Results 1 to 10 of about 9,234 (266)
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Quantum relative Lorenz curves [PDF]
Physical Review A, 2017 The theory of majorization and its variants, including thermomajorization, have been found to play a central role in the formulation of many physical resource theories, ranging from entanglement theory to quantum thermodynamics. Here we formulate the framework of quantum relative Lorenz curves, and show how it is able to unify majorization ...
Buscemi, Francesco, Gour, Gilad
openaire +2 more sources
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 +1 more source