4 papers · 1 filter
Zipf's Law for Atlas Models
Ricardo T. Fernholz, Robert Fernholz
A set of data with positive values follows a Pareto distribution if the log-log plot of value versus rank is approximately a straight line. A Pareto distribution satisfies Zipf's l…
A Rank-Based Approach to Zipf's Law
Ricardo T. Fernholz, Robert Fernholz
An Atlas model is a rank-based system of continuous semimartingales for which the steady-state values of the processes follow a power law, or Pareto distribution. For a power law,…
Empirical Methods for Dynamic Power Law Distributions in the Social Sciences
Ricardo T. Fernholz
This paper introduces nonparametric econometric methods that characterize general power law distributions under basic stability conditions. These methods extend the literature on p…
A Statistical Model of Inequality
Ricardo T. Fernholz
This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new tech…