Benford's law, Zipf's law and the pore properties in solids

2020 ◽  
Vol 292 ◽  
pp. 109735
Author(s):  
Antigoni G. Margellou ◽  
Philippos J. Pomonis
PLoS ONE ◽  
2020 ◽  
Vol 15 (12) ◽  
pp. e0243123
Author(s):  
Adrian Patrick Kennedy ◽  
Sheung Chi Phillip Yam

In this article, we study the applicability of Benford’s law and Zipf’s law to national COVID-19 case figures with the aim of establishing guidelines upon which methods of fraud detection in epidemiology, based on formal statistical analysis, can be developed. Moreover, these approaches may also be used in evaluating the performance of public health surveillance systems. We provide theoretical arguments for why the empirical laws should hold in the early stages of an epidemic, along with preliminary empirical evidence in support of these claims. Based on data published by the World Health Organization and various national governments, we find empirical evidence that suggests that both Benford’s law and Zipf’s law largely hold across countries, and deviations can be readily explained. To the best of our knowledge, this paper is among the first to present a practical application of Zipf’s law to fraud detection.


2020 ◽  
Author(s):  
Ciprian Florin Pater ◽  
Deni Mazrekaj

Many economic regularities have been found to adhere to power laws. In this paper, we apply Benford’s law to consumer price index data from Norway and Zipf’s law on a Norwegian report about the history of Norwegian national accounts. Norway is a particularly interesting country to study as it scores among the highest-ranked countries on data quality. We find that the consumer price index adheres to Benford’s law, showing high data quality. On the other hand, our results do indicate that the report does not adhere to Zipf’s law.


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