A characterization of the Esteban-Ray polarization measures

摘要

Esteban and Ray (1994) formalized the idea of polarization and developed a theory for its measurement. In their main theorem, they claimed that a class of polarization measures, called the Esteban-Ray measures, is characterized by a set of axioms that capture the idea of polarization. However, in this study, we show that the claim does not hold by presenting a counterexample. We amend their main theorem by strengthening the first axiom. (C) 2018 Elsevier B.V. All rights reserved.