An ideal state of development, when viewed with fantasy, is nothing but a state or condition where light touches everybody without refraction. The diagonal line of the Lorenz Curve Framework represents such an ideal condition. In the presence of inequality, however, it deviates or refracts from...

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...