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Chain Graph Interpretations and Their Relations

  • Dag Sonntag
  • Jose M. Peña
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7958)

Abstract

This paper deals with different chain graph interpretations and the relations between them in terms of representable independence models. Specifically, we study the Lauritzen-Wermuth-Frydenberg, Andersson-Madigan-Pearlman and multivariate regression interpretations and present the necessary and sufficient conditions for when a chain graph of one interpretation can be perfectly translated into a chain graph of another interpretation. Moreover we also present a feasible split for the Andersson-Madigan-Pearlman interpretation with similar features as the feasible splits presented for the other two interpretations.

Keywords

Chain Graphs Lauritzen-Wermuth-Frydenberg interpretation Andersson-Madigan-Pearlman interpretation multivariate regression interpretation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Dag Sonntag
    • 1
  • Jose M. Peña
    • 1
  1. 1.ADIT, IDALinköping UniversitySweden

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