Measuring the conformity of distributions to Benford's law

Jalil Kazemitabar and Javad Kazemitabar

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 14, 3530-3536

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.

Date: 2020
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DOI: 10.1080/03610926.2019.1590599

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