Median Independent Inequality Orderings

Ramses Hani Abul Naga, Tarik Yalcin

Research output: Working paperDiscussion paper

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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.
Original languageEnglish
Place of PublicationAberdeen
PublisherUniversity of Aberdeen Business School
Pages1-25
Number of pages26
Publication statusPublished - 19 Oct 2010

Publication series

NameUniversity of Aberdeen Business School working paper series
PublisherUniversity of Aberdeen Business School
Volume03
ISSN (Print)0143-4543

Keywords

  • ordered response data
  • equivalence relation
  • inequality orderings
  • inequality measures

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  • Cite this

    Abul Naga, R. H., & Yalcin, T. (2010). Median Independent Inequality Orderings. (pp. 1-25). (University of Aberdeen Business School working paper series; Vol. 03). University of Aberdeen Business School.