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The Gini coefficient for a mixture of Ln-Normal populations

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  • Young, Alwyn

Abstract

I present a formula which allows for the calculation of the Gini coefficient when the overall population distribution is unknown, but there is some information on the Gini coefficients or moments of population sub-groups. When applied to data on the global and US income distribution, it proves to be extremely accurate, producing estimates with errors that are small fractions of one percent.

Suggested Citation

  • Young, Alwyn, 2011. "The Gini coefficient for a mixture of Ln-Normal populations," LSE Research Online Documents on Economics 54246, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:54246
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    File URL: http://eprints.lse.ac.uk/54246/
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    References listed on IDEAS

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    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. Dirk Kreuger & Fabrizio Perri, 2002. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory," Working Papers 02-15, New York University, Leonard N. Stern School of Business, Department of Economics.
    3. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    4. Xavier Sala-i-Martin, 2006. "The World Distribution of Income: Falling Poverty and … Convergence, Period," The Quarterly Journal of Economics, Oxford University Press, vol. 121(2), pages 351-397.
    5. Modalsli, Jørgen, 2011. "Inequality and growth in the very long run: inferring inequality from data on social groups," Memorandum 11/2011, Oslo University, Department of Economics.
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    Cited by:

    1. Jørgen Modalsli, 2015. "Inequality in the very long run: inferring inequality from data on social groups," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 225-247, June.
    2. repec:eee:eecrev:v:104:y:2018:i:c:p:237-255 is not listed on IDEAS

    More about this item

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • N0 - Economic History - - General

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