Dispesion measures and dispersive orders
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DepartmentEstadística e Investigación Operativa
SourceStatistics and Probability Letters 61 (2003), 123-131
In this paper, the comparison of random variables according to the functionals of a general class of dispersion measures is characterized in terms of the dilation order. The Gini's mean difference is a particular member of this general class. In addition, a new and weaker order, called the second-order absolute Lorenz ordering, is introduced, and we judge random variables according to certain functionals of this class when the dilation order is not available.