This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

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

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
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)

Additional information is available for the following registered author(s):

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.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://pages.usherbrooke.ca/gredi/wpapers/GREDI-0611.pdf
File Format: application/pdf
File Function: First version, 2006
Download Restriction: no

Publisher 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.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 54 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:shr:wpaper:06-11

Contact details of provider:
Postal: Sherbrooke, Qu�bec, J1K 2R1
Phone: (819) 821-7233
Fax: (819) 821-6930
Email:
Web page: https://qp.admnt.usherbrooke.ca/QuickPlace/gredi/Main.nsf/h_Toc/536568F95B90740A85257295005ABBC9/?OpenDocument
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Luc Savard).

Related research
Keywords: Decomposition; Entropy; Gini;

Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April. [Downloadable!] (restricted)
  4. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June. [Downloadable!] (restricted)
  7. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July. [Downloadable!] (restricted)
  8. Blackorby, C. & Bossert, W. & Donaldson, D., 1995. "Income Inequality Measurement: The Normative Approach," UBC Departmental Archives 95-23, UBC Department of Economics.
    Other versions:
  9. Cowell, Frank A., 1980. "Generalized entropy and the measurement of distributional change," European Economic Review, Elsevier, vol. 13(1), pages 147-159, January. [Downloadable!] (restricted)
  10. Rafael Salas, 2002. "Multilevel interterritorial convergence and additive multidimensional inequality decomposition," Social Choice and Welfare, Springer, vol. 19(1), pages 207-218. [Downloadable!] (restricted)
  11. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-70, September. [Downloadable!] (restricted)
  12. Das, T & Parikh, A, 1982. "Decomposition of Inequality Measures and a Comparative Analysis," Empirical Economics, Springer, vol. 7(1-2), pages 23-48.
  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. Bossert, Walter & Pfingsten, Andreas, 1990. "Intermediate inequality: concepts, indices, and welfare implications," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 117-134, April. [Downloadable!] (restricted)
  15. 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. [Downloadable!] (restricted)
  16. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November. [Downloadable!] (restricted)
  17. Deutsch, Joseph & Silber, Jacques, 1997. "Gini's "Transvariazione" and the Measurement of Distance between Distributions," Empirical Economics, Springer, vol. 22(4), pages 547-54.
  18. Adelman, Irma & Levy, Amnon, 1984. "Decomposing Theil's Income of Income Inequality into Between and Within Components: A Note," Review of Income and Wealth, Blackwell Publishing, vol. 30(1), pages 119-21, March.
  19. Mussard Stéphane & Terraza Michel & Seyte Françoise, 2003. "Decomposition of Gini and the generalized entropy inequality measures," Economics Bulletin, Economics Bulletin, vol. 4(3), pages 1-5. [Downloadable!]
  20. 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. [Downloadable!] (restricted)
  21. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August. [Downloadable!] (restricted)
  22. 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.
  23. Milanovic, Branko & Yitzhaki, Shlomo, 2002. "Decomposing World Income Distribution: Does the World Have a Middle Class?," Review of Income and Wealth, Blackwell Publishing, vol. 48(2), pages 155-78, June. [Downloadable!] (restricted)
    Other versions:
  24. Wagstaff, Adam, 2002. "Inequality aversion, health inequalities, and health achievement," Policy Research Working Paper Series 2765, The World Bank. [Downloadable!]
    Other versions:
  25. 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. [Downloadable!] (restricted)
  26. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, Blackwell Publishing, vol. 37(3), pages 313-29, September.
  27. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 47(3), pages 521-31, April. [Downloadable!] (restricted)
  28. 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. [Downloadable!] (restricted)
  29. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-55, June. [Downloadable!] (restricted)
  30. Yitzhaki, Shlomo, 1994. "Economic distance and overlapping of distributions," Journal of Econometrics, Elsevier, vol. 61(1), pages 147-159, March. [Downloadable!] (restricted)
  31. Adelman, Irma & Levy, Amnon, 1986. "Decomposing Theil's Index of Income Inequality: A Reply," Review of Income and Wealth, Blackwell Publishing, vol. 32(1), pages 107-08, March.
  32. 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.
  33. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April. [Downloadable!] (restricted)
  34. 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. [Downloadable!] (restricted)
  35. Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-47, August. [Downloadable!] (restricted)
  36. 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. [Downloadable!] (restricted)
  37. Cowell, Frank A, 1988. "Inequality Decomposition: Three Bad Measures," Bulletin of Economic Research, Blackwell Publishing, vol. 40(4), pages 309-12, October.
  38. Stéphane Mussard & Françoise Seyte & Michel Terraza, 2003. "Decomposition of Gini and the generalized entropy inequality measures," Economics Bulletin, Economics Bulletin, vol. 4(7), pages 1-6. [Downloadable!]
  39. Dagum, Camilo, 1980. "Inequality Measures between Income Distributions with Applications," Econometrica, Econometric Society, vol. 48(7), pages 1791-1803, November. [Downloadable!] (restricted)
  40. repec:rus:hseeco:15683 is not listed on IDEAS
Full references

Statistics
Access and download statistics

Did you know? IDEAS indexes over 800000 items of research in Economics alone.

This page was last updated on 2009-11-20.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.