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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Berger, A and Hill, TP (2011). Benford's Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem. The Mathematical Intelligencer 33(1), pp. 85-91. DOI:10.1007/ s00283-010-9182-3.
|
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|
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Burke, J and Kincanon, E (1991). Benford's Law and Physical Constants - The Distribution of Initial Digits. American Journal of Physics 59 (10), p. 952. ISSN/ISBN:0002-9505. DOI:10.1119/1.16838.
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Burns, BD (2009). Sensitivity to statistical regularities: People (largely) follow Benford’s law. pp 2872-2877 in: Proceedings of CogSci 2009, Amsterdam, The Netherlands.
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Butgereit, L (2021). Covid-19 New Cases Measurements and Benford's Law with Specific Focus on South Africa. International Conference on Artificial Intelligence, Big Data, Computing and Data Communication Systems (icABCD), Durban, South Africa, pp. 1-5. DOI:10.1109/icABCD51485.2021.9519321.
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Cella, RS and Zanolla, E (2018). Benford’s Law and transparency: an analysis of municipal expenditure. Brazilian Business Review, 15(4), pp. 331-347. DOI:10.15728/bbr.2018.15.4.2.
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Crocetti, E and Randi, G (2016). Using the Benford's Law as a first step to assess the quality of the cancer registry data. Frontiers in Public Health 4:225. DOI:10.3389/fpubh.2016.00225.
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Durtschi, C, Hillison, W and Pacini, C (2004). The effective use of Benford’s law to assist in detecting fraud in accounting data. Journal of Forensic Accounting 1524-5586/Vol. V, pp. 17-34.
|
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Farhadi, N (2021). Can we rely on COVID-19 data? An assessment of data from over 200 countries worldwide. Science Progress 104(2). DOI:10.1177/00368504211021232.
|
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|
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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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Huang, Y, Niu, Z and Yang, C (2020). Testing firm-level data quality in China against Benford’s Law. Economics Letters 192, 109182. DOI:10.1016/j.econlet.2020.109182.
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Hürlimann, W (2015). Benford's Law in Scientific Research. International Journal of Scientific & Engineering Research, Volume 6, Issue 7, pp. 143-148. ISSN/ISBN:2229-5518.
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Jolion, JM (2001). Images and Benford's Law. Journal of Mathematical Imaging and Vision 14(1), pp. 73-81. ISSN/ISBN:0924-9907. DOI:10.1023/A:1008363415314.
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Koch, C and Okamura, K (2020). Benford's Law and COVID-19 Reporting. Posted on SSRN April 28, 2020; last accessed November 17, 2020. Published in Econ Lett 2020;196(109973) .
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Kossovsky, AE (2021). On the Mistaken Use of the Chi-Square Test in Benford’s Law. Stats 4(2), pp. 419–453. DOI:10.3390/stats4020027.
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Ley, E (1996). On the Peculiar Distribution of the US Stock Indexes' Digits. American Statistician 50(4), pp. 311-313. ISSN/ISBN:0003-1305. DOI:10.1080/00031305.1996.10473558.
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Manoochehrnia, P, Rachidi, F, Rubinstein, M, Schulz, W and Diefendorfer, G (2010). Benford’s Law and Its Application to Lightning Data. IEEE Transactions on Electromagnetic Compatibility 52(4), pp. 956-961.
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Mansouri, E, Mostajabi, A, Schulz, W, Diendorfer, G, Rubinstein, M and Rachidi , F (2022). On the Use of Benford’s Law to Assess the Quality of the Data Provided by Lightning Locating Systems. Atmosphere 13(4), pp. 552. ISSN/ISBN:2073-4433. DOI:10.3390/atmos13040552.
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Milano, F and Gómez-Expósito, A (2021). Detection of Cyber-Attacks of Power Systems through Benford’s Law. IEEE Transactions on Smart Grid 12(3) pp. 2741-2744
. DOI:10.1109/TSG.2020.3042897.
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Miller, SJ (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford. ISSN/ISBN:978-0-691-14761-1.
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Nigrini, MJ (1996). A taxpayer compliance application of Benford’s law. Journal of the American Taxation Association 18(1), pp. 72-91.
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Nigrini, MJ and Miller, SJ (2009). Data Diagnostics Using Second-Order Tests of Benford's Law. Auditing: A Journal of Practice & Theory 28(2), pp. 305-324. DOI:10.2308/aud.2009.28.2.305
.
|
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Parnak, A, Baleghi, Y, Kazemitabar, J and (2020). A Novel Forgery Detection Algorithm Based on Mantissa Distribution in Digital Images. Proceedings of 6th Iranian Conference on Signal Processing and Intelligent Systems (ICSPIS), pp. 1-4. DOI:10.1109/ICSPIS51611.2020.9349611.
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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 (1969). The Peculiar Distribution of First Digits. Scientific American 221(6), pp. 109-120. ISSN/ISBN:0036-8733. DOI: 10.1038/scientificamerican1269-109.
|
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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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Sheng, G, Li, T, Su, Q, Chen, B and Tang, Y (2017). Detection of content-aware image resizing based on Benford’s law. Soft Computing 21, pp. 5693–5701. DOI:10.1007/s00500-016-2146-6.
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Tošić, A and Vičič, J (2021). Use of Benford's law on academic publishing networks. Journal of Informetrics 15(3), 101163. DOI:10.1016/j.joi.2021.101163.
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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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Wells, K, Chiverton, J, Partridge, M, Barry, M, Kadhem, H and Ott, B (2007). Quantifying the Partial Volume Effect in PET Using Benford's Law. IEEE Transactions on Nuclear Science 54(5), pp. 1616-1625 Part 1. ISSN/ISBN:0018-9499. DOI:10.1109/TNS.2007.903182.
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Yan, X, Yang, S-G, Kim, BJ and Minnhagen, P (2017). Benford's Law and First Letter of Word. Physica A: Statistical Mechanics and its Applications 512, pp. 305-315. DOI:10.1016/j.physa.2018.08.133.
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Yang, Y (2021). Evaluation and correction of electricity consumption statistics based on Benford-Zipf. IOP Conf. Series: Earth and Environmental Science 692 pp. 022008. DOI:10.1088/1755-1315/692/2/022008.
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