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Morrow, J (2010)

Benford's Law, Families of Distributions and a Test Basis

E-print formerly published on www.johnmorrow.info; last accessed Mar 10, 2021. .

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

Abstract: This paper presents improved, asymptotically valid test values for Benford's Law, a particular distribution of First Signicant Digits. Also derived are new test values for heuristic tests used in the literature and small sample properties of the tests are investigated. Since not all data should be expected to satisfy Benford's Law, a simple method is presented by which all continuous distributions may be transformed to satisfy Benford with arbitrary precision and induce scale invariance, one of the properties underlying Benford's Law in the literature. This allows application of Benford tests to arbitrary samples, a hurdle to current empirical work. The results yield improved tests for Benford's law applicable to a broader class of data.

Bibtex:
@misc{, AUTHOR = {John Morrow}, TITLE = {Benford's Law, Families of Distributions and a Test Basis}, HOWPUBLISHED = {\url{http://www.johnmorrow.info/projects/benford/benfordMain.pdf}}, YEAR = {2010}, NOTE = {last accessed Aug 22, 2016}, }

Reference Type: E-Print

Subject Area(s): Statistics