Open Access Repositorium der Universität Ulm und Technischen Hochschule Ulm.
ISSN/ISBN: Not available at this time. DOI: 10.18725/OPARU-46416
Abstract: Checking tables of statistical data, one finds that, in the first position of the numbers, the digits 1 to 9 occur with different frequency. Although in most cases the Newcomb-Benford Law applies (the 1 forms the leading decimal place 6.58 times as often as the 9), distributions have been found where the 1 in the first position occurs up to more than 40 times as frequently as the 9. The reason for this deviant behavior is discussed. The probability of the occurrence of a given first digit can be derived from a power function with a negative exponent P > 1. In addition, for some cases the first digits´ Shannon entropy is calculated.
Bibtex:
@article{,
title={Non-Newcomb-Benford Distributions}, url={https://oparu.uni-ulm.de/xmlui/handle/123456789/46492},
DOI={10.18725/OPARU-46416},
journal={Universität Ulm},
publisher={Universität Ulm},
author={Kreiner, Welf Alfred},
year={2022},
language={en},
}
Reference Type: Journal Article
Subject Area(s): Probability Theory