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Using both single-index measures and stochastic dominance concepts, we show how Bayesian inference can be used to make multivariate welfare comparisons. A four-dimensional distribution for the well-being attributes income, mental health,…

Econometrics · Economics 2024-06-21 David Gunawan , William Griffiths , Duangkamon Chotikapanich

We develop a Bayesian state-space model for analyzing the dynamic evolution of income distributions using grouped income data. The model combines the generalized beta distribution of the second kind (GB2) with latent time-varying parameters…

Econometrics · Economics 2026-05-19 Kazuhiko Kakamu

We propose models and algorithms for learning about random directions in simplex-valued data. The models are applied to the study of income level proportions and their changes over time in a geostatistical area. There are several notable…

Methodology · Statistics 2023-11-01 Rayleigh Lei , XuanLong Nguyen

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

Analysing age-specific mortality, fertility, and migration patterns is a crucial task in demography with significant policy relevance. In practice, such analysis is challenging when studying a large number of subpopulations, due to small…

Applications · Statistics 2025-05-29 Gregor Zens

Each individual in society experiences an evolution of their income during their lifetime. Macroscopically, this dynamics creates a statistical relationship between age and income for each society. In this study, we investigate income…

General Economics · Economics 2022-02-01 Fatih Ozhamaratli , Oleg Kitov , Paolo Barucca

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

In the present paper, we identify several distributions from Physics and study their applicability to phenomena such as distribution of income, wealth, and expenditure. Firstly, we apply logistic distribution to these data and we find that…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean

We investigate the wealth evolution in a system of agents that exchange wealth through a disordered network in presence of an additive stochastic Gaussian noise. We show that the resulting wealth distribution is shaped by the degree…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , S. T. Hyde

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

Theoretical Economics · Economics 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

Understanding the statistical dynamics of growth and inequality is a fundamental challenge to ecology and society. Recent analyses of wealth and income dynamics in contemporary societies show that economic inequality is very dynamic and…

Physics and Society · Physics 2022-10-19 Jordan T. Kemp , Luis M. A. Bettencourt

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Empirical welfare analyses often impose stringent parametric assumptions on individuals' preferences and neglect unobserved preference heterogeneity. We develop a framework to conduct individual and social welfare analysis for discrete…

Theoretical Economics · Economics 2025-05-20 Bart Capéau , Liebrecht De Sadeleer , Sebastiaan Maes

We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

Computer Science and Game Theory · Computer Science 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

We propose models and algorithms for learning about random directions in two-dimensional simplex data, and apply our methods to the study of income level proportions and their changes over time in a geostatistical area. There are several…

Methodology · Statistics 2022-05-24 Rayleigh Lei , XuanLong Nguyen

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…

Theoretical Economics · Economics 2026-03-31 T. Wienand , B. Magdalou , R. Nock , P. Hufe

We propose a generic Bayesian framework for inference in distributional regression models in which each parameter of a potentially complex response distribution and not only the mean is related to a structured additive predictor. The latter…

Applications · Statistics 2015-09-18 Nadja Klein , Thomas Kneib , Stefan Lang , Alexander Sohn

Demographic and health indicators may exhibit short or large short-term shocks; for example, armed conflicts, epidemics, or famines may cause shocks in period measures of life expectancy. Statistical models for estimating historical trends…

Methodology · Statistics 2024-10-15 Herbert Susmann , Leontine Alkema

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

General Finance · Quantitative Finance 2017-05-03 M. L. Bertotti , G. Modanese

We extend the exploration regarding dynamical approach of macroeconomic variables by tackling systematically expenditure using Statistical Physics models (for the first time to the best of our knowledge). Also, using polynomial distribution…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev
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