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arXiv:1304.0212q-fin.ST

Do wealth distributions follow power laws? Evidence from "rich lists"

Michal Brzezinski

Abstract

We use data on wealth of the richest persons taken from the "rich lists" provided by business magazines like Forbes to verify if upper tails of wealth distributions follow, as often claimed, a power-law behaviour. The data sets used cover the world's richest persons over 1996-2012, the richest Americans over 1988-2012, the richest Chinese over 2006-2012 and the richest Russians over 2004-2011. Using a recently introduced comprehensive empirical methodology for detecting power laws, which allows for testing goodness of fit as well as for comparing the power-law model with rival distributions, we find that a power-law model is consistent with data only in 35% of the analysed data sets. Moreover, even if wealth data are consistent with the power-law model, usually they are also consistent with some rivals like the log-normal or stretched exponential distributions.

arXiv comments
17 pages, 6 figures, 1 table, 1 appendix
Journal reference
DOI
doi:10.1016/j.physa.2014.03.052
Subjects
q-fin.STStatistical Finance physics.soc-phPhysics and Society stat.APApplications (Statistics)

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Discussed in comments3 threads

    • What I'd like to see more in these articles is an acknowledgement of how power laws work (or perhaps log-normal distributions or stretched exponential distributions https://arxiv.org/abs/1304.0212).

      defertoreptarView on HNParent context

    • A key purpose of the original paper is to inform policy to improve public funding of research [1]. Thus, to a first-order approximation, it should reflect realities. However, ... The number of lucky and unlucky events in the paper (figure 5, page 8) are each around 5-7 events…

      nopinsightView on HNParent context

    • Correction for above: Each factor needs not be normally distributed, just independent. Evidence that suggests Log-Normal is at least as plausible as Power Law as a model for wealth distribution: "Using recently developed empirical methodology for detecting power-law behaviour…

      nopinsightView on HNParent context

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