On dispersion measures

In this paper a new framework for the study of measures of dispersion for a class of $n$-dimensional lists is proposed. The concept of monotonicity with respect to a "sharpened"-type order is introduced. This type of monotonicity, together with other well known conditions, allows to create...

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Detalles Bibliográficos
Autores: Martín Pelayo, Javier, Mayor Forteza, Gaspar, Suñer Llabrés, Jaume
Tipo de recurso: artículo
Fecha de publicación:2001
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:2099/3607
Acceso en línea:https://hdl.handle.net/2099/3607
Access Level:acceso abierto
Palabra clave:Entropy
Uncertainty measures
"Sharpened" order
Schur concavity
Quasi-concavity
Comunicació
Entropia (Teoria de la informació)
Classificació AMS::94 Information And Communication, Circuits::94A Communication, information
Descripción
Sumario:In this paper a new framework for the study of measures of dispersion for a class of $n$-dimensional lists is proposed. The concept of monotonicity with respect to a "sharpened"-type order is introduced. This type of monotonicity, together with other well known conditions, allows to create a reasonable and general ambit where the notion of dispersion measure can be studied. Some properties are analized and relations with other approaches carried out by different authors on this subject are established.