# 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…

## 9 Citations

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