The Gini coefficient (Gini 1914) has proved valuable as a measure of income inequality. In cross-sectional studies of the Gini coefficient, information about the accuracy of its estimates is crucial. We show how to use jackknife and linearization to estimate the variance of the Gini coefficient, allowing for the effect of the sampling design. The aim is to show the asymptotic equivalence (or consistency) of the generalized jackknife estimator (Campbell 1980) and the Taylor linearization estimator (Kovac?evic´ and Binder 1997) for the variance of the Gini coefficient. A brief simulation study supports our findings
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机译:基尼系数(Gini 1914)已证明可作为衡量收入不平等的重要指标。在基尼系数的横断面研究中,有关其估计准确性的信息至关重要。我们展示了如何使用折刀和线性化来估计基尼系数的方差,从而实现抽样设计的效果。目的是显示基尼系数的方差的广义折刀估计量(Campbell 1980)和泰勒线性估计量(Kovac?evic´ and Binder 1997)的渐近等价性(或一致性)。简短的仿真研究支持我们的发现
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