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The bidimensional decomposition of inequality: A nested Theil approach

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  • Michele Giammatteo

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Abstract

In this paper we propose a nested inequality decomposition by income sources and population subgroups derived by the Theil index. We firstly motivate our preference for its associated decomposition by income sources with respect to the axiom-based proposal of Shorrocks (1982) and the Gini-based decomposition of Lerman and Yitzhaki (1985). Then we enhance the set of desirable proprieties able to sustain that choice with the additional requirement of subgroup decomposability. The nested decomposition of the Theil index allows the overall level of inequality to be function of only three types of factors: source-group income and population shares; source-group inequality. Finally, using LIS micro data on incomes, we apply it to the case of geographical disaggregation of inequality in Italy between 1989 and 2000.

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  • Michele Giammatteo, 2007. "The bidimensional decomposition of inequality: A nested Theil approach," LIS Working papers 466, LIS Cross-National Data Center in Luxembourg.
  • Handle: RePEc:lis:liswps:466
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    1. Paul, Satya, 2004. "Income sources effects on inequality," Journal of Development Economics, Elsevier, vol. 73(1), pages 435-451, February.
    2. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    3. Frank A. Cowell, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Oxford University Press, vol. 47(3), pages 521-531.
    4. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-1227, September.
    5. 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 313-329, September.
    6. Jonathan Morduch & Terry Sicular, 2002. "Rethinking Inequality Decomposition, With Evidence from Rural China," Economic Journal, Royal Economic Society, vol. 112(476), pages 93-106, January.
    7. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    8. Joseph Deutsch & Jacques Silber, 2004. "Measuring the Impact of Various Income Sources on the Link between Inequality and Development: Implications for the Kuznets Curve," Review of Development Economics, Wiley Blackwell, vol. 8(1), pages 110-127, February.
    9. Podder, Nripesh & Mukhopadhaya, Pundarik, 2001. "The Changing Pattern of," The Economic Record, The Economic Society of Australia, vol. 77(238), pages 242-251, September.
    10. Podder, Nripesh, 1993. "The Disaggregation of the Gini Coefficient by Factor Components and Its Applications to Australia," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(1), pages 51-61, March.
    11. Wan, Guang Hua, 2001. "Changes in regional inequality in rural China: decomposing the Gini index by income sources," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 45(3), September.
    12. Takahiro Akita, 2003. "Decomposing regional income inequality in China and Indonesia using two-stage nested Theil decomposition method," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 37(1), pages 55-77, February.
    13. 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.
    14. Graham Pyatt & Chau-nan Chen & John Fei, 1980. "The Distribution of Income by Factor Components," The Quarterly Journal of Economics, Oxford University Press, vol. 95(3), pages 451-473.
    15. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
    16. Anthony F. Shorrocks, 1983. "The Impact of Income Components on the Distribution of Family Incomes," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 311-326.
    17. Wodon, Quentin T, 1999. "Between Group Inequality and Targeted Transfers," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 45(1), pages 21-39, March.
    18. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    19. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    20. John C. H. Fei & Gustav Ranis & Shirley W. Y. Kuo, 1978. "Growth and the Family Distribution of Income by Factor Components," The Quarterly Journal of Economics, Oxford University Press, vol. 92(1), pages 17-53.
    21. Robert I. Lerman & Shlomo Yitzhaki, 1994. "Effect of Marginal Changes in Income Sources On U.S. Income Inequality," Public Finance Review, , vol. 22(4), pages 403-417, October.
    22. Stephane Mussard, 2004. "The bidimensional decomposition of the Gini ratio. A case study: Italy," Applied Economics Letters, Taylor & Francis Journals, vol. 11(8), pages 503-505.
    23. Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-547, August.
    24. repec:ebl:ecbull:v:4:y:2003:i:7:p:1-6 is not listed on IDEAS
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    Cited by:

    1. Cecilia García-Peñalosa & Elsa Orgiazzi, 2013. "Factor Components of Inequality: A Cross-Country Study," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(4), pages 689-727, December.
    2. Cecilia García-Peñalosa & Richard Breen & Elsa Orgiazzi, 2008. "Factor Components of Inequality: Cross-Country Differences and Time Changes," LIS Working papers 503, LIS Cross-National Data Center in Luxembourg.

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