Large Sample Theory for the Bounds on the Gini and Related Indices of Inequality Estimated From Grouped Data
分组数据估计的基尼及相关不平等指数界限的大样本理论
The joint asymptotic distribution of the upper and lower bounds for the Gini index derived by Gastwirth for grouped data are obtained. From them a conservative asymptotically distribution-free confidence interval for the population Gini index is presented. The methods also yield similar results for other indices of inequality (e.g., Theil's and Atkinson's).