Characterizations of inequality orderings by means of dispersive orderings

  1. Ramos Romero, Héctor Manuel
  2. Sordo Díaz, Miguel Angel
Revista:
Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa

ISSN: 0210-8054

Any de publicació: 2002

Volum: 26

Número: 1-2

Pàgines: 15-28

Tipus: Article

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Altres publicacions en: Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa

Resum

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

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