The aim of this paper is to assess the evolution of multidimensional inequality in well-being using Lorenz curves. Closed expressions for the bivariate Lorenz curve defined by Arnold (1983) are given. We assume a relevant type of models based on the class of distributions with given marginals described by Sarmanov and Lee (Lee, 1996; Sarmanov, 1966). This specification of the bivariate Lorenz c...

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 ...

CT ED P RO O Abstract The Lorenz curve is a universally calibrated statistical tool measuring quantitatively the distribution of wealth within human populations. We consider infinite random populations modeled by inhomogeneous Poisson processes defined on the positive half-line—the randomly scattered process-points representing the wealth of the population-members (or any other positive-valued ...

We report measurements of the Lorentz-Lorenz coefficient density dependence L(rho), the critical temperature Tc, and the critical density rho c of the fluid 1,1-difluoroethylene H2C2F2. Lorentz-Lorenz coefficient data were obtained by measuring refractive index n, and density rho of the same fluid sample independently of one another. Accurate determination of the Lorentz-Lorenz coefficient is n...

Sarabia et al. (1999) present a basic model to create ordered families of Lorenz curves, along with basic theorems that describe the conditions for the models to satisfy the definition of the Lorenz curve. Using these basic models, they suggest a family which includes several well-known Lorenz models as special cases. This paper first shows that their basic theorems can be generalized. The pape...

This paper introduces weighted Lorenz curves of a continuous variable, extending the discrete theory as well as the non-weighted continuous model. Using publication scores (in function of time) as the weights and citation scores (in function of time) as the dependent variables, we can construct an "impact Lorenz curve" in which one can read the value of any fractional impact factor, i.e. an imp...