Characterizations of inequality orderings by means of dispersive orderings

• Autores: Héctor Manuel Ramos Romero , Miguel Angel Sordo Díaz
• Localización: Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa, ISSN 0210-8054, Vol. 26, Nº. 1-2, 2002, págs. 15-28
• Idioma: inglés
• Títulos paralelos:
  • Caracterizaciones de ordenaciones en desigualdad por medio de ordenaciones dispersivas
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• Resumen

  • The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters