Results 11 to 20 of about 10,097 (263)
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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Exponent Spectrum of Lorenz Curves and Its Relation to a System’s Heterogeneity [PDF]
EntropyWe analyze the effect of microscopic heterogeneity on the Lorenz curve of macroscopic observables. The Lorenz curve of a response function, being a cumulative and bounded quantity; it is often a more stable function than the corresponding probability ...
Soumyaditya Das, Soumyajyoti Biswas
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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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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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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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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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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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An Income Inequality Measure Based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve [PDF]
The Egyptian Statistical Journal, 2008 In this paper, a new measure of Income Inequality is proposed. The measure is based on the Symmetric Properties of both the Income Distribution and the Lorenz Curve.
Mohamed Hassan
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Lorenz-generated bivariate Archimedean copulas
Dependence Modeling, 2020 A novel generating mechanism for non-strict bivariate Archimedean copulas via the Lorenz curve of a non-negative random variable is proposed. Lorenz curves have been extensively studied in economics and statistics to characterize wealth inequality and ...
Fontanari Andrea +2 more
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