Histogram-Based Interpolation of the Lorenz Curve and Gini Index for Grouped Data
Histogram-Based Interpolation of the Lorenz Curve and Gini Index for Grouped Data
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分组数据的洛伦兹曲线和基尼指数的基于直方图的插值
DOI：
10.1080/00031305.2012.734197
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Matti Langel
中科院分区：
文献类型：
--
作者：
Yves Tillé;Matti Langel
在分组数据中，对洛伦兹曲线的估计不考虑类内变异性，导致对曲线的高估和对基尼指数的低估。我们提出了一种新的Lorenz曲线的严格凸估计，该估计是基于线性插值法的累积分布函数的逼近。结合洛伦兹曲线，可以得到考虑组内变异性的基尼系数的修正。
In grouped data, the estimation of the Lorenz curve without taking into account the within-class variability leads to an overestimation of the curve and an underestimation of the Gini index. We propose a new strictly convex estimator of the Lorenz curve derived from a linear interpolation-based approximation of the cumulative distribution function. Integrating the Lorenz curve, a correction can be derived for the Gini index that takes the intraclass variability into account.