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The Lorenz curve in economics and econometrics [PDF]
Research Papers in Economics, 2005 This paper surveys selected applications of the Lorenz curve and related stochastic orders in economics and econometrics, with a bias towards problems in statistical distribution theory. These include characterizations of income distributions in terms of families of inequality measures, Lorenz ordering of multiparameter distributions in terms of their ...
Christian Kleiber
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Using the weighted Lorenz curve to represent balance in collaborations: the BIC indicator. [PDF]
Scientometrics, 2023 Rousseau R, Zhang L, Sivertsen G.
europepmc +3 more sources
Estimation of the Gini coefficient for the lognormal distribution of income using the Lorenz curve. [PDF]
Springerplus, 2016 Darkwah KA, Nortey EN, Lotsi A.
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Characterizing compressibility with Lorenz curves [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 This paper revisits earlier work on rate distortion behavior of sparse sources, namely it highlights the fact that a graphical sparsity characterization proposed in [1] is a Lorenz curve, a tool for summarizing income inequality that has been used by economists for over a century. The Lorenz curve associated to a memoryless source can be used to obtain
Claudio Weidmann
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Application of Lorenz-curve model to stratified water injection evaluation
Petroleum Exploration and Development, 2015 To evaluate the effect of stratified water injection accurately during different development stages, a Lorenz-curve model was constructed upon a modified four-parameter Sarabia-Lorenz-curve model with water injectivity test data over years, and the ...
Dapeng GAO +7 more
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The Gini coefficient and discontinuity
Cogent Economics & Finance, 2022 This article reveals a discontinuity in the mapping from a Lorenz curve to the associated cumulative distribution function. The problem is of a mathematical nature—based on an analysis of the transformation between the distribution function of a bound ...
Jens Peter Kristensen
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Mathematics, 2021 The Lorenz curve and Gini coefficient are widely used to describe inequalities in many fields, but accurate estimation of the Gini coefficient is still difficult for grouped data with fewer groups.
Songpu Shang, Songhao Shang
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Lognormal Lorenz and normal receiver operating characteristic curves as mirror images [PDF]
Royal Society Open Science, 2015 The Lorenz curve for assessing economic inequality depicts the relation between two cumulative distribution functions (CDFs), one for the distribution of incomes or wealth and the other for their first-moment distribution.
R. John Irwin, Michael J. Hautus
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Modified Lorenz Curve and Its Computation
Desimal, 2020 The Lorenz curve is generally used to find out the inequality of income distribution. Mathematically a standard form of the Lorenz curve can be modified with the aim of simplicity of its symmetric analysis and calculation of the Gini coefficient that ...
Subian Saidi +4 more
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Quantile versions of the Lorenz curve [PDF]
Electronic Journal of Statistics, 2016 The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different countries and other groups. The sample estimates of these moment-based concepts are sensitive to outliers and so we investigate the extent to which quantile-based definitions ...
Prendergast, Luke A., Staudte, Robert G.
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