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The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different countries and other groups. The sample estimates of these…

统计理论 · 数学 2017-02-01 Luke A. Prendergast , Robert G. Staudte

The Gini index signals only the dispersion of the distribution and is not very sensitive to income differences at the tails of the distribution. The widely used index of inequality can be adjusted to also measure distributional asymmetry by…

计量经济学 · 经济学 2022-09-15 Mario Schlemmer

The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

组合数学 · 数学 2020-10-26 Grant Kopitzke

Social inequality manifested across different strata of human existence can be quantified in several ways. Here we compute non-entropic measures of inequality such as Lorenz curve, Gini index and the recently introduced $k$ index…

物理与社会 · 物理学 2015-07-17 Jun-ichi Inoue , Asim Ghosh , Arnab Chatterjee , Bikas K. Chakrabarti

The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

组合数学 · 数学 2022-02-01 Grant Kopitzke

We propose a multivariate extension of the Lorenz curve based on multivariate rearrangements of optimal transport theory. We define a vector Lorenz map as the integral of the vector quantile map associated with a multivariate resource…

计量经济学 · 经济学 2024-04-17 Yanqin Fan , Marc Henry , Brendan Pass , Jorge A. Rivero

We consider concepts and models for measuring inequality in the distribution of resources with a focus on how inequality varies as a function of covariates. Lorenz introduced a device for measuring inequality in the distribution of income…

统计理论 · 数学 2008-12-02 Rolf Aaberge , Steinar Bjerve , Kjell Doksum

This article focuses on some properties of three tools used to measure economic inequalities with respect to a distribution of wealth $\mu$: Gini coefficient $G$, Hoover coefficient or Robin Hood coefficient $H$, and the Lorenz…

概率论 · 数学 2024-10-22 Valentin Melot

Classical measures of inequality use the mean as the benchmark of economic dispersion. They are not sensitive to inequality at the left tail of the distribution, where it would matter most. This paper presents a new inequality measurement…

计量经济学 · 经济学 2022-09-13 Mario Schlemmer

The pursuit of having an appropriate level of income inequality should be viewed as one of the biggest challenges facing academic scholars as well as policy makers. Unfortunately, research on this issue is currently lacking. This study is…

综合经济学 · 经济学 2022-01-04 Thitithep Sitthiyot , Kanyarat Holasut

This paper proposes a new Bayesian approach to estimate the Gini coefficient from the Lorenz curve based on grouped data. The proposed approach assumes a hypothetical income distribution and estimates the parameter by directly working on…

应用统计 · 统计学 2017-08-10 Genya Kobayashi , Kazuhiko Kakamu

Income and wealth allocation are foundational components of how economies operate. These are complex distributions, and it is hard to get a real sense for their dynamics using simplifications like average or median. One metric that…

综合经济学 · 经济学 2023-04-21 Dave Costenaro

We propose a methodology to assess transportation accessibility inequity in metropolitan areas. The methodology is based on the classic analysis tools of Lorenz curves and Gini indices, but the novelty resides in the fact that it can be…

计算机与社会 · 计算机科学 2022-06-22 Amirhesam Badeanlou , Andrea Araldo , Marco Diana

We find the set of extremal points of Lorenz curves with fixed Gini index and compute the maximal $L^1$-distance between Lorenz curves with given values of their Gini coefficients. As an application we introduce a bidimensional index that…

计量经济学 · 经济学 2021-03-08 Amparo Baíllo , Javier Cárcamo , Carlos Mora-Corral

Social inequality is a topic of interest since ages, and has attracted researchers across disciplines to ponder over it origin, manifestation, characteristics, consequences, and finally, the question of how to cope with it. It is manifested…

物理与社会 · 物理学 2015-09-30 Arnab Chatterjee , Asim Ghosh , Jun-ichi Inoue , Bikas K. Chakrabarti

The Gini index is a function that attempts to measure the amount of inequality in the distribution of a finite resource throughout a population. It is commonly used in economics as a measure of inequality of income or wealth. We define a…

表示论 · 数学 2023-05-23 Grant Kopitzke

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…

综合经济学 · 经济学 2022-01-03 Thitithep Sitthiyot , Kanyarat Holasut

To simultaneously overcome the limitation of the Gini index in that it is less sensitive to inequality at the tails of income distribution and the limitation of the inter-decile ratios that ignore inequality in the middle of income…

综合经济学 · 经济学 2022-01-03 Thitithep Sitthiyot , Kanyarat Holasut

Ambitious scenarios of carbon emission redistribution for mitigating climate change in line with the Paris Agreement and reaching the sustainable development goal of eradicating poverty have been proposed recently. They imply a strong…

物理与社会 · 物理学 2021-03-24 Gregor Semieniuk , Victor M. Yakovenko

Inequality is an inherent part of our lives: we see it in the distribution of incomes, talents, resources, and citations, amongst many others. Its intensity varies across different environments: from relatively evenly distributed ones, to…

物理与社会 · 物理学 2023-04-18 Lucio Bertoli-Barsotti , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem
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