The distribution of gross income net of taxes and transfers - or equivalenty consumption - is generally considered a reasonable approximation of the distribution of well-being in the society. One typically observes differing trends in the distribution of gross incomes across countries or within...

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...

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...

This essay outlines the exact definition of “Equality” and “Inequality” in economics. The discussion moves forward to review concepts of ranking of orderings and methodology of constructing Indices of Inequality with an emphasis on Lorenz Orderings. We also discuss the possibility of...

Non-intersection of appropriately-defined Generalized Lorenz (GL) curves is equivalent to a unanimous ranking of distributions of ordinal data by all Cowell and Flachaire (Economica 2017) indices of inequality and by a new index based on GL curve areas. Comparisons of life satisfaction...

This paper introduces in statistics the notion of the barycenter of the distribution of a non-negative random variable and explores its relation with the Gini index, the concentration area, and the Gini’s mean difference. The introduction of the barycenter allows for new economic, geometrical,...

This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations Aaberge (2009) introduced two...

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...

In an important contribution in 1987, Atkinson and Bourguignon proposed dominance criteria which allow us to compare income distributions for heterogeneous populations. They are defined by the unanimous preference of the dominating distribution by a set of welfare functions which satisfy some...