This work is cited by the following items of the Benford Online Bibliography:
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. | ||||
Bera, A, Mishra, U, Roy, SS, Biswas, A, Sen, A and Sen, U (2018). Benford analysis of quantum critical phenomena: First digit provides high finite-size scaling exponent while first two and further are not much better. Physics Letters A 382(25), pp. 1639–1644 . DOI:10.1016/j.physleta.2018.04.020. | ||||
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062. | ||||
Blondeau Da Silva, S (2018). Benford or not Benford: new results on digits beyond the first. Preprint arXiv:1805.01291v1 [stat.OT]; last accessed July 29, 2018. | ||||
Blondeau Da Silva, S (2019). Benford or Not Benford: A Systematic But Not Always Well-Founded Use of an Elegant Law in Experimental Fields. Communications in Mathematics and Statistics, pp. 1-35. ISSN/ISBN:2194-6701. DOI:10.1007/s40304-018-00172-1. | ||||
Blondeau da Silva, S (2019). BeyondBenford: An R Package to Determine Which of Benford’s or BDS’s Distributions is the Most Relevant. Preprint hal-02310013; also posted on arXiv:1910.06104 [physics.soc-ph]; last accessed October 21, 2019. | ||||
Blondeau Da Silva, S (2020). Limits of Benford’s Law in Experimental Field. International Journal of Applied Mathematics 33(4), pp. 685-695. DOI:10.12732/ijam.v33i4.12. | ||||
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 August 8, 2022; Published Am. J. Phys. 89, pp. 851-861. | ||||
Busta, B and Sundheim, R (1992). Detecting manipulated tax returns with the use of Benford's Law. Center for Business Research Working Paper W95-106-94, St. Cloud State University, Minnesota. | ||||
Busta, B and Weinberg, R (1998). Using Benford’s law and neural networks as a review procedure. Managerial Auditing Journal 13(6), pp. 356-366. DOI:10.1108/02686909810222375. | ||||
Cabarle, C (2018). Using Benford’s law to predict the risk of financial statement fraud in equity crowd funding offerings. Proceedings of 2018 Engaged management scholarship conference, Philadelphia, PA.. DOI:10.2139/ssrn.3240900. | ||||
Cabarle, C (2019). Predicting the Risk of Fraud in Equity Crowdfunding Offers and Assessing the Wisdom of the Crowd. PhD Thesis, Temple University, ProQuest Dissertations Publishing, 2019. 13863507. | ||||
Cinko, M (2014). Testing distribution of BIST-100 returns by Benford law. Journal of Economics, Finance and Accounting – (JEFA) 1(3), pp.184–191. TUR | ||||
Ciofalo, M (2009). Entropy, Benford’s first digit law, and the distribution of everything. Unpublished manuscript. | ||||
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. | ||||
Cong, M, Li, C and Ma, B-Q (2019). First digit law from Laplace transform. Phys. Lett. A, 383(16), pp. 1836-1844. DOI:10.1016/j.physleta.2019.03.017 . | ||||
Cong, M and Ma, B-Q (2019). A Proof of First Digit Law from Laplace Transform. Chinese Physics Letters, 36, 7, 070201. DOI:10.1088/0256-307X/36/7/070201. | ||||
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. | ||||
Dahlstrom, KL and Clegg, CP (2015). The DNA of Scripture. Westbow Press: Bloomington, IN. ISSN/ISBN:978-1-4908-7600-9. | ||||
Davic, RD (2022). Correspondence of Newcomb-Benford law with ecological processes . Posted on bioRxiv preprint server of Cold Springs Harbor Laboratory June 27, 2022 . DOI:10.1101/2022.06.27.497806. | ||||
Fang, G (2022). Investigating Hill’s question for some probability distributions. AIP Advances 12, 095004. DOI:10.1063/5.0100429. | ||||
Fang, G and Chen, Q (2019). Several common probability distributions obey Benford’s law. Physica A: Statistical Mechanics and its Applications, 123129 . DOI:10.1016/j.physa.2019.123129. | ||||
Farkas, J and Gyürky, G (2010). The significance of using the Newcomb-Benford law as a test of nuclear half-life calculations. Acta Physica Polonica B 41(6), pp. 1213-1221. ISSN/ISBN:PL 0587-4254. | ||||
