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Compatible prior distributions for directed acyclic graph models

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  • Alberto Roverato
  • Guido Consonni

Abstract

Summary. The application of certain Bayesian techniques, such as the Bayes factor and model averaging, requires the specification of prior distributions on the parameters of alternative models. We propose a new method for constructing compatible priors on the parameters of models nested in a given directed acyclic graph model, using a conditioning approach. We define a class of parameterizations that is consistent with the modular structure of the directed acyclic graph and derive a procedure, that is invariant within this class, which we name reference conditioning.

Suggested Citation

  • Alberto Roverato & Guido Consonni, 2004. "Compatible prior distributions for directed acyclic graph models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 47-61, February.
  • Handle: RePEc:bla:jorssb:v:66:y:2004:i:1:p:47-61
    DOI: 10.1111/j.1467-9868.2004.00431.x
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    Cited by:

    1. Natalie Commeau & Marie Cornu & Isabelle Albert & Jean‐Baptiste Denis & Eric Parent, 2012. "Hierarchical Bayesian Models to Assess Between‐ and Within‐Batch Variability of Pathogen Contamination in Food," Risk Analysis, John Wiley & Sons, vol. 32(3), pages 395-415, March.

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