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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Estimating Lorenz and Concentration Curves [PDF]
The Stata Journal, 2016 Lorenz and concentration curves are widely used tools in inequality research. In this article, I present a new command, lorenz, that estimates Lorenz and concentration curves from individual-level data and, optionally, displays the results in a graph.
Ben Jann
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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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An Exponential Family of Lorenz Curves [PDF]
Southern Economic Journal, 2001 A new method for building parametric‐functional families of Lorenz curves, generated from an initial Lorenz curve (which satisfies some regularity conditions), is presented. The method is applied to the exponential family since they use the exponential Lorenz curves as their generating curves.
José Marı́a Sarabia +2 more
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A simple method for estimating the Lorenz curve [PDF]
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
doaj +4 more sources
Evaluation of an Alternative Functional Form to Fit the Lorenz Curve for the Concentration Index Calculation [PDF]
Atmosphere, 2023 Precipitation concentration indices have become a popular tool for analyzing the structure of daily precipitation amounts. Among the existing indices, the concentration index (CI) is widely used.
Gerardo Núñez-González +2 more
doaj +2 more sources
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 ...
Cornelis W Oosterlee
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Estimation of the Gini coefficient based on two quantiles. [PDF]
PLoS ONEBased on the Palma proposition and the Lorenz fitting curve, this paper estimates the sample Gini coefficient using the income share of the top 10% and bottom 40% of the population.
Pingsheng Dai, Sitong Shen
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The Lamé class of Lorenz curves [PDF]
Communications in Statistics - Theory and Methods, 2014 The authors thank to Ministerio de Econom a y Competitividad, project ECO2010-15455, for partial support. The second author thanks to the Ministerio de Educaci on (FPU AP-2010-4907) for partial support. We are grateful for the constructive suggestions provided by the reviewers, which improved the paper.
José Marı́a Sarabia +2 more
openalex +4 more sources
An investigation of the performance of parametric functional forms for the Lorenz curve. [PDF]
PLoS One, 2023 Sitthiyot T, Holasut K.
europepmc +3 more sources