On generalized information and divergence measures and their applications: a brief review

The aim of this review is to give different two-parametric generalizations of the following measures: directed divergence (Kullback and Leibler, 1951), Jensen difference divergence (Burbea and Rao 1982 a,b; Rao, 1982) and Jeffreys invariant divergence (Jeffreys, 1946). These generalizations are put...

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Detalles Bibliográficos
Autores: Taneja, I. J., Pardo, Leandro, Morales González, Domingo, Menéndez, María Luisa
Tipo de recurso: artículo
Fecha de publicación:1989
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3978
Acceso en línea:https://hdl.handle.net/2099/3978
Access Level:acceso abierto
Palabra clave:Statistics
Information and Communication Applications, Inc.
Estadística
Comunicació
Informació
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Classificació AMS::62 Statistics::62B Sufficiency and information
Descripción
Sumario:The aim of this review is to give different two-parametric generalizations of the following measures: directed divergence (Kullback and Leibler, 1951), Jensen difference divergence (Burbea and Rao 1982 a,b; Rao, 1982) and Jeffreys invariant divergence (Jeffreys, 1946). These generalizations are put in the unified expression and their properties are studied. The applications of generalized information and divergence measures to comparison of experiments and the connections with Fisher information measure are also given.