In this paper, we suggest an alternative way to calculate the concentration index by means of a new matrix form approach, which can be applied to both the Gini and the concentration index. For both indices, the proposed matrix 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, thereby enabling to decompose this reranking measure by groups.

A Gini and concentration index decomposition with an application to the APK reranking measure / A. Vernizzi, M.G. Monti, M. Mussini - In: Proceedings of the international scientific conference : AMSE 2010 / [a cura di] R. Zimka. - Banská Bystrica : Občianske združenie Financ, 2010. - ISBN 978-80-89438-02-0. - pp. 397-407 (( Intervento presentato al 13. convegno AMSE 2010 : applications of mathematics and statistics in economy tenutosi a Demänovská Dolina nel 2010.

A Gini and concentration index decomposition with an application to the APK reranking measure

A. Vernizzi
Primo
;
M.G. Monti
Secondo
;
2010

Abstract

In this paper, we suggest an alternative way to calculate the concentration index by means of a new matrix form approach, which can be applied to both the Gini and the concentration index. For both indices, the proposed matrix 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, thereby enabling to decompose this reranking measure by groups.
Inequality measure decomposition ; reranking ; reranking decomposition
Settore SECS-S/01 - Statistica
Settore SECS-S/03 - Statistica Economica
Settore SECS-P/03 - Scienza delle Finanze
University of Economics, Faculty of Informatics and Statistics, Prague, Czech Republic
Matej Bel University, Faculty of Economics, Banská Bystrica, Slovakia
Wroclaw University of Economics, Faculty of Management and computer sciences, Wroclaw, Poland
Book Part (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/151835
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