Benford's law: a Poisson perspective

DOI10.1016/j.physa.2013.03.057zbMath1395.62020OpenAlexW2011839552MaRDI QIDQ1673058

Iddo I. Eliazar

Publication date: 11 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.03.057

zbMATH Keywords

invarianceuniversalitycontinued fractionsPoisson limit theoremsextreme-value statisticspower-laws

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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Cites Work

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• Benford's law strikes back: no simple explanation in sight for mathematical gem
• Anomalous is ubiquitous
• Paretian Poisson processes
• A statistical derivation of the significant-digit law
• Benford's law in time series analysis of seismic clusters
• On the structure and phase transitions of power-law Poissonian ensembles
• Benford’s Law, A Growth Industry
• On the Distribution of First Significant Digits
• Power-law distributions: Beyond Paretian fractality
• Base-Invariance Implies Benford's Law
• Super-stable Poissonian structures
• From uniform distributions to Benford's law
• The Significant-Digit Phenomenon
• Brownian gas models for extreme-value laws
• The matchmaking paradox: a statistical explanation
• Fractal‐Based Point Processes
• Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf