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This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

Economics · Quantitative Finance 2016-05-12 Eleonora Perversi , Eugenio Regazzini

The aim of this paper is to establish the asymptotic behavior of the mutual influence of the Gini index and the poverty measures by using the Gaussian fields described in Mergane and Lo(2013). The results are given as representation…

Methodology · Statistics 2017-05-29 Gane Samb Lo , Pape Djiby Mergane , Tchilabalo Abozou Kpanzou

In the last decade, a large body of literature has been developed to explain the universal features of inequality in terms of income and wealth. By now, it is established that the distributions of income and wealth in various economies show…

General Finance · Quantitative Finance 2016-11-25 Anindya S. Chakrabarti , Bikas K. Chakrabarti

Statistical evaluations of the economic mobility of a society are more difficult than measurements of the income distribution, because they require to follow the evolution of the individuals' income for at least one or two generations. In…

Economics · Quantitative Finance 2016-11-01 Maria Letizia Bertotti , Giovanni Modanese

A number of methods have been introduced in order to measure the inequality in various situations such as income and expenditure. In order to curry out statistical inference, one often needs to estimate the available measures of inequality.…

Methodology · Statistics 2017-12-27 Tchilabalo Abozou Kpanzou , Tertius de Wet , Gane Samb Lo

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…

Applications · Statistics 2022-11-10 Karl Mosler

This work analyzes the Gompertz-Pareto distribution (GPD) of personal income, formed by the combination of the Gompertz curve, representing the overwhelming majority of the economically less favorable part of the population of a country,…

General Finance · Quantitative Finance 2010-12-17 F. Chami Figueira , N. J. Moura , Marcelo B. Ribeiro

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

This study is concerned with estimating the inequality measures associated with the underlying hypothetical income distribution from the times series grouped data on the Lorenz curve. We adopt the Dirichlet pseudo likelihood approach where…

Methodology · Statistics 2019-08-20 Genya Kobayashi , Yuta Yamauchi , Kazuhiko Kakamu , Yuki Kawakubo , Shonosuke Sugasawa

We introduce the social welfare implications of the Zenga index, a recently proposed index of inequality. Our proposal is derived by following the seminal book by Son (2011) and the recent working paper by Kakwani and Son (2019). We compare…

General Economics · Economics 2020-06-24 Francesca Greselin , Simone Pellegrino , Achille Vernizzi

We introduce a minimal agent-based model to qualitatively conceptualize the allocation of limited wealth among more abundant opportunities. We study the interplay of power, satisfaction and frustration in distribution, concentration, and…

Physics and Society · Physics 2015-10-05 Benoit Mahault , Avadh Saxena , Cristiano Nisoli

Measuring the degree of inequality expressed by a multivariate statistical distribution is a challenging problem, which appears in many fields of science and engineering. In this paper, we propose to extend the well known univariate Gini…

Statistics Theory · Mathematics 2024-09-17 Gennaro Auricchio , Paolo Giudici , Giuseppe Toscani

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.…

Methodology · Statistics 2026-01-23 Silvia De Nicolò , Maria Rosaria Ferrante , Silvia Pacei

Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

We investigate the effect of tax evasion on the income distribution and the inequality index of a society through a kinetic model described by a set of nonlinear ordinary differential equations. The model allows to compute the global…

General Finance · Quantitative Finance 2014-08-25 Maria Letizia Bertotti , Giovanni Modanese

Statistical physicists and social scientists both study extensively some characteristic features of the unequal distributions of energy, cluster or avalanche sizes and of income, wealth etc among the particles (or sites) and population…

Physics and Society · Physics 2022-10-26 Asim Ghosh , Soumyajyoti Biswas , Bikas K. Chakrabarti

Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

Methodology · Statistics 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

Methodology · Statistics 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

The estimation of inequality and poverty measures is frequently constrained by a lack of individual data. Many countries, including China, continue to report income data in the form of aggregated income shares. In this context, the Beta…

Applications · Statistics 2026-04-02 José María Sarabia , Vanesa Jordá , Emilio Gómez-Déniz

Redistribution of resources within a group as a method to reduce wealth inequality is a current area of debate. The evolutionary path to or away from wealth sharing is also a subject of active research. In order to investigate effects and…

Physics and Society · Physics 2023-05-30 John C. Stevenson