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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

"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

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

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 quantile ratio index introduced by Prendergast and Staudte 2017 is a simple and effective measure of relative inequality for income data that is resistant to outliers. It measures the average relative distance of a randomly chosen…

统计方法学 · 统计学 2018-01-01 Luke A. Prendergast , Robert G. Staudte

In this paper we derive inferential results for a new index of inequality, specifically defined for capturing significant changes observed both in the left and in the right tail of the income distributions. The latter shifts are an apparent…

统计理论 · 数学 2017-06-20 Youri Davydov , Francesca Greselin

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

A common assumption in the literature is that the level of income inequality shapes individuals' beliefs about whether the income distribution is fair (``fairness views,'' for short). However, individuals do not directly observe income…

综合经济学 · 经济学 2022-11-01 Leonardo Gasparini , Germán Reyes

Multidimensional poverty measurement has captured the attention of policy-makers and researchers during recent years. Mexico is one of the most advanced countries in the measurement of poverty beyond income indicators. However, both in…

物理与社会 · 物理学 2017-02-17 V. Pérez-Cirera , O. López-Corona , G. Teruel F. Carrera , M. Reyes , A. García-Teruel

Maximal inequalities refer to bounds on expected values of the supremum of averages of random variables over a collection. They play a crucial role in the study of non-parametric and high-dimensional estimators, and especially in the study…

概率论 · 数学 2025-04-28 Supratik Basu , Arun K Kuchibhotla

In 2018, at the World Economic Forum in Davos it was presented a new countries' economic performance metric named the Inclusive Development Index (IDI) composed of 12 indicators. The new metric implies that countries might need to realize…

计算工程、金融与科学 · 计算机科学 2018-04-18 Anwar Irmatov , Elnura Irmatova

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

Income inequality estimators are biased in small samples, leading generally to an underestimation. This aspect deserves particular attention when estimating inequality in small domains and performing small area estimation at the area level.…

统计方法学 · 统计学 2026-01-23 Silvia De Nicolò , Maria Rosaria Ferrante , Silvia Pacei

Ranking systems in web search and recommendation allocate attention among items and providers, and therefore need to balance relevance-based effectiveness with provider fairness. Existing fair-ranking methods commonly focus on exposure…

信息检索 · 计算机科学 2026-05-26 Xuancheng Li , Tao Yang , Yujia Zhou , Qingyao Ai , Yiqun Liu

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

Walley's Imprecise Dirichlet Model (IDM) for categorical data overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in practice, one needs efficient ways for computing the…

概率论 · 数学 2007-07-16 Marcus Hutter

We propose a parametric integral probability metric (IPM) to measure the discrepancy between two probability measures. The proposed IPM leverages a specific parametric family of discriminators, such as single-node neural networks with ReLU…

机器学习 · 统计学 2025-04-29 Yuha Park , Kunwoong Kim , Insung Kong , Yongdai Kim

Income inequality is known to have negative impacts on an economic system, thus has been debated for a hundred years past or more. Numerous ideas have been proposed to quantify income inequality, and the Gini coefficient is a prevalent…

理论经济学 · 经济学 2021-06-09 Ji-Won Park , Chae Un Kim

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

统计方法学 · 统计学 2023-09-19 Archer Gong Zhang , Jiahua Chen

Income inequality and redistribution policies are modeled with a minimal, endogenous model of a simple foraging economy. Significant income inequalities emerge from the model for populations of equally capable individuals presented with…

物理与社会 · 物理学 2024-11-21 John C. Stevenson
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