Comment on “A statistical evidence of power law distribution in the upper tail of world billionaires’ data 2010–20” [Physica A 581 (2021) 126198]

In a recently published paper in Physica A it is claimed the statistical evidence of having a power law distribution in the upper tail of the world billionaires’ data in the period 2010–20. We address (almost) the same data sets, with the same truncation points in the data, and obtain two main conclusions. Firstly, both the truncated lognormal and the power law or Pareto distributions might be improved in principle to describe the upper tails’ data to the level of quality of recent studies for other types of data, as the Anderson–Darling test yields rejection of both distributions almost always. Secondly, the truncated lognormal is statistically comparable or even better to the Pareto by different criteria, formal and graphical.