On a Family of Achievement and Shortfall Inequality Indices
利用Ebert提出的弱可分解公理，识别出一族绝对一致的不平等指数，其中两个新指数分别类似Atkinson指数和Kolm指数，并应用于研究50岁以上欧洲人的握力不平等。
This paper identifies a family of absolute consistent inequality indices using a weakly decomposable postulate suggested by Ebert. Because one member employs an Atkinson type aggregation we refer to it as the Atkinson index of consistent inequality. A second member of this family parallels the Kolm index of inequality. Two innovative features of these indices are that no specific structure is imposed on the form of the index at the outset and no transformation of any existing index is considered to ensure consistency. Each of them regards an achievement distribution as equally unequal as the corresponding shortfall distribution. We apply these indices to study inequality in grip strength among 50+ year-old Europeans. Copyright © 2015 John Wiley & Sons, Ltd.