Axiomatic characterization of the $\chi^{2}$ dissimilarity measure
Statistics Theory
2022-01-11 v2 Statistics Theory
Abstract
We axiomatically characterize the dissimilarity measure. To this end, we solve a new generalization of a functional equation discussed in Aczel (Lectures on functional equations and their applications, Academic Press, 1966).
Cite
@article{arxiv.2111.07617,
title = {Axiomatic characterization of the $\chi^{2}$ dissimilarity measure},
author = {Denis Bouyssou and Thierry Marchant and Marc Pirlot},
journal= {arXiv preprint arXiv:2111.07617},
year = {2022}
}