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A simple way to calculate the Gini Coefficient for grouped as well as ungrouped data

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  • Esmaiel Abounoori
  • Patrick McCloughan

Abstract

Numerous methods have been proposed for calculating the Gini coefficient, the most widely used statistical measure of income inequality. The Milanovic (Bulletin of Economic Research, 46, 81-90, 1994) measure is simple, accurate and has attractive decomposition properties. However its use is confined to ungrouped data. This paper derives and applies the analogue of the Milanovic 94 measure for the case of grouped data. Both the grouped and ungrouped formulae offer a useful toolkit for inequality measurement.

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  • Esmaiel Abounoori & Patrick McCloughan, 2003. "A simple way to calculate the Gini Coefficient for grouped as well as ungrouped data," Applied Economics Letters, Taylor & Francis Journals, vol. 10(8), pages 505-509.
  • Handle: RePEc:taf:apeclt:v:10:y:2003:i:8:p:505-509
    DOI: 10.1080/1350485032000100279
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    References listed on IDEAS

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    1. Esmaiel Abounoori & Patrick McCloughan, 2000. "Measuring The Gini Coefficient: An Empirical Assessment Of Non-Parametric And Parametric Methods," Working Papers 2000_06, University of Liverpool, Department of Economics.
    2. Milanovic, Branko, 1997. "A simple way to calculate the Gini coefficient, and some implications," Economics Letters, Elsevier, vol. 56(1), pages 45-49, September.
    3. Graham Pyatt & Chau-nan Chen & John Fei, 1980. "The Distribution of Income by Factor Components," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 451-473.
    4. Guano Hua Wan, 1999. "An empirical assessment on alternative functional forms of the Lorenz curve," Applied Economics Letters, Taylor & Francis Journals, vol. 6(9), pages 597-599.
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    2. Piet, Laurent, 2016. "Recent trends in the distribution of farm sizes in the EU," 149th Seminar, October 27-28, 2016, Rennes, France 245075, European Association of Agricultural Economists.
    3. Loughrey, Jason James & Donnellan, Trevor, 2017. "Inequality and Concentration in Farmland Size: A Regional Analysis for Western Europe," 2017 International Congress, August 28-September 1, 2017, Parma, Italy 261112, European Association of Agricultural Economists.
    4. Shao-Hsun Keng & Peter F. Orazem, 2019. "Performance pay, the marriage market and rising income inequality in Taiwan," Review of Economics of the Household, Springer, vol. 17(3), pages 969-992, September.
    5. Hao, Han & Wang, Hewu & Yi, Ran, 2011. "Hybrid modeling of China’s vehicle ownership and projection through 2050," Energy, Elsevier, vol. 36(2), pages 1351-1361.
    6. Ville, Simon & Valadkhani, Abbas & O'Brien, Martin, 2005. "The Distribution of Research Performance Across Australian Universities, 1992-2003, and Its Implications for Higher Education Funding Models," Economics Working Papers wp05-26, School of Economics, University of Wollongong, NSW, Australia.
    7. Matthijs J. Warrens, 2018. "On the Negative Bias of the Gini Coefficient due to Grouping," Journal of Classification, Springer;The Classification Society, vol. 35(3), pages 580-586, October.
    8. Ceren Baysan & Marshall Burke & Felipe González & Solomon Hsiang & Edward Miguel, 2018. "Economic and Non-Economic Factors in Violence: Evidence from Organized Crime, Suicides and Climate in Mexico," NBER Working Papers 24897, National Bureau of Economic Research, Inc.
    9. Loughrey, Jason & Donnellan, Trevor & Lennon, John, 2016. "The Inequality of Farmland Size in Western Europe," 90th Annual Conference, April 4-6, 2016, Warwick University, Coventry, UK 236341, Agricultural Economics Society.
    10. Tatjana Miljkovic & Ying-Ju Chen, 2021. "A new computational approach for estimation of the Gini index based on grouped data," Computational Statistics, Springer, vol. 36(3), pages 2289-2311, September.
    11. Rubolino, Enrico, 2023. "Does weak enforcement deter tax progressivity?," Journal of Public Economics, Elsevier, vol. 219(C).
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    14. Piet, Laurent, 2017. "Concentration of the agricultural production in the EU: the two sides of a coin," 2017 International Congress, August 28-September 1, 2017, Parma, Italy 261439, European Association of Agricultural Economists.
    15. Enrico Rubolino, 2022. "Does Informality Deter Tax Progressivity?," Cahiers de Recherches Economiques du Département d'économie 22.07, Université de Lausanne, Faculté des HEC, Département d’économie.
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