On dispersion measures

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 Spain English Publisher:Universitat Politècnica de Catalunya. Secció de Matemàtiques i InformàticaJournal:Mathware & soft computing

Authors: Martín Pelayo, Javier; Mayor Forteza, Gaspar; Suñer Llabrés, Jaume;

handle: 2099/3607

On dispersion measures

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Abstract

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.

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Spain

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Keywords

quasi-concavity, Measures of information, entropy, measures of dispersion, dispersion measure, Entropia (Teoria de la informació), Entropy, :94 Information And Communication, Circuits::94A Communication, information [Classificació AMS], Comunicació, Classificació AMS::94 Information And Communication, sharpened order, Schur concavity, monotonicity, information, Classificació AMS::94 Information And Communication, Circuits::94A Communication, information, uncertainty measures, "Sharpened" order, Quasi-concavity, Uncertainty measures, Circuits::94A Communication, entropy

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