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The Lorenz curve in economics and econometrics [PDF]

open access: yesResearch 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
core   +13 more sources

Characterizing compressibility with Lorenz curves [PDF]

open access: green2011 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
openalex   +5 more sources

Application of Lorenz-curve model to stratified water injection evaluation

open access: diamondPetroleum 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
doaj   +2 more sources

The Gini coefficient and discontinuity

open access: yesCogent 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
doaj   +1 more source

Estimating Gini Coefficient from Grouped Data Based on Shape-Preserving Cubic Hermite Interpolation of Lorenz Curve

open access: yesMathematics, 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
doaj   +1 more source

Lognormal Lorenz and normal receiver operating characteristic curves as mirror images [PDF]

open access: yesRoyal 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
doaj   +1 more source

Modified Lorenz Curve and Its Computation

open access: yesDesimal, 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
doaj   +1 more source

Quantile versions of the Lorenz curve [PDF]

open access: yesElectronic 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.
openaire   +4 more sources

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