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

Author

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  • Deutsch, Joseph
  • Silber, Jacques

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.

Suggested Citation

  • Deutsch, Joseph & Silber, Jacques, 1997. "Gini's "Transvariazione" and the Measurement of Distance between Distributions," Empirical Economics, Springer, vol. 22(4), pages 547-554.
    • Handle: RePEc:spr:empeco:v:22:y:1997:i:4:p:547-54
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    Cited by:

    1. Allanson, Paul, 2014. "Income stratification and the measurement of interdistributional inequality between multiple groups," SIRE Discussion Papers 2015-34, Scottish Institute for Research in Economics (SIRE).
    2. Allanson, Paul, 2014. "Income stratification and the measurement of interdistributional inequality between multiple groups," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-34, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Paul Makdissi & Stéphane Mussard, 2008. "Decomposition of s-concentration curves," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1312-1328, November.
    4. Monojit Chatterji & Sushil Mohan & Sayantan Ghosh Dastidar, 2015. "Determinants of public education expenditure: evidence from Indian states," International Journal of Education Economics and Development, Inderscience Enterprises Ltd, vol. 6(1), pages 1-19.
    5. Michele Costa, 2016. "Overlapping component and inequality decomposition: a simulation study for the Gini index," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 193-205, August.
    6. Benito Frosini, 2012. "Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures," Empirical Economics, Springer, vol. 43(1), pages 175-197, August.
    7. Yalonetzky, Gaston, 2012. "Measuring group disadvantage with inter-distributional inequality indices: A critical review and some amendments to existing indices," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-32.
    8. Maria Grazia Pittau & Roberto Zelli, 2017. "At the roots of Gini’s transvariation: extracts from “Il concetto di transvariazione e le sue prime applicazioni”," METRON, Springer;Sapienza Università di Roma, vol. 75(2), pages 127-140, August.
    9. 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'économique de l'École de gestion à l'Université de Sherbrooke.
    10. John A. Bishop & K. Victor Chow & Feijun Luo & Lester A. Zeager, "undated". "Changes in Economic Advantage by National Origin After German Unification," Working Papers 0206, East Carolina University, Department of Economics.

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