@article{10902/9703,
year = {2017},
url = {http://hdl.handle.net/10902/9703},
abstract = {In this paper, the class of Lamé Lorenz curves is studied. This family has the advantage of modeling inequality with a single parameter. The family has a double motivation: it can be obtain from an economic model and from simple transformations of classical Lorenz curves. The underlying cumulative distribution functions have a simple closed form, and correspond to the Singh-Maddala and Dagum distributions, which are well known in the economic literature. The Lorenz order is studied and several inequality and polarization measures are obtained, including Gini, Donaldson-Weymark-Kakwani, Pietra and Wolfson indices. Some extensions of the Lamé family are obtained. Fitting and estimation methods under two different data configuration are proposed. Empirical applications with real data are given. Finally, some relationships with other curves are included.},
organization = {The authors thank to Ministerio de Econom  a y Competitividad, project
ECO2010-15455, for partial support. The second author thanks to the Ministerio
de Educaci on (FPU AP-2010-4907) for partial support. We are grateful
for the constructive suggestions provided by the reviewers, which improved
the paper.},
publisher = {Taylor and Francis Ltd.},
publisher = {Communications in Statistics. Theory and Methods, Theory and Methods on 2017, 46 (11), 5311-5326},
title = {The lamé class of Lorenz Curves.},
author = {Sarabia Alegría, José María and Jordá, Vanesa and Trueba Salas, Carmen},
}