ABSTRACT
In this paper a new kind of Lorenz curves based on the exponential linear asymmetric loss function is introduced. We shall begin with the basic biparametric curve , and we shall build a hierarchy of Lorenz curves with an increasing number of parameters according to the method proposed by Sarabia, Castillo and Slottje.Citation[1] The family is very flexible and the convexity conditions will be easy to check. A variety of properties are analysed, including Lorenz orderings, population functions and inequality measures. Fitting and estimation methods are proposed. Finally, an application is presented for data from various countries.
ACKNOWLEDGMENTS
We thank the Ministerio de Ciencia y Tecnología, project BEC2000-1186, for partial support of this work. Comments by two anonymous referees have improved the paper.