Note on the Frequency of Use of the Different Digits in Natural Numbers

1881/01/01 by Simon Newcomb · 42 citations
Mathematics · #Mathematical and Theoretical Analysis #History and Theory of Mathematics

paper · doi:10.2307/2369148

Cited by

• The Significant-Digit Phenomenon
• The Newcomb–Benford law: Scale invariance and a simple Markov process based on it
• Breaking the (Benford) Law
• All Data are Wrong, but Some are Useful? Advocating the Need for Data Auditing
• Realistic Handwritten Multi-Digit Writer (MDW) Number Recognition Challenges
• Benford's law from 1881 to 2006
• The Uneven Distribution of Numbers in Nature
• Redundancy-Related Bounds on Generalized Huffman Codes
• Election Fraud: A Latent Class Framework for Digit-Based Tests
• Digit analysis for Covid-19 reported data
• Weighted uniform distribution of subpolynomial functions along primes and applications
• Earthquake Detection Using Benford's Law
• Benford's law in superconducting critical temperatures
• Benford Behavior in Stick Fragmentation Problems
• A derivation of Benford's Law ... and a vindication of Newcomb
• When Does the Second-Digit Benford’s Law-Test Signal an Election Fraud?
• Benford behavior resulting from stick and box fragmentation processes
• Best finite approximations of Benford's Law
• Co-occurrence of the Benford-like and Zipf Laws Arising from the Texts\n Representing Human and Artificial Languages
• Testing Case Number of Coronavirus Disease 2019 in China with Newcomb-Benford Law
• Stack and register complexity of radix conversions
• Benford's Law and articles of scientific journals: comparison of JCR ® and Scopus data. [europepmc]
• Benford's Law: textbook exercises and multiple-choice testbanks. [europepmc]
• A first digit theorem for powerful integer powers. [europepmc]
• An analysis of bibliometric indicators to JCR according to Benford's law. [europepmc]
• The Hall-Petch effect as a manifestation of the general size effect. [europepmc]
• Elucidating tissue specific genes using the Benford distribution. [europepmc]
• Using the Benford's Law as a First Step to Assess the Quality of the Cancer Registry Data. [europepmc]
• Pinocchio testing in the forensic analysis of waiting lists: using public waiting list data from Finland and Spain for testing Newcomb-Benford's Law. [europepmc]
• Technological improvements or climate change? Bayesian modeling of time-varying conformance to Benford's Law. [europepmc]
• Characterizing Human Cell Types and Tissue Origin Using the Benford Law. [europepmc]
• SEIRD model to study the asymptomatic growth during COVID-19 pandemic in India. [europepmc]
• Reliability of Financial Information from the Perspective of Benford's Law. [europepmc]
• Anti-clustering in the national SARS-CoV-2 daily infection counts. [europepmc]
• Using the Newcomb-Benford law to study the association between a country's COVID-19 reporting accuracy and its development. [europepmc]
• Testing for Benford's Law in very small samples: Simulation study and a new test proposal. [europepmc]
• "Won't get fooled again": statistical fault detection in COVID-19 Latin American data. [europepmc]
• Investigating and preventing scientific misconduct using Benford's Law. [europepmc]
• Multibridge: an R package to evaluate informed hypotheses in binomial and multinomial models. [europepmc]
• First Digits' Shannon Entropy. [europepmc]
• A Maximum Entropy Resolution to the Wine/Water Paradox. [europepmc]
• Tools of the data detective: A review of statistical methods to detect data and result anomalies in psychology. [europepmc]