Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
What About the Posterior Distributions When the Model is Non-dominated? Read chapter Read first chapter

2015 | OriginalPaper | Chapter

27. Bayesian Semiparametric Symmetric Models for Binary Data

Authors : Marcio Augusto Diniz, Carlos Alberto de Bragança Pereira, Adriano Polpo

Published in: Interdisciplinary Bayesian Statistics

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Bayesian Partition for Variable Selection in the Power Series Cure Rate Model
next chapter Assessing a Spatial Boost Model for Quantitative Trait GWAS
Literature
1.
2.
Andrews, D.F., Mallows, C.L.: Scale mixtures of normal distributions. J. R. Stat. Soc. Ser. B (Methodological). 36(1), 99–102 (1974)
3.
Antoniak, C.E.: Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems. Ann. Stat. 2(6), 1152–1174 (1974)
4.
Basu, S., Mukhopadhyay, S.: Binary response regression with normal scale mixture links. In: Dey, D.K., Ghosh, S.K., Mallick, B.K. (eds.) Generalized Linear Models: a Bayesian Perspective, pp. 231–241. Marcel Dekker, New York (1998)
5.
Blackwell, D., MacQueen, J.B.: Ferguson distributions via pólya urn schemes. Ann. Stat. 1(2), 353–355 (1973)
6.
Bliss, C.I.: The calculation of the dosage-mortality curve. Ann. Appl. Biol. 22(1), 134–167 (1935)CrossRef
7.
Brooks, S.P., Gelman, A.: General methods for monitoring convergence of iterative simulations. J. Comput Graph. Stat. 7(4), 434–455 (1998)MathSciNet
8.
Chen, M.H., Dey, D.K.: Bayesian modeling of correlated binary responses via scale mixture of multivariate normal link functions. Sankhy\=a: Indian J. Stat., Ser. A 60(3), 322–343 (1998)
9.
Connor, R.J., Mosimann, J.E.: Concepts of independence for proportions with a generalization of the Dirichlet distribution. J. Am. Stat. Assoc. 64(325), 194–206 (1969)CrossRefMATHMathSciNet
10.
Cox, D.R.: The Analysis of Binary Data. Chapman and Hall, London (1970)MATH
11.
12.
13.
Escobar, M.D., West, M.: Computing nonparametric hierarchical models. In: Dey, D.K., Müller, P., Sinha, D. (eds.) Practical Nonparametric and Semiparametric Bayesian Statistics, pp. 1–22. Springer, New York (1998)CrossRef
14.
Ferguson, T.S.:ABayesian analysis of some nonparametric problems. Ann. Stat. 1(2), 209–230 (1973)
15.
Ishwaran, H., Zarepour, M.: Markov chain Monte Carlo in approximate Dirichlet and Beta two-parameter process hierarchical models. Biometrika 87(2), 371–390 (2000)CrossRefMATHMathSciNet
16.
MacEachern, S.N.: Estimating normal means with a conjugate style Dirichlet process prior. Commun. Stat.-Simul. Comput. 23(3), 727–741 (1994)MATHMathSciNet
17.
MacEachern, S.N., Müller, P.: Estimating mixture of Dirichlet process models. J. Comput. Graph. Stat. 7(2), 223–238 (1998)
18.
Robert, C.P.: Simulation of truncated normal variables. Stat. Comput. 5(2), 121–125 (1995)CrossRefMATH
19.
20.
Metadata
Title
Bayesian Semiparametric Symmetric Models for Binary Data
Authors
Marcio Augusto Diniz
Carlos Alberto de Bragança Pereira
Adriano Polpo
Copyright Year
2015
Book
Interdisciplinary Bayesian Statistics

Print ISBN: 978-3-319-12453-7

Electronic ISBN: 978-3-319-12454-4

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-12454-4_27

Premium Partner

    Image Credits