This work is cited by the following items of the Benford Online Bibliography:
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. | ||||
Agyemang, EF, Mensah, JA and Nyarko, E (2023). How dependable is World Continental COVID-19 data? Disclosure of Inconsistencies in Daily Reportage Confirmed Cases, Recovered and Deaths During First Wave. Preprint – submitted to Heliyon. DOI:10.2139/ssrn.4516032. | ||||
Agyemang, EF, Nortey, ENN, Minkah, R and Asah-Asante, K (2023). Baseline comparative analysis and review of election forensics: Application to Ghana’s 2012 and 2020 presidential elections. Heliyon 9 p. e18276. DOI:10.1016/j.heliyon.2023.e18276. | ||||
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 | ||||
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. | ||||
Anab, F, Khaliq, A and Younas, I (2021). A Statistical Analysis of Covid-19 Data of Pakistan by Applying Benford’s Law. Journal of Applied Pharmacy 13, pp. 55-60. | ||||
Arkan, MM (2010). Analisis Penggunaan Benford’s Law Dalam perencanaan Audit Pada Direktorat Jenderal Bea dan Cukai. [Analysis of the use of Benford's Law in planning an audit at the Directorate General of Customs and Excise]. Masters thesis, Universitas Gadjah Mada Yogyakarta, and presentation at Simposium Nasional Akuntansi XIII. Purwokerto, Indonesia. IND | ||||
Avcı, O and Demirci, Z (2016). Benford Kanunu’nun Vergi Denetiminde Kullanımı Ve Bir Örnek Uygulama [Use of Benford's Law in Tax Auditing and A Sample Application] . İnsan ve Toplum Bilimleri Araştırması Dergisi 5(7), pp. 2232-2246. DOI:10.15869/itobiad.260262. TUR | ||||
Badal-Valero, E, Alvarez-Jareño, JA and Pavía, JM (2018). Combining Benford's Law and machine learning to detect money laundering. An actual Spanish court case. Forensic Science International 282, pp. 24-34. DOI:10.1016/j.forsciint.2017.11.008. | ||||
Balashov, VS, Yan, Y and Zhu, X (2020). Who Manipulates Data During Pandemics? Evidence from Newcomb-Benford Law. Preprint arXiv:2007.14841 [econ.GN]; last accessed March 10, 2021. | ||||
Balashov, VS, Yan, Y and Zhu, X (2021). Using the Newcomb–Benford law to study the association between a country’s COVID-19 reporting accuracy and its development. Scientific Reports 11, pp. 22914. DOI:10.1038/s41598-021-02367-z. | ||||
Bao, Y, Lee, C-H, Heilig, F and Lusk, EJ (2018). Empirical information on the small size effect bias relative to the false positive rejection error for Benford test-screening. International Journal of Economics and Finance 10(2), pp. 1-9. DOI:10.5539/ijef.v10n2p1. | ||||
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. | ||||
Barabesi, L, Cerasa, A, Cerioli, A and Perrotta, D (2021). On characterizations and tests of Benford’s law. Journal of the American Statistical Association. DOI:10.1080/01621459.2021.1891927. | ||||
Barabesi, L, Cerioli, A and Di Marzio, M (2023). Statistical models and the Benford hypothesis: a unified framework. TEST. DOI:10.1007/s11749-023-00881-y. | ||||
Baryła, M and Pociecha, J (2019). Euclidean distance as a measure of conformity to Benford's law in digital analysis for fraud detection. Book of Short Papers, Proceedings of the 12th Scientific Meeting of the Classification and Data Analysis Group (CLADAG) of the Italian Statistical Society (SIS), pp. 75-78. | ||||
Baumgartner, T, Guettier, A and Kim, F (2022). Bitcoin Flash Crash on May 19, 2021: What did really happen on Binance?. Invited for presentation at the MIT Golub Center for Finance and Policy (GCFP) 2022 in Cambridge, MA. Also to be presented at the Paris December Finance Meeting 2022. | ||||
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. | ||||
Bhattacharya, S, Xu, D and Kumar, K (2010). An ANN-based auditor decision support system using Benford's Law. Decision support systems, 50 (3), pp. 576-584. | ||||
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 (2021). BeyondBenford R Package to compare Benford's and BDS's Distributions. Computer Science Journal of Moldova 29(2), p. 241-256. | ||||
Blondeau Da Silva, S (2022). An Alternative to the Oversimplifying Benford’s Law in Experimental Fields. Sankhya B. DOI:10.1007/s13571-022-00287-0. | ||||
Bond, KD, Conrad, CR, Moses, D and Simmons, JW (2021). Detecting anomalies in data on government violence. Political Science Research and Methods, pp. 1-8. DOI:10.1017/psrm.2021.40. | ||||
Branets, S (2019). Detecting money laundering with Benford’s law and machine learning . Masters Thesis, University of Tartu. | ||||
Bugarin, MS and da Cunha, FCR (2015). A didactic note on the use of Benford’s Law in public works auditing with an application to the construction of the Brazilian ‘Amazon Arena’ 2014 World Cup soccer stadium. Economia 66(1),pp. 23-55. | ||||
Bugarin, MS and da Cunha, FCR (2017). Lei de Benford aplicada à auditoria da reforma do Aeroporto Internacional de Minas Gerais. Revista Do Serviço Público 68(4), pp. 915-940. DOI:10.21874/rsp.v68i4.1567. POR | ||||
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. | ||||
Campanelli, L (2022). On the Euclidean distance statistic of Benford’s law. Communications in Statistics - Theory