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Dispersion, Asymmetry and the Gini Index of Inequality

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  • Berrebi, Z M
  • Silber, Jacques G

Abstract

The paper shows that the value of the Gini Index of Inequality (Concentration) depends on the skewness of the income distribution. It i s first proved that the Gini Index belongs to the family of relative mean deviat ions. Then a new asymmetry index is defined which allows one to show that the Gini Index of symmetric distributions is always smaller or equal to one-half, whereas a necessary condition for the Gini Index to be greater than one-half is that the distribution be skewed to the right. Copyright 1987 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Bibliographic Info

Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 28 (1987)
Issue (Month): 2 (June)
Pages: 331-38

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Handle: RePEc:ier:iecrev:v:28:y:1987:i:2:p:331-38

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Cited by:
  1. Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s-Concentration Curves," Cahiers de recherche 06-21, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  2. Stéphane Mussard, 2005. "On Decomposition of the Gini Index of Equality," Cahiers de recherche 05-09, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  3. Jacques Silber & Michal Weber, 2005. "Gini's mean difference and the measurement of absolute mobility," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 471-492.

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