GEODESIC DISTRIBUTION IN GRAPH THEORY: KULLBACK-LEIBLER-SYMMETRIC

Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullback-Leibler-Symmetric, which are distance functions and, under some restrictions, generate the Jensen’s equality shown by [1], in this paper denominated Jensen-Equal. On the other hand, [5] and [7] sho...

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Autores Principales: González, José Alejandro, Cascone, Marcos Henrique
Formato: Artículo
Idioma: Inglés
Publicado: 2015
Materias:
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/15185
http://hdl.handle.net/10669/13056
Sumario: Kullback-Leibler information allow us to characterize a family of dis- tributions denominated Kullback-Leibler-Symmetric, which are distance functions and, under some restrictions, 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 mea- surable 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 Distri- bution which, 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.