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Robust ordinal inequality comparisons with Kolm-independent measures

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  • Gaston Yalonetzky

    (University of Leeds, U.K.)

Abstract

Lv, Wang, and Xu (2015) recently characterized a new class of ordinal inequality measures axiomatically. In addition to their appealing functional forms, these measures are the only ones in the literature satisfying a property of independence, inspired by Kolm (1976). As acknowledged by the authors, the robustness of ordinal inequality comparisons to the several alternative suitable measures within the class is a natural concern. This note derives the stochastic dominance condition whose fulfilment guarantees that all inequality measures within the class rank a pair of distributions consistently.

Suggested Citation

  • Gaston Yalonetzky, 2016. "Robust ordinal inequality comparisons with Kolm-independent measures," Working Papers 401, ECINEQ, Society for the Study of Economic Inequality.
    • Handle: RePEc:inq:inqwps:ecineq2016-401
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2016-401.pdf
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    References listed on IDEAS

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    1. Erreygers, Guido, 2009. "Correcting the Concentration Index: A reply to Wagstaff," Journal of Health Economics, Elsevier, vol. 28(2), pages 521-524, March.
    2. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Adi Lazar & Jacques Silber, 2013. "On The Cardinal Measurement Of Health Inequality When Only Ordinal Information Is Available On Individual Health Status," Health Economics, John Wiley & Sons, Ltd., vol. 22(1), pages 106-113, January.
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    7. Erreygers, Guido, 2009. "Correcting the Concentration Index," Journal of Health Economics, Elsevier, vol. 28(2), pages 504-515, March.
    8. Allison, R. Andrew & Foster, James E., 2004. "Measuring health inequality using qualitative data," Journal of Health Economics, Elsevier, vol. 23(3), pages 505-524, May.
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    Cited by:

    1. David M Kaplan & Wei Zhao, 2023. "Comparing latent inequality with ordinal data," The Econometrics Journal, Royal Economic Society, vol. 26(2), pages 189-214.
    2. Silber, Jacques & Yalonetzky, Gaston, 2021. "Measuring welfare, inequality and poverty with ordinal variables," GLO Discussion Paper Series 962, Global Labor Organization (GLO).
    3. Valérie Bérenger & Jacques Silber, 2022. "On the Measurement of Happiness and of its Inequality," Journal of Happiness Studies, Springer, vol. 23(3), pages 861-902, March.

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    More about this item

    Keywords

    Stochastic dominance; Ordinal inequality.;

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • I14 - Health, Education, and Welfare - - Health - - - Health and Inequality

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