Benford Online Bibliography

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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Abate, GT, de Brauw, A, Gibson, J, Hirvonen, K and Wolle, A (2020). Telescoping causes overstatement in recalled food consumption: Evidence from a survey experiment in Ethiopia. IFPRI Discussion Paper 1976. Washington, DC: International Food Policy Research Institute (IFPRI). DOI:10.2499/p15738coll2.134161.
Abrantes-Metz, RM, Kraten, M, Metz, AD and Seow, G (2012). Libor Manipulation?. Journal of Banking & Finance 36(1), pp. 136-150. ISSN/ISBN:0378-4266. DOI:10.1016/j.jbankfin.2011.06.014.
Abrantes-Metz, RM and Villas-Boas, SB (2010). Tracking the Libor Rate. Available at SSRN: https://ssrn.com/abstract=1646600. DOI:10.2139/ssrn.1646600.
Abrantes-Metz, RM, Villas-Boas, SB and Judge, G (2011). Tracking the Libor rate. Applied Economics Letters 18(10), pp. 893-899. ISSN/ISBN:1466-4291. DOI:10.1080/13504851.2010.515197.
Adhikari, AK (1969). Some Results on Distribution of Most Significant Digit. Sankhya-The Indian Journal of Statistics Series B, 31 (Dec), pp. 413-420. ISSN/ISBN:0581-5738.
Adhikari, AK and Sarkar, BP (1968). Distribution of most significant digit in certain functions whose arguments are random variables. Sankhya-The Indian Journal of Statistics Series B, no. 30, pp. 47-58. ISSN/ISBN:0581-5738.
Afanasiev, S, Smirnova, A and Kotereva, D (2021). Itsy Bitsy SpiderNet: Fully Connected Residual Network for Fraud Detection. Preprint arXiv:2105.08120 [cs.LG]; last accessed May 24, 2021.
Aggarwal, V and Dharni, K (2020). Deshelling the Shell Companies Using Benford’s Law: An Emerging Market Study. Vikalpa 45(3), pp. 160-169. DOI:10.1177/0256090920979695.
Agyemang, EF, Nortey, ENN, Minkah, R and Asah-Asante, K (2023). The unfolding mystery of the numbers: First and second digits based comparative tests and its application to ghana’s elections. Model Assisted Statistics and Applications 18(2), pp. 183-192. DOI:10.3233/MAS-221418.
Ahmad, S, Latif, DA, Mahmood, DM, Aslam, R, Abiddin, ZU, Mumtaz, H, Ahmed, K, Mehdi, W and begum, W (2022). Terminal digit preference and the accuracy of breast cancer diameter reporting based on Benford's law. Annals of Medicine and Surgery. DOI:10.1016/ j.amsu.2022.103993.
Akkaş, ME (2007). Denetimde Benford Kanununun Uygulanmasi (Application of Benford's Law in Audit). Gazi Universitesi Iktisadi ve Idari Bilimler Fakultesi Dergisi, vol.9, no.1, pp. 191-206. TUR
Akkaş, ME (2015). Altın Getirileri Dağılımının Newcomb-Benford Kanunu İle Testi [Testing Distribution of Gold Returns by Newcomb-Benford Law]. Uluslararası Sosyal Araştırmalar Dergisi 8(40), pp. 577-584. DOI:10.17719/jisr.20154013940. TUR
Al-Bandawi, H and Deng, G (2018). Blind image quality assessment based on Benford's law. IET Image Processing 12(11), pp. 1983 – 1993. DOI:10.1049/iet-ipr.2018.5385 .
Al-Bandawi, H and Deng, G (2019). Classification of image distortion based on the generalized Benford’s law. Multimedia Tools and Applications, pp. 1-18. DOI:10.1007/s11042-019-7668-3.
Al-Rawashdeh, F (2017). Applying Benford's law into Jordanian insurance companies to identify earning's manipulations. Business and Economic Horizons 13(2), pp. 210-223. DOI:10.15208/beh.2017.16.
Alagöz, A and Ay, M (2001). Muhasebe denetiminde Benford kanunu temelli dijital analiz [Benford's law-based digital analysis in auditing]. Selçuk Üniversitesi Sosyal ve Ekonomik Araştırmalar Dergisi 4, pp. 59-76. TUR
Alali, FA and Romero, S (2013). Benford’s Law: Analyzing a decade of financial data. Journal of Emerging Technologies in Accounting Vol. 10, No. 1, pp. 1-39. DOI:10.2308/jeta-50749.
Aleksandrova, EB, Lavrova, DS and Yarmak, AV (2019). Benford’s Law in the Detection of DoS Attacks on Industrial Systems. Automatic Control and Computer Sciences 53(8), pp. 954–962. DOI:10.3103/S0146411619080030.
Alexander, J (2009). Remarks on the use of Benford's law. Social Science Research Network (November 13, 2009). Available at SSRN: http://ssrn.com/abstract=1505147 or . DOI:10.2139/ssrn.1505147.
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.
Ali, A and Haque, S (2022). Application of Benford’s law to COVID-19 cases in selected countries of the Caribbean and globally. Caribbean Medical Journal. ISSN/ISBN:2664-5599.
Alipour, A and Alipour, S (2019). Application of Benford’s Law in Analyzing Geotechnical Data. Civil Engineering Infrastructures Journal 52(2), pp. 323 – 334. DOI:10.22059/ceij.2019.272005.1534.
Allen, DP (1999). A new approach to the first digit phenomenon. The Toth-Maatian Review 14(3), pp. 6839-6847.
