We examine the relationship between changes in a country’s public sector fiscal position and inequality at the top and bottom of the income distribution during the age of austerity (2006–13). We use a parametric Lorenz curve model and Gini-like indices of inequality as our measures to assess...

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...

Similar looking Lorenz Curves can imply very different income density functions and potentially lead to wrong policy implications regarding inequality. This paper derives a relation between a Lorenz Curve and the modality of its underlying income density: Given a parametric Lorenz Curve, it is...

Index of refraction is found to be a good measure of economic inequality within the Lorenz curve framework. It has origin in geometrical optics, where it measures bending of a ray of light passing from one transparent medium into another. As light refracts according to characteristics of...

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...

We examine the relationship between changes in a country's public sector fiscal position and inequality at the top and bottom of the income distribution during the age of austerity (2006-13). We use a parametric Lorenz curve model and Gini-like indices of inequality as our measures to assess...

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...

Redistribution schemes (taxes or benefits) are generally performed at the household level. The issue is to know whether intra-household inequality magnifies or hampers the redistributive effect of the transfers, when the policy-maker focuses on the inequality at the individual level. Depending...