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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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Using the weighted Lorenz curve to represent balance in collaborations: the BIC indicator. [PDF]
Scientometrics, 2023 This article aims to add to the body of indicators used to study collaboration in science. We propose a new indicator to measure balance in collaboration (BIC) which is based on the Gini evenness index for a weighted Lorenz curve.
Rousseau R, Zhang L, Sivertsen G.
europepmc +2 more sources
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 +2 more sources
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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Lorenz Curve-Based Entropy Thresholding on Circular Histogram
IEEE Access, 2020 Circular histogram thresholding is a new threshold selection method in color image segmentation. However, the method of the existing circular histogram thresholding based on the Otsu Criteria lacks the generality of using the circular histogram. In order
Chao Kang, Chengmao Wu, Jiulun Fan
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The New Measures of Lorenz Curve Asymmetry: Formulation and Hypothesis Testing
Decision Making: Applications in Management and Engineering, 2023 The existence of an asymmetric empirical Lorenz curve requires a measure of asymmetry that directly involves the geometry of the Lorenz curve as a component of its formulation.
Muhammad Fajar +2 more
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The Journal of Economic Inequality, 2017 A large number of functional forms have been suggested in the literature for estimating Lorenz curves that describe the relationship between income and population shares. One way of choosing a particular functional form is to pick the one that best fits the data in some sense.
Duangkamon Chotikapanich +1 more
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Estimation of the Gini coefficient for the lognormal distribution of income using the Lorenz curve. [PDF]
Springerplus, 2016 The main objective of the study is to compare the Newton–Cotes methods such as the Trapezium rule, Simpson 1/3 rule and Simpson 3/8 rule to estimate the area under the Lorenz curve and Gini coefficient of income using polynomial function with degree 5 ...
Darkwah KA, Nortey EN, Lotsi A.
europepmc +2 more sources
On the estimation of the Lorenz curve under complex sampling designs [PDF]
Statistical Methods & Applications, 2018 This paper focuses on the estimation of the concentration curve of a finite population, when data are collected according to a complex sampling design with different inclusion probabilities.
Conti, Pier Luigi +5 more
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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
doaj +2 more sources