Inequality, Entropy and Goodness of Fit

Frank A. Cowell (1) , Emmanuel Flachaire (2) , Sanghamitra Bandyopadhyay (1)

1 STICERD
2 GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille

Specific functional forms are often used in economic models of distributions; goodness-of-fit measures are used to assess whether a functional form is appropriate in the light of real-world data. Standard approaches use a distance criterion based on the EDF, an aggregation of differences in observed and theoretical cumulative frequencies. However, an economic approach to the problem should involve a measure of the information loss from using a badly-fitting model. This would involve an aggregation of, for example, individual income discrepancies between model and data. We provide an axiomatisation of an approach and applications to illustrate its importance.

Mots clés: goodness of fit; discrepancy; income distribution; inequality measurement

Domaines: Economies et finances

Frank A. Cowell, Emmanuel Flachaire, Sanghamitra Bandyopadhyay. Inequality, Entropy and Goodness of Fit. 2011. ⟨halshs-00591077⟩