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Non-Parametric Bayesian Belief Nets versus Vines

In: Dependence Modeling Vine Copula Handbook

Author

Listed:
  • Anca Hanea

    (Delft University of Technology, Institute of Applied Mathematics, Mekelweg 4, 2628 CD Delft, the Netherlands)

Abstract

This chapter reviews aspects of non-parametric Bayesian belief nets (NPBBN). The theory behind NPBBNs is closely related to that of regular vines and it has benefited from developments in the latter. It also offers an alternative to undirected graphical models in general, and to regular vines in particular. The differences and similarities in modeling using directed versus undirected graphs are discussed in this chapter from the perspective of NPBBNs and vines. Until recently, Bayesian belief nets (BBNs) were either discrete or discrete-normal. Despite their popularity, both suffer from severe limitations. Discrete BBNs are limited by size and complexity, discrete-normal BBNs are limited by the assumption of joint normality. NPBBNs were introduced to overcome these limitations. Algorithms for specifying, sampling and analyzing high-dimensional distributions using NPBBNs have been developed and successfully applied in decision support systems.

Suggested Citation

  • Anca Hanea, 2010. "Non-Parametric Bayesian Belief Nets versus Vines," World Scientific Book Chapters, in: Dorota Kurowicka & Harry Joe (ed.), Dependence Modeling Vine Copula Handbook, chapter 14, pages 281-303, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789814299886_0014
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