Technical Report, Dept. of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada.

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

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**Abstract:** Sharp universal bounds are given for the distance between normalised Lebesgue measure on
R/Z and the distribution of log X mod 1, where X is uniform. The results dispel the popular
belief that a random variable obeys Benford’s Law (at least approximately) whenever its spread
is large.

**Bibtex:**

```
@TechReport{Ber,
author = {Berger, Arno},
title = {Large Spread Does Not Imply {Benford's Law}},
type = {Preprint},
institution = {Department of Mathematical and Statistical Sciences,
University of Alberta},
address = {Edmonton, AB, Canada},
year = {2010},
}
```

**Reference Type:** Preprint

**Subject Area(s):** Probability Theory