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The Lorenz curve in economics and econometrics [PDF]
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
Using the weighted Lorenz curve to represent balance in collaborations: the BIC indicator. [PDF]
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]
Darkwah KA, Nortey EN, Lotsi A.
europepmc +3 more sources
Characterizing compressibility with Lorenz curves [PDF]
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
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
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
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]
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
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]
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