A Simple Correction to Remove the Bias of the Gini Coefficient due to Grouping
提出一个一阶偏差修正项来减少分组导致的基尼系数偏差,仅依赖每组人数,并通过蒙特卡洛模拟和欧美数据验证其有效性。
Abstract-We propose a first-order bias correction term for the Gini index to reduce the bias due to grouping. It depends on only the number of individuals in each group and is derived from a measurement error framework. We also provide a formula for the remaining second-order bias. Both Monte Carlo and EU and U.S. empirical evidence show that the first-order correction reduces a considerable share of the bias, but that some remaining second-order bias is increasing in the variance. We propose a procedure that addresses the remaining second-order bias by using additional information.