Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, Vol. 78, No. 4 (Mar. 31, 1938), pp. 551-572.
|
 |
|
|
|
Berger, A and Hill, TP (2020). The mathematics of Benford’s law: a primer. Statistical Methods & Applications 30, pp. 779-795. DOI:10.1007/s10260-020-00532-8.
|
 |
|
|
|
Burns, BD (2020). Do people fit to Benford’s law, or do they have a Benford bias?. Proceedings of the 42nd Annual Virtual Meeting of the Cognitive Science Society, pp. 1729-1735.
|
 |
|
|
|
Burns, BD and Krygier, J (2015). Psychology and Benford’s Law. In: S.J. Miller (ed.) Benford's Law: Theory and Applications, Princeton University Press: Princeton, NJ, pp. 267-275.
|
 |
|
|
|
Campanelli, L (2022). Tuning up the Kolmogorov-Smirnov test for testing Benford’s law. Preprint on ResearchGate; published in Comnunications in Statistics - Theory and Methods 2024.
|
 |
|
|
|
Cerasa, A (2022). Testing for Benford’s Law in very small samples: Simulation study and a new test proposal. PLoS ONE 17(7), pp. e0271969. DOI:10.1371/journal.pone.0271969.
|
 |
|
|
|
Cerqueti, R and Maggi, M (2021). Data validity and statistical conformity with Benford’s Law. Chaos, Solitons & Fractals 144, p. 110740
. DOI:10.1016/j.chaos.2021.110740.
|
 |
|
|
|
Cerqueti, R, Maggi, M and Riccioni, J (2022). Statistical methods for decision support systems in finance: how Benford’s law predicts financial risk. Annals of Operations Research. DOI:10.1007/s10479-022-04742-z.
|
 |
|
|
|
Chi, D and Burns, BD (2022). Why do People fit to Benford’s Law? – A Test of the Recognition Hypothesis. In: Proceedings of the 44th Annual Conference of the Cognitive Science Society, J. Culbertson, A. Perfors, H. Rabagliati & V. Ramenzoni (Eds.), pp. 3648-3654.
|
 |
|
|
|
Coracioni, A-T and Dănescu, T (2020). Testing of Published Information on Greenhouse Gas Emissions. Conformity Analysis with the Benford’s Law Method. Audit Financiar XVIII(4) pp. 821-830,. DOI:10.20869/AUDITF/2020/160/029.
|
 |
|
|
|
D'Alessandro, A (2020). Benford's law and metabolomics: A tale of numbers and blood. Transfusion and Apheresis Science 59(6), pp. 103019. DOI:10.1016/j.transci.2020.103019.
|
 |
|
|
|
da Silva, AJ, Floquet, S, Santos, DOC and Lima, RF (2020). On the validation of the Newcomb-Benford Law and the Weibull distribution in neuromuscular transmission. Physica A 553, 1 September 2020, 124606. DOI:10.1016/j.physa.2020.124606.
|
 |
|
|
|
Fang, G (2022). Investigating Hill’s question for some probability distributions. AIP Advances 12, 095004. DOI:10.1063/5.0100429.
|
 |
|
|
|
Fewster, RM (2009). A Simple Explanation of Benford's Law. American Statistician 63(1), pp. 26-32. DOI:10.1198/tast.2009.0005.
|
 |
|
|
|
Formann, AK (2010). The Newcomb-Benford Law in Its Relation to Some Common Distributions. PLoS ONE 5(5): e10541. DOI:10.1371/journal.pone.0010541.
|
 |
|
|
|
Gauvrit, N, Houillon, J-C and Delahaye, J-P (2017). Generalized Benford’s Law as a Lie Detector. Advances in Cognitive Psychology 13(2), pp. 121-127. DOI:10.5709/acp-0212-x.
|
 |
|
|
|
Golbeck, J (2019). Benford’s Law can detect malicious social bots. First Monday 24(8). DOI:10.5210/fm.v24i8.10163.
|
 |
|
|
|
Jianu, Io and Jianu, Iu (2021). Reliability of Financial Information from the Perspective of Benford’s Law. Entropy 23(5), article no. 557. DOI:10.3390/e23050557.
|
 |
|
|
|
Kaiser, M (2019). Benford’s Law As An Indicator Of Survey Reliability—Can We Trust Our Data?. Journal of Economic Surveys Vol. 00, No. 0, pp. 1–17. DOI:10.1111/joes.12338.
|
 |
|
|
|
Kilani, A and Georgiou, GP (2021). Countries with potential data misreport based on Benford’s law. Journal of Public Health. DOI:10.1093/pubmed/fdab001.
|
 |
|
|
|
Klepac, G (2018). Cognitive Data Science Automatic Fraud Detection Solution, Based on Benford’S Law, Fuzzy Logic with Elements of Machine Learning. In: Sangaiah, A., Thangavelu, A., Meenakshi Sundaram, V. (eds) Cognitive Computing for Big Data Systems Over IoT. Lecture Notes on Data Engineering and Communications Technologies, vol 14 . Springer, Cham., pp. 79-95. DOI:10.1007/978-3-319-70688-7_4.
|
 |
|
|
|
Kreuzer, M, Jordan, D, Antkowiak, B, Drexler, B, Kochs, EF and Schneider, G (2014). Brain electrical activity obeys Benford's law. Anesth. Analg. 118(1), pp. 183-91. DOI:10.1213/ANE.0000000000000015.
|
 |
|
|
|
Lacasa, L and Fernández-Gracia, J (2019). Election Forensics: Quantitative methods for electoral fraud detection. Forensic Science International 294, pp. e19-e22. DOI:10.1016/j.forsciint.2018.11.010.
|
 |
|
|
|
Lesperance, M, Reed, WJ, Stephens, MA, Tsao, C and Wilton, B (2016). Assessing Conformance with Benford’s Law: Goodness-Of-Fit Tests and Simultaneous Confidence Intervals. PLoS One 11(3): e0151235; published online 2016 Mar 28. DOI:10.1371/journal.pone.0151235.
|
 |
|
|
|
Newcomb, S (1881). Note on the frequency of use of the different digits in natural numbers. American Journal of Mathematics 4(1), pp. 39-40. ISSN/ISBN:0002-9327. DOI:10.2307/2369148.
|
 |
|
|
|
Scott, PD and Fasli, M (2001). Benford’s law: an empirical investigation and a novel explanation. CSM Technical Report 349, Department of Computer Science, University of Essex, UK.
|
 |
|
|
|
Striga, D and Podobnik, V (2018). Benford’s Law and Dunbar’s Number: Does Facebook Have a Power to Change Natural and Anthropological Laws?. IEEE Access 6, pp. 14629-14642. DOI:10.1109/ACCESS.2018.2805712.
|
 |
|
|
|
Szabo, JK, Forti, LR and Callaghan, CT (2023). Large biodiversity datasets conform to Benford's law: Implications for assessing sampling heterogeneity. Biological Conservation 280, pp. 109982. DOI:10.1016/j.biocon.2023.109982.
|
 |
|
|
|
Volcic, A (2020). Uniform distribution, Benford’s law and scale-invariance. Bollettino dell'Unione Matematica Italiana. DOI:10.1007/s40574-020-00245-6.
|
 |
|
|
|