This paper introduces in statistics the notion of the barycenter of the distribution of a non-negative random variable Y with a positive finite mean μY and the quantile function Q(x). The barycenter is denoted by μX and defined as the expected value of the random variable X having the...

Income inequality affects substantive outcomes such as redistribution and voter turnout. Nevertheless, a country's level of income inequality has a differential impact on citizens' evaluation of the same because individuals have different normative values about inequality. This paper shifts the...

The merger of populations expands the comparison space of incomes. As a result, measures of the income-based social stress and of the income inequality of the constituent populations need to be replaced by new measures. To this end, we develop a procedure for calculating the aggregate social...

This paper investigates the income inequality generated by a jobsearch process when different cohorts of homogeneous workers are allowed to have different degrees of impatience. Using the fact the average wage under the invariant Markovian distribution is a decreasing function of the discount...

Using the Standardized World Income Inequality Database, we examine if the KOF Index of Globalization and the Economic Freedom Index of the Fraser institute are related to within- country income inequality using panel data covering around 80 countries 1970-2005. Freedom to trade internationally...

This paper uses Lorenz Curve and Gini Index with adjustment to per capita historical cumulative emission and constructs Carbon Gini Index to measure inequality in climate change area. The analysis using Carbon Gini Index shows that 70% of carbon space in the atmosphere has been used for unequal...

Data insufficiency has become the primary factor affecting research on income disparity in China. To resolve this issue, this paper explores Chinese income distribution and income inequality using distribution functions. First, it examines 20 sets of grouped data on family income between 2005...

The Lorenz curve and Gini coefficient are applied here to measure and graph disproportionality in outcomes for multiseat elections held in 2017. The discussion compares Proportional Representation (PR) in Holland (PR Gini 3.6%) with District Representation (DR) in France (41.6%), UK (15.6%) and...

Income distribution has been a longstanding focus of social and economic interest, but never more so than in recent times. New metrics for disadvantage and spread enable a more precise differentiation of directional asymmetry and dispersion, drawing on an internal contextual perspective. The...