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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

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

The inequality is computed through the so-called Gini index. The population is assumed to have the variable of interest distributed according to the Gamma probability distribution. The results show that the Gini index is reduced when the…

物理与社会 · 物理学 2007-05-23 Diego Saa

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

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 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

Social inequality is traditionally measured by the Gini-index ($g$). The $g$-index takes values from $0$ to $1$ where $g=0$ represents complete equality and $g=1$ represents complete inequality. Most of the estimates of the income or wealth…

物理与社会 · 物理学 2014-05-27 Asim Ghosh , Nachiketa Chattopadhyay , Bikas K. Chakrabarti

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

Gini index is a widely used measure of economic inequality. This article develops a general theory for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width. Fixed sample size…

统计方法学 · 统计学 2017-09-21 Bhargab Chattopadhyay , Shyamal Krishna De

Socio-economic inequality is measured using various indices. The Gini ($g$) index, giving the overall inequality is the most commonly used, while the recently introduced Kolkata ($k$) index gives a measure of $1-k$ fraction of population…

综合金融 · 定量金融 2016-11-07 Arnab Chatterjee , Asim Ghosh , Bikas K Chakrabarti

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

Entropy is being used in physics, mathematics, informatics and in related areas to describe equilibration, dissipation, maximal probability states and optimal compression of information. The Gini index on the other hand is an established…

物理与社会 · 物理学 2023-07-19 Tamás S. Biró , Zoltán Néda

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

Socio-economic inequality is characterized from data using various indices. The Gini ($g$) index, giving the overall inequality is the most common one, while the recently introduced Kolkata ($k$) index gives a measure of $1-k$ fraction of…

物理与社会 · 物理学 2016-11-23 Arnab Chatterjee , Asim Ghosh , Bikas K Chakrabarti

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

The Gini index underestimates inequality for heavy-tailed distributions: for example, a Pareto distribution with exponent 1.5 (which has infinite variance) has the same Gini index as any exponential distribution (a mere 0.5). This is…

统计方法学 · 统计学 2021-10-06 Sabiou Inoua

For the comparison of inequality and welfare in multiple attributes the use of generalized Gini indices is proposed. Individual endowment vectors are summarized by using attribute weights and aggregated in a spectral social evaluation…

应用统计 · 统计学 2022-11-10 Karl Mosler

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

"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 coefficient of variation, which measures the variability of a distribution from its mean, is not uniquely defined in the multidimensional case, and so is the multidimensional Gini index, which measures the inequality of a distribution…

统计理论 · 数学 2024-12-02 Gennaro Auricchio , Paolo Giudici , Giuseppe Toscani
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