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Frailty models power variance function with cure fraction and latent risk factors negative binomial

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  • Vinicius Fernando Calsavara
  • Agatha Sacramento Rodrigues
  • Vera Lúcia Damasceno Tomazella
  • Mário de Castro

Abstract

In this article, we propose a flexible cure rate model, which is an extension of Cancho et al. (2011) 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.

Suggested Citation

  • Vinicius Fernando Calsavara & Agatha Sacramento Rodrigues & Vera Lúcia Damasceno Tomazella & Mário de Castro, 2017. "Frailty models power variance function with cure fraction and latent risk factors negative binomial," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(19), pages 9763-9776, October.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:19:p:9763-9776
    DOI: 10.1080/03610926.2016.1218029
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