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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

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

We propose an extension of the univariate Lorenz curve and of the Gini coefficient to the multivariate case, i.e., to simultaneously measure inequality in more than one variable. Our extensions are based on copulas and measure inequality…

统计方法学 · 统计学 2022-04-25 Oliver Grothe , Fabian Kächele , Friedrich Schmid

This paper proposes the k-generalized distribution as a model for describing the distribution and dispersion of income within a population. Formulas for the shape, moments and standard tools for inequality measurement - such as the Lorenz…

综合金融 · 定量金融 2009-01-31 F. Clementi , T. Di Matteo , M. Gallegati , G. Kaniadakis

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

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 paper covers the new model of wage distribution in typical group of people. The model provides the opportunity to reparameterize applicable income distribution model: Pareto, logarithmically normal, logarithmically logistic, Dagum etc.…

综合金融 · 定量金融 2013-09-17 Dmitry Schmerling

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

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

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

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

Modeling equity in the allocation of scarce resources is a fast-growing concern in the humanitarian logistics field. The Gini coefficient is one of the most widely recognized measures of inequity and it was originally characterized by means…

最优化与控制 · 数学 2021-06-25 Douglas Alem , Aakil M. Caunhye , Alfredo Moreno

Inequality indices are quantitative scores that gauge the divergence of wealth distributions in human societies from the "ground state" of pure communism. While inequality indices were devised for socioeconomic applications, they are…

统计力学 · 物理学 2017-03-31 I. Eliazar

Ratios of quantiles are often computed for income distributions as rough measures of inequality, and inference for such ratios have recently become available. The special case when the quantiles are symmetrically chosen; that is, when the…

统计方法学 · 统计学 2021-07-13 Luke A. Prendergast , Robert G. Staudte

We introduce an iterative discrete information production process where we can extend ordered normalised vectors by new elements based on a simple affine transformation, while preserving the predefined level of inequality, G, as measured by…

物理与社会 · 物理学 2024-01-17 Lucio Bertoli-Barsotti , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem

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

Various papers demonstrate the importance of inequality, poverty and the size of the middle class for economic growth. When explaining why these measures of the income distribution are added to the growth regression, it is often mentioned…

计量经济学 · 经济学 2019-03-07 Max Köhler , Stefan Sperlich , Jisu Yoon

The Gini's mean difference was defined as the expected absolute difference between a random variable and its independent copy. The corresponding normalized version, namely Gini's index, denotes two times the area between the egalitarian…

概率论 · 数学 2024-01-08 Marco Capaldo , Jorge Navarro

"The rich are getting richer" implies that the population income distributions are getting more right skewed and heavily tailed. For such distributions, the mean is not the best measure of the center, but the classical indices of income…

统计方法学 · 统计学 2023-08-08 Vytaras Brazauskas , Francesca Greselin , Ricardas Zitikis

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
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