Kernel Estimation of the Quintile Share Ratio index of Inequality for Heavy-tailed Income distributions

IF 1 Q1 MATHEMATICS
None Modou Kebe, El Hadji Deme, None Tchilabalo Abozou Kpanzou, Solym Mawaki Manou-Abi, None Ebrima Sisawo
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Abstract

Evidence from micro-data shows that capital incomes are exceedingly volatile, which makes up a disproportionately high contribution to the overall inequality in populations with the heavy-tailed nature on the income distributions for many countries. The quintile share ratio (QSR) is a recently introduced measure of income inequality, also forming part of the European Laeken indicators and which cover four important dimensions of social inclusion (health, education, employment and financial poverty). In 2001, the European Council decided that income inequality in the European Union member states should be described using a number of indicators including the QSR. Non-parametric estimation has been developed on the QSR index for heavy-tailed capital incomes distributions. However, this method of estimation does not give satisfactory statistical performances, since it suffers badly from under coverage, and so we cannot rely on the non-parametric estimator. Hence, we need another estimator in the case of heavy tailed populations. This is the reason why we introduce, in this paper, a class of semi-parametric estimators of theQSR index of economic inequality for heavy-tailed income distributions. Our methodology is basedon the extreme value theory, which offers adequate statistical results for such distributions. Weestablish their asymptotic distribution, and through a simulation study, we illustrate their behaviorin terms of the absolute bias and the median squared error. The simulation results clearly showthat our estimators work well.
重尾收入分布的五分位数份额比不平等指数的核估计
来自微观数据的证据表明,资本收入极不稳定,这对许多国家收入分配具有重尾性质的人口的总体不平等造成了不成比例的高贡献。五分位数份额比率(QSR)是最近引入的收入不平等衡量标准,也是欧洲拉肯指标的一部分,涵盖社会包容的四个重要方面(健康、教育、就业和金融贫困)。2001年,欧洲理事会决定,欧盟成员国的收入不平等应该用一系列指标来描述,其中包括质量评价体系。对重尾资本收入分布的QSR指数进行了非参数估计。然而,这种估计方法不能给出令人满意的统计性能,因为它受到覆盖不足的严重影响,因此我们不能依赖于非参数估计器。因此,对于重尾种群,我们需要另一个估计量。这就是为什么我们在本文中引入了一类重尾收入分配的经济不平等qsr指数的半参数估计量。我们的方法基于极值理论,该理论为这种分布提供了充分的统计结果。我们建立了它们的渐近分布,并通过模拟研究,从绝对偏差和中位数平方误差的角度说明了它们的行为。仿真结果清楚地表明我们的估计器工作良好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.30
自引率
28.60%
发文量
156
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