Coherence of inequality measures with respect to partial orderings of income distributions

Terence Chan

Research output: Contribution to journalArticlepeer-review


This paper investigates the coherence of a new class of ratio-based inequality indices introduced in Chan (2022) with respect to certain partial orderings of the underlying income distributions. While coherence with respect to stochastic dominance has been extensively studied, the appropriate partial ordering for this new class of indices is quantile ratio dominance. This paper also establishes coherence with respect to quantile ratio dominance for some other classes of inequality indices which have been introduced by other authors. Finally, some connections between the notion of coherence and transfer principles are explored.
Original languageEnglish
Pages (from-to)90-99
Number of pages10
JournalMathematical Social Sciences
Early online date8 Feb 2024
Publication statusPublished - Mar 2024


  • Coherence of measures of inequality
  • Partial ordering of distributions
  • Quantile ratio dominance
  • Stochastic dominance

ASJC Scopus subject areas

  • General Social Sciences
  • General Psychology
  • Sociology and Political Science
  • Statistics, Probability and Uncertainty


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