• Corpus ID: 88524415

Benford's law from 1881 to 2006

  title={Benford's law from 1881 to 2006},
  author={Werner Hűrlimann},
  journal={arXiv: Statistics Theory},
  • W. Hűrlimann
  • Published 6 July 2006
  • Computer Science
  • arXiv: Statistics Theory
On the occasion of the 125-th anniversary of Newcomb's paper, a bibliography of academic work related to Benford's law from its year of origin 1881 to 2006 has been compiled. 

The power of one : Benford's law

Benford’s analysis will be applied to an investigation of the so-called Fisher-Mendel controversy and six recently published papers selected from the South African Journal of Industrial Engineering.

Benford's law: A “sleeping beauty” sleeping in the dirty pages of logarithmic tables

It is shown that the waking prince is more often quoted than the SB whom he kissed—in this Benford's law case, wondering whether this is a general effect—to be usefully studied.

Benford’s Law as an Indicator of Fraud in Economics

Abstract Contrary to intuition, first digits of randomly selected data are not uniformly distributed but follow a logarithmically declining pattern, known as Benford’s law. This law is increasingly

Making Use of “Benford’s Law” for the Randomized Response Technique

In this article, “Benford’s law” is applied to the “randomized response technique” (RRT) to increase the validity of answers to sensitive questions. Using the Newcomb–Benford distribution as a

Order Statistics and Benford's Law

Conditions on the probability density are derived which determine whether or not the distribution of the digits of all the unnormalized differences converges to Benford's law, shifted exponential behavior, or oscillates between the two, and it is shown that the Pareto distribution leads to oscillating behavior.

Accounting fraud: A literature review

This paper explains the main features of accounting fraud across an examination of the current literature by putting the environment and the different ways to prevent fraud under a microscope. The

Enterprise Applications and Services in the Finance Industry

This book constitutes the proceedings of the 6th International Workshop on Enterprise Applications and Services in the Finance Industry, FinanceCom 2012, held in Barcelona, Spain, on June 10, 2012, and reflects on technologically enabled opportunities, implications, and changes due to the introduction of new business models or regulations related to the financial services industry and the financial markets.

Exact Asymptotic Goodness-of-Fit Testing For Discrete Circular Data, With Applications

We show that the full asymptotic null distribution for Watson’s 2N U statistic, modified for discrete data, can be computed simply and exactly by standard methods. Previous approximate quantiles for



Base-Invariance Implies Benford's Law

A derivation of Benford's Law or the First-Digit Phenomenon is given assuming only base-invariance of the underlying law. The only baseinvariant distributions are shown to be convex combinations of


This article investigates the distribution of the first digits (from the left) in the q-nary expansions of numerical sequences and functions (q an integer ≥2). Bibliography: 13 titles.

Rational Response to Irrational Attitudes: The Level of the Gasoline Tax in the United States

Journal of Policy Analysis and Management, Vol. 20, No. 4, 761–769 (2001) © 2001 by the Association for Public Policy Analysis and Management Published by John Wiley & Sons, Inc. Candidates for


We give an extension of Benford's law (first digit problem) by using the concept of conditional density, introduced by Fuchs and Letta. The main tool is the notion of regular subset of integers.

A Note on Distributions of True versus Fabricated Data

New empirical evidence and statistical derivations of Benford's Law have led to successful goodness-of-fit tests to detect fraud in accounting data. Several recent case studies support the hypothesis

Empirical hyperbolic distributions (Bradford-Zipf-Mandelbrot) for bibliometric description and prediction

This paper builds on the work of Buckland and Hindle regarding statistical distribution as applied to the field of bibliometrics, particularly the use of empirical laws, and discusses the characteristics of hyperbolic distributions and the Bradford distribution.

Robert Fairthorne and the empirical power laws

A review of Fairthorne's classic article “Empirical hyperbolic distributions (Bradford‐Zipf‐Mandelbrot) for bibliometric description and prediction” is reviewed as part of a series marking the Journal of Documentation's 60th anniversary.

The Use of Benford's Law as an Aid in Analytical Procedures

Key Words: Analytical procedures, Benford's Law. Data Availability: The data used in the study are confidential current corporate data, and therefore are not available to readers. Contact the first