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A Bayesian analysis of the Conway–Maxwell–Poisson cure rate model

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Abstract

The purpose of this paper is to develop a Bayesian analysis for the right-censored survival data when immune or cured individuals may be present in the population from which the data is taken. In our approach the number of competing causes of the event of interest follows the Conway–Maxwell–Poisson distribution which generalizes the Poisson distribution. Markov chain Monte Carlo (MCMC) methods are used to develop a Bayesian procedure for the proposed model. Also, some discussions on the model selection and an illustration with a real data set are considered.

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Authors and Affiliations

  1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos, SP, Brasil

    Vicente G. Cancho & Mário de Castro

  2. Departamento de Estatística, Universidade Federal de São Carlos, Via Washington Luís, km 235, Caixa Postal 676, 13565-905, São Carlos, SP, Brasil

    Josemar Rodrigues

Authors
  1. Vicente G. Cancho
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  2. Mário de Castro
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  3. Josemar Rodrigues
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Correspondence to Mário de Castro.

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Cancho, V.G., de Castro, M. & Rodrigues, J. A Bayesian analysis of the Conway–Maxwell–Poisson cure rate model. Stat Papers 53, 165–176 (2012). https://doi.org/10.1007/s00362-010-0326-5

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  • DOI: https://doi.org/10.1007/s00362-010-0326-5

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