### Kafri, O (2009)

#### Entropy Principle in Direct Derivation of Benford's Law

posted on arXiv 8 March 2009 - arXiv:0901.3047v2.

**ISSN/ISBN:** Not available at this time.
**DOI:** Not available at this time.

**Abstract:** The uneven distribution of digits in numerical data, known as Benford's law, was discovered in 1881. Since then, this law has been shown to be correct in copious numerical data relating to economics, physics and even prime numbers. Although it attracts considerable attention, there is no a priori probabilistic criterion when a data set should or should not obey the law. Here a general criterion is suggested, namely that any file of digits in the Shannon limit (namely, having maximum entropy) has a Benford's law distribution of digits.

**Bibtex:**

```
@article{,
title={Entropy principle in direct derivation of Benford's law},
author={Kafri, Oded},
journal={arXiv preprint arXiv:0901.3047},
url={http://arxiv.org/abs/0901.3047},
year={2009},
}
```

**Reference Type:** E-Print

**Subject Area(s):** Physics