动态贫穷指数的置信集
Confidence sets for dynamic poverty indexes
摘要：
在这项研究中，我们扩展了D'Amico和Regnault（2018）提出的动态贫困指标，即动态人头比率，动态收入差距比率，动态基尼系数和动态森系数。贡献是双重的。首先，我们扩展了动态基尼指数的计算，从而相应地扩展了森指数的计算，其中包括根据收入对人们进行分类的每个贫困阶层内的不平等。其次，对于每个贫困指数，我们建立了一个中心极限定理，使我们有可能确定的信心集。对1998年至2012年意大利收入数据的应用证实了所考虑的方法的有效性以及确定实体经济中贫困和不平等演变的可能性。
英文摘要：
In this study, we extend the research on the dynamic poverty indexes, namely the dynamic Headcount ratio, the dynamic income-gap ratio, the dynamic Gini and the dynamic Sen, proposed in D'Amico and Regnault (2018). The contribution is twofold. First, we extend the computation of the dynamic Gini index, thus the Sen index accordingly, with the inclusion of the inequality within each class of poverty where people are classified according to their income. Second, for each poverty index, we establish a central limit theorem that gives us the possibility to determine the confidence sets. An application to the Italian income data from 1998 to 2012 confirms the effectiveness of the considered approach and the possibility to determine the evolution of poverty and inequality in real economies.
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