• DOI:10.1016/0012-365X(88)90178-1
Corpus ID: 21224296

Existence of extensions and product extensions for discrete probability distributions

@article{Malvestuto1988ExistenceOE,
  title={Existence of extensions and product extensions for discrete probability distributions},
  author={F. M. Malvestuto},
  journal={Discret. Math.},
  year={1988},
  volume={69},
  pages={61-77}
}

F. M. Malvestuto

Published 1988

Mathematics, Computer Science

Discret. Math.

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Abstract Three or more probability distributions may be pairwise compatible but not collectively compatible, in the sense that they admit no common extensions. However, pairwise compatibility proves to be a necessary and sufficient condition for collective compatibility when the underlying system of distribution schemes is “acyclic”. If this is the case, then (and only then) do the distributions admit a product extension, whose expression can be computed by a simple algorithm.