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Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, pp. 1-126.

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Arshadi, L and Jahangir, AH (2014). Benford's law behavior of Internet traffic. Journal of Network and Computer Applications, Volume 40, April 2014, pp. 194–205. ISSN/ISBN:1084-8045. DOI:10.1016/j.jnca.2013.09.007. View Complete Reference Online information Works that this work references Works that reference this work
Aschwanden, D and Diekmann, A (2011). Analyse der Schweizer Nationalratswahlen von 2007 mit dem Benford’schen Gesetz. Gruppenarbeit an der ETH Zürich, betreut von Prof. Andreas Diekmann. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ausloos, M, Herteliu, C and Ileanu, B-V (2015). Breakdown of Benford’s law for birth data. Physica A: Statistical Mechanics and its Applications Volume 419, pp. 736–745. ISSN/ISBN:0378-4371. DOI:10.1016/j.physa.2014.10.041. View Complete Reference Online information Works that this work references Works that reference this work
Barabesi, L, Cerasa, A, Cerioli, A and Perrotta, D (2018). Goodness-of-fit testing for the Newcomb-Benford law with application to the detection of customs fraud. Journal of Business & Economic Statistics 36(2), pp. 346-358. DOI:10.1080/07350015.2016.1172014. View Complete Reference Online information Works that this work references Works that reference this work
Barabesi, L, Cerioli, A and Perrotta, D (2021). Forum on Benford’s law and statistical methods for the detection of frauds. Statistical Methods & Applications 30, pp. 767–778. DOI:10.1007/s10260-021-00588-0. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Basrak, B and Varga, I (2013). Benford's law. Math.e 23(1), pp. 1-6. HRV View Complete Reference Online information Works that this work references Works that reference this work
Baumeister, J and Macedo, TG (2011). Von den Zufallszahlen und ihrem Gebrauch. Stand: 21, November 2011. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Becker, T, Burt, D, Corcoran, TC, Greaves-Tunnell, A, Iafrate, JR, Jing, J, Miller, SJ, Porfilio, JD, Ronan, R, Samranvedhya, J, Strauch, FW and Talbut, B (2018). Benford's Law and Continuous Dependent Random Variables. Annals of Physics 388, pp. 350–381. DOI:10.1016/j.aop.2017.11.013. View Complete Reference Online information Works that this work references Works that reference this work
Becker, T, Corcoran, TC, Greaves-Tunnell, A, Iafrate, JR, Jing, J, Miller, SJ, Porfilio, JD, Ronan, R, Samranvedhya, J and Strauch, FW (2013). Benford's Law and Continuous Dependent Random Variables. Preprint arXiv:1309.5603 [math.PR]; last accessed October 23, 2018. DOI:10.1016/j.aop.2017.11.013. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Eshun, G (2014). Benford solutions of linear difference equations. Theory and Applications of Difference Equations and Discrete Dynamical Systems, Springer Proceedings in Mathematics & Statistics Volume 102, pp. 23-60. ISSN/ISBN:978-3-662-44139-8. DOI:10.1007/978-3-662-44140-4_2. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Eshun, G (2016). A characterization of Benford's law in discrete-time linear systems. Journal of Dynamics and Differential Equations 28(2), pp. 432-469. ISSN/ISBN:1040-7294. DOI:10.1007/s10884-014-9393-y. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Evans, SN (2013). A Limit Theorem for Occupation Measures of Lévy Processes in Compact Groups. Stochastics and Dynamics 13(1), p. 1250008. DOI:10.1142/S0219493712500086. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062. View Complete Reference Online information Works that this work references Works that reference this work
Brandolini, L and Travaglini, G (2012). La legge di Benford. Posted on: http://pmf.cilea.it/file.php/1/articoli/PMF2012_Benford.pdf; last retrieved June 8, 2018 . ITA View Complete Reference Online information Works that this work references No Bibliography works reference this work
Burgos, A and Santos, A (2021). The Newcomb–Benford law: Scale invariance and a simple Markov process based on it (Previous title: The Newcomb–Benford law: Do physicists use more frequently the key 1 than the key 9?). Preprint arXiv:2101.12068 [physics.pop-ph]; last accessed October 5, 2021. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2017). Leading Digits of Mersenne Numbers. Preprint in arXiv:1712.04425 [math.NT]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2019). Leading digits of Mersenne numbers. Experimental Mathematics, to appear. DOI:10.1080/10586458.2018.1551162. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Hildebrand, AJ and Li, J (2018). A local Benford Law for a class of arithmetic sequences. Preprint arXiv:1808.01496 [math.NT]; last accessed October 22, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Hildebrand, AJ and Li, J (2019). A local Benford law for a class or arithmetic sequences. International Journal of Number Theory 15(3), pp.613-638. DOI:10.1142/S1793042119500325. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Chen, C-W, Yu, S-Y and Chen, H-Y (2021). Investigation of Benford’s Law with YouTube Social Media Statistics. Journal of Student Research (High School Edition) 10(3). ISSN/ISBN:2167-1907. DOI:10.47611/jsrhs.v10i3.1677. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chenavier, N, Massé, B and Schneider, D (2018). Products of random variables and the first digit phenomenon. Preprint arXiv:1512.06049 [math.PR]; last accessed January 9, 2019. View Complete Reference Online information Works that this work references Works that reference this work
Chi, D (2020). First Digit Phenomenon in Number Generation Under Uncertainty: Through the Lens of Benford’s Law. Master's thesis, School of Psychology, University of Sydney. View Complete Reference Online information Works that this work references Works that reference this work
Cinelli, C (2017). Benford analysis for data validation and Forensic analytics. Online software R package benford.analysis V. 0.1.4.1. View Complete Reference Online information Works that this work references Works that reference this work
Clippe, P and Ausloos, M (2012). Benford's law and Theil transform of financial data. Physica A: Statistical Mechanics and its Applications 391(24), pp. 6556–6567. View Complete Reference Online information Works that this work references Works that reference this work
Fonseca, PMT da (2016). Digit analysis using Benford's Law: A Bayesian approach. Masters Thesis, ISEG - Instituto Superior de Economia e Gestão, Lisbon School of Economics & Management, Portugal. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fox, RF and Hill, TP (2014). Hubble’s Law Implies Benford’s Law for Distances to Stars. Prerprint Physics arXiv; posted on December 4, 2014. View Complete Reference Online information Works that this work references Works that reference this work
Friar, JL, Goldman, T and Pérez-Mercader, J (2016). Ubiquity of Benford’s law and emergence of the reciprocal distribution. Physics Letters A 380(22), pp. 1895–1899. ISSN/ISBN:0375-9601. DOI:10.1016/j.physleta.2016.03.045. View Complete Reference Online information Works that this work references Works that reference this work
Glogić, E and Jasak, Z (2021). Benford's Law in Forensic Analysis of Registered Turnover. Journal of Forensic Accounting Profession 1(1), pp. 50-60. DOI:10.2478/jfap-2021-0004. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gonsalves, RA (2020). Benford’s Law — A Simple Explanation. Posted on towardsdatascience.com blog October 1; last accessed October 10, 2020. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Goodman, WM (2013). Reality Checks for a Distributional Assumption: The Case of “Benford’s Law”. JSM Proceedings. Alexandria, VA: American Statistical Association (2013), pp. 2789-2803. (Also published on the Statistical Literacy website, at URL: http://www.statlit.org/pdf/2013-Goodman-ASA.pdf) . View Complete Reference Online information Works that this work references Works that reference this work
Hassler, U and Hosseinkouchack, M (2019). Testing the Newcomb-Benford Law: experimental evidence. Applied Economics Letters, pp. 1-8. DOI: 10.1080/13504851.2019.1597248. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (2015). Benford's Law. In: The Princeton Companion to Applied Mathematics, N.J. Higham (Ed.), Princeton University Press: Princeton, NJ, pp. 135-137 . ISSN/ISBN:978-0691150390. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Hoppe, FM (2016). Benford's Law and Distractors in Multiple Choice Exams. International Journal of Mathematical Education in Science and Technology, 47(4), pp. 606–612. DOI:10.1080/0020739X.2015.1091515. View Complete Reference Online information Works that this work references Works that reference this work
