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Benford's law: a 'sleeping beauty' sleeping in the dirty pages of logarithmic tables

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posted on 31.07.2017, 09:39 by Tariq Ahmad Mir, Marcel Ausloos
Benford's law is an empirical observation, first reported by Simon Newcomb in 1881 and then independently by Frank Benford in 1938: the first significant digits of numbers in large data are often distributed according to a logarithmically decreasing function. Being contrary to intuition, the law was forgotten as a mere curious observation. However, in the last two decades, relevant literature has grown exponentially, - an evolution typical of "Sleeping Beauties" (SBs) publications that go unnoticed (sleep) for a long time and then suddenly become center of attention (are awakened). Thus, in the present study, we show that Newcomb (1881) and Benford (1938) papers are clearly SBs. The former was in deep sleep for 110 years whereas the latter was in deep sleep for a comparatively lesser period of 31 years up to 1968, and in a state of less deep sleep for another 27 years up to 1995. Both SBs were awakened in the year 1995 by Hill (1995a). In so doing, we show that the waking prince (Hill, 1995a) is more often quoted than the SB whom he kissed, - in this Benford's law case, wondering whether this is a general effect, - to be usefully studied.

History

Citation

arXiv:1702.00554 [cs.DL]

Author affiliation

/Organisation/COLLEGE OF SOCIAL SCIENCES, ARTS AND HUMANITIES/School of Management

Version

AO (Author's Original)

Published in

arXiv:1702.00554 [cs.DL]

Copyright date

2017

Available date

31/07/2017

Publisher version

https://arxiv.org/abs/1702.00554

Notes

18 pages, 4 figures, 3 tables, 79 references, Accepted for publication in Journal of the Association for Information Science and Technology

Language

en

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