• Corpus ID: 227208697

A Widespread Error in the Use of Benford's Law to Detect Election and Other Fraud

@article{Hill2020AWE,
  title={A Widespread Error in the Use of Benford's Law to Detect Election and Other Fraud},
  author={Theodore P. Hill},
  journal={arXiv: Probability},
  year={2020}
}
  • T. Hill
  • Published 25 November 2020
  • Mathematics
  • arXiv: Probability
The goal of this note is to show that a widespread claim about Benford's Law, namely, that the range of every Benford distribution spans at least several orders of magnitude, is false. The proof is constructive and concrete examples are presented. 
1 Citations

Analyzing Benford’s Law’s Powerful Applications in Image Forensics

TLDR
Using the image’s luminance channel and JPEG coefficients, the proposed idea is applicable to any procedure that involves the analysis of digital images and in which it is strongly suggested that the image authenticity be verified prior to beginning the analyzing process.

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Feller's classic text 'An Introduction to Probability Theory and its Applications' contains a derivation of the well known significant-digit law called Benford's law. More specifically, Feller gives

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Emphasizing common challenges and techniques across the disciplines, this accessible book shows how Benford’s law can serve as a productive meeting ground for researchers and practitioners in diverse fields.

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This article provides a concise overview of the main mathematical theory of Benford’s law in a form accessible to scientists and students who have had first courses in calculus and probability. In

Benford's Law

TLDR
It is shown that a number of different statistics associated with computation like space and runtime often follow Benford's Law, and that search cost on input data that follows Benford’s Law is often very different to that on more uniform data.

Fact check: Deviation from Benford’s Law does not prove election fraud

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An Introduction to Benford's Law

Benford’s Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem

TLDR
The claim by Feller and subsequent authors that ‘‘regularity and large spread implies Benford’s Law’’ is fallacious for any reasonable definitions of regularity and spread (measure of dispersion).

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Why do Biden’s votes not follow Benford’s Law

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