The cross-sectional distribution of consumption is commonly approximated by the lognormal distribution. This note shows that consumption is better described by the double Pareto-lognormal distribution (dPlN), which has a lognormal body with two Pareto tails and arises as the stationary...

An evolutionary model of the bank size distribution is presented based on the exchange and creation of deposit money. In agreement with empirical results the derived size distribution is lognormal with a power law tail. The theory is based on the idea that the size distribution is the result of...

The empirical regularity known as Zipf’s law or the rank-size rule has motivated development of a theoretical literature to explain it. We examine the assumptions on consumer behavior, particularly about their inability to insure against the city-level productivity shocks, implicitly used in...

Using both regression analysis and an unsupervised graphical model approach (never applied before to this issue), we confirm the rejection of the Gibrat's law when our firm-level data are considered over the entire investigated period, while the opposite is true when we allow for market...