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 46 (19) , 9763-9776
Abstract
In this article, we propose a flexible cure rate model, which is an extension of Cancho et al. ( 2011 Cancho, V.G. , Rodrigues, J. , de Castro, M. (2011). A flexible model for survival data with a cure rate: A Bayesian approach. J. Appl. Stat. 38:57–70. [Taylor & Francis Online], [Web of Science ®] , [Google Scholar] ) model, by incorporating a power variance function (PVF) frailty term in latent risk. The model is more flexible in terms of dispersion and it also quantifies the unobservable heterogeneity. The parameter estimation is reached by maximum likelihood estimation procedure and Monte Carlo simulation studies are considered to evaluate the proposed model performance. The practical relevance of the model is illustrated in a real data set of preventing cancer recurrence.Keywords
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