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On the Link Between the Concepts of Kurtosis and Bipolarization


  • Jacques SILBER

    () (Bar-Ilan University)

  • Meital Hanoka

    () (Bar-Ilan University (Ph.D. student))

  • Joseph Deutsch

    () (Bar-Ilan University)


In a paper on the measurement of the flatness of an income distribution Berrebi and Silber (1989) showed how it was possible to derive from the Gini index a measure of the degree of Kurtosis of a distribution whose definition made it quite similar to the more famous Pearson measure of Kurtosis. This note shows that it is possible to derive from the index of flatness proposed by Berrebi and Silber (1989) a measure of bipolarization that has all the important properties one would like a bipolarization index to have.

Suggested Citation

  • Jacques SILBER & Meital Hanoka & Joseph Deutsch, 2007. "On the Link Between the Concepts of Kurtosis and Bipolarization," Economics Bulletin, AccessEcon, vol. 4(36), pages 1-6.
  • Handle: RePEc:ebl:ecbull:eb-07d30002

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    References listed on IDEAS

    1. Chakravarty, Satya R & Majumder, Amita, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
    2. Wang, You-Qiang & Tsui, Kai-Yuen, 2000. " Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-363.
    3. 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 107-115, February.
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    Cited by:

    1. repec:eme:reinzz:s1049-258520170000025003 is not listed on IDEAS
    2. Gaston Yalonetzky, 2013. "Relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves," Working Papers 318, ECINEQ, Society for the Study of Economic Inequality.
    3. Gaston Yalonetzky, 2014. "Relative bipolarization Lorenz curve," Economics Bulletin, AccessEcon, vol. 34(2), pages 1103-1113.
    4. Gaston Yalonetzky, 2016. "The necessary requirement of median independence for relative bipolarisation measurement," Working Papers 420, ECINEQ, Society for the Study of Economic Inequality.
    5. Gaston Yalonetzky, 2016. "The benchmark of maximum relative bipolarisation," Working Papers 419, ECINEQ, Society for the Study of Economic Inequality.
    6. García-Fernández, Rosa María & Gottlieb, Daniel & Palacios-González, Frederico, 2013. "Polarization, growth and social policy in the case of Israel, 1997-2008," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 7, pages 1-40.
    7. Marek Kosny & Gaston Yalonetzky, 2016. "Relative p-bipolarisation measurement with generalised means and hybrid Lorenz curves," Working Papers 404, ECINEQ, Society for the Study of Economic Inequality.

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    JEL classification:

    • D3 - Microeconomics - - Distribution


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