2018/07/22 by Tchilabalo Abozou Kpanzou, Diam Ba, Diam Bâ +7
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 #stat.ME
paper · pdf · doi:10.48550/arxiv.1807.08256
15 pages
arxiv created 2018/07/22 · openalex publication_date 2018/07/22 · arxiv updated 2018/07/24 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
On one hand, a large class of inequality measures, which includes the generalized entropy, the Atkinson, the Gini, etc., for example, has been introduced in Mergane and Lo (2013). On the other hand, the influence function of statistics is an important tool in the asymptotics of a nonparametric statistic. This function has been and is being determined and analysed in various aspects for a large number of statistics. We proceed to a unifying study of the IF of all the members of the so-called Theil-like family and regroup those IF's in one formula. Comparative studies become easier.