The Lamé Class of Lorenz Curves.

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 in- dices. 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.

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 Fuente: Communications in Statistics. Theory and Methods, Vol. 46, nº 11.Accepted author version posted online:2014

Editorial: Taylor and Francis Ltd.

 Año de publicación: 2017

Nº de páginas: 26

Tipo de publicación: Artículo de Revista

DOI: 10.1080/03610926.2013.775306

ISSN: 0361-0926,1532-415X

Proyecto español: ECO2010-15455 ; AP-2010-4907

Url de la publicación: http://dx.doi.org/10.1080/03610926.2013.775306