%0 Journal Article
%T The chi-square statistic as an income inequality index
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Mirzaei, Shahryar
%A Amir Jahanshahi, Seyed Mahdi
%D 2024
%\ 05/20/2024
%V
%N
%P -
%! The chi-square statistic as an income inequality index
%K Chi-square index
%K Income inequalty index
%K Lorenz curve
%R 10.22060/ajmc.2024.22945.1205
%X This article presents a novel concept known as the chi-square inequality index, developed through the utilization of the chi-square distance function. The study delves into the essential characteristics necessary for an effective inequality index. Additionally, a detailed formulation for the chi-square inequality curve is provided within key inequality models. A comparative analysis between the chi-square curve and the conventional Lorenz curve is conducted. Furthermore, a stochastic order based on the chi-square inequality curve is introduced. The research includes a simulation analysis to explore the statistical properties of the proposed sampling estimator. To conclude, the article highlights the effectiveness of this index through an application to real-world data.
%U