Large Sample Theory for the Bounds on the Gini and Related Indices of Inequality Estimated From Grouped Data
推导了分组数据下基尼系数上下界的联合渐近分布，并给出了总体基尼系数的保守渐近无分布置信区间，方法也适用于泰尔指数和阿特金森指数。
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).