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Pimbley, JM (2014)

Benfordís Law as a Logarithmic Transformation

Maxwell Consulting Archives, Last retrieved 10 September 2014.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

Abstract: We review the history and description of Benfordís Law - the observation that many naturally occurring numerical data collections exhibit a logarithmic distribution of digits. By creating numerous hypothetical examples, we identify several cases that satisfy Benfordís Law and several that do not. Building on prior work, we create and demonstrate a ďBenford TestĒ to determine from the functional form of a probability density function whether the resulting distribution of digits will find close agreement with Benfordís Law. We also discover that one may generalize the first-digit distribution algorithm to include non-logarithmic transformations. This generalization shows that Benfordís Law rests on the tendency of the transformed and shifted data to exhibit a uniform distribution.

@misc{, AUTHOR = {Pimbley, Joseph M.}, TITLE = {Benfordís Law as a Logarithmic Transformation}, ORGANIZATION = {Maxwell Consulting}, YEAR = {2014}, URL = {}, NOTE={Last retrieved 10 September 2014}, }

Reference Type: E-Print

Subject Area(s): General Interest