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Tricks with the lorenz curve [PDF]
Economics Bulletin, 2010 This note develops, for the Gini coefficient of inequality, a very simple generalization that directly incorporates judgments on ‘relative inter-group inequality aversion' by making the inequality measure sensitive to the skewness of the Lorenz curve.
Subramanian Sreenivasan
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Lorenz Densities and Lorenz Curves
2014Lorenz curves and Lorenz densities are introduced for real-valued random variables with finite and strictly positive expectation. Gastritic’s definition of a Lorenz curve is used. Basic properties of Lorenz curves are given as well as approximation results.
Thomas Kämpke, Franz Josef Radermacher
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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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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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Economics Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarabia, José María +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarabia, José María +3 more
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The Lorenz Curve in the Classroom
The American Statistician, 2020The Lorenz curve and Gini index have great social relevance due to concerns regarding income inequality.
Roberta La Haye, Petr Zizler
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Journal of Econometrics, 1989
A family of elliptic Lorenz curves is proposed for fitting grouped income data. The associated distribution and density functions are displayed together with the Gini indices. Estimation procedures are discussed. Comparisons are made with alternative models using Australian 1967--68 income data.
Villaseñor, José A., Arnold, Barry C.
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A family of elliptic Lorenz curves is proposed for fitting grouped income data. The associated distribution and density functions are displayed together with the Gini indices. Estimation procedures are discussed. Comparisons are made with alternative models using Australian 1967--68 income data.
Villaseñor, José A., Arnold, Barry C.
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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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A piecewise method for estimating the Lorenz curve [PDF]
Economics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ZuXiang Wang, Russell Smyth
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On Egghe's construction of Lorenz curves
Journal of the American Society for Information Science and Technology, 2007AbstractContrary to Burrell's statements, Egghe's theory of continuous concentration does include the construction of a standard Lorenz curve.
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