Preprint arXiv:1805.01291v1 [stat.OT]; last accessed July 29, 2018.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: In this paper, we will see that the proportion of d as p th digit, where p > 1 and d ∈ 0, 9, in data (obtained thanks to the hereunder developed model) is more likely to follow a law whose probability distribution is determined by a specific upper bound, rather than the generalization of Benford's Law to digits beyond the first one. These probability distributions fluctuate around theoretical values determined by Hill in 1995. Knowing beforehand the value of the upper bound can be a way to find a better adjusted law than Hill's one.
Bibtex:
@article {,
AUTHOR = {Stéphane Blondeau da Silva},
TITLE = {Benford or not Benford: new results on digits beyond the first},
YEAR = {2018},
URL = {https://arxiv.org/abs/1805.01291},
ARXIVPREFIX = {arXiv},
EPRINT = {1805.01291v1},
PRIMARYCLASS = {stat.OT},
}
Reference Type: Preprint
Subject Area(s): Probability Theory, Statistics