Two alternative estimation procedures for the negative binomial cure rate model with a latent activation scheme

• Diego I. Gallardo ^[1] ; Heleno Bolfarine ^[2]
  1. [1] Universidad de Antofagasta

     Universidad de Antofagasta

     Antofagasta, Chile

     
  2. [2] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 40, Nº. 1, 2016, págs. 31-54
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper two alternative estimation procedures based o n the EM algorithm are proposed for the flexible negative binomial cure rate model with a latent a ctivation scheme. The Weibull model as well as the log-normal and gamma distributions are also co nsidered for the time-to-event data for the non-destroyed cells. Simulation studies show the sa tisfactory performance of the proposed methodology. The impact of misspecifying the survival func tion on both components of the model (cured and susceptible) is also evaluated. The use of the new methodology is illustrated with a real data set related to a clinical trial on Phase III cutaneo us melanoma patients