Characterizations of inequality orderings by means of dispersive orderings
ISSN: 0210-8054
Argitalpen urtea: 2002
Alea: 26
Zenbakia: 1-2
Orrialdeak: 15-28
Mota: Artikulua
Beste argitalpen batzuk: Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa
Laburpena
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