Zeitschrift für Naturforschung Section A - A Journal of Physical Sciences 58(11), pp. 618-622.

**ISSN/ISBN:** 0932-0784
**DOI:** 10.1515/zna-2003-1105

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**Abstract:** It is well known that the leading digit in tables of statistical and physical data is not evenly distributed
among the digits 1 to 9. Benford (who collected a large number of data) assumed that they
follow a logarithmic law, commonly known as Benford’s Law, although it was proposed earlier by
Newcomb. We suggest, however, that the probability of the first digit being a 1, 2, . . . depends on the
particular distribution function of the data. For example, the size distribution of objects which grow
exponentially is found to follow the Newcomb-Benford law. On the other hand, as the experimental
data discussed in this paper show, the function governing the probability of the first digit of the weight
of fragments obtained from crushing a stone deviates substantially from the Newcomb-Benford Law.

**Bibtex:**

```
@article{,
title={On the newcomb-benford law},
author={Kreiner, Welf A},
journal={Zeitschrift f{\"u}r Naturforschung A},
volume={58},
number={11},
pages={618--622},
year={2003},
DOI={10.1515/zna-2003-1105},
}
```

**Reference Type:** Journal Article

**Subject Area(s):** General Interest