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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

Given many popular functional forms for the Lorenz curve do not have a closed-form expression for the Gini index and no study has utilized the observed Gini index to estimate parameter(s) associated with the corresponding parametric…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot , Kanyarat Holasut

In small area estimation different data sources are integrated in order to produce reliable estimates of target parameters (e.g., a mean or a proportion) for a collection of small subsets (areas) of a finite population. Regression models…

Methodology · Statistics 2024-05-31 Enrico Fabrizi , Nicola Salvati , Martin Slawski

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…

Statistics Theory · Mathematics 2017-06-20 Youri Davydov , Francesca Greselin

We investigate the arithmetic-harmonic inequality (AHI) index, a bounded and scale-invariant measure of dispersion for positive random variables, defined through the interplay between the mean and its reciprocal. We derive analytical…

Methodology · Statistics 2026-05-05 Roberto Vila , Helton Saulo

The objective of this work is to propose an asymptotic correction method for the estimators of parameters from regression models with covariates subject to classification errors. A correction was developed based on the least squares…

Methodology · Statistics 2025-07-11 Alexandre Garcia Dias , Mariana Rodrigues Motta , Alexandre Hild Aono

Estimating income distributions plays an important role in the measurement of inequality and poverty over space. The existing literature on income distributions predominantly focuses on estimating an income distribution for a country or a…

Methodology · Statistics 2019-07-04 Shonosuke Sugasawa , Genya Kobayashi , Yuki Kawakubo

Next location prediction underpins a growing number of mobility, retail, and public-health applications, yet its societal impacts remain largely unexplored. In this paper, we audit state-of-the-art mobility prediction models trained on a…

Machine Learning · Computer Science 2025-11-03 Ashwin Kumar , Hanyu Zhang , David A. Schweidel , William Yeoh

The bias of an estimator is defined as the difference of its expected value from the parameter to be estimated, where the expectation is with respect to the model. Loosely speaking, small bias reflects the desire that if an experiment is…

Methodology · Statistics 2018-02-16 Ioannis Kosmidis

The Gini coefficient is an universally used measurement of income inequality. Intersectoral GDP contributions reveal the economic development of different sectors of the national economy. Linking intersectoral GDP contributions to Gini…

Methodology · Statistics 2024-05-14 Jingcheng Meng , Yimeng Ren , Xuening Zhu , Guanyu Hu

Statistical evaluations of the economic mobility of a society are more difficult than measurements of the income distribution, because they require to follow the evolution of the individuals' income for at least one or two generations. In…

Economics · Quantitative Finance 2016-11-01 Maria Letizia Bertotti , Giovanni Modanese

A commonly observed pattern in machine learning models is an underprediction of the target feature, with the model's predicted target rate for members of a given category typically being lower than the actual target rate for members of that…

Machine Learning · Computer Science 2023-07-06 Owen O'Neill , Fintan Costello

Measuring average differences in an outcome across racial or ethnic groups is a crucial first step for equity assessments, but researchers often lack access to data on individuals' races and ethnicities to calculate them. A common solution…

Methodology · Statistics 2024-03-12 Benjamin Lu , Jia Wan , Derek Ouyang , Jacob Goldin , Daniel E. Ho

In numerous regular statistical models, median bias reduction (Kenne Pagui et al., 2017) has proven to be a noteworthy improvement over maximum likelihood, alternative to mean bias reduction. The estimator is obtained as solution to a…

Methodology · Statistics 2020-12-01 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori

Intra-household inequality continues to remain a neglected corner despite renewed focus on income and wealth inequality. Using the LIS micro data, we present evidence that this neglect is equivalent to ignoring up to a third of total…

General Finance · Quantitative Finance 2016-08-31 Deepak Malghan , Hema Swaminathan

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…

Econometrics · Economics 2026-01-16 Xinyu Wang , Chunlin Wang , Tao Yu , Pengfei Li

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

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

The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different countries and other groups. The sample estimates of these…

Statistics Theory · Mathematics 2017-02-01 Luke A. Prendergast , Robert G. Staudte

In classification tasks, the long-tailed minority classes usually offer the predictions that are most important. Yet these classes consistently exhibit low accuracies, whereas a few high-performing classes dominate the game. We pursue a…

Machine Learning · Computer Science 2026-03-18 Ruixi Lin