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We investigate a model of stratified economic interactions between agents when the notion of spatial location is introduced. The agents are placed on a network with near-neighbor connections. Interactions between neighbors can occur only if…

Physics and Society · Physics 2015-05-20 J. L. Herrera , M. G. Cosenza , K. Tucci

The paper considers the classical Goodness of Fit test. It suggests to use the Gamma distribution for the approximation of the distribution of the Pearson statistics with unknown parameters estimated from raw data. The parameters of these…

Statistics Theory · Mathematics 2019-05-21 Nikolai Dokuchaev

A variety of fairness constraints have been proposed in the literature to mitigate group-level statistical bias. Their impacts have been largely evaluated for different groups of populations corresponding to a set of sensitive attributes,…

Machine Learning · Computer Science 2022-07-01 Jialu Wang , Xin Eric Wang , Yang Liu

Probability distributions defined on the unit interval are widely used in fields ranging from econometrics to reliability studies. Traditional models such as the beta and Kumaraswamy distributions are well-established due to their…

Methodology · Statistics 2026-03-04 Roberto Vila , Helton Saulo , Poliana Matos , Subhankar Dutta

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…

Econometrics · Economics 2019-03-07 Max Köhler , Stefan Sperlich , Jisu Yoon

Assessing equity in treatment of a subpopulation often involves assigning numerical "scores" to all individuals in the full population such that similar individuals get similar scores; matching via propensity scores or appropriate…

Methodology · Statistics 2021-10-18 Mark Tygert

We consider Gini means with short biographical information and propose a new proof of the main inequality for these means. Also some applications of Gini and other means are considered to polymer chemistry.

Classical Analysis and ODEs · Mathematics 2016-09-06 A. B. Pevnyi , S. M. Sitnik

Algorithmic fairness has gained prominence due to societal and regulatory concerns about biases in Machine Learning models. Common group fairness metrics like Equalized Odds for classification or Demographic Parity for both classification…

Machine Learning · Statistics 2023-11-01 François HU , Philipp Ratz , Arthur Charpentier

One of the fundamental principles driving diversity or homogeneity in domains such as cultural differentiation, political affiliation, and product adoption is the tension between two forces: influence (the tendency of people to become…

Computer Science and Game Theory · Computer Science 2015-10-28 David Kempe , Jon Kleinberg , Sigal Oren , Aleksandrs Slivkins

The proliferation of algorithmic systems has fueled discussions surrounding the regulation and control of their social impact. Herein, we consider a system whose primary objective is to maximize utility by selecting the most qualified…

Machine Learning · Computer Science 2024-05-21 Hamidreza Montaseri , Amin Gohari

In this study, we extend the research on the dynamic poverty indexes, namely the dynamic Headcount ratio, the dynamic income-gap ratio, the dynamic Gini and the dynamic Sen, proposed in D'Amico and Regnault (2018). The contribution is…

Econometrics · Economics 2020-06-12 Guglielmo D'Amico , Riccardo De Blasis , Philippe Regnault

Suppose that we are interested in the comparison of two independent categorical variables. Suppose also that the population is divided into subpopulations or groups. Notice that the distribution of the target variable may vary across…

Methodology · Statistics 2024-05-08 M. V. Alba-Fernández , M. D. Jiménez--Gamero , F. J. Ariza-López

The prominent inequality of wealth and income is a huge concern especially in the United States. The likelihood of diminishing poverty is one valid reason to reduce the world's surging level of economic inequality. The principle of…

Machine Learning · Computer Science 2018-10-25 Navoneel Chakrabarty , Sanket Biswas

This paper investigates the relationship between public education spending and income inequality across U.S. counties from 2010 to 2022 using quantile regression methods. The analysis shows that total per pupil education spending is…

Econometrics · Economics 2026-01-21 Ishmael Amartey

Factor analysis aims to describe high dimensional random vectors by means of a small number of unknown common factors. In mathematical terms, it is required to decompose the covariance matrix $\Sigma$ of the random vector as the sum of a…

Optimization and Control · Mathematics 2017-08-02 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

The rise in machine learning-assisted decision-making has led to concerns about the fairness of the decisions and techniques to mitigate problems of discrimination. If a negative decision is made about an individual (denying a loan,…

Machine Learning · Computer Science 2019-09-10 Vivek Gupta , Pegah Nokhiz , Chitradeep Dutta Roy , Suresh Venkatasubramanian

We collect well known and less known facts about the bivariate normal distribution and translate them into copula language. In addition, we prove a very general formula for the bivariate normal copula, we compute Gini's gamma, and we…

Probability · Mathematics 2018-09-19 Christian Meyer

For the decomposability property is very a practical one in Welfare analysis, most researchers and users favor decomposable poverty indices such as the Foster-Greer-Thorbeck poverty index. This may lead to neglect the so important weighted…

Methodology · Statistics 2012-01-12 Mohamed Cheikh Haidara , Gane Samb Lo

There are many situations where comparison of different groups is of great interest. Considering the ordering of the efficiency of some treatments is an example. We present nonparametric predictive inference (NPI) for the ordering of…

Methodology · Statistics 2020-09-29 Tahani Coolen-Maturi

Various measures can be used to estimate bias or unfairness in a predictor. Previous work has already established that some of these measures are incompatible with each other. Here we show that, when groups differ in prevalence of the…

Applications · Statistics 2017-09-13 Thomas Miconi
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