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We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

凝聚态物理 · 物理学 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

In the manuscript, we are interested in using kinetic theory to better understand the time evolution of wealth distribution and their large scale behavior such as the evolution of inequality (e.g. Gini index). We investigate three type of…

概率论 · 数学 2021-05-18 Fei Cao , Sebastien Motsch

We develop inference procedures for longitudinal data where some of the measurements are censored by fixed constants. We consider a semi-parametric quantile regression model that makes no distributional assumptions. Our research is…

统计理论 · 数学 2009-04-02 Huixia Judy Wang , Mendel Fygenson

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…

统计理论 · 数学 2021-06-08 Meng Yuan , Pengfei Li , Changbao Wu

We propose a summary measure defined as the expected value of a random variable over disjoint subsets of its support that are specified by a given grid of proportions, and consider its use in a regression modeling framework. The obtained…

统计理论 · 数学 2018-10-19 Celia García-Pareja , Matteo Bottai

A mathematical model of measurement of the perception of well-being for groups with increasing incomes, but proportionally unequal is proposed. Assuming that welfare grows with own income and decreases with relative inequality (income of…

综合经济学 · 经济学 2019-11-27 Fernando Córdova-Lepe

This paper develops semiparametric methods for estimation and inference of widely used inequality measures when survey data are subject to nonignorable nonresponse, a challenging setting in which response probabilities depend on the…

计量经济学 · 经济学 2026-01-16 Xinyu Wang , Chunlin Wang , Tao Yu , Pengfei Li

We consider parameter inference for linear quantile regression with non-stationary predictors and errors, where the regression parameters are subject to inequality constraints. We show that the constrained quantile coefficient estimators…

统计方法学 · 统计学 2024-04-08 Yuan Sun , Zhou Zhou

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of…

生物物理 · 物理学 2023-03-16 Vladimir Pokrovskii

In this paper we derive inferential results for a new index of inequality, specifically defined for capturing significant changes observed both in the left and in the right tail of the income distributions. The latter shifts are an apparent…

统计理论 · 数学 2017-06-20 Youri Davydov , Francesca Greselin

A growing number of applications involve settings where, in order to infer heterogeneous effects, a researcher compares various units. Examples of research designs include children moving between different neighborhoods, workers moving…

计量经济学 · 经济学 2024-04-03 Stephane Bonhomme , Angela Denis

There is growing interest in designing recommender systems that aim at being fair towards item producers or their least satisfied users. Inspired by the domain of inequality measurement in economics, this paper explores the use of…

信息检索 · 计算机科学 2023-03-29 Virginie Do , Nicolas Usunier

Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

统计理论 · 数学 2012-05-14 Peter M. Robinson

We develop an axiomatic framework to evaluate income distributions from the perspective of an opportunity-egalitarian social planner. Building on a formal link with the literature on decision theory under ambiguity, we characterize a class…

理论经济学 · 经济学 2026-03-31 T. Wienand , B. Magdalou , R. Nock , P. Hufe

Circular variables arise in a multitude of data-modelling contexts ranging from robotics to the social sciences, but they have been largely overlooked by the machine learning community. This paper partially redresses this imbalance by…

机器学习 · 统计学 2017-08-10 Alexandre K. W. Navarro , Jes Frellsen , Richard E. Turner

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…

综合金融 · 定量金融 2013-01-29 Maciej Jagielski , Ryszard Kutner

The classical concept of inequality curves and measures is extended to conditional inequality curves and measures and a curve of conditional inequality measures is introduced. This extension provides a more nuanced analysis of inequality in…

统计理论 · 数学 2025-04-23 Alicja Jokiel-Rokita , Sylwester Piątek , Rafał Topolnicki

Although models for count data with over-dispersion have been widely considered in the literature, models for under-dispersion -- the opposite phenomenon -- have received less attention as it is only relatively common in particular research…

This work studies the impact of economic inequality on the evolution of intolerance through a reputation-based model of indirect reciprocity. Results show that economic inequality is a powerful enhancer of intolerance, inducing the…

物理与社会 · 物理学 2024-01-17 Luis A. Martinez-Vaquero

We propose a method for inference in generalised linear mixed models (GLMMs) and several extensions of these models. First, we extend the GLMM by allowing the distribution of the random components to be non-Gaussian, that is, assuming an…

统计方法学 · 统计学 2021-07-27 Jeanett S. Pelck , Rodrigo Labouriau