Logo
Munich Personal RePEc Archive

Higher-Order Risk Measure and (Higher-Order) Stochastic Dominance

Niu, Cuizhen and Wong, Wing-Keung and Xu, Qunfang (2017): Higher-Order Risk Measure and (Higher-Order) Stochastic Dominance.

[img]
Preview
PDF
MPRA_paper_75948.pdf

Download (82kB) | Preview

Abstract

This paper extends the theory between Kappa ratio and stochastic dominance (SD) and risk-seeking SD (RSD) by establishing several relationships between first- and higher-order risk measures and (higher-order) SD and RSD. We first show the sufficient relationship between the (n+1)-order SD and the n-order Kappa ratio. We then find that, in general, the necessary relationship between SD/RSD and the Kappa ratio cannot be established. Thereafter, 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 relationships between the (n+1)-order SD with the n-order Kappa ratio when we impose some conditions on the means. Our findings enable academics and practitioners to draw better decision in their analysis.

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.