A new measure of income inequality that captures the heavy tail behavior of the income distribution is proposed. We discuss two different approaches to find the estimators of the proposed measure. We show that these estimators are consistent and have an asymptotically normal distribution. A simulation result is presented to evaluate the finite sample properties of the estimators. Finally, we use our measure to study the income inequality of three states in India.

翻译：本文提出了一种新的收入不平等测度，该测度能够捕捉收入分布的厚尾特征。我们讨论了两种不同的方法来估算该测度的估计量。研究表明，这些估计量具有一致性，且服从渐近正态分布。通过模拟实验评估了估计量的有限样本性质。最后，我们运用该测度对印度三个邦的收入不平等状况进行了实证分析。