Resumo

GONZALEZ, José Alejandro  e  CASCONE, Marcos Henrique. Geodesic distribution in graph theory: Kullback-Leibler-Symmetric . Rev. Mat [online]. 2014, vol.21, n.2, pp.249-260. ISSN 1409-2433.

Kullback-Leibler information allow us to characterize a family of distributions denominated Kullback-Leibler-Symmetric, which are distance functions and, under some  estrictions, generate the Jensen’s equality shown by [1], in this paper denominated Jensen-Equal. On the other hand, [5] and [7] showed that graph theory gives conditions to define a new measurable space and, therefore, new distances, in particular, the distance characterized by [2], denominated Geodesic Distance. The interaction of these ideas allow us to define a new distribution, denominated Geodesic Distributionwhich, under graph theory as center and radius of a graph, we can to develop optimization methodologies based in probabilities of attendance. We obtain many applications and the proposal method is very adaptive. To illustrate, we apply this distribution in spatial statistics.

Palavras-chave : Kullback-Leibler information; graph theory; geodesic distance; geodesic distribution.

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