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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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    1. Benedicte Apouey, 2007. "Measuring health polarization with self‐assessed health data," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 875-894, September.
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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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    3. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2016. "Ordinal Bivariate Inequality: Concepts and Application to Child Deprivation in Mozambique," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(3), pages 559-573, September.
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    5. 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.
    6. 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.
    7. 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).
    8. 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).
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