### Shukla, A, Pandey, AK and Pathak, A (2017)

#### Benfordâ€™s distribution in extrasolar world: Do the exoplanets follow Benfordâ€™s distribution?

Journal of Astrophysics and Astronomy JOAA-D-16-00138, 38(7).

**ISSN/ISBN:** Not available at this time.
**DOI:** 10.1007/s12036-017-9427-z

**Abstract:** In many real life situations, it is observed that the first digits (i.e., 1; 2; : : : ; 9) of a numerical data-set, which is expressed using decimal system, do not follow a uniform distribution. In fact, the probability of occurrence of these digits decreases in an almost
exponential fashion starting from 30.1% for 1 to 4.6% for 9. Specifically, smaller numbers are favoured by nature in accordance with a logarithmic distribution law, which
is referred to as Benford's law. The existence and applicability of this empirical law
have been extensively studied by physicists, accountants, computer scientists, mathematicians, statisticians, etc., and it has been observed that a large number of data-sets
related to diverse problems follow this distribution. However, except two recent works
related to astronomy, applicability of Benford's law has not been tested for extrasolar
objects. Motivated by this fact, this paper investigates the existence of Benford's distribution in the extrasolar world using Kepler data for exoplanets. The quantitative
investigations have revealed the presence of Benford's distribution in various physical
properties of these exoplanets. Further, some specific comments have been made on the
possible generalizations of the obtained results, its potential applications in analyzing the data-set of candidate exoplanets.

**Bibtex:**

```
@article {,
AUTHOR = {Abhishek Shukla and Ankit Kumar Pandey and Anirban Pathak},
TITLE = {Benford’s distribution in extrasolar world: Do the exoplanets follow Benford’s distribution?},
JOURNAL = {Journal of Astrophysics and Astronomy},
YEAR = {2017},
VOLUME = {38},
NUMBER = {7},
URL = {http://www.ias.ac.in/public/Volumes/joaa/forthcoming/JOAA-D-16-00138.pdf},
}
```

**Reference Type:** Journal Article

**Subject Area(s):** Physics