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2 - Conjugate Models

Published online by Cambridge University Press:  20 March 2025

Luis E. Nieto-Barajas
Luis E. Nieto-Barajas
Affiliation:
Instituto Tecnológico Autónomo de México (ITAM)
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Summary

In this chapter we define what a conjugate family is in a Bayesian analysis context and develop detailed examples of some cases; in particular, we review the beta and binomial case, the Pareto and inverse Pareto case, the gamma and gamma case and the gamma and Poisson case. We conclude by providing a list of conjugate models.

Keywords

Bayes’s theoremconjugate modelssufficient statisticscatalog of conjugate modelsunivariate modelsmultivariate modelsbeta and binomial familyPareto and uniform familygamma and gamma familygamma and Poisson family
Type
Chapter
Information
Dependence Models via Hierarchical Structures , pp. 23 - 32
Publisher: Cambridge University Press
Print publication year: 2025

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  • Conjugate Models
  • Luis E. Nieto-Barajas, Instituto Tecnológico Autónomo de México (ITAM)
  • Book: Dependence Models via Hierarchical Structures
  • Online publication: 20 March 2025
  • Chapter DOI: https://doi.org/10.1017/9781009584128.003
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  • Conjugate Models
  • Luis E. Nieto-Barajas, Instituto Tecnológico Autónomo de México (ITAM)
  • Book: Dependence Models via Hierarchical Structures
  • Online publication: 20 March 2025
  • Chapter DOI: https://doi.org/10.1017/9781009584128.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Conjugate Models
  • Luis E. Nieto-Barajas, Instituto Tecnológico Autónomo de México (ITAM)
  • Book: Dependence Models via Hierarchical Structures
  • Online publication: 20 March 2025
  • Chapter DOI: https://doi.org/10.1017/9781009584128.003
Available formats
×