In this paper, we propose to use the so-called Sen-Shorrocks poverty index (Shorrocks, 1995) to measure multidimensional deprivation when only dichotomous variables are available to assess deprivation in the various deprivation domains, the most common case in the literature, and introduce a...

The Gini index is the most widely accepted inequality measure across the Globe, with almost all governmental and international agencies using it to summarise income or wealth inequality in a nation or the world. Although originally developed to be a standardised measure of statistical dispersion...

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...

Recent insights from the philosopher Larry Temkin have suggested a new basis for the measurement of income inequality, founded on the notion of individual complaints about income distribution. Under certain specifications of the relationship between complaints and personal incomes it can be...

Latin American countries are generally characterized as displaying high income and earnings inequality overall along with high inequality by gender, race, and ethnicity. However, the latter phenomenon is not a major contributor to the former phenomenon. Using household survey data from four...