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We investigate the arithmetic-harmonic inequality (AHI) index, a bounded and scale-invariant measure of dispersion for positive random variables, defined through the interplay between the mean and its reciprocal. We derive analytical…

Methodology · Statistics 2026-05-05 Roberto Vila , Helton Saulo

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…

Methodology · Statistics 2021-10-06 Sabiou Inoua

A novel approach is applied for improving forecast accuracy and achieving coherence in forecasting the Italian daily energy generation time series. In hierarchical frameworks such as national energy generation disaggregated by geographical…

Applications · Statistics 2025-02-18 Daniele Girolimetto , Tommaso Di Fonzo

Originally developed for measuring the heterogeneity of wealth measures, inequality indices are quantitative scores that take values in the unit interval, with the zero score characterizing perfect equality. In this paper, we draw attention…

Physics and Society · Physics 2022-10-03 Giuseppe Toscani

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…

Econometrics · Economics 2022-09-15 Mario Schlemmer

Income inequality is an important issue that has to be solved in order to make progress in our society. The study of income inequality is well received through the Gini coefficient, which is used to measure degrees of inequality in general.…

General Economics · Economics 2025-06-26 Wanetha Sudswong , Anon Plangprasopchok , Chainarong Amornbunchornvej

Concern about income inequality has become prominent in public discourse around the world. However, studies in behavioral economics and psychology have consistently shown that people prefer not equal but fair income distributions. Thus,…

General Economics · Economics 2022-09-13 Thitithep Sitthiyot , Kanyarat Holasut

This paper discusses region wealth size distributions, through their member cities aggregated tax income. As an illustration, the official data of the Italian Ministry of Economics and Finance has been considered, for all Italian…

Economics · Quantitative Finance 2015-10-06 Roy Cerqueti , Marcel Ausloos

The rise of generative AI (GenAI) chatbots accessible via conversational interfaces is transforming digital interactions and holds economic promise. However, these tools might deepen existing inequalities -- not only through uneven,…

This paper deals with fairness in stable marriage problems. The idea studied here is to achieve fairness thanks to a Generalized Gini Index (GGI), a well-known criterion in inequality measurement, that includes both the egalitarian and…

Computational Complexity · Computer Science 2018-09-25 Hugo Gilbert , Olivier Spanjaard

The rapid development of generative artificial intelligence (GenAI) tools such as ChatGPT has intensified interest in their role in higher education, particularly in how students perceive and use them and how these perceptions may relate to…

Computers and Society · Computer Science 2026-03-20 Seyma Yaman Kayadibi

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…

Statistical Mechanics · Physics 2017-03-31 I. Eliazar

This paper is a collaborative effort between Linguistics, Law, and Computer Science to evaluate stereotypes and biases in automated translation systems. We advocate gender-neutral translation as a means to promote gender inclusion and…

Computation and Language · Computer Science 2025-02-18 Fatemeh Mohammadi , Marta Annamaria Tamborini , Paolo Ceravolo , Costanza Nardocci , Samira Maghool

Demographic bias in high-performance face recognition (FR) systems often eludes detection by existing metrics, especially with respect to subtle disparities in the tails of the score distribution. We introduce the Comprehensive Equity Index…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Imanol Solano , Julian Fierrez , Aythami Morales , Alejandro Peña , Ruben Tolosana , Francisco Zamora-Martinez , Javier San Agustin

Inequality measures provide a valuable tool for the analysis, comparison, and optimization based on system models. This work studies the relation between attributes or features of an individual to understand how redundant, unique, and…

Information Theory · Computer Science 2024-07-08 Tobias Mages , Christian Rohner

We propose a new family of inequality indices that bridges the Hoover index and the Gini coefficient. The measure is defined as the normalized expected absolute value of a convex combination of deviations from the mean and pairwise…

Methodology · Statistics 2026-03-30 Roberto Vila , Helton Saulo , Felipe Quintino

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…

Statistics Theory · Mathematics 2008-12-02 Rolf Aaberge , Steinar Bjerve , Kjell Doksum

A significant body of research in the data sciences considers unfair discrimination against social categories such as race or gender that could occur or be amplified as a result of algorithmic decisions. Simultaneously, real-world…

Machine Learning · Computer Science 2022-12-09 Lucius E. J. Bynum , Joshua R. Loftus , Julia Stoyanovich

The literature dedicated to analysis of the difference in research productivity between the sexes tends to agree in indicating better performance for men. This study enters in the vein of work on the subject. Through bibliometric…

Digital Libraries · Computer Science 2018-12-20 Giovanni Abramo , Ciriaco Andrea D'Angelo , Alessandro Caprasecca

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…

Physics and Society · Physics 2016-11-23 Arnab Chatterjee , Asim Ghosh , Bikas K Chakrabarti