Altamirano, C and Robledo, A (2009). Generalized Thermodynamics underlying the laws of Zipf and Benford. In: J. Zhou (ed.), Complex Sciences 2009, Part II, LNICST 5, pp. 2232-2237. ISSN/ISBN:1867-8211. DOI:10.1007/978-3-642-02469-6_100.
Altamirano, C and Robledo, A (2011). Possible thermodynamic structure underlying the laws of Zipf and Benford. Eur. Phys. J. B 81, pp. 345-351. ISSN/ISBN:1434-6036. DOI:10.1140/epjb/e2011-10968-5.
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.
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.
Alves, AM and Lyra, CS (2008). Manchas Solares y la Ley de Newcomb-Benford. . RELEA 6, pp. 21-31. DOI:10.37156/RELEA/2008.06.021. SPA
Amanda Bowman, A (2016). Contributions to the Testing of Benford's Law. Masters Thesis, McMaster University, Hamilton, Canada.
Amiram, D, Bozanic, Z and Rouen, E (2015). Financial statement errors: evidence from the distributional properties of financial statement numbers. Review of Accounting Studies 20(4), pp. 1540–1593. DOI:10.1007/s11142-015-9333-z.
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Amouzegar, MA, Moshirvaziri, K and Snyder, D (2018). Benford's Law And Its Application To Modern Information Security. Proceedings of 47th Annual Meeting of WDSI (Western Decision Sciences Institute) .
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Anderson, TC, Rolen, L and Stoehr, R (2011). Benford's Law for Coefficients of Modular Forms and Partition Functions. Proceedings of the American Mathematical Society, Vol. 139, No. 5, May 2011, pp. 1533-1541. ISSN/ISBN:0002-9939.
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Aono, JY and Guan, L (2008). The Impact of Sarbanes-Oxley Act on Cosmetic Earnings Management. Research in Accounting Regulation, Vol. 20, pp. 205–215. ISSN/ISBN:1052-0457. DOI:10.1016/S1052-0457(07)00212-3.
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Arita, M (2005). Scale-freeness and biological networks. Journal of Biochemistry, 138 (1): 1-4. ISSN/ISBN:0021-924X. DOI:10.1093/jb/mvi094.
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.
Arslan, U, Calıyurt, KT and Kahyaoglu, SB (2024). Financial statement anomaly detection based on Benford law and Beneish model: Case of a public sector hospital. The EDP Audit, Control, and Security Newsletter Volume 69, 2024, pp 69-87. DOI:10.1080/07366981.2024.2312018.
Asadi, AN (2015). An approach for detecting anomalies by assessing the inter-arrival time of UDP packets and flows using Benford's law. 2nd International Conference on Knowledge-Based Engineering and Innovation (KBEI), Tehran, pp. 257-262. DOI:10.1109/KBEI.2015.7436057.
Ashcraft, MH (1992). Cognitive arithmetic: A review of data and theory. Cognition 44 (Aug), pp. 75-106. ISSN/ISBN:0010-0277. DOI:10.1016/0010-0277(92)90051-I.
Ashcraft, MH and Christy, KS (1995). The Frequency of Arithmetic Facts in Elementary Texts: Addition and Multiplication in Grades 1-6. Journal for Research in Mathematics Education 26(5), pp. 396-421.
Asllani, A and Naco, M (2014). Using Benford’s Law for Fraud Detection in Accounting Practices. Journal of Social Science Studies 2(1), pp. 129-143. DOI:10.5296/jsss.v2i1.6395.
Auffhammer, M and Carson, RT (2007). Forecasting the Path of China’s CO2 Emissions: Offsetting Kyoto - And Then Some. Department of Agricultural & Resource Economics, UCB CUDARE Working Papers no. 971 (University of California, Berkeley).
Auffhammer, M and Carson, RT (2008). Forecasting the path of China's CO₂ emissions using province-level information. J. Environ. Econ. Manage. 55(3), pp. 229-247. ISSN/ISBN:0095-0696. DOI:10.1016/j.jeem.2007.10.002.
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Ausloos, M, Cerqueti, R and Lupi, C (2017). Long-range properties and data validity for hydrogeological time series: The case of the Paglia river. Physica A: Statistical Mechanics and its Applications 470, pp. 39-50. DOI:10.1016/j.physa.2016.11.137.
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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.
Ay, B and Efrem, N (2021). Benford’s law applied to sale prices on the Swedish housing market. Bachelor thesis, Department of Statistics Nr 2021:13, Stockholms Universitet.
Aybars, A and Ataunal, L (2016). An application of Benford’s law to fundamental accounting figures reported by Borsa Istanbul (BIST) companies. Journal of Economics, Finance and Accounting 3(3), pp. 234-243. DOI:10.17261/Pressacademia.2016321991.
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Becker, PW (1982). Patterns in Listings of Failure-Rate and MTTF Values and Listings of Other Data. IEEE Transactions on Reliability 31(2), 132-134. ISSN/ISBN:0018-9529.
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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.
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Berger, A (2005). Dynamics and digits: on the ubiquity of Benford’s law. In: F. Dumortier, H. Broer, J. Mahwin, A. Vanderbauwhede, S. Verduyn Lunel (eds): Proceedings of Equadiff 2003. World Scientific, pp. 693-695. DOI:10.1142/9789812702067_0115 .
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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.
Berger, A and Hill, TP (2007). Newton’s method obeys Benford’s law. American Mathematical Monthly 114 (7), pp. 588-601. ISSN/ISBN:0002-9890.
Berger, A and Hill, TP (2010). Fundamental Flaws in Feller’s Classical Derivation of Benford’s Law. University of Alberta preprint; posted on math arXiv 14May 2010.
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.
Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, pp. 1-126. DOI:10.1214/11-PS175.
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062.
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Cross Reference Up

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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