This work cites the following items of the Benford Online Bibliography:
Alexopoulos, T and Leontsinis, S (2014). Benford's Law in Astronomy. Journal of Astrophysics and Astronomy, 35(4), pp. 639-648. ISSN/ISBN:0250-6335. DOI:10.1007/s12036-014-9303-z. | ![]() |
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Alves, AD, Yanasee, HH and Soma, NY (2016). An analysis of bibliometric indicators to JCR according to Benford’s law. Scientometrics 107(3), pp. 1489–1499. DOI:10.1007/s11192-016-1908-3. | ![]() |
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Alves, AD, Yanasse, HH and Soma, NY (2014). Benford's Law and articles of scientific journals: comparison of JCR® and Scopus data. Scientometrics 98, pp. 173-184. ISSN/ISBN:0138-9130. DOI:10.1007/s11192-013-1030-8. | ![]() |
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Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, Vol. 78, No. 4 (Mar. 31, 1938), pp. 551-572. | ![]() |
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Bertin, M and Lafouge, T (2024). Scientometric Dataset for Benford's law. Published July 10, 2024 | Version v3 on Zenodo. DOI:10.5281/zenodo.12698510. | ![]() |
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Campanario, JM and Coslado, MA (2011). Benford's law and citations, articles and impact factors of scientific journals. Scientometrics 88(2), pp. 421-432. DOI:10.1007/s11192-011-0387-9. | ![]() |
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Cerqueti, R and Lupi, C (2022). Severe testing of Benford’s law. Preprint arXiv:2202.05237 [stat.ME]; last accessed February 21, 2022. | ![]() |
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Cho, WKT and Gaines, BJ (2007). Breaking the (Benford) law: Statistical fraud detection in campaign finance. American Statistician 61(3), pp. 218-223. ISSN/ISBN:0003-1305. DOI:10.1198/000313007X223496. | ![]() |
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Delahaye, J-P (2012). Les entiers ne naissent pas égaux. Pour la Science 421, pp. 80–85. FRE | ![]() |
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Diaconis, P (1977). The Distribution of Leading Digits and Uniform Distribution Mod 1. Annals of Probability 5(1), pp. 72-81. ISSN/ISBN:0091-1798. | ![]() |
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Diekmann, A (2007). Not the First Digit! Using Benford's Law to Detect Fraudulent Scientific Data. Journal of Applied Statistics 34(3), pp. 321-329. ISSN/ISBN:0266-4763. DOI:10.1080/02664760601004940. | ![]() |
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Eckhartt, GM and Ruxton, GD (2023). Investigating and preventing scientific misconduct using Benford’s Law. Research Integrity and Peer Review 8(1). DOI:10.1186/s41073-022-00126-w. | ![]() |
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Egghe, L (2011). Benford’s law is a simple consequence of Zipf’s law. ISSI Newsletter 7(3), pp. 55–56. | ![]() |
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Egghe, L and Guns, R (2012). Applications of the generalized law of Benford to informetric data. Journal of the American Society for Information Science and Technology 63(8), pp. 1662-1665. ISSN/ISBN:1532-2882. DOI:10.1002/asi.22690. | ![]() |
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Fu, D, Shi, YQ and Su, W (2007). A generalized Benford’s law for JPEG coefficients and its applications in image forensics. Proceedings of SPIE, Volume 6505, Security, Steganography and Watermarking of Multimedia Contents IX, San Jose, California, January 28 - February 1, 2007, pp. 65051L-65051L-11. DOI:10.1117/12.704723. | ![]() |
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Gauvrit, N and Delahaye, J-P (2008). Pourquoi la loi de Benford n’est pas mystérieuse - A new general explanation of Benford’s law. Mathematiques et sciences humaines/ Mathematics and social sciences, 182(2), pp. 7-15. ISSN/ISBN:0987-6936. DOI:10.4000/msh.10363. FRE | ![]() |
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Geyer, CL and Williamson, PP (2004). Detecting Fraud in Data Sets Using Benford's Law. Communications in Statistics: Simulation and Computation 33(1), pp. 229-246. ISSN/ISBN:0361-0918. DOI:10.1081/SAC-120028442. | ![]() |
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Gupta, S, Singh, VK and Banshal, SK (2023). On the Quality of altmetric data: An exploratory analysis using Benford’s law. Proceedings of 19th International Scientometrics and Informetrics (ISSI) Conference, Indiana, USA . DOI:10.5281/zenodo.8305637. | ![]() |
