An inequality paradox: relative versus absolute indices?

被引：0
作者：
Satya R. Chakravarty
Palash Sarkar
机构：
[1] Indian Statistical Institute,
来源：
METRON | 2021年 / 79卷
关键词：
Inequality; Paradox; Gini index; Bonferroni index; Simpson’s paradox; C43; D31; D63; O15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper identifies a paradox for inequality indices which is similar to the well known Simpson paradox in statistics. For the Gini and Bonferroni indices, concrete examples of the paradox are provided and general methods are described for obtaining examples of the paradox for arbitrary size population. Sufficient conditions for the paradox not to hold are developed. The paradox, however, vanishes if we measure inequality by the absolute Gini and Bonferroni indices of inequality.
引用
收藏
页码：241 / 254
页数：13
相关论文
共 50 条
  • [1] Aaberge R(2007)Gini’s nuclear family J. Econ. Inequal. 5 305-322
  • [2] Atkinson AB(1970)On the measurement of inequality J. Econ. Theory 2 244-263
  • [3] Bhattacharya N(1967)Regional disparities in household consumption in India J. Am. Stat. Assoc. 62 143-161
  • [4] Mahalanobis B(2011)The logic of Simpson’s paradox Synthese 181 185-208
  • [5] Bandyopadhyay PS(2013)On the generalization and decomposition of the Bonferroni index Soc. Choice Welf. 41 763-787
  • [6] Nelson D(1972)On Simpson’s paradox and the sure-thing principle J. Am. Stat. Assoc. 67 364-366
  • [7] Greenwood M(1990)Intermediate inequality: concepts, indices, and welfare implications Math. Soc. Sci. 19 117-134
  • [8] Brittan G(1987)A note on measures of distance between income distributions J. Econ. Theory 41 185-188
  • [9] Berwald J(1980)A single-parameter generalization of the Gini indices of inequality J. Econ. Theory 22 67-86
  • [10] Bercena-Martin E(1984)A methodological survey of recent studies for the measurement of inequality of economic welfare carried out by some Italian statisticians Econ. Notes 13 145-157
12345