Characterizations of inequality orderings by means of dispersive orderings.

Héctor M. Ramos Romero; Miguel Angel Sordo Díaz

Qüestiió (2002)

  • Volume: 26, Issue: 1-2, page 15-28
  • ISSN: 0210-8054

Abstract

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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.

How to cite

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Ramos Romero, Héctor M., and Sordo Díaz, Miguel Angel. "Characterizations of inequality orderings by means of dispersive orderings.." Qüestiió 26.1-2 (2002): 15-28. <http://eudml.org/doc/40367>.

@article{RamosRomero2002,
abstract = {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.},
author = {Ramos Romero, Héctor M., Sordo Díaz, Miguel Angel},
journal = {Qüestiió},
keywords = {Teoría de la distribución; Estadísticos de orden; Curva de Lorenz; generalized Lorenz order; absolute Lorenz order; concave order; dilation order; economic welfare evaluation; generalized gamma distribution; data fitting and analysis of empirical and nominal income},
language = {eng},
number = {1-2},
pages = {15-28},
title = {Characterizations of inequality orderings by means of dispersive orderings.},
url = {http://eudml.org/doc/40367},
volume = {26},
year = {2002},
}

TY - JOUR
AU - Ramos Romero, Héctor M.
AU - Sordo Díaz, Miguel Angel
TI - Characterizations of inequality orderings by means of dispersive orderings.
JO - Qüestiió
PY - 2002
VL - 26
IS - 1-2
SP - 15
EP - 28
AB - 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.
LA - eng
KW - Teoría de la distribución; Estadísticos de orden; Curva de Lorenz; generalized Lorenz order; absolute Lorenz order; concave order; dilation order; economic welfare evaluation; generalized gamma distribution; data fitting and analysis of empirical and nominal income
UR - http://eudml.org/doc/40367
ER -

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