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Hein, JM, Schuepfer, GK and Konrad, C (2011). Is fraud detection in scientific anaesthesia papers possible by using a method of financial auditors?. European Journal of Anaesthesiology 28, 15AP2-2, p. 212 . DOI:10.1097/00003643-201106001-00686. | ![]() |
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Hürlimann, W (2015). On the uniform random upper bound family of first significant digit distributions. Journal of Informetrics, Volume 9, Issue 2, pp. 349–358. DOI:10.1016/j.joi.2015.02.007. | ![]() |
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Hürlimann, W (2015). A first digit theorem for powerful integer powers. SpringerPlus (2015) 4: 576. DOI:10.1186/s40064-015-1370-3. | ![]() |
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Judge, G and Schechter, L (2009). Detecting problems in survey data using Benford’s law. J. Human Resources 44, pp. 1-24. DOI:10.3368/jhr.44.1.1. | ![]() |
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Kafri, O (2023). Zipf’s Law, Benford’s Law, and Pareto Rule. Advances in Pure Mathematics 13(3), pp. 174-180. DOI:10.4236/apm.2023.133010. | ![]() |
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Lazebnik, T and Gorlitsky, D (2023). Can We Mathematically Spot Possible Manipulation of Results in Research Manuscripts Using Benford's Law?. Preprint arXiv:2307.01742 [cs.IR]; last accessed July 7, 2023. | ![]() |
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Lee, K-B, Han, S and Jeong, Y (2020). COVID-19, flattening the curve, and Benford’s law. Physica A: Statistical Mechanics and its Applications 559, 125090. DOI:10.1016/j.physa.2020.125090. | ![]() |
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Mebane, WR Jr (2011). Comment on “Benford's Law and the Detection of Election Fraud”. Political Analysis 19(3), pp. 269-272. DOI:10.1093/pan/mpr024. | ![]() |
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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. | ![]() |
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Nigrini, MJ (2012). Benford's Law: Applications for Forensic Accounting, Auditing, and Fraud Detection . John Wiley & Sons: Hoboken, New Jersey. ISSN/ISBN:978-1-118-15285-0. DOI:10.1002/9781119203094. | ![]() |
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Nigrini, MJ and Miller, SJ (2007). Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data. Mathematical Geology 39(5), 469-490. ISSN/ISBN:0882-8121. DOI:10.1007/s11004-007-9109-5. | ![]() |
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Pain, J-C (2008). Benford’s law and complex atomic spectra. Physical Review E 77(1): Art. No. 012102. ISSN/ISBN:1539-3755. DOI:10.1103/PhysRevE.77.012102. | ![]() |
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Perez-Gonzalez, F, Heileman, GL and Abdallah, CT (2007). Benford's Law in Image Processing. Image Processing, pp I-405 - I-408. ICIP 2007. IEEE International Conference. ISSN/ISBN:1522-4880. DOI:10.1109/ICIP.2007.4378977. | ![]() |
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Pietronero, L, Tosatti, E, Tosatti, V and Vespignani, A (2001). Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Physica A - Statistical Mechanics and its Applications 293(1-2), 297-304. ISSN/ISBN:0378-4371. DOI:10.1016/S0378-4371(00)00633-6. | ![]() |
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Raimi, RA (1976). The First Digit Problem. American Mathematical Monthly 83(7), pp. 521-538. ISSN/ISBN:0002-9890. DOI:10.2307/2319349. | ![]() |
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Rane, AD, Mishra, U, Biswas, A, De, AS and Sen, U (2014). Benford's law gives better scale exponents in phase transitions of quantum XY models. Phys. Rev. E 90(2), p. 022144 (previously available from http://arxiv.org/abs/1405.2744). DOI:10.1103/PhysRevE.90.022144. | ![]() |
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Sambridge, M, Tkalčić, H and Jackson, A (2010). Benford's law in the Natural Sciences. Geophysical Research Letters 37: L22301. DOI:10.1029/2010GL044830. | ![]() |
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Schumm, WR, Crawford, DW, Lockett, L, Ateeq, AB and AlRashed, A (2023). Can Retracted Social Science Articles Be Distinguished from Non-Retracted Articles by Some of the Same Authors, Using Benford’s Law or Other Statistical Methods?. Publications 11, 14. DOI:10.3390/publications11010014. | ![]() |
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Wei, L, Sundararajan, A, Sarwat, AI, Biswas, S and Ibrahim, E (2017). A distributed intelligent framework for electricity theft detection using benford's law and stackelberg game. IEEE Proceedings of 2017 Resilience Week (RWS), pp. 5-11. DOI:10.1109/RWEEK.2017.8088640. | ![]() |
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