Top Wealth is Distributed Weibull, Not Pareto

Working Paper: CEPR ID: DP18634

Authors: Coen Teulings; Simon Toussaint

Abstract: We study the shape of the global wealth distribution, using the Forbes List of Billionaires. We develop simple statistics based on ratios of log moments to test the default assumption of a Pareto distribution, which is strongly rejected. Hazard rates show that the log-transformed data instead follow a Gompertz distribution, which means that the data in levels follow a truncated-Weibull distribution. We further apply our model to the U.S. city size distribution and the U.S. firm size distribution. These distributions also show a rejection of Pareto in favor of (truncated-)Weibull. We discuss some theoretical and practical implications of our results.

Keywords: wealth distribution; city and firm size distribution; tail distributions

JEL Codes: D3; E2; G5


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Global wealth distribution among billionaires does not conform to Pareto distribution (D39)follows a truncated-Weibull distribution (C46)
Log-transformed data supports Gompertz distribution (C51)indicates wealth distribution is less skewed to the right than predicted by Pareto model (D39)
Weibull distribution provides a better fit for predicting mean wealth across various subregions (C46)compared to Pareto model (C52)
Weibull model can replace Pareto in many economic contexts (C59)implications for future research on wealth distribution and economic modeling (D30)

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