Scatter and regularity imply Benford's law... and more

@article{Gauvrit2009ScatterAR,
  title={Scatter and regularity imply Benford's law... and more},
  author={Nicolas Gauvrit and J. P. Delahaye},
  journal={arXiv: Probability},
  year={2009}
}
A random variable (r.v.) X is said to follow Benford's law if log(X) is uniform mod 1. Many experimental data sets prove to follow an approximate version of it, and so do many mathematical series and continuous random variables. This phenomenon received some interest, and several explanations have been put forward. Most of them focus on specific data, depending on strong assumptions, often linked with the log function. Some authors hinted - implicitly - that the two most important… 

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