A New Compromise Measure of Inequality

Abstract

In this paper we consider the so-called statistical or mechanistic measures of inequality which are sequences of functions

$${{I}^{n}}:\dot{\mathbb{R}}_{ + }^{n}: = \mathbb{R}_{ + }^{n}\backslash \{ \underline 0 \} \to \mathbb{R},\;n \in \{ 2,3,...\} , $$