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

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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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    References listed on IDEAS

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    1. Lefteris Tsoulfidis, 2002. "Values, prices of production and market prices: some more evidence from the Greek economy," Cambridge Journal of Economics, Oxford University Press, vol. 26(3), pages 359-369, May.
    2. W. Paul Cockshott & Allin Cottrell, 2005. "Robust correlations between prices and labour values: a comment," Cambridge Journal of Economics, Oxford University Press, vol. 29(2), pages 309-316, March.
    3. Steedman, Ian & Tomkins, Judith, 1998. "On Measuring the Deviation of Prices from Values," Cambridge Journal of Economics, Oxford University Press, vol. 22(3), pages 379-385, May.
    4. Cockshott, W Paul & Cottrell, Allin F, 1997. "Labour Time versus Alternative Value Bases: A Research Note," Cambridge Journal of Economics, Oxford University Press, vol. 21(4), pages 545-549, July.
    5. Emilio Díaz & Rubén Osuna, 2007. "Indeterminacy in price–value correlation measures," Empirical Economics, Springer, vol. 33(3), pages 389-399, November.
    6. W. Paul Cockshott & Allin Cottrell, 2003. "A note on the organic composition of capital and profit rates," Cambridge Journal of Economics, Oxford University Press, vol. 27(5), pages 749-754, September.
    7. Andrew J. Kliman, 2005. "Reply to Cockshott and Cottrell," Cambridge Journal of Economics, Oxford University Press, vol. 29(2), pages 317-323, March.
    8. Parys, Wilfried, 1982. "The Deviation of Prices from Labor Values," American Economic Review, American Economic Association, vol. 72(5), pages 1208-1212, December.
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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. 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.
    3. 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, Kiel Institute for the World Economy (IfW), vol. 6, pages 1-32.
    4. Paul Makdissi & Stéphane Mussard, 2008. "Decomposition of s-concentration curves," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1312-1328, November.
    5. 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.
    6. 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).
    7. Michele Costa, 2016. "Overlapping component and inequality decomposition: a simulation study for the Gini index," METRON, Springer;Sapienza Università di Roma, pages 193-205.
    8. Benito Frosini, 2012. "Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures," Empirical Economics, Springer, pages 175-197.
    9. repec:spr:metron:v:75:y:2017:i:2:d:10.1007_s40300-017-0115-1 is not listed on IDEAS
    10. 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 l'École de gestion à l'Université de Sherbrooke.

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