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Li, Z, Cong, L and Wang, H (2004)

Discussion on Benford’s law and its application

posted on arXiv:math/0408057, Aug 4, 2004.

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

Abstract: The probability that a number in many naturally occurring tables of numerical data has first significant digit (i.e., first non-zero digit) d is predicted by Benford’s Law Prob (d) = log10 (1+1/d), d = 1, 2 . . . , 9. Illustrations of Benford’s Law from both theoretical and real-life sources on both science and social science areas are shown in detail with some novel ideas and generalizations developed solely by the authors of this paper. Three tests, Chi-Square test, total variation distance, and maximum deviations are adopted to examine the fitness of the datasets to Benford’s distribution. Finally, applications of Benford’s Law are summarized and explored to reveal the power of this mathematical principle.

@Unpublished{, AUTHOR = {Li, Zhipeng and Cong, Lin and Wang, Huajia}, MONTH = {October}, TITLE = {Discussion on Benford's Law and its Application}, YEAR = {2004}, DATE = {Mon, 4 Oct 2004}, EPRINT = {arXiv:math/0408057v2}, URL = {}, }

Reference Type: E-Print

Subject Area(s): General Interest, Probability Theory, Social Sciences