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. | ||||
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 | ||||
Gauvrit, N and Delahaye, J-P (2009). Scatter and regularity imply Benford's Law ... and more. Preprint arXiv: 0910.1359 [math.PR]; last accessed July 18, 2018 . | ||||
Gauvrit, N and Delahaye, J-P (2011). Scatter and Regularity Implies Benford's Law... and More. in H. Zenil (Ed.) Randomness Through Complexity, Singapore, World Scientific, 53-69. ISSN/ISBN:13978-981-4327-74-9. | ||||
Gava, AM and Vitiello, L (2014). Inflation, Quarterly Balance Sheets and the Possibility of Fraud: Benford's Law and the Brazilian case. Journal of Accounting, Business & Management Vol. 21 Issue 1, pp. 43-52. ISSN/ISBN:0216-423X. | ||||
Gava, AM and Vitiello, LRdS (2007). Inflation, Quarterly Financial Statements and Fraud: Benford’s Law and the Brazilian Case. XXXI Encontro da ANPAD, Rio de Janeiro, Sep 22-26, 2007. | ||||
Göb, R (2007). Data Conformance Testing by Digital Analysis - A Critical Review and an Approach to More Appropriate Testing. Quality Engineering Volume 19(4), pp. 281-297. DOI:10.1080/08982110701633721. | ||||
Gramm, R, Yost, J, Su, Q and Grobe, R (2017). Applications of the first digit law to measure correlations. Phys. Rev. E 95, 042136. DOI:10.1103/PhysRevE.95.042136. | ||||
Hamadeh, N (2004). Wireless Security and Traffic Modeling Using Benford's Law. Master’s Thesis, University of New Mexico, Albuquerque, NM, 2004 (99 pgs). | ||||
Hao, X, Li, X, Wu, J, Wei, B, Song, Y and Li, B (2024). A No-Reference Quality Assessment Method for Hyperspectral Sharpened Images via Benford’s Law. Remote Sensing, 16(7):1167. | ||||
Hill, TP (1995). A Statistical Derivation of the Significant-Digit Law. Statistical Science 10(4), pp. 354-363. ISSN/ISBN:0883-4237. | ||||
Horton, J, Kumar, DK and Wood, A (2020). Detecting academic fraud using Benford law: The case of Professor James Hunton. Research Policy 49(8), 104084 . DOI:10.1016/j.respol.2020.104084. | ||||
Hürlimann, W (2003). A generalized Benford law and its application. Advances and Applications in Statistics 3(3), pp. 217-228. | ||||
Hürlimann, W (2004). Integer powers and Benford’s law. International Journal of Pure and Applied Mathematics 11(1), pp. 39-46. | ||||
Jamain, A (2001). Benford’s Law. Master Thesis. Imperial College of London and ENSIMAG. | ||||
Jiang, H, Shen, J-J and Zhao, Y-M (2011). Benford’s Law in nuclear structure physics. Chinese Physics Letters, 28(3), pp. 32101–32104. DOI:10.1088/0256-307X/28/3/032101. | ||||
Lai, H-Y and Wei, J-J (2024). First Digit Distributions of Gamma-Ray Bursts. Preprint arXiv:2401.10609 [astro-ph.HE];last accessed January 25, 2024. | ||||
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. | ||||
Levičar, S (2020). Potential of Benford's Law and Machine Learning Based Verification in Agricultural Logistics. Proceedings of XIV. International Conference on Logistics in Agriculture. DOI:10.18690/978-961-286-406-4.4. | ||||
Li, Z, Cong, L and Wang, H (2004). Discussion on Benford’s law and its application. posted on arXiv:math/0408057, Aug 4, 2004. | ||||
Liu, XJ, Zhang, XP, Ni, DD and Ren, ZZ (2011). Benford’s law and cross-sections of A(n,α)B reactions. European Physical Journal A: Hadrons and Nuclei, 47(6), p. 78. DOI:10.1140/epja/i2011-11078-3. | ||||
Luo, P and Li, Y (2018). A new quantity for statistical analysis: "Scaling invariable Benford distance''. Preprint in: arXiv:1803.01117 [physics.data-an]; last accessed October 25, 2018. | ||||
Mangalagiri, J, Jyothi, CSP and Ramya, P (2018). Benford’s Law and Stock Market - The Implications for Investors: The Evidence from India Nifty Fifty. Jindal Journal of Business Research 7(2), pp. 103–121 . DOI:10.1177/2278682118777029. | ||||
