The Pareto law of incomes—an explanation and an extension

A stochastic model for the generation of observed income distributions is used to provide an explanation for the Pareto law of incomes. Analysis of the model also yields a prediction of Paretian (power law) behaviour in the lower tail of the distribution and this is shown to occur in a number of empirical distributions. A tractable four-parameter distribution is derived, and shown to fit extremely well to a number of different empirical income distributions.