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On the Link Between the Concepts of Kurtosis and Bipolarization

Author

Listed:
  • Jacques SILBER

    () (Bar-Ilan University)

  • Meital Hanoka

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

  • Joseph Deutsch

    () (Bar-Ilan University)

Abstract

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

    as
    1. 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.
    2. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ambra Poggi & Jacques Silber, 2010. "On Polarization And Mobility: A Look At Polarization In The Wage-Career Profile In Italy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 123-140, March.
    2. repec:eme:reinzz:s1049-258520170000025003 is not listed on IDEAS
    3. Bénédicte H. Apouey, 2010. "On Measuring And Explaining Socioeconomic Polarization In Health With An Application To French Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 141-170, March.
    4. Gaston Yalonetzky, 2014. "Relative bipolarization Lorenz curve," Economics Bulletin, AccessEcon, vol. 34(2), pages 1103-1113.
    5. 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.
    6. Gaston Yalonetzky, 2017. "The Necessary Requirement of Median Independence for Relative Bipolarisation Measurement," Research on Economic Inequality,in: Research on Economic Inequality, volume 25, pages 51-62 Emerald Publishing Ltd.
    7. Gaston Yalonetzky, 2017. "The Benchmark of Maximum Relative Bipolarisation," Research on Economic Inequality,in: Research on Economic Inequality, volume 25, pages 39-50 Emerald Publishing Ltd.
    8. repec:bla:revinw:v:63:y:2017:i:4:p:608-632 is not listed on IDEAS
    9. M-super-a Casilda Lasso de la Vega & Ana Urrutia & Henar Díez, 2010. "Unit Consistency And Bipolarization Of Income Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 65-83, March.
    10. 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.
    11. Khan, Haider Ali & Schettino, Francesco & Gabriele, Alberto, 2017. "Polarization and the Middle Class in China: a Non-Parametric Evaluation Using CHNS and CHIP Data," MPRA Paper 86133, University Library of Munich, Germany.
    12. 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.
    13. Joseph Deutsch & Jacques Silber, 2010. "Income Polarization: Measurement, Determinants, And Implications," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 1-6, March.

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    JEL classification:

    • D3 - Microeconomics - - Distribution

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