### Li, Z, Cong, L and Wang, H (2004)

#### Discussion on Benford’s law and its application

posted on arXiv:math/0408057, Aug 4, 2004.

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

**Abstract:** The probability that a number in many naturally occurring tables
of numerical data has first significant digit (i.e., first non-zero digit) d is predicted
by Benford’s Law Prob (d) = log_{10} (1+1/d), d = 1, 2 . . . , 9. Illustrations
of Benford’s Law from both theoretical and real-life sources on both science and
social science areas are shown in detail with some novel ideas and generalizations
developed solely by the authors of this paper. Three tests, Chi-Square test, total
variation distance, and maximum deviations are adopted to examine the fitness
of the datasets to Benford’s distribution. Finally, applications of Benford’s Law
are summarized and explored to reveal the power of this mathematical principle.

**Bibtex:**

```
@Unpublished{,
AUTHOR = {Li, Zhipeng and Cong, Lin and Wang, Huajia},
MONTH = {October},
TITLE = {Discussion on Benford's Law and its Application},
YEAR = {2004},
DATE = {Mon, 4 Oct 2004},
EPRINT = {arXiv:math/0408057v2},
URL = {http://arxiv.org/abs/math.st/0408057},
}
```

**Reference Type:** E-Print

**Subject Area(s):** General Interest, Probability Theory, Social Sciences