Empirical Mantissa Distributions of Pulsars

Details Empirical Mantissa Distributions of Pulsars Empirical Mantissa Distributions of Pulsars

2010-05-11

arxiv.org/abs/1005.1702v1

Astropart.Phys.33:255-262,2010

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

15 pages, 7 figures, final version in journal publication

Scientific paper

10.1016/j.astropartphys.2010.02.

The occurrence of digits one through nine as the leftmost nonzero digit of numbers from real world sources is often not uniformly distributed, but instead, is distributed according to a logarithmic law, known as Benford's law. Here, we investigate systematically the mantissa distributions of some pulsar quantities, and find that for most quantities their first digits conform to this law. However, the barycentric period shows significant deviation from the usual distribution, but satisfies a generalized Benford's law roughly. Therefore pulsars can serve as an ideal assemblage to study the first digit distributions of real world data, and the observations can be used to constrain theoretical models of pulsar behavior.

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