Efficient Estimation of the Lorenz Curve and Associated Inequality Measures from Grouped Observations
Efficient Estimation of the Lorenz Curve and Associated Inequality Measures from Grouped Observations
复制标题
根据分组观测有效估计洛伦兹曲线和相关不平等措施
DOI：
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发表时间：
1976
期刊：
影响因子：
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通讯作者：
N. Podder
中科院分区：
文献类型：
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作者：
N. Kakwani;N. Podder
洛伦兹曲线被广泛用于表示和分析收入和财富的规模分布。本文的目的是介绍一个新的坐标系的洛伦兹曲线，特别注意一个特殊的情况下，广泛的经验有效性。四种替代方法已被用来估计拟议的洛伦兹曲线从分组的观察。著名的不等式的措施得到的函数的Lorenz曲线的估计参数。给出了不等式测度的渐近标准误差的估计方法。此外，从洛伦兹曲线的方程导出了频率分布。介绍了一种新的洛伦兹曲线表示，并与一些传统的收入不平等的措施。该报告介绍了一些估算方法，并根据澳大利亚消费者支出和财务调查的数据报告了一些实证结果。
The Lorenz curve is widely used to represent and analyze the size distribution of income and wealth. The purpose of this paper is to introduce a new coordinate system for the Lorenz curve, with particular attention to a special case of wide empirical validity. Four alternative methods have been used to estimate the proposed Lorenz curve from the grouped observations. The well-known inequality measures are obtained as the function of the estimated parameters of the Lorenz curve. The procedure of estimating the asymptotic standard errors of the inequality measures is also provided. In addition, the frequency distribution is derived from the equation of the Lorenz curve. A new representation of the Lorenz curve is introduced and related to a number of conventional measures of income inequality. The report describes a number of estimation methods and reports some empirical results based on the data from the Australian survey of Consumer Expenditure and Finances.