In this paper, we suggest an alternative way to calculate the concentration index and a new matrix form approach, which can be applied both to the Gini and to the concentration index. For both indices, this approach yields expressions that are decomposable by groups and easily comparable. Our findings are illustrated by applying them to the Atkinson Plotnick Kakwani (APK) reranking measure
A Gini and concentration index decomposition with an application to the APK reranking measure / A. Vernizzi, M.G. Monti, M. Mussini. ((Intervento presentato al 45. convegno SIS 2010 : riunione scientifica della Società italiana di Statistica tenutosi a Padova nel 2010.
A Gini and concentration index decomposition with an application to the APK reranking measure
A. VernizziPrimo
;M.G. MontiSecondo
;
2010
Abstract
In this paper, we suggest an alternative way to calculate the concentration index and a new matrix form approach, which can be applied both to the Gini and to the concentration index. For both indices, this approach yields expressions that are decomposable by groups and easily comparable. Our findings are illustrated by applying them to the Atkinson Plotnick Kakwani (APK) reranking measure
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