On Dagum’s Decomposition of the Gini Coefficient

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On Dagum’s Decomposition of the Gini Coefficient

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William Griffiths

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William Edward Griffiths

Abstract

To measure the contributions to inequality from population subgroups, the Gini coefficient is often decomposed into inequality within groups, inequality between groups and a residual term arising from the overlapping of income distributions from different groups. In this paper we show that two decompositions presented separately in the literature, a traditional decomposition and a decomposition suggested by Dagum (1997), are identical, a fact not previously acknowledged in the literature

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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 1054.

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Length: 9 pages
Date of creation: 2008
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Handle: RePEc:mlb:wpaper:1054

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

This paper has been announced in the following NEP Reports:

NEP-ALL-2008-12-01 (All new papers)

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Sastry, D V S & Kelkar, Ujwala R, 1994. "Note on the Decomposition of Gini Inequality," The Review of Economics and Statistics, MIT Press, vol. 76(3), pages 584-86, August. [Downloadable!] (restricted)
van de Ven, Justin & Creedy, John & Lambert, Peter J, 2001. " Close Equals and Calculation of the Vertical, Horizontal and Reranking Effects of Taxation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(3), pages 381-94, July. [Downloadable!] (restricted)
Other versions:
- Creedy, J. & Lambert, P.J. & van de Ven, J., 2001. "Close Equals and Calculation of the Vertical, Horizontal and Reranking Effects of Taxation," Department of Economics - Working Papers Series 781, The University of Melbourne. [Downloadable!]
Branko milanovic, 2003. "True world income distribution, 1988 and 1993: First calculation based on household surveys alo," HEW 0305002, EconWPA. [Downloadable!]
Other versions:
- Branko Milanovic, 2002. "True World Income Distribution, 1988 and 1993: First Calculation Based on Household Surveys Alone," Economic Journal, Royal Economic Society, vol. 112(476), pages 51-92, January. [Downloadable!] (restricted)
Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-31.
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)

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