Communications in Statistics - Theory and Methods 49(14), pp. 3530-3536.
ISSN/ISBN: Not available at this time. DOI: 10.1080/03610926.2019.1590599
Abstract: We propose a new approach to explore Benford’s law. We take the uniform interpretation of Benford’s law and relax the modulus to define a range of Benford-like characteristics. We then show all fat-tailed distributions approximately satisfy Benford’s law. Our theory shows Benford’s law is a natural property of Riemannian sums for continuous probability densities. Our simulations corroborate this connection.
Bibtex:
@article{,
author = {Jalil Kazemitabar and Javad Kazemitabar},
title = {Measuring the conformity of distributions to Benford's law},
journal = {Communications in Statistics - Theory and Methods},
volume = {49},
number = {14},
pages = {3530--3536},
year = {2020},
publisher = {Taylor & Francis},
doi = {10.1080/03610926.2019.1590599},
URL = {https://doi.org/10.1080/03610926.2019.1590599},
eprint = {https://doi.org/10.1080/03610926.2019.1590599}
}
Reference Type: Journal Article
Subject Area(s): Analysis, Statistics