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The Gini index is a popular inequality measure with many applications in social and economic studies. This paper studies semiparametric inference on the Gini indices of two semicontinuous populations. We characterize the distribution of…

Statistics Theory · Mathematics 2021-06-08 Meng Yuan , Pengfei Li , Changbao Wu

Over the last decades, the distribution of income and wealth has been deteriorating in many countries, leading to increased inequalities within and between societies. This tendency has revived the interest in the subject greatly, yet it…

General Finance · Quantitative Finance 2017-09-22 F. Clementi , M. Gallegati

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 propose a new framework for the modelling of count data exhibiting zero inflation (ZI). The main part of this framework includes a new and more general parameterisation for ZI models which naturally includes both over- and…

Methodology · Statistics 2018-05-03 John Haslett , Andrew Parnell , James Sweeney

Multilateral index numbers are often used to make claims about welfare, such as treating PPPs as cross-country costs of living or real incomes as indicators of living standards. However, such interpretations may not be consistent with the…

General Economics · Economics 2025-12-11 Hubert Wu

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

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

Physics and Society · Physics 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

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

Using images containing information on wealth, this research investigates that pictures are capable of reliably predicting the economic prosperity of households. Without surveys on wealth-related information and human-made standard of…

General Economics · Economics 2022-07-01 Jeonggil Song

The underlying idea behind the construction of indices of economic inequality is based on measuring deviations of various portions of low incomes from certain references or benchmarks, that could be point measures like population mean or…

Methodology · Statistics 2015-08-04 Francesca Greselin , Ricardas Zitikis

The evolution of global income distribution from 1988 to 2018 is analyzed using purchasing power parity exchange rates and well-established statistical distributions. This research proposes the use of two separate distributions to more…

General Economics · Economics 2025-12-16 J. D. A. Islas-García , M. del Castillo-Mussot , Marcelo B. Ribeiro

In the analysis of poverty and social exclusion, indicators of living conditions are some interesting non-monetary complements to the usual measurements in terms of current or annual income. Living conditions depend in fact on longer term…

Statistics Theory · Mathematics 2007-06-13 Sophie Ponthieux , Marie Cottrell

Social inequalities are ubiquitous and evolve towards a universal limit. Herein, we extensively review the values of inequality measures, namely the Gini ($g$) index and the Kolkata ($k$) index, two standard measures of inequality used in…

Physics and Society · Physics 2023-05-03 Suchismita Banerjee , Soumyajyoti Biswas , Bikas K. Chakrabarti , Asim Ghosh , Manipushpak Mitra

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

We propose a highly schematic economic model in which, in some cases, wage inequalities lead to higher overall social welfare. This is due to the fact that high earners can consume low productivity, non essential products, which allows…

General Economics · Economics 2020-04-22 Jean-Philippe Bouchaud

Poverty is a multifaceted phenomenon linked to the lack of capabilities of households to earn a sustainable livelihood, increasingly being assessed using multidimensional indicators. Its spatial pattern depends on social, economic,…

Computation and Language · Computer Science 2023-04-28 Atharva Kulkarni , Raya Das , Ravi S. Srivastava , Tanmoy Chakraborty

Politicians world-wide frequently promise a better life for their citizens. We find that the probability that a country will increase its {\it per capita} GDP ({\it gdp}) rank within a decade follows an exponential distribution with decay…

General Finance · Quantitative Finance 2012-09-14 Boris Podobnik , Davor Horvatic , Dror Y. Kenett , H. Eugene Stanley

In this paper, we propose two new flexible Gini indices (extended lower and upper) defined via differences between the $i$-th observation, the smallest order statistic, and the largest order statistic, for any $1 \leqslant i \leqslant m$.…

Methodology · Statistics 2025-06-03 Roberto Vila , Helton Saulo

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

Herein, we applied statistical physics to study incomes of three (low-, medium- and high-income) society classes instead of the two (low- and medium-income)classes studied so far. In the frame of the threshold nonlinear Langevin dynamics…

General Finance · Quantitative Finance 2013-01-29 Maciej Jagielski , Ryszard Kutner
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