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La décomposition de l’indicateur de Gini en sous-groupes : une revue de la littérature

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  • Stéphane Mussard

    ()
    (GREDI, Université de Sherbrooke and GEREM, Université de Perpignan)

  • Françoise Seyte

    ()
    (CREA, University of Luxembourg, Faculty of Law Economics and Finance)

  • Michel Terraza

    ()
    (LAMETA, Université de Montpellier I)

Abstract

Gini and entropy are the most use measures to gauge income inequalities. We show that each measure yields different subgroup decomposition techniques into within-group inequalities and between-group inequalities. Then, we show that the Gini index has been decomposed into many ways to bring out a third measure of income inequalities.scales.

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File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-0611.pdf
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Bibliographic Info

Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 06-11.

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Length: 54 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:shr:wpaper:06-11

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Keywords: Decomposition; Entropy; Gini;

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References

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  1. Chakravarty, Satya Ranjan & Dutta, Bhaskar, 1987. "A note on measures of distance between imcome distributions," Journal of Economic Theory, Elsevier, vol. 41(1), pages 185-188, February.
  2. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
  3. Stéphane Mussard & Michel Terraza & Françoise Seyte, 2003. "Decomposition of Gini and the generalized entropy inequality measures," Economics Bulletin, AccessEcon, vol. 4(7), pages 1-6.
  4. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 521-31, April.
  5. repec:ebl:ecbull:v:4:y:2003:i:7:p:1-6 is not listed on IDEAS
  6. Cowell, F.A., 2000. "Measurement of inequality," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 2, pages 87-166 Elsevier.
  7. Adelman, Irma & Levy, Amnon, 1986. "Decomposing Theil's Index of Income Inequality: A Reply," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 32(1), pages 107-08, March.
  8. Milanovic, Branko & Yitzhaki, Shlomo, 2002. "Decomposing World Income Distribution: Does the World Have a Middle Class?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(2), pages 155-78, June.
  9. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
  10. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-55, June.
  11. Arthur Charpentier & Stéphane Mussard, 2011. "Income inequality games," Journal of Economic Inequality, Springer, vol. 9(4), pages 529-554, December.
  12. Wagstaff, Adam, 2002. "Inequality aversion, health inequalities and health achievement," Journal of Health Economics, Elsevier, vol. 21(4), pages 627-641, July.
  13. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
  14. Lerman, Robert I. & Yitzhaki, Shlomo, 1984. "A note on the calculation and interpretation of the Gini index," Economics Letters, Elsevier, vol. 15(3-4), pages 363-368.
  15. Das, T & Parikh, A, 1982. "Decomposition of Inequality Measures and a Comparative Analysis," Empirical Economics, Springer, vol. 7(1-2), pages 23-48.
  16. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  17. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  18. Deutsch, Joseph & Silber, Jacques, 1997. "Gini's "Transvariazione" and the Measurement of Distance between Distributions," Empirical Economics, Springer, vol. 22(4), pages 547-54.
  19. Adelman, Irma & Levy, Amnon, 1984. "Decomposing Theil's Income of Income Inequality into Between and Within Components: A Note," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 30(1), pages 119-21, March.
  20. Mangahas M, 1975. "Income inequality in the Philippines; a decomposition analysis," ILO Working Papers 158323, International Labour Organization.
  21. Yitzhaki, Shlomo, 1994. "Economic distance and overlapping of distributions," Journal of Econometrics, Elsevier, vol. 61(1), pages 147-159, March.
  22. Mookherjee, Dilip & Shorrocks, Anthony F, 1982. "A Decomposition Analysis of the Trend in UK Income Inequality," Economic Journal, Royal Economic Society, vol. 92(368), pages 886-902, December.
  23. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  24. Pyatt, Graham & Chen, Chau-nan & Fei, John, 1980. "The Distribution of Income by Factor Components," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 451-73, November.
  25. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January.
  26. Foster, James E., 1983. "An axiomatic characterization of the Theil measure of income inequality," Journal of Economic Theory, Elsevier, vol. 31(1), pages 105-121, October.
  27. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November.
  28. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  29. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November.
  30. Dagum, Camilo, 1987. "Measuring the Economic Affluence between Populations of Income Receivers," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 5-12, January.
  31. Cowell, Frank A. & Kuga, Kiyoshi, 1981. "Additivity and the entropy concept: An axiomatic approach to inequality measurement," Journal of Economic Theory, Elsevier, vol. 25(1), pages 131-143, August.
  32. Cowell, Frank A, 1988. "Inequality Decomposition: Three Bad Measures," Bulletin of Economic Research, Wiley Blackwell, vol. 40(4), pages 309-12, October.
  33. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-15, February.
  34. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-29, September.
  35. Rafael Salas, 2002. "Multilevel interterritorial convergence and additive multidimensional inequality decomposition," Social Choice and Welfare, Springer, vol. 19(1), pages 207-218.
  36. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April.
  37. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April.
  38. de MESNARD, Louis, 1997. "A propos des problèmes causés par les indices de mesure d’inégalité de Gini et de Kakwani," LATEC - Document de travail - Economie (1991-2003) 1997-13, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
  39. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-70, September.
  40. Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-47, August.
  41. repec:rus:hseeco:15683 is not listed on IDEAS
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