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We provide a survey of the Kolkata index of social inequality, focusing in particular on income inequality. Based on the observation that inequality functions (such as the Lorenz function), giving the measures of income or wealth against…

General Economics · Economics 2021-09-29 Suchismita Banerjee , Bikas K. Chakrabarti , Manipushpak Mitra , Suresh Mutuswami

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

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

The pursuit of having an appropriate level of income inequality should be viewed as one of the biggest challenges facing academic scholars as well as policy makers. Unfortunately, research on this issue is currently lacking. This study is…

General Economics · Economics 2022-01-04 Thitithep Sitthiyot , Kanyarat Holasut

The Gini index is a function that attempts to measure the amount of inequality in the distribution of a finite resource throughout a population. It is commonly used in economics as a measure of inequality of income or wealth. We define a…

Representation Theory · Mathematics 2023-05-23 Grant Kopitzke

Currently, the high-precision estimation of nonlinear parameters such as Gini indices, low-income proportions or other measures of inequality is particularly crucial. In the present paper, we propose a general class of estimators for such…

Methodology · Statistics 2014-07-01 Camelia Goga , Anne Ruiz-Gazen

The inequality is computed through the so-called Gini index. The population is assumed to have the variable of interest distributed according to the Gamma probability distribution. The results show that the Gini index is reduced when the…

Physics and Society · Physics 2007-05-23 Diego Saa

We introduce an iterative discrete information production process where we can extend ordered normalised vectors by new elements based on a simple affine transformation, while preserving the predefined level of inequality, G, as measured by…

Physics and Society · Physics 2024-01-17 Lucio Bertoli-Barsotti , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem

The paper covers the new model of wage distribution in typical group of people. The model provides the opportunity to reparameterize applicable income distribution model: Pareto, logarithmically normal, logarithmically logistic, Dagum etc.…

General Finance · Quantitative Finance 2013-09-17 Dmitry Schmerling

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

A society or country with income equally distributed among its people is truly a fiction! The phenomena of socioeconomic inequalities have been plaguing mankind from times immemorial. We are interested in gaining an insight about the…

General Finance · Quantitative Finance 2018-08-07 Kiran Sharma , Subhradeep Das , Anirban Chakraborti

We propose a methodology to assess transportation accessibility inequity in metropolitan areas. The methodology is based on the classic analysis tools of Lorenz curves and Gini indices, but the novelty resides in the fact that it can be…

Computers and Society · Computer Science 2022-06-22 Amirhesam Badeanlou , Andrea Araldo , Marco Diana

Entropy is being used in physics, mathematics, informatics and in related areas to describe equilibration, dissipation, maximal probability states and optimal compression of information. The Gini index on the other hand is an established…

Physics and Society · Physics 2023-07-19 Tamás S. Biró , Zoltán Néda

Social inequality is traditionally measured by the Gini-index ($g$). The $g$-index takes values from $0$ to $1$ where $g=0$ represents complete equality and $g=1$ represents complete inequality. Most of the estimates of the income or wealth…

Physics and Society · Physics 2014-05-27 Asim Ghosh , Nachiketa Chattopadhyay , Bikas K. Chakrabarti

Classical measures of inequality use the mean as the benchmark of economic dispersion. They are not sensitive to inequality at the left tail of the distribution, where it would matter most. This paper presents a new inequality measurement…

Econometrics · Economics 2022-09-13 Mario Schlemmer

Social inequality is a topic of interest since ages, and has attracted researchers across disciplines to ponder over it origin, manifestation, characteristics, consequences, and finally, the question of how to cope with it. It is manifested…

Physics and Society · Physics 2015-09-30 Arnab Chatterjee , Asim Ghosh , Jun-ichi Inoue , Bikas K. Chakrabarti

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

The Lorenz curve portrays the inequality of income distribution. In this article, we develop three modified empirical likelihood (EL) approaches including adjusted empirical likelihood, transformed empirical likelihood, and transformed…

Methodology · Statistics 2023-11-27 Suthakaran Ratnasingam , Spencer Wallace , Imran Amani , Jade Romero

We formulate a flexible micro-to-macro kinetic model which is able to explain the emergence of income profiles out of a whole of individual economic interactions. The model is expressed by a system of several nonlinear differential…

Economics · Quantitative Finance 2016-11-28 Maria Letizia Bertotti , Giovanni Modanese

Grouped data in form of income shares have been conventionally used to estimate income inequality due to the lack of availability of individual records. Most prior research on economic inequality relies on lower bounds of inequality…

Applications · Statistics 2018-08-30 Vanesa Jorda , José María Sarabia , Markus Jäntti