In this paper, we develop and numerically solve a model of idiosyncratic labour income and idiosyncratic interest rates to predict the evolution of a wealth distribution over time. Stochastic labour income follows a deterministic growth trend and it fluctuates between a wage and unemployment...

Labour income follows a deterministic growth trend and fluctuates between two values. Interest rates are drawn initially, fluctuate between two values and can differ in their arrival rates. Low interest rates imply a stationary long-run wealth distribution, high interest rates imply exploding...

We study a small open economy displaying Pareto-distributed wealth resulting from random death. The government runs a distribution scheme on inheritance. We present the mathematical background that allows to study the dynamics of means. We end up with ordinary differential equations for the mean...

In a series of papers in the 1970s, Camilo Dagum proposed several variants of a new model for the size distribution of personal income. This Chapter traces the genesis of the Dagum distributions in applied economics and points out parallel developments in several branches of the applied...

This paper surveys selected applications of the Lorenz curve and related stochastic orders in economics and econometrics, with a bias towards problems in statistical distribution theory. These include characterizations of income distributions in terms of families of inequality measures, Lorenz...

The Benini distribution is a lognormal-like distribution generalizing the Pareto distribution. Like the Pareto and the lognormal distributions it was originally proposed for modeling economic size distributions, notably the size distribution of personal income. This paper explores a...