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Cuff, V , Lewis, A and Miller, SJ (2009)

The Weibull distribution and Benfordís law


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

Abstract: Benford's law states that many data sets have a bias towards lower leading digits,with a rst digit of 1 about 30.1% of the time and a 9 only 4.6%. There are numerous applications, ranging from designing ecient computers to detecting tax, voter and image fraud. An important, open problem is to determine which common probability distributions are close to Benford's law. We show that the Weibull distribution, for many values of its parameters, is close to Benford's law, and derive an explicit formula measuring the deviations.As the Weibull distribution arises in many problems, especially survival analysis, our results provide additional arguments for the prevalence of Benford behavior.

@Unpublished{, AUTHOR = {Cuff, V. and Lewis, A. and Miller, S.J.}, TITLE = {The Weibull distribution and Benfordís law}, NOTE = {Preprint}, YEAR = {2009}, }

Reference Type: Preprint

Subject Area(s): Statistics