This paper proposes a four-parameter statistical model of the personalized distribution of income using the "income share elasticity" approach suggested by Esteban (1986). Our proposed model includes the Singh-Maddala (1976) and Dagum (1977) distributions as special cases. The generalized beta...

An index of richness in a society is a measure of the extent of its affluence. This paper presents an analytical discussion on several indices of richness and their properties. It also develops criteria for ordering alternative distributions of income in terms of their richness. Given a line of...