Iorliam, A, Tirunagari, S, Ho, ATS, Li, S, Waller, A and Poh, N (2017). "Flow Size Difference" Can Make a Difference: Detecting Malicious TCP Network Flows Based on Benford's Law. arXiv:1609.04214v2 [cs.CR], last accessed February 6, 2017. View Complete Reference Online information Works that this work references Works that reference this work
Jasak, Z (2011). Benford’s Law and Invariances. Journal of Mathematics and System Science, Volume 1, No.1 (Serial No.1). ISSN/ISBN:2159-5291. View Complete Reference No online information available Works that this work references Works that reference this work
Jasak, Z (2015). Benford's Law and Arithmetic Sequences. Journal of Mathematical Sciences: Advances and Applications, 32, pp. 1-16. ISSN/ISBN:0974-5750. View Complete Reference Online information Works that this work references Works that reference this work
Jasak, Z (2017). Sum invariance testing and some new properties of Benford's law. Doctorial Dissertation, University of Tuzla, Bosnia and Herzegovina. View Complete Reference Online information Works that this work references Works that reference this work
Joksimović, D, Knežević, G, Pavlović, V, Ljubić, M and Surovy, V (2017). Some Aspects of the Application of Benford’s Law in the Analysis of the Data Set Anomalies. In: Knowledge Discovery in Cyberspace: Statistical Analysis and Predictive Modeling. New York: Nova Science Publishers, pp. 85–120. ISSN/ISBN:978-1-53610-566-7. View Complete Reference Online information Works that this work references Works that reference this work
Kennedy, AP and Yam, SCP (2020). On the authenticity of COVID-19 case figures. PLoS ONE 15(12): e0243123. DOI:10.1371/journal.pone.0243123. View Complete Reference Online information Works that this work references Works that reference this work
Khosravani, A and Rasinariu, C (2013). n-Digit Benford Distributed Random Variables. Advances and Applications in Statistics, 36, pp. 119-130. View Complete Reference Online information Works that this work references Works that reference this work
Khosravani, A and Rasinariu, C (2015). n-digit Benford converges to Benford. Int. J. Math. Math. Sci. 2015, Art. ID 123816, 4 pp. 60F25 (11K45). DOI:10.1155/2015/123816. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Khosravani, A and Rasinariu, C (2018). Emergence of Benford's Law in Classical Music. Journal of Mathematical Sciences: Advances and Applications 54, pp. 11-24. DOI:10.18642/jmsaa_7100122017. View Complete Reference Online information Works that this work references Works that reference this work
Kirchner, M and Chakraborty, S (2015). A second look at first significant digit histogram restoration. Proceedings of 2015 IEEE International Workshop on Information Forensics and Security (WIFS), Rome, pp. 1-6. DOI:10.1109/WIFS.2015.7368578. View Complete Reference Online information Works that this work references Works that reference this work
Kovačić, M and Mateješ, J (2018). Benfordov zakon kao kontrolni mehanizam u računovodstvu i reviziji [Benford's law as a control mechanism in accounting and auditing]. Zbornik Ekonomskog fakulteta u Zagrebu [Proceedings of the Faculty of Economics and Business in Zagreb] 16(2), pp. 1–19. DOI:10.22598/zefzg.2018.2.1. HRV View Complete Reference Online information Works that this work references Works that reference this work
Li, Q and Fu, Z (2016). Quantifying non-stationarity effects on organization of atmospheric turbulent eddy motion by Benford’s law. Commun Nonlinear Sci Numer Simulat 33, pp. 91–98. DOI:10.1016/j.cnsns.2015.09.006. View Complete Reference Online information Works that this work references Works that reference this work
Li, Q, Fu, Z and Yuan, N (2015). Beyond Benford's Law: Distinguishing Noise from Chaos. PLoS ONE, 10, e0129161. DOI:10.1371/journal.pone.0129161. View Complete Reference Online information Works that this work references Works that reference this work
Macías, ALO and Ogua, ST (2018). Encontrando datos anómalos en la tributación. Aplicación de la Ley de Benford en el Impuesto a la Renta en Ecuador [Finding anomalous data in taxation. Application of the Benford Law on Income Tax in Ecuador]. SaberEs 10(2), pp. 173-188. SPA View Complete Reference Online information Works that this work references Works that reference this work
Manack, C and Miller, SJ (2015). Leading digit laws on linear Lie groups. Research in Number Theory 1:22. DOI:10.1007/s40993-015-0024-4. View Complete Reference Online information Works that this work references Works that reference this work
