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Destructive weighted Poisson cure rate models

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Abstract

In this paper, we develop a flexible cure rate survival model by assuming the number of competing causes of the event of interest to follow a compound weighted Poisson distribution. This model is more flexible in terms of dispersion than the promotion time cure model. Moreover, it gives an interesting and realistic interpretation of the biological mechanism of the occurrence of event of interest as it includes a destructive process of the initial risk factors in a competitive scenario. In other words, what is recorded is only from the undamaged portion of the original number of risk factors.

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Authors and Affiliations

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

    Josemar Rodrigues

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

    Mário de Castro & Vicente G. Cancho

  3. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4KI, Canada

    N. Balakrishnan

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

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Rodrigues, J., de Castro, M., Balakrishnan, N. et al. Destructive weighted Poisson cure rate models. Lifetime Data Anal 17, 333–346 (2011). https://doi.org/10.1007/s10985-010-9189-2

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  • DOI: https://doi.org/10.1007/s10985-010-9189-2

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