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A Subgroups Decomposition of Zenga’s Uniformity and Inequality indexes

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A Subgroups Decomposition of Zenga’s Uniformity and Inequality indexes
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2008 - 2
title A Subgroups Decomposition of Zenga’s Uniformity and Inequality indexes
author
publisher Vita e Pensiero
format Article | Pdf
online since 02-2008
issn 18246672 (print)
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We propose a subgroups decomposition of the uniformity index recently introduced by Zenga [2007]. The decomposition scheme adopted follows the structure of the index which is based on the ratios between lower and upper arithmetic means. The keypoint is the evaluation of the point uniformity index both within the same subgroup and between two different subgroups. The decomposition obtained for the uniformity index is finally applied to achieve an analogous decomposition of the inequality index.