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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 concepts and models for measuring inequality in the distribution of resources with a focus on how inequality varies as a function of covariates. Lorenz introduced a device for measuring inequality in the distribution of income…

Statistics Theory · Mathematics 2008-12-02 Rolf Aaberge , Steinar Bjerve , Kjell Doksum

In this paper we will show that the Gini coefficient and the introduced measure of angular inequality are special cases of a wider indexed family of measurements. We will discuss the properties of the defined class based, inter alia, on a…

Methodology · Statistics 2015-06-02 Piotr Dniestrzanski

Income inequality estimators are biased in small samples, leading generally to an underestimation. This aspect deserves particular attention when estimating inequality in small domains and performing small area estimation at the area level.…

Methodology · Statistics 2026-01-23 Silvia De Nicolò , Maria Rosaria Ferrante , Silvia Pacei

Ratios of quantiles are often computed for income distributions as rough measures of inequality, and inference for such ratios have recently become available. The special case when the quantiles are symmetrically chosen; that is, when the…

Methodology · Statistics 2021-07-13 Luke A. Prendergast , Robert G. Staudte

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

This paper examines the properties of the Gini coefficient estimator for gamma mixture populations and reveals the presence of bias. In contrast, we show that sampling from a gamma distribution yields an unbiased estimator, consistent with…

Methodology · Statistics 2025-04-08 Roberto Vila , Helton Saulo

In 1938, Gini studied a mean having two parameters. Later, many authors studied properties of this mean. In particular, it contains the famous means as harmonic, geometric, arithmetic, etc. Here we considered a sequence of inequalities…

Information Theory · Computer Science 2011-11-04 Inder Jeet Taneja

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

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

The coefficient of variation, which measures the variability of a distribution from its mean, is not uniquely defined in the multidimensional case, and so is the multidimensional Gini index, which measures the inequality of a distribution…

Statistics Theory · Mathematics 2024-12-02 Gennaro Auricchio , Paolo Giudici , Giuseppe Toscani

Determining an upper bound, particularly the optimal upper bound of the Gini coefficient when dealing with grouped data without specified income brackets, remains an important and open question. In this paper, we introduce an efficient…

Methodology · Statistics 2025-01-15 Pixu Shi , Anru R. Zhang

For the comparison of inequality and welfare in multiple attributes the use of generalized Gini indices is proposed. Individual endowment vectors are summarized by using attribute weights and aggregated in a spectral social evaluation…

Applications · Statistics 2022-11-10 Karl Mosler

Originally developed for measuring the heterogeneity of wealth measures, inequality indices are quantitative scores that take values in the unit interval, with the zero score characterizing perfect equality. In this paper, we draw attention…

Physics and Society · Physics 2022-10-03 Giuseppe Toscani

We introduce the General Poverty Index (GPI), which summarizes most of the known and available poverty indices, in the form {equation*} GPI=\delta…

Methodology · Statistics 2012-08-21 Gane Samb Lo

This paper studies a class of rank-based inequality measures built from linear combinations of expected order statistics. The proposed framework unifies several well-known indices, including the classical Gini coefficient, the $m$th Gini…

Statistics Theory · Mathematics 2026-05-05 Roberto Vila , Helton Saulo

Modeling equity in the allocation of scarce resources is a fast-growing concern in the humanitarian logistics field. The Gini coefficient is one of the most widely recognized measures of inequity and it was originally characterized by means…

Optimization and Control · Mathematics 2021-06-25 Douglas Alem , Aakil M. Caunhye , Alfredo Moreno

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

Redistribution of resources within a group as a method to reduce wealth inequality is a current area of debate. The evolutionary path to or away from wealth sharing is also a subject of active research. In order to investigate effects and…

Physics and Society · Physics 2023-05-30 John C. Stevenson

Lorenz values and the Gini index are popular quantities in Mathematical Economics, and are used here in the context of quantum systems with finite-dimensional Hilbert space. They quantify the uncertainty in the probability distribution…

Quantum Physics · Physics 2020-08-26 A. Vourdas