• Corpus ID: 18255371

Fundamental Flaws in Feller's Classical Derivation of Benford's Law

@article{Berger2010FundamentalFI,
  title={Fundamental Flaws in Feller's Classical Derivation of Benford's Law},
  author={Arno Berger and Theodore P. Hill},
  journal={arXiv: Probability},
  year={2010}
}
Feller's classic text 'An Introduction to Probability Theory and its Applications' contains a derivation of the well known significant-digit law called Benford's law. More specifically, Feller gives a sufficient condition ("large spread") for a random variable $X$ to be approximately Benford distributed, that is, for $\log_{10}X$ to be approximately uniformly distributed modulo one. This note shows that the large-spread derivation, which continues to be widely cited and used, contains serious… 

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