The mathematics of Benford’s law: a primer

@article{Berger2020TheMO,
  title={The mathematics of Benford’s law: a primer},
  author={Arno Berger and Theodore P. Hill},
  journal={Statistical Methods \& Applications},
  year={2020},
  pages={1-17}
}
  • A. Berger, T. Hill
  • Published 17 September 2019
  • Mathematics
  • Statistical Methods & Applications
This article provides a concise overview of the main mathematical theory of Benford’s law in a form accessible to scientists and students who have had first courses in calculus and probability. In particular, one of the main objectives here is to aid researchers who are interested in applying Benford’s law, and need to understand general principles clarifying when to expect the appearance of Benford’s law in real-life data and when not to expect it. A second main target audience is students of… 
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This elementary calculation puts into perspective the recurring claims that a random variable conforms to Benford's law, at least approximately, whenever it has large spread.
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