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Accurate modeling is essential in integer-valued real phenomena, including the distribution of entire data, zero-inflated (ZI) data, and discrete exceedances. The Poisson and Negative Binomial distributions, along with their ZI variants,…

Methodology · Statistics 2025-10-20 Touqeer Ahmad , Irshad Ahmad Arshad

The sustainability of cooperation is crucial for understanding the progress of societies. We study a repeated game in which individuals decide the share of their income to transfer to other group members. A central feature of our model is…

General Economics · Economics 2025-10-31 Pau Juan-Bartroli , Esteban Muñoz-Sobrado

This papers aims to establish the empirical relationship between income, net wealth and their joint distribution in a selected group of euro area countries. I estimate measures of dependence between income and net wealth using a…

General Economics · Economics 2023-04-28 Anna Stelzer

Income inequality between different races in the U.S. is especially large. This difference is even larger when gender is involved. In a complementary study, we have developed a dynamic microeconomic model accurately describing the evolution…

General Finance · Quantitative Finance 2020-07-14 Ivan Kitov

We present a detailed numerical analysis of the modified version of a conservative self-organized extremal model introduced by Pianegonda et. al. for the distribution of wealth of the people in a society. Here the trading process has been…

General Finance · Quantitative Finance 2015-05-30 Abhijit Chakraborty , G. Mukherjee , S. S. Manna

Univariate normal regression models are statistical tools widely applied in many areas of economics. Nevertheless, income data have asymmetric behavior and are best modeled by non-normal distributions. The modeling of income plays an…

Methodology · Statistics 2022-07-15 Helton Saulo , Roberto Vila , Giovanna V. Borges , Marcelo Bourguignon

Heavy-tailed distributions are infamously difficult to estimate because their moments tend to infinity as the shape of the tail decay increases. Nevertheless, this study shows the utilization of a modified group of moments for estimating a…

Methodology · Statistics 2025-07-31 Amenah AL-Najafi , Ugur Tirnakli , Kenric P. Nelson

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

Income and wealth allocation are foundational components of how economies operate. These are complex distributions, and it is hard to get a real sense for their dynamics using simplifications like average or median. One metric that…

General Economics · Economics 2023-04-21 Dave Costenaro

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

This paper proposes a new Bayesian approach to estimate the Gini coefficient from the Lorenz curve based on grouped data. The proposed approach assumes a hypothetical income distribution and estimates the parameter by directly working on…

Applications · Statistics 2017-08-10 Genya Kobayashi , Kazuhiko Kakamu

The evolution of Gini coefficient for personal incomes in the USA between 1947 and 2005 is analyzed and modeled. There are several versions of personal income distribution (PID) provided by the US Census Bureau (US CB) for this period with…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

In this survey we present an extensive research of the vast literature about the Generalized Lambda Distribution (GLD) and propose a hurdle, or two-way, model whose associated distribution is the GLD in order to meet the demand for a highly…

Applications · Statistics 2019-01-04 Diego Marcondes , Cláudia Peixoto , Ana Carolina Maia

We examine the effects of monetary policy on income inequality in Japan using a novel econometric approach that jointly estimates the Gini coefficient based on micro-level grouped data of households and the dynamics of macroeconomic…

Econometrics · Economics 2022-10-04 Martin Feldkircher , Kazuhiko Kakamu

We consider a Ramsey model with several households with heterogeneous preferences who are able to borrow capital to each other. Since the capital constraints of one household then depends on the others' capital, one can no longer optimize…

Optimization and Control · Mathematics 2019-09-04 L. Frerick , G. Müller-Fürstenberger , E. W. Sachs , L. Somorowsky

Using monthly Patreon earnings, we quantify how platform attention algorithms shape earnings concentration across creator economies. Patreon is a tool for creators to monetize additional content from loyal subscribers but offers little…

General Economics · Economics 2025-11-27 Ilan Strauss , Jangho Yang , Mariana Mazzucato

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

General Finance · Quantitative Finance 2015-05-27 Anindya S. Chakrabarti

Using the empirical data from the Norwegian tax office, we analyse the wealth and income of the richest individuals in Norway during the period 2010--2013. We find that both annual income and wealth level of the richest individuals are…

General Finance · Quantitative Finance 2017-03-08 Maciej Jagielski , Kordian Czyżewski , Ryszard Kutner , H. Eugene Stanley

We have numerically simulated the ideal-gas models of trading markets, where each agent is identified with a gas molecule and each trading as an elastic or money-conserving two-body collision. Unlike in the ideal gas, we introduce…

Statistical Mechanics · Physics 2009-11-10 Arnab Chatterjee , Bikas K. Chakrabarti , S. S. Manna

In extreme value statistics, the peaks-over-threshold method is widely used. The method is based on the generalized Pareto distribution characterizing probabilities of exceedances over high thresholds in $\mathbb {R}^d$. We present a…

Probability · Mathematics 2014-10-17 Ana Ferreira , Laurens de Haan