Inequality measures for histograms

Benito V. Frosini
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Benito V. Frosini: Istituto di Statistica - Università Cattolica del Sacro Cuore di Milano

Statistica, 2005, vol. 65, issue 1, 27-40

Abstract: While inequality or concentration measures are defined with reference to the distribution of a non-negative character among n individuals, most practical applications are effected on frequency distributions over k classes, namely on histograms, when thinking of the corresponding graphical representation. Concerning this type of applications, this paper examines: (1) the goodness of approximation – to indices computed on individual data – of the same indices worked out on histograms; (2) the meaning and properties of inequality indices that are functions of the only frequencies and quantities pertaining to the k classes. These two kinds of investigations have been addressed to classical concentration measures proposed by Gini and Pietra-Ricci.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:65:y:2005:i:1:p:27-40

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