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A simple method for measuring inequality

Author

Listed:
  • Thitithep Sitthiyot

    (Chulalongkorn University)

  • Kanyarat Holasut

    (Khon Kaen University)

Abstract

To simultaneously overcome the limitation of the Gini index in that it is less sensitive to inequality at the tails of income distribution and the limitation of the inter-decile ratios that ignore inequality in the middle of income distribution, an inequality index is introduced. It comprises three indicators, namely, the Gini index, the income share held by the top 10%, and the income share held by the bottom 10%. The data from the World Bank database and the Organization for Economic Co-operation and Development Income Distribution Database between 2005 and 2015 are used to demonstrate how the inequality index works. The results show that it can distinguish income inequality among countries that share the same Gini index but have different income gaps between the top 10% and the bottom 10%. It could also distinguish income inequality among countries that have the same ratio of income share held by the top 10% to income share held by the bottom 10% but differ in the values of the Gini index. In addition, the inequality index could capture the dynamics where the Gini index of a country is stable over time but the ratio of income share of the top 10% to income share of the bottom 10% is increasing. Furthermore, the inequality index could be applied to other scientific disciplines as a measure of statistical heterogeneity and for size distributions of any non-negative quantities.

Suggested Citation

  • Thitithep Sitthiyot & Kanyarat Holasut, 2020. "A simple method for measuring inequality," Palgrave Communications, Palgrave Macmillan, vol. 6(1), pages 1-9, December.
  • Handle: RePEc:pal:palcom:v:6:y:2020:i:1:d:10.1057_s41599-020-0484-6
    DOI: 10.1057/s41599-020-0484-6
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    References listed on IDEAS

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    1. Sitthiyot, Thitithep & Budsaratragoon, Pornanong & Holasut, Kanyarat, 2020. "A scaling perspective on the distribution of executive compensation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 543(C).
    2. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2019. "How mean rank and mean size may determine the generalised Lorenz curve: With application to citation analysis," Journal of Informetrics, Elsevier, vol. 13(1), pages 387-396.
    3. Delbosc, Alexa & Currie, Graham, 2011. "Using Lorenz curves to assess public transport equity," Journal of Transport Geography, Elsevier, vol. 19(6), pages 1252-1259.
    4. Eliazar, Iddo I. & Sokolov, Igor M., 2012. "Measuring statistical evenness: A panoramic overview," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1323-1353.
    5. Thomas McGregor & Brock Smith & Samuel Wills, 2019. "Measuring inequality," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 35(3), pages 368-395.
    6. Corrado Gini, 2005. "On the measurement of concentration and variability of characters," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 1-38.
    7. Sazuka, Naoya & Inoue, Jun-ichi, 2007. "Fluctuations in time intervals of financial data from the view point of the Gini index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 49-53.
    8. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    9. Pavkova, Katerina & Currie, Graham & Delbosc, Alexa & Sarvi, Majid, 2016. "Selecting tram links for priority treatments - The Lorenz Curve approach," Journal of Transport Geography, Elsevier, vol. 55(C), pages 101-109.
    10. Chakrabarti,Bikas K. & Chakraborti,Anirban & Chakravarty,Satya R. & Chatterjee,Arnab, 2013. "Econophysics of Income and Wealth Distributions," Cambridge Books, Cambridge University Press, number 9781107013445.
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    Cited by:

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    3. Kashour, Mohammad, 2023. "A step towards a just transition in the EU: Conclusions of a regression-based energy inequality decomposition," Energy Policy, Elsevier, vol. 183(C).
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    6. John C. Stevenson, 2021. "Dynamics of Wealth Inequality in Simple Artificial Societies," Papers 2108.11892, arXiv.org, revised Oct 2021.
    7. Michael Crilly & Georgiana Varna & Chandra Mouli Vemury & Mark Lemon & Andrew Mitchell, 2023. "Building Equality: A “Litmus Test” for Recognising and Evidencing Inequalities and Segregation in the Built Environment," Urban Planning, Cogitatio Press, vol. 8(1), pages 372-387.
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