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2018
The Lorenz curve is an important instrument for analyzing the size distributions of income, wealth and inequality . The problem of finding an appropriate functional form for a given data set or class of data sets is an important practical and theoretical problem.
José María Sarabia, Barry C. Arnold
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The Lorenz curve is an important instrument for analyzing the size distributions of income, wealth and inequality . The problem of finding an appropriate functional form for a given data set or class of data sets is an important practical and theoretical problem.
José María Sarabia, Barry C. Arnold
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Parametric Apppoximations of the Lorenz Curve [PDF]
, 1999 The purpose of this chapter is to discuss parametric approximations to the Lorenz curve. There is a relatively large literature on distribution-free statistical Lorenz curves which have been used to analyze the welfare implications of Atkinson’s (1970) notion of Lorenz dominance. This work is discussed in other places in this book.
Daniel J. Slottje, Hang K. Ryu
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An ordered family of Lorenz curves
Journal of Econometrics, 1999Abstract A general method for building parametric-functional families of Lorenz curves, generated from an initial Lorenz curve (which satisfies some regularity conditions) is presented. It is shown that these families can be ordered in a manner which leads to a hierarchy of Lorenz curves.
Enrique Castillo +2 more
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Inference on Lorenz and on Concentration Curves
2012In a pathbreaking paper, Atkinson (1970) proved several results concerning the ranking of income distributions according to expected values of all concave social welfare functions. One of the important results is that for distributions with equal means, all social welfare functions show the same order of average social welfares (i.e., the same ordering
Shlomo Yitzhaki, Edna Schechtman
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LORENZ: Stata module to estimate and display Lorenz curves and concentration curves
Research Papers in Economics, 2016Lorenz estimates Lorenz and concentration curves from individual-level data and, optionally, displays the results in a graph. Relative as well as generalized, absolute, unnormalized, or custom-normalized Lorenz or concentration curves are supported, and tools for computing contrasts between different subpopulations or outcome variables are provided ...
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The Lorenz Curve and the Gini Coefficient
The Journal of Economic Education, 2003(2003). The Lorenz Curve and the Gini Coefficient. The Journal of Economic Education: Vol. 34, No. 3, pp. 296-296.
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The Lorenz curve and the mobility function
Economics Letters, 1991Abstract The purpose of this paper is to specify a functional form of a Lorenz curve which allows us to examine an aspect of the observed income graduation which has not previously been analyzed. We demonstrate that the form of the Lorenz curve specified satisfied a Riccati differential equation and the logarithmic derivative satisfies a Bernoulli ...
R. L. Basmann +2 more
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Applications of Lorenz Curves in Economic Analysis
Econometrica, 1977The Lorenz curve relates the cumulative proportion of income units to the cumulative proportion of income received when units are arranged in ascending order of their income. In the past the curve has been mainly used as a convenient graphic device to represent the size distribution of income and wealth.
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Journal of Econometrics, 1993
Abstract For describing the distribution of income, a family of maximum entropy density functions is derived under optional side conditions on the distance of the mean income from the minimum income and the absolute Gini index of concentration. Many of the resulting Lorenz curves, obtained from the reciprocal of the density function by repeated ...
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Abstract For describing the distribution of income, a family of maximum entropy density functions is derived under optional side conditions on the distance of the mean income from the minimum income and the absolute Gini index of concentration. Many of the resulting Lorenz curves, obtained from the reciprocal of the density function by repeated ...
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