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3 - Exchangeable Sequences

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 introduce the concept of exchangeability and show how to construct exchangeable sequences; we present our first result of how to construct exchangeable sequences and maintain a desirable marginal distribution and provide detailed examples. We finish with an application of exchangeable constructions in a meta analysis. Bugs and R code are provided.

Keywords

exchangeable sequencegraphical modelconditionally independentinvariant distribution in an exchangeable sequencetwo- and three-level hierarchical modelsBayesian nonparametric constructionsmeta analysis applicationsR codebugs code
Type
Chapter
Information
Dependence Models via Hierarchical Structures , pp. 33 - 50
Publisher: Cambridge University Press
Print publication year: 2025

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  • Exchangeable Sequences
  • 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/10.1017/9781009584128.004
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  • Exchangeable Sequences
  • 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/10.1017/9781009584128.004
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.

  • Exchangeable Sequences
  • 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/10.1017/9781009584128.004
Available formats
×