GEODESIC DISTRIBUTION IN GRAPH THEORY: KULLBACK - LEIBLER - SYMMETRIC
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| Format: | Artículo científico |
| Langue: | en |
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Universidad de Costa Rica
2014
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| _version_ | 1876462418094194688 |
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| author | José Alejandro González |
| author_facet | José Alejandro González |
| contents | GEODESIC DISTRIBUTION IN GRAPH THEORY: KULLBACK - LEIBLER - SYMMETRIC José Alejandro González Marcos Henrique Cascone Física, Astronomía y Matemáticas Kullback graph theory geodesicdis tance Leiblerinformation geodesic distribution Kullback-Leibler information allow us to characterize a fa mily of dis- tributions denominated Kullback-Leibler-Symmetric, whi ch are distance functions and, under some restrictions, generate the Jense n’s equality shown by [1], in this paper denominated Jensen-Equal. On the other hand, [5] and [7] showed that graph theory gives conditionsto defin e a new mea- surablespace and, therefore, new distances, inparticular , the distance char- acterized by [2], denominated Geodesic Distance. The inter action of these ideas allow us to define a new distribution, denominated Geod esic Distri- butionwhich, under graph theory as center and radius of a gra ph, we can to develop optimization methodologies based in probabilitie s of attendance. We obtain many applications and the proposal method is very a daptive. To illustrate, we apply this distributionin spatial statistics. 2014 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45331282005 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.2 Vol.21 |
| format | Artículo científico |
| id | redalyc_45331282005 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad de Costa Rica |
| spellingShingle | GEODESIC DISTRIBUTION IN GRAPH THEORY: KULLBACK - LEIBLER - SYMMETRIC José Alejandro González Física, Astronomía y Matemáticas Kullback graph theory geodesicdis tance Leiblerinformation geodesic distribution GEODESIC DISTRIBUTION IN GRAPH THEORY: KULLBACK - LEIBLER - SYMMETRIC José Alejandro González Marcos Henrique Cascone Física, Astronomía y Matemáticas Kullback graph theory geodesicdis tance Leiblerinformation geodesic distribution Kullback-Leibler information allow us to characterize a fa mily of dis- tributions denominated Kullback-Leibler-Symmetric, whi ch are distance functions and, under some restrictions, generate the Jense n’s equality shown by [1], in this paper denominated Jensen-Equal. On the other hand, [5] and [7] showed that graph theory gives conditionsto defin e a new mea- surablespace and, therefore, new distances, inparticular , the distance char- acterized by [2], denominated Geodesic Distance. The inter action of these ideas allow us to define a new distribution, denominated Geod esic Distri- butionwhich, under graph theory as center and radius of a gra ph, we can to develop optimization methodologies based in probabilitie s of attendance. We obtain many applications and the proposal method is very a daptive. To illustrate, we apply this distributionin spatial statistics. 2014 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45331282005 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.2 Vol.21 |
| title | GEODESIC DISTRIBUTION IN GRAPH THEORY: KULLBACK - LEIBLER - SYMMETRIC |
| topic | Física, Astronomía y Matemáticas Kullback graph theory geodesicdis tance Leiblerinformation geodesic distribution |
| url | https://www.redalyc.org/articulo.oa?id=45331282005 |