首页 | 本学科首页   官方微博 | 高级检索  
     检索      


A general class of additively decomposable inequality measures
Authors:James E Foster  Artyom A Shneyerov
Institution:(1) Department of Economics, Vanderbilt University, Nashville, TN 37235, USA(e-mail: fosterje@ctrvax.vanderbilt.edu) , US;(2) Department of Managerial Economics and Decision Sciences, J.L. Kellogg Graduate School of Management, Northwestern University, Evanston, IL 60208, USA (e-mail: a-shneyerov@nwu.edu) , US
Abstract:Summary. This paper presents and characterizes a two-parameter class of inequality measures that contains the generalized entropy measures, the variance of logarithms, the path independent measures of Foster and Shneyerov (1999) and several new classes of measures. The key axiom is a generalized form of additive decomposability which defines the within-group and between-group inequality terms using a generalized mean in place of the arithmetic mean. Our characterization result is proved without invoking any regularity assumption (such as continuity) on the functional form of the inequality measure; instead, it relies on a minimal form of the transfer principle – or consistency with the Lorenz criterion – over two-person distributions. Received: October 27, 1997; revised: March 25, 1998
Keywords:and Phrases: Inequality measures  Theil measures  Variance of logarithms  Generalized entropy measures  Additive          decomposability  Functional equations  Axiomatic characterization  
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号