On extensions of marginals for decision-making

  • Otakar Kříž
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 747)


An extension of a set of marginals (small-dimensional distributions) is a joint probability distribution that is a ”good” representative of the knowledge (about the problem area) contained in the marginals. ”Good” means with respect to the subsequent decision-making for which the extension is needed. In the context of probabilistic expert systems, constructing the extension from the marginals may be referred to as the knowledge integration [4], reconstructability analysis [9] or marginal problem. The paper surveys different types of known extensions and on the basis of underlying principles and considerations, new types of extensions — the EEV-centroid and the weighted centroid are suggested.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Otakar Kříž
    • 1
  1. 1.Institute of Information Theory and AutomationAcademy of Sciences of the Czech RepublicPrague 8Czech Republic

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