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Functional time series data frequently appears in econometric analyses, where the functions of interest are subject to some shape constraints, including monotonicity and convexity, as typical of the estimation of the Lorenz curve. This…

Applications · Statistics 2024-12-03 Daichi Hiraki , Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

Inequality measures are quantitative measures that take values in the unit interval, with a zero value characterizing perfect equality. Although originally proposed to measure economic inequalities, they can be applied to several other…

Physics and Society · Physics 2024-01-26 Paolo Giudici , Emanuela Raffinetti , Giuseppe Toscani

A country's mix of products predicts its subsequent pattern of diversification and economic growth. But does this product mix also predict income inequality? Here we combine methods from econometrics, network science, and economic…

Economics · Quantitative Finance 2017-01-31 D. Hartmann , M. R. Guevara , C. Jara-Figueroa , M. Aristaran , C. A. Hidalgo

The Gini coefficient of the life table is a concentration index that provides information on lifespan variation. Originally proposed by economists to measure income and wealth inequalities, it has been widely used in population studies to…

Populations and Evolution · Quantitative Biology 2022-09-28 José Manuel Aburto , Ugofilippo Basellini , Annette Baudisch , Francisco Villavicencio

This study proposes a reversible jump Markov chain Monte Carlo method for estimating parameters of lognormal distribution mixtures for income. Using simulated data examples, we examined the proposed algorithm's performance and the accuracy…

Econometrics · Economics 2025-10-28 Kazuhiko Kakamu

This paper presents findings from a web-experiment on a representative sample of the French population. It examines the acceptability of the Pigou-Dalton principle of transfers, which posits that transferring income from an individual to a…

General Economics · Economics 2024-11-14 Gaëlle Aymeric , Brice Magdalou

Based on some analytic structural properties of the Gini and Kolkata indices for social inequality, as obtained from a generic form of the Lorenz function, we make a conjecture that the limiting (effective saturation) value of the…

Physics and Society · Physics 2021-04-09 Asim Ghosh , Bikas K Chakrabarti

Classical inequality curves and inequality measures are defined for distributions with finite mean value. Moreover, their empirical counterparts are not resistant to outliers. For these reasons, quantile versions of known inequality curves…

Statistics Theory · Mathematics 2023-10-26 Alicja Jokiel-Rokita , Sylwester Piątek

Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax evasion. In…

General Finance · Quantitative Finance 2017-01-11 M. L. Bertotti , G. Modanese

Inequalities are abundant in a society with a number of agents competing for a limited amount of resource. Statistics of such social inequalities are usually represented by the Lorenz function $L(p)$, where $p$ fraction of the population…

Statistical Mechanics · Physics 2021-10-18 Soumyajyoti Biswas , Bikas K. Chakrabarti

Inequality (concentration) curves such as Lorenz, Bonferroni, Zenga curves, as well as a new inequality curve -- the $D$ curve, are broadly used to analyse inequalities in wealth and income distribution in certain populations. Quantile…

Statistics Theory · Mathematics 2023-12-13 Sylwester Piątek

This paper aims to review the different impacts of income inequality drivers on the Gini coefficient, depending on institutional specificities. In this context, we divided the European Union member states in two clusters (the cluster of…

An important challenge in statistical analysis lies in controlling the estimation bias when handling the ever-increasing data size and model complexity of modern data settings. In this paper, we propose a reliable estimation and inference…

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

In classification tasks, the long-tailed minority classes usually offer the predictions that are most important. Yet these classes consistently exhibit low accuracies, whereas a few high-performing classes dominate the game. We pursue a…

Machine Learning · Computer Science 2026-03-18 Ruixi Lin

This paper proposes a general framework for inference on three types of almost dominances: almost Lorenz dominance, almost inverse stochastic dominance, and almost stochastic dominance. We first generalize almost Lorenz dominance to almost…

Econometrics · Economics 2025-10-15 Xiaojun Song , Zhenting Sun

This study examines the relationship between globalization and income inequality, utilizing panel data spanning from 1992 to 2020. Globalization is measured by the World Bank global-link indicators such as FDI, Remittance, Trade Openness,…

General Economics · Economics 2023-02-21 Md Shah Naoaj

Widely used income inequality measure, Gini index is extended to form a family of income inequality measures known as Single-Series Gini (S-Gini) indices. In this study, we develop empirical likelihood (EL) and jackknife empirical…

Methodology · Statistics 2024-05-29 Sreelakshmi N , Sudheesh K Kattumannil , Rituparna Sen

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

Income inequality measures are often used as an indication of economic health. How to obtain reliable confidence intervals for these measures based on sampled data has been studied extensively in recent years. To preserve confidentiality,…

Applications · Statistics 2019-07-22 Dilanka S. Dedduwakumara , Luke A. Prendergast
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