Martínez-Sánchez, F (2021). Tracking The Price of Almonds in Spain. Journal of Competition Law & Economics, nhab002. DOI:10.1093/joclec/nhab002. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Massé, B (2021). Random walks on the circle and measure of irrationality. Research Report, Université du littoral côte d'Opale. View Complete Reference Online information Works that this work references Works that reference this work
Massé, B (2021). Random subsequences of αn with asymptotically independent successive terms. Research Report, Université du Littoral - Côte d'Opale. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Melita, MD and Miraglia, JE (2021). On the applicability of Benford law to exoplanetary and asteroid data. New Astronomy, p. 101654. DOI:10.1016/j.newast.2021.101654. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Miller, SJ (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford. ISSN/ISBN:978-0-691-14761-1. View Complete Reference Online information Works that this work references Works that reference this work
Miraglia, JE and Gravielle, MS (2021). The atomic ionization, capture, and stopping cross sections by multicharged ions satisfy the Benford law. Preprint arXiv:2106.06099 [physics.atom-ph]; last accessed June 18, 2021. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mocnik, F-J (2021). Benford's law and geographical information - the example of OpenStreetMap. International Journal of Geographical Information Science. DOI:10.1080/13658816.2020.1829627. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mumic, N and Filzmoser, P (2021). A multivariate test for detecting fraud based on Benford’s law, with application to music streaming data. Statistical Methods & Applications. DOI:10.1007/s10260-021-00582-6. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Palacios, NT (2020). Benford's Law. History, mathematical justification and applications. Degree in Statistics Final Degree Project, Universidad de Valladolid. Facultad de Ciencias. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Papić, M, Vudrić, N and Jerin, K (2017). Benfordov zakon i njegova primjena u forenzičkom računovodstvu [Benford's Law and Its Application in Forensic Accounting]. Zbornik sveučilišta Libertas, Vol. 1-2 No. 1-2, pp. 153-172. BOS View Complete Reference Online information Works that this work references Works that reference this work
Pavlović, V, Knežević, G, Joksimović, M and Joksimović, D (2019). Fraud Detection in Financial Statements Applying Benford's Law with Monte Carlo Simulation. Acta oeconomica 69(2), pp.217-239. DOI:10.1556/032.2019.69.2.4. View Complete Reference Online information Works that this work references Works that reference this work
Pierzgalski, M (2018). Odkrywanie fałszerstw wyborczych a „prawo” Benforda [Discovering Election Fraud and Benford’s “Law”]. Preprint, last accessed Apr 25, 2019. DOI:10.14746/ssp.2018.1.7. POL View Complete Reference Online information Works that this work references No Bibliography works reference this work
Plaček, M (2012). Benfordův zákon, fakta a mýty [Benford´s law, facts and myths]. New Trends 2012 - Proceedings of 7th international scientific conference. Private College of Economics Studies Znojmo, pp. 193-199. CZE View Complete Reference Online information Works that this work references Works that reference this work
Plaček, M (2014). Aplikace Benfordova zákona na vládní makroekonomická data: případ obchodní bilance. Trendy ekonomiky a managementu VIII, č. 19, pp. 45-51. ISSN/ISBN:1802-8527. CZE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Plaček, M (2014). Applying Benford’s law by testing the government macroeconomics data. Acta academica karviniensia 14(3), pp. 148-160. DOI:10.25142/aak.2014.056. View Complete Reference Online information Works that this work references Works that reference this work
Pomykacz, M, Olmsted, C and Tantinan, K (2017). Benford’s Law in Appraisal. The Appraisal Journal, Fall, pp. 274-284. View Complete Reference Online information Works that this work references Works that reference this work
