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Copula directed acyclic graphs

Author

Listed:
  • Eugen Pircalabelu
  • Gerda Claeskens
  • Irène Gijbels

Abstract

A new methodology for selecting a Bayesian network for continuous data outside the widely used class of multivariate normal distributions is developed. The ‘copula DAGs’ combine directed acyclic graphs and their associated probability models with copula C/D-vines. Bivariate copula densities introduce flexibility in the joint distributions of pairs of nodes in the network. An information criterion is studied for graph selection tailored to the joint modeling of data based on graphs and copulas. Examples and simulation studies show the flexibility and properties of the method.

Suggested Citation

  • Eugen Pircalabelu & Gerda Claeskens & Irène Gijbels, 2015. "Copula directed acyclic graphs," Working Papers of Department of Decision Sciences and Information Management, Leuven 504657, KU Leuven, Faculty of Economics and Business (FEB), Department of Decision Sciences and Information Management, Leuven.
  • Handle: RePEc:ete:kbiper:504657
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    File URL: https://lirias.kuleuven.be/retrieve/330114
    File Function: Copula directed acyclic graphs
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