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Median Independent Inequality Orderings

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  • Naga, Ramses H. Abul
  • Yalcin, Tarik

Abstract

To date, inequality orderings for ordered response data are only suitable for comparing distributions that share a common median state. In this paper we propose a methodology for comparing distributions irrespective of their medians. We set out to do so by introducing a general pre-ordering and equivalence relation defined over distributions with different median responses, leading us naturally to derive a partial ordering over equivalence classes. We then discuss the implications of our results for the axiomatic derivation of inequality indices for ordered response data.

Suggested Citation

  • Naga, Ramses H. Abul & Yalcin, Tarik, 2010. "Median Independent Inequality Orderings," SIRE Discussion Papers 2010-118, Scottish Institute for Research in Economics (SIRE).
    • Handle: RePEc:edn:sirdps:338
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    File URL: http://hdl.handle.net/10943/338
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    References listed on IDEAS

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    3. Alesina, Alberto & Di Tella, Rafael & MacCulloch, Robert, 2004. "Inequality and happiness: are Europeans and Americans different?," Journal of Public Economics, Elsevier, vol. 88(9-10), pages 2009-2042, August.
    4. Abul Naga, Ramses H. & Yalcin, Tarik, 2008. "Inequality measurement for ordered response health data," Journal of Health Economics, Elsevier, vol. 27(6), pages 1614-1625, December.
    5. Jones, Andrew M. & Rice, Nigel & Robone, Silvana & Dias, Pedro Rosa, 2011. "Inequality and polarisation in health systems' responsiveness: A cross-country analysis," Journal of Health Economics, Elsevier, vol. 30(4), pages 616-625, July.
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    Cited by:

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    2. Martyna Kobus & Radosław Kurek, 2019. "Multidimensional polarization for ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 17(3), pages 301-317, September.
    3. Joan Costa-Font & Frank A. Cowell, 2022. "The measurement of health inequalities: does status matter?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(2), pages 299-325, June.
    4. Sanghamitra Bandyopadhyay & Gaston Yalonetzky, 2016. "An individual-based approach to measurement of multiple-period mobility for nominal and ordinal variables," Working Papers 65, Queen Mary, University of London, School of Business and Management, Centre for Globalisation Research.
    5. Sonne-Schmidt, Christoffer & Tarp, Finn & Østerdal, Lars Peter, 2013. "Ordinal Multidimensional Inequality," WIDER Working Paper Series 097, World Institute for Development Economic Research (UNU-WIDER).
    6. 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.
    7. Joan Costa Font & Frank Cowell, 2013. "Measuring Health Inequality with Categorical Data: Some Regional Patterns," Research on Economic Inequality, in: Health and Inequality, volume 21, pages 53-76, Emerald Group Publishing Limited.
    8. Asis Kumar Banerjee, 2025. "Inequality ranking of ordered categorical distributions: A status-based approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 23(1), pages 71-89, March.
    9. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2013. "Ordinal Multidimensional Inequality," WIDER Working Paper Series wp-2013-097, World Institute for Development Economic Research (UNU-WIDER).
    10. Sandip Sarkar & Sattwik Santra, 2020. "Extending the approaches to polarization ordering of ordinal variables," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(3), pages 421-440, September.
    11. Martyna Kobus, 2015. "Polarization measurement for ordinal data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 275-297, June.
    12. 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.
    13. Carlotta Balestra & Nicolas Ruiz, 2015. "Scale-Invariant Measurement of Inequality and Welfare in Ordinal Achievements: An Application to Subjective Well-Being and Education in OECD Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 123(2), pages 479-500, September.

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