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Starting from the generalized exponential function $\exp_{\kappa}(x)=(\sqrt{1+\kappa^{2}x^{2}}+\kappa x)^{1/\kappa}$, with $\exp_{0}(x)=\exp(x)$, proposed in Ref. [G. Kaniadakis, Physica A \textbf{296}, 405 (2001)], the survival function…

Physics and Society · Physics 2008-12-02 F. Clementi , M. Gallegati , G. Kaniadakis

We consider Gini's mean difference statistic as an alternative to the empirical variance in the settings of finite populations where simple random samples are drawn without replacement. In particular, we discuss specific (in the finite…

Statistics Theory · Mathematics 2014-06-10 Andrius Čiginas , Dalius Pumputis

In this era of Big Data, proficient use of data mining is the key to capture useful information from any dataset. As numerous data mining techniques make use of information theory concepts, in this paper, we discuss how Fisher information…

Information Theory · Computer Science 2016-11-17 Nasir Ahmad , Sybil Derrible , Tarsha Eason , Heriberto Cabezas

In this article, I present a new approach and a novel model to the study of the life cycle of wages. The key idea is that wage can be thought as remuneration paid for the competency. It is assumed with the approach that there are three…

Physics and Society · Physics 2007-05-23 S. I. Maximov

Anthropometric measurements such as weight, stature (height), and body mass index (BMI) provide reliable indicators of children's growth. The 2000 CDC growth charts are the national standards in the United States for these important…

Applications · Statistics 2013-03-05 Xiang Zhong , Jingshan Li , Goutham Rao , KP Unnikrishnan

In the context of the global obesity epidemic, it is important to know who becomes obese and why. However, the processes that determine the changing shape of Body Mass Index (BMI) distributions in high-income societies are not…

Physics and Society · Physics 2018-02-07 John C. Lang , Hans De Sterck , Daniel M. Abrams

Urban inequality is a major challenge for cities in the 21st century. This inequality is reflected in the spatial income structure of cities which evolves in time through various processes. Gentrification is a well-known illustration of…

Physics and Society · Physics 2023-05-01 Vincent Verbavatz , Marc Barthelemy

We introduce the General Poverty Index (GPI), which summarizes most of the known and available poverty indices, in the form {equation*} GPI=\delta…

Methodology · Statistics 2012-08-21 Gane Samb Lo

We analyze three sets of income data: the US Panel Study of Income Dynamics PSID), the British Household Panel Survey (BHPS), and the German Socio-Economic Panel (GSOEP). It is shown that the empirical income distribution is consistent with…

Physics and Society · Physics 2008-12-02 F. Clementi , M. Gallegati

This paper aims to provide a comprehensive analysis on the income inequalities recorded in the EU-15 in the 1995-2014 period and to estimate the impact of private sector credit on income disparities. In order to estimate the impact, I used…

General Economics · Economics 2020-07-23 Ionut Jianu

With a new deprivation (or poverty) function, in this paper, we theoretically study the changes in poverty with respect to the `global' mean and variance of the income distribution using Indian survey data. We show that when the income…

Physics and Society · Physics 2015-06-26 Amit K Chattopadhyay , Sushanta K Mallick

The aim here is to address the origins of sustainability for the real growth rate in the United States. For over a century of observations on the real GDP per capita of the United States a sustainable two percent growth rate has been…

General Finance · Quantitative Finance 2016-08-08 Ali Hosseiny

Accurately estimating income Pareto exponents is challenging due to limitations in data availability and the applicability of statistical methods. Using tabulated summaries of incomes from tax authorities and a recent estimation method, we…

General Economics · Economics 2022-06-10 Ji Hyung Lee , Yuya Sasaki , Alexis Akira Toda , Yulong Wang

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…

General Economics · Economics 2022-11-01 Leonardo Gasparini , Germán Reyes

Economic competition between humans leads to income inequality, but, so far, there has been little understanding of underlying quantitative mechanisms governing such a collective behavior. We analyze datasets of household income from 67…

Economics · Quantitative Finance 2019-05-07 Yong Tao , Xiangjun Wu , Tao Zhou , Weibo Yan , Yanyuxiang Huang , Han Yu , Benedict Mondal , Victor M. Yakovenko

We present analytical results for the Gini coefficient of economic inequality under the dynamics of a modified Yard-Sale Model of kinetic asset exchange. A variant of the Yard-Sale Model is introduced by modifying the underlying binary…

Statistical Mechanics · Physics 2024-11-05 David W. Cohen , Bruce M. Boghosian

We consider a simple theoretical model to investigate the impact of inheritances on the wealth distribution. Wealth is described as a finite resource, which remains constant over different generations and is divided equally among offspring.…

Physics and Society · Physics 2021-11-17 Pedro Patrício , Nuno A. M. Araújo

Thomas Piketty's Capital in the Twenty-First Century puts forth a logically consistent explanation for changes in income and wealth inequality patterns. However, while rich in data, the book provides no formal empirical testing for its…

General Economics · Economics 2025-08-07 Carlos Góes

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 report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma