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...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Costa Rica |
| Recursos: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/15185 |
| Acesso em linha: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/15185 |
| Access Level: | acceso abierto |
| Palavra-chave: | Kullback-Leibler information graph theory geodesic distance geodesic distribution información Kullback-Leibler teoría de grafos distancia geodésica distribución geodésica |
| Resumo: | 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. |
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