Kappa ratios and (higher-order) stochastic dominance

Cuizhen NIU, Wing Keung WONG, Qunfang XU

Research output: Journal PublicationsJournal Article (refereed)peer-review

24 Citations (Scopus)


This paper first shows the sufficient relationship between the $$(n+1)$$ (n + 1) -order SD and the n-order Kappa ratio. In fact, we clarify the restrictions on necessary beating of the target for the higher-order SD consistency of the Kappa ratios. Thereafter, we show that, in general, the necessary relationship between SD/RSD and the Kappa ratio cannot be established. We find that when the variables being compared belong to the same location-scale family or the same linear combination of location-scale families, we can get the necessary relationship between the (n+1)$$ (n + 1) -order SD with the n-order Kappa ratio after imposing some conditions on the means. Our findings enable academics and practitioners to draw better decision in their analysis.
Original languageEnglish
Pages (from-to)245-253
Number of pages9
JournalRisk Management
Issue number3
Publication statusPublished - 1 Aug 2017
Externally publishedYes


  • Kappa ratio
  • Mean-risk analysis
  • Omega ratio
  • Risk aversion
  • Sortino ratio
  • Stochastic dominance


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