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Palacios, NT (2020)

Benford's Law. History, mathematical justification and applications

Degree in Statistics Final Degree Project, Universidad de Valladolid. Facultad de Ciencias.

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

Abstract: Newcomb-Benford’s Law, also known as “the first significant -digit Law “ or “the Law of Anomalous Numbers ”, is based on an observation from which a law was formalized about the distribution of the first significant digits in positive numerical data, where the probabilities of the most significant figures are not uniformly distributed, as might be expected. In addition, it receives these other names be cause it shows how the lower digits occur in nature more-often than the higher ones, indicating the absence of this event a possible risk of abnormal duplications and anomalies in certain datasets, and this is why it is a key tool in fields like fraud detection. In this sense, the issue of this project is to summarize bibliography with the purpose of showing the mathematical, statistical and empirical frameworks concerning this Law. We will study the distribution of the first significant digits, point out how to apply the formulas and we will interpret and check its effectiveness with the results obtained using two different datasets. Finally, we will also review the applications of this law in our day-to-day.

@Thesis{, AUTHOR = {Naila Talavera Palacios}, TITLE = {Benford's Law. History, mathematical justification and applications}, SCHOOL = {Universidad de Valladolid. Facultad de Ciencias}, YEAR = {2020},

Reference Type: Thesis

Subject Area(s): General Interest, Mathematics Education