The classical Lorenz curve visualizes and measures the disparity of items which are characterized by a single variable: The more the curve bends, the more scatter the data. Recently a general approach has been proposed and investigated that measures the disparity of multidimensioned items regardless of their dimension. This paper surveys various generalizations of Lorenz curve and Lorenz domina...

The Lorenz manifold is an intriguing two-dimensional surface that illustrates chaotic dynamics in the well-known Lorenz system. While it is not possible to find the Lorenz manifold as an explicit analytic solution, we have developed a method for calculating a numerical approximation that builds the surface up as successive geodesic level sets. The resulting mesh approximation can be read as cro...

The appeal of the Lorenz dominance criterion is undermined by the fact that many sample Lorenz curves intersect in the tails. Tests for Lorenz dominance which ignore tails (such as those considering only deciles) are therefore invalidated. Moreover, the usual inferential methods, based on central limit theorem arguments, do not apply to the tails of the Lorenz curve since the tails contain too ...

In the modern society and specially in our country discussion of poverty, wealth and social justice are the most important arguments of public and private circles. The most important graphical tools which are used to describe the quantity of centralization like wealth in a society is Lorenz curve. In these situations, most of econometricians measure the economic inequalities. In the discrete ca...

equity in access to and utilization of health services is a common goal of policy-makers in most countries. the fair allocation of human resources is one of the dimensions of equity, which was evaluated in this study.we evaluated the equity of human resources' distribution among iran's medical science universities between 2005 and 2009 by inequality measures including lorenze curve, gini coeffi...

The most common data source on income distribution in China is grouped data. When income data is in grouped form, some acceptable Lorenz model is needed to approximate the underlying Lorenz curve. This paper presents a new family of Lorenz curves and shows that the main model of our proposed family of Lorenz curves outperforms other popular Lorenz curve models using data on US income distributi...

In contemporary research, neural networks are being used to derive Ordinary Differential Equations (ODEs) from observations. However, parameterized ODEs pose a more significant challenge than non-parameterized since the required understand roles of parameters, i.e., structure equations. This paper proposes novel approach by combining Symbolic Neural Network (S-Net) with ODE Solver solve this is...