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A universal model for the Lorenz curve with novel applications for datasets containing zeros and/or exhibiting extreme inequality [PDF]

open access: goldScientific 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
doaj   +4 more sources

Estimating Lorenz and Concentration Curves [PDF]

open access: bronzeThe 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
exaly   +3 more sources

Re-Expression of the Lorenz Asymmetry Coefficient on the Rotated and Right-Shifted Lorenz Curve of Leaf Area Distributions [PDF]

open access: goldPlants
The 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
doaj   +3 more sources

An Exponential Family of Lorenz Curves [PDF]

open access: greenSouthern 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
  +5 more sources

A simple method for estimating the Lorenz curve [PDF]

open access: yesHumanities & 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]

open access: goldAtmosphere, 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

open access: yesDependence 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
exaly   +2 more sources

Estimation of the Gini coefficient based on two quantiles. [PDF]

open access: yesPLoS ONE
Based 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
doaj   +2 more sources

The Lamé class of Lorenz curves [PDF]

open access: greenCommunications 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

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