Gini's "Transvariazione" and the Measurement of Distance between Distributions

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Gini's "Transvariazione" and the Measurement of Distance between Distributions

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Deutsch, Joseph
Silber, Jacques

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Jacques Silber

Abstract

This paper notes that Ginis concept of "Transvariazione" corresponds to the idea of overlapping of distributions. It shows that this concept is implicit in some measures of income inequality such as the Pietra and Gini Index and is at the basis of various measures of distance between distributions. An empirical illustration is provided, based on Israeli data for the period 1978-94.

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Article provided by Springer in its journal Empirical Economics.

Volume (Year): 22 (1997)
Issue (Month): 4 ()
Pages: 547-54
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Handle: RePEc:spr:empeco:v:22:y:1997:i:4:p:547-54

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Stéphane Mussard & Françoise Seyte & Michel Terraza, 2006. "La décomposition de l’indicateur de Gini en sous-groupes : une revue de la littérature," Cahiers de recherche 06-11, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
Peter J. Lambert & Andre Decoster, 2004. "The Gini Coefficient Reveals More," University of Oregon Economics Department Working Papers 2004-18, University of Oregon Economics Department, revised 05 Dec 2004. [Downloadable!]
Other versions:
- Peter J. Lambert & André Decoster, 2005. "The Gini Coefficient Reveals More," Center for Economic Studies - Discussion papers ces0508, Katholieke Universiteit Leuven, Centrum voor Economische Studiën. [Downloadable!]
- Peter J. Lambert & Andre' Decoster, 2005. "The Gini coefficient reveals more," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 373-400. [Downloadable!]
Paul Makdissi & Stéphane Mussard, 2006. "Decomposition of s - Concentration Curves," Cahiers de recherche 0641, CIRPEE. [Downloadable!]
Other versions:
- Makdissi, Paul & Mussard, Stéphane, 2006. "Decomposition of s-Concentration Curves," IRISS Working Paper Series 2006-09, IRISS at CEPS/INSTEAD. [Downloadable!]
- 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. [Downloadable!]
- Paul Makdissi & Stéphane Mussard, 2008. "Decomposition of s-concentration curves," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1312-1328, November. [Downloadable!] (restricted)
John A. Bishop & K. Victor Chow & Feijun Luo & Lester A. Zeager, . "Changes in Economic Advantage by National Origin After German Unification," Working Papers 0206, East Carolina University, Department of Economics. [Downloadable!]

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