A Family of Aggregative Compromise Inequality Measures
提出一组公理，刻画了一类折衷不平等测度族，包括绝对平均差、相对平均差、标准差、变异系数等，适用于收入不平等分析。
This paper presents and discusses a set of axioms which characterizes a family of compromise inequality measures. These are indices of absolute inequality that can be easily converted to measures of relative inequality (division by the average income). The family consists of all r-means (r = 1) of the absolute difference between each individual's income and the average income. Adding further properties, one obtains an axiomatization of the absolute mean deviation, the relative mean deviation, the standard deviation, the coefficient of variation, and the subfamily of all r-means for r = 2. Copyright 1988 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.