### Abstract

This work proposes a general Bayesian semiparametric model for binary data. Symmetric prior probability curves as an extension for discussed ideas from Basu and Mukhopadhyay (Generalized Linear Models: A Bayesian Perspective, pp. 231-241, 1998) are considered using the blocked Gibbs sampler, which is more general than the Polya urn Gibbs sampler. The Bayesian semiparametric approach allows us to incorporate uncertainty around the F distribution of the latent data and to model heavy-tailed or light-tailed distributions. In particular, the Bayesian semiparametric logistic model is introduced, which enables one to elicit prior distributions for regression coefficients from information about odds ratios; this is quite interesting in applied research. Then, this framework opens several possibilities to deal with binary data in the Bayesian perspective.

Original language | English |
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Title of host publication | INTERDISCIPLINARY BAYESIAN STATISTICS, EBEB 2014 |

Editors | A Polpo, F Louzada, LLR Rifo, JM Stern, M Lauretto |

Publisher | Springer |

Pages | 323-335 |

Number of pages | 13 |

ISBN (Print) | 978-3-319-12453-7 |

DOIs | |

Publication status | Published - 2015 |

Externally published | Yes |

Event | 12th Brazilian Meeting on Bayesian Statistics (EBEB) - Hotel Fazenda Hípica Atibaia, Atibaia, Brazil Duration: 10 Mar 2014 → 14 Mar 2014 https://www.ime.usp.br/~isbra/ebeb/ebeb2014/ |

### Publication series

Name | Springer Proceedings in Mathematics & Statistics |
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Publisher | SPRINGER |

Volume | 118 |

ISSN (Print) | 2194-1009 |

### Conference

Conference | 12th Brazilian Meeting on Bayesian Statistics (EBEB) |
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Country | Brazil |

City | Atibaia |

Period | 10/03/14 → 14/03/14 |

Other | he Brazilian Meeting on Bayesian Statistics (EBEB) is in its twelfth edition. This series of meetings aims at strengthening the research on Bayesian methods and widening their application. It also provides an environment where Brazilian and international researchers collaborate, present their most recent developments and discuss on open problems. EBEB also allows graduate students to make contacts with experienced researchers. This year's meeting has a particular focus on discussing recent developments in the many viewpoints of Bayesian statistics, such as computational, theoretical, methodological and applied views. |

Internet address |

## Cite this

*INTERDISCIPLINARY BAYESIAN STATISTICS, EBEB 2014*(pp. 323-335). (Springer Proceedings in Mathematics & Statistics; Vol. 118). Springer. https://doi.org/10.1007/978-3-319-12454-4_27