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Economics Letters, 2010
Abstract This paper presents a functional form, linear in the parameters, to deal with income distribution and Lorenz curves. The function is fitted to the Brazilian income distribution. Data standard deviations were estimated from year-to-year variation of the income share.
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Abstract This paper presents a functional form, linear in the parameters, to deal with income distribution and Lorenz curves. The function is fitted to the Brazilian income distribution. Data standard deviations were estimated from year-to-year variation of the income share.
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Identification of the Lorenz curve by Lorenz coefficient
Weltwirtschaftliches Archiv, 1981Die Identifikation der Lorenzkurve durch Lorenzkoeffizienten. — Der aus der Lorenzkurve abgeleitete Gini-Koeffizient vermittelt einen guten Eindruck von dem Ma\ an Ungleichheit. WAhrend sich jedoch eine Lorenzkurve auf den Gini-Koeffizienten im VerhAltnis eins zu eins ubertragen lA\t, entspricht — in der entgegengesetzten Richtung — ein Gini ...
Koo, Anthony Y. C. +2 more
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2010
We study the Generalized Lorenz curves of the minima of samples from a random variable. These Lorenz curves can be used to compare distributions in terms of their variability and define coherent risk measures. The dual Lorenz curves of the maxima of samples from the random variable are also considered.
Ignacio Cascos, Miguel Mendes
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We study the Generalized Lorenz curves of the minima of samples from a random variable. These Lorenz curves can be used to compare distributions in terms of their variability and define coherent risk measures. The dual Lorenz curves of the maxima of samples from the random variable are also considered.
Ignacio Cascos, Miguel Mendes
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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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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.
Barry C. Arnold, José María Sarabia
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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.
Barry C. Arnold, José María Sarabia
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Portfolio Risk Management Usingthe Lorenz Curve [PDF]
This article presents a methodology for using the Lorenz curve in financial economics. Most of the recent quantitative risk measures that abide by the rules of second-degree stochastic dominance, such as Gini’s mean difference and conditional value at risk, are associated with the Lorenz curve. With financial data, the Lorenz curve is easy to calculate,
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About the hyperbolic Lorenz curve
Economics Letters, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarabia, José María +2 more
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The Lorenz Curve and the Concentration Curve
2012The Lorenz and the concentration curves play important roles in the areas of GMD and the related measures such as Gini covariance, Gini correlation, Gini regression, and more. In this chapter we introduce the curves, discuss their properties, and show their connections to the Gini world. In addition, in order to be able to analyze the parallel concepts
Shlomo Yitzhaki, Edna Schechtman
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