Miller, SJ (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford. ISSN/ISBN:978-0-691-14761-1. | ||||
Mir, TA (2011). Law of the leading digits and the ideological struggle for numbers. physics arXiv:1104.3948. DOI:10.1016/j.physa.2011.09.001. | ||||
Mir, TA (2012). The law of the leading digits and the world religions. Physica A: Statistical Mechanics and its Applications, 391 (2012), pp. 792-798. DOI:10.1016/j.physa.2011.09.001. | ||||
Morales, HR, Diaz, CB and Castello, RJ (2018). La Ley de Benford Aplicada a Una Base de Datos. Posible Indicador de Riesgo Inherente de La Información Contenida. 47º Jornadas Argentinas De Informática - JAIIO Simposio Argentino de GRANdes DAtos (AGRANDA 2018), pp. 32-45. ISSN/ISBN:2451-7569. SPA | ||||
Nebel, J-C and Pezzulli, S (2012). Distribution of Human Genes Observes Zipf's Law. Kingston University Research & Innovation Reports (KURIR), Vol. 8, 2012. ISSN/ISBN:1749-5652. | ||||
Ni, D and Ren, Z (2008). Benford’s law and half-lives of unstable nuclei. Eur. Phys. J. A 38, 251–255. DOI:10.1140/epja/i2008-10680-8. | ||||
Nigrini, MJ (1996). Digital Analysis and the Reduction of Auditor Litigation Risk. Proceedings of the 1996 Deloitte & Touche / University of Kansas Symposium on Auditing Problems, ed. M. Ettredge, University of Kansas, Lawrence, KS, pp. 69-81. | ||||
Nigrini, MJ (2011). Forensic Analytics: Methods and Techniques for Forensic Accounting Investigations. John Wiley & Sons: Hoboken, New Jersey; (2nd edition published in 2020, isbn 978-1-119-58576-3). ISSN/ISBN:978-0-470-89046-2. | ||||
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. | ||||
Patil, N, Mahadevan, P and Chatterjee, A (2008). A constructive empirical theory for metal fatigue under block cyclic loading. Proceedings of the Royal Society A - Mathematical Physical and Engineering Sciences 464, pp. 1161-1179. ISSN/ISBN:1364-5021. | ||||
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. | ||||
Sánchez, JLH (2002). Analisis de la megacefalia demografica urbana mediante leyes de Zipf y de potencia (Urban demographic analysis by using Zipf and potence laws). Theoria 11, 21-26. ISSN/ISBN:0717-196X. SPA | ||||
Shao, L and Ma, BQ (2009). First Digit Distribution of Hadron full width. Modern Physics Letters A, 24(40), 3275-3282. ISSN/ISBN:0217-7323. DOI:10.1142/S0217732309031223. | ||||
Shao, L and Ma, BQ (2010). Empirical mantissa distributions of pulsars. Astroparticle Physics 33, 255-262. DOI:10.1016/j.astropartphys.2010.02.003. | ||||
Shao, L and Ma, BQ (2010). The significant digit law in statistical physics. Physica A 389, 3109-3116. DOI:10.1016/j.physa.2010.04.021. | ||||
Shao, L and Ma, BQ (2010). First-digit law in nonextensive statistics. Physical Review E 82, 041110. DOI:10.1103/PhysRevE.82.041110. | ||||
Spichal, L (2021). Benfordův zákon. Unpublished manuscript. CZE | ||||
Torres, J, Fernandez, S, Gamero, A and Sola, A (2007). How do numbers begin? (The first digit law). European Journal of Physics 28(3), L17-L25. ISSN/ISBN:0143-0807. DOI:10.1088/0143-0807/28/3/N04. | ||||
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. | ||||
van Caneghem, T (2016). NPO Financial Statement Quality: An Empirical Analysis Based on Benford’s Law. International Journal of Voluntary and Nonprofit Organizations 27(6), pp. 2685–2708. DOI:10.1007/s11266-015-9629-4. | ||||
Vičič, J and Tošić, A (2022). Application of Benford’s law on cryptocurrencies. Journal of Theoretical and Applied Electronic Commerce Research 17(1), pp. 313-326. DOI:10.3390/jtaer17010016. | ||||
Vovor-Dassu, KC (2021). Tests d'adéquation à la loi de Newcomb-Benford comme outils de détection de fraudes. PhD Thesis L’Universite de Montpellier. DOI:10.13140/RG.2.2.12559.25764. FRE | ||||
Wang, L and Ma, B-Q (2023). A concise proof of Benford’s law. Fundamental Research . DOI:10.1016/j.fmre.2023.01.002. |