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A universal model for the Lorenz curve with novel applications for datasets containing zeros and/or exhibiting extreme inequality [PDF]
Scientific Reports, 2023 Given that the existing parametric functional forms for the Lorenz curve do not fit all possible size distributions, a universal parametric functional form is introduced.
Thitithep Sitthiyot, Kanyarat Holasut
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An investigation of the performance of parametric functional forms for the Lorenz curve. [PDF]
PLoS ONE, 2023 Given that an excellent performance of any parametric functional form for the Lorenz curve that is based on a single country case study and a limited range of distribution must be treated with great caution, this study investigates the performance of a ...
Thitithep Sitthiyot, Kanyarat Holasut
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Re-Expression of the Lorenz Asymmetry Coefficient on the Rotated and Right-Shifted Lorenz Curve of Leaf Area Distributions [PDF]
PlantsThe Gini coefficient, while widely used to quantify inequality in biological size distributions, lacks the capacity to resolve directional asymmetry inherent in Lorenz curves, a critical limitation for understanding skewed resource allocation strategies.
Yongxia Chen +4 more
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Robust Lorenz Curves: A Semiparametric Approach [PDF]
, 2001 Lorenz curves and second-order dominance criteria are known to be sensitive to data contamination in the right tail of the distribution. We propose two ways of dealing with the problem: (1) Estimate Lorenz curves using parametric models for income ...
Frank A Cowell, Maria-Pia Victoria-Feser
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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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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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A simple method for estimating the Lorenz curve
Humanities & Social Sciences Communications, 2021 Given many popular functional forms for the Lorenz curve do not have a closed-form expression for the Gini index and no study has utilized the observed Gini index to estimate parameter(s) associated with the corresponding parametric functional form, a ...
Thitithep Sitthiyot, Kanyarat Holasut
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