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Bayesian Partition for Variable Selection in the Power Series Cure Rate Model

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Interdisciplinary Bayesian Statistics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 118))

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Abstract

In this chapter we present a model of survival with a cure fraction where a feature of the model is that variable selection is performed by Bayesian partition model. To this end we consider a orthogonal hyperplane tessellation to obtain a local structure on space covariates. The proposed model is based on the promotion time where the number of competitive causes follows a power series distribution.

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Acknowledgement

The research was partially supported by the Brazilian Organizations FAPESP, CNPq and CAPES.

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Authors and Affiliations

  1. Departamento de Estatística, Universidade Federal de São Carlos, Rod, Washington Luiz, km 235, 13565-905, SP, São Carlos, Brazil

    Jhon F. B. Gonzales & Vera. L. D. Tomazella

  2. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Av. Trabalhador São-carlense, 400 - Centro, 13566-590, São Carlos, SP, Brazil

    Mário de Castro

Authors
  1. Jhon F. B. Gonzales
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  2. Vera. L. D. Tomazella
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  3. Mário de Castro
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Corresponding author

Correspondence to Jhon F. B. Gonzales .

Editor information

Editors and Affiliations

  1. Federal University of Sao Carlos, Sao Carlos, Brazil

    Adriano Polpo

  2. University of Sao Paulo, Sao Carlos, Brazil

    Francisco Louzada

  3. Campinas State University, Campinas, Brazil

    Laura L. R. Rifo

  4. Dept. of Applied Mathematics, University of Sao Paulo Institute of Mathematics and Statistics, Sao Paulo, São Paulo, Brazil

    Julio M. Stern

  5. School of Arts, Sciences and Humanities, University of Sao Paulo, Sao Paulo, São Paulo, Brazil

    Marcelo Lauretto

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Gonzales, J., Tomazella, V., Castro, M. (2015). Bayesian Partition for Variable Selection in the Power Series Cure Rate Model. In: Polpo, A., Louzada, F., Rifo, L., Stern, J., Lauretto, M. (eds) Interdisciplinary Bayesian Statistics. Springer Proceedings in Mathematics & Statistics, vol 118. Springer, Cham. https://doi.org/10.1007/978-3-319-12454-4_26

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