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Formes et propriétés des indices d'inégalité entre proportions

Forms and properties of inequalities indexes between proportions
Antoine Valeyre


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.

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Electronic reference

Antoine Valeyre, “Formes et propriétés des indices d'inégalité entre proportions”Mathématiques et sciences humaines [Online], 132 | Hiver 1995, Online since 10 February 2006, connection on 23 July 2021. URL:; DOI:

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About the author

Antoine Valeyre

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© École des hautes études en sciences sociales

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