Formes et propriétés des indices d'inégalité entre proportions

摘要

This article deals with the indexes which allow to compare the inequalities of proportions between two classes. After examining the properties which characterize the definition of inequality indexes between two proportions, it analyzes some other properties like coherence or homogeneity whose incompatibility is proved. It is concerned by different kinds of inequality indexes which are built on measures, distances, statistical measures of dispersion, Atkinson's indexes of Gini's coefficient. It studies the forms and the properties of these indexes and it shows the relationships between them. Finaly it deals with the qualitative comparisons of inequalities based on the Gini's concentrations functions.