A Subgroups Decomposition of Zenga’s Uniformity and Inequality indexes
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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.
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