On the influence function for the Theil-like class of inequality\n measures

2018/07/22 by Tchilabalo Abozou Kpanzou, Kpanzou, Tchilabalo Abozou, Diam Bâ +5
Decision Sciences · Mathematics · Social Sciences · #Advanced Statistical Methods and Models #FOS: Computer and information sciences #Income, Poverty, and Inequality #Mathematical Inequalities and Applications #Methodology (stat.ME) #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.1807.08256

openalex publication_date 2018/07/22 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

On one hand, a large class of inequality measures, which includes the\ngeneralized entropy, the Atkinson, the Gini, etc., for example, has been\nintroduced in Mergane and Lo (2013). On the other hand, the influence function\nof statistics is an important tool in the asymptotics of a nonparametric\nstatistic. This function has been and is being determined and analysed in\nvarious aspects for a large number of statistics. We proceed to a unifying\nstudy of the IF of all the members of the so-called Theil-like family and\nregroup those IF's in one formula. Comparative studies become easier.\n

Citations

• On the measurement of inequality
• Segregation and Diversity Measures in Population Distribution
• Measures of Inequality

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