Qin, L, Han, S, Xing, L, Zhang, Jia, Zhang, Jin, Yang, R and Wu, J (2019). Application Research of Benford's Law in Testing Agrometeorological Data. IOP Conf. Series: Earth and Environmental Science 310, 052030 . DOI:10.1088/1755-1315/310/5/052030. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Richter, R (2015). Em busca de transparência: a Lei de Benford aplicada às despesas eleitorais. Monografia (Bacharelado em Ciências Econômicas)- Universidade de Brasília, Brasília. POR View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shi, J, Ausloos, M and Zhu, T (2018). Benford's law is the first significant digit and distribution distances for testing the reliability of financial reports in developing countries. Physica A: Statistical Mechanics and its Applications 492(1), pp. 878-888. DOI:10.1016/j.physa.2017.11.017. View Complete Reference Online information Works that this work references Works that reference this work
Shukla, A, Pandey, AK and Pathak, A (2017). Benford’s distribution in extrasolar world: Do the exoplanets follow Benford’s distribution?. Journal of Astrophysics and Astronomy JOAA-D-16-00138, 38(7). DOI:10.1007/s12036-017-9427-z. View Complete Reference Online information Works that this work references Works that reference this work
Singh, N and Bansal, R (2015). Analysis of Benford's law in digital image forensics. Proceedings of 2015 International Conference on Signal Processing and Communication (ICSC), pp. 413-418. DOI:10.1109/ICSPCom.2015.7150688. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Slepkov, AD, Ironside, KB and DeBattista, D (2013). Benford's Law: Textbook Exercises and Multiple-choice Testbanks. Preprint posted on physics arXiv - submitted 19 November 2013. View Complete Reference Online information Works that this work references Works that reference this work
Slepkov, AD, Ironside, KB and DiBattista, D (2015). Benford’s Law: Textbook Exercises and Multiple-Choice Testbanks. PLoS ONE 10(2): e0117972. DOI:10.1371/journal.pone.0117972. View Complete Reference Online information Works that this work references Works that reference this work
Spichal, L (2021). Benfordův zákon. Unpublished manuscript. CZE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sun, L, Ho, ATS, Xia, Z, Chen, J, Huang, X and Zhang, Y (2017). Detection and Classification of Malicious Patterns In Network Traffic Using Benford’s Law. 2017 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), Kuala Lumpur, pp. 864-872. DOI:10.1109/APSIPA.2017.8282154. View Complete Reference Online information Works that this work references Works that reference this work
Taimori, A, Razzazi, F, Behrad, A, Ahmadi, A and Babaie-Zadeh, M (2012). A proper transform for satisfying Benford's Law and its application to double JPEG image forensics. Proceedings of 2012 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT), pp. 000240-000244. DOI:10.1109/ISSPIT.2012.6621294. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Uhlig, N (2016). Rundum das Benfordsche Gesetz. Diploma thesis, University of Leipzig, Fakultät für Mathematik und Informatik. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Valadier, M (2012). The Benford phenomenon for random variables. Discussion of Feller's way. Math arXiv:1203.2518; posted 19 Apr 2012. View Complete Reference Online information Works that this work references Works that reference this work
Vičič, J and Tošić, A (2021). Application of Benford’s law on cryptocurrencies. Preprints 2021, 2021110472. DOI:10.20944/preprints202111.0472.v1. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wojcik, MR (2013). How fast increasing powers of a continuous random variable converge to Benford’s law. Statistics and Probability Letters 83, pp. 2688–2692. ISSN/ISBN:0167-7152. DOI:10.1016/j.spl.2013.09.003. View Complete Reference Online information Works that this work references Works that reference this work
Wojcik, MR (2013). Notes on scale-invariance and base-invariance for Benford's Law. arXiv:1307.3620 [math.PR]. View Complete Reference Online information Works that this work references Works that reference this work
Wojcik, MR (2014). A characterization of Benford’s law through generalized scale-invariance. Mathematical Social Sciences, Volume 71, September 2014, pp. 1–5. DOI:10.1016/j.mathsocsci.2014.03.006. View Complete Reference Online information Works that this work references Works that reference this work
Wong, WK, Juwono, FH, Loh, WN and Ngu, IY (2020). Newcomb-Benford Law Analysis on COVID-19 Daily Infection Cases and Deaths in Indonesia and Malaysia. Research Square preprint. DOI:10.21203/rs.3.rs-131072/v1. View Complete Reference Online information Works that this work references Works that reference this work