基于分组数据测算不均等与贫困等收入分配指标: 兼顾数据截断问题的方法论评估
万广华, 江葳蕤, 胡晓珊

Measuring Income Distribution Indicators such as Inequality and Poverty based on Grouped Data: A Methodological Assessment Considering Data Truncation
Guanghua WAN, Weirui JIANG, Xiaoshan HU
表3 不同模拟次数下迭代法调整前后个人收入份额的平均绝对偏差之和(单位: %)
分组数 处理方法 截断比例 Lognormal Gamma Dagum SM Beta2 GB2
五等份分组 考虑截断且进行调整 0.50% 12.49 22.29 8.02 14.65 16.19 14.93
1.00% 12.69 23.28 8.37 16.74 17.88 17.56
1.50% 13.03 24.13 8.43 17.73 18.03 18.81
2.00% 13.53 24.91 8.22 17.93 18.06 18.71
2.50% 14.12 25.66 8.52 17.92 18.11 17.76
3.00% 14.70 26.42 8.07 17.92 18.28 18.16
考虑截断但未进行调整 0.50% 12.82 25.34 8.11 14.69 16.33 14.99
1.00% 12.91 25.65 8.46 16.76 17.88 17.56
1.50% 13.18 26.03 8.54 17.74 18.03 18.80
2.00% 13.64 26.46 8.34 17.93 18.05 18.70
2.50% 14.20 26.94 8.67 17.91 18.09 17.74
3.00% 14.75 27.45 8.23 17.90 18.25 18.12
未考虑截断 0.50% 15.47 22.99 11.78 13.96 15.80 16.11
1.00% 17.76 24.44 15.35 17.40 18.91 19.77
1.50% 19.55 25.52 17.85 19.67 20.97 21.86
2.00% 21.12 26.44 19.86 21.45 22.59 23.38
2.50% 22.60 27.33 21.63 23.04 24.04 24.71
3.00% 23.99 28.19 23.20 24.46 25.34 25.97
十等份分组 考虑截断且进行调整 0.50% 12.00 20.29 7.09 10.91 15.28 14.41
1.00% 12.41 22.01 7.90 10.39 16.33 14.85
1.50% 12.95 23.38 8.79 9.74 16.11 14.59
2.00% 13.60 24.55 9.84 9.31 15.60 14.81
2.50% 14.24 25.65 10.44 9.11 14.95 14.26
3.00% 14.60 26.72 8.87 8.36 14.23 14.35
考虑截断但未进行调整 0.50% 12.89 25.37 7.13 10.92 15.32 14.44
1.00% 13.05 25.66 7.92 10.41 16.30 14.83
1.50% 13.39 26.04 8.78 9.77 16.08 14.57
2.00% 13.92 26.48 9.82 9.33 15.57 14.79
2.50% 14.46 26.97 10.45 9.14 14.92 14.24
3.00% 14.77 27.50 9.11 8.43 14.20 14.32
未考虑截断 0.50% 16.01 20.59 13.85 14.86 15.92 16.31
1.00% 19.53 22.76 18.30 19.03 19.68 20.40
1.50% 22.05 24.37 21.25 21.76 22.20 22.70
2.00% 23.94 25.70 23.48 23.87 24.18 24.49
2.50% 25.70 26.96 25.40 25.70 25.92 26.15
3.00% 27.22 28.15 27.02 27.26 27.43 27.56