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 key point 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.
Radaelli, P. (2008). A Subgroups Decomposition of Zenga's Uniformity and Inequality Indexes. STATISTICA & APPLICAZIONI, VI(2), 117-136.
A Subgroups Decomposition of Zenga's Uniformity and Inequality Indexes
RADAELLI, PAOLO
2008
Abstract
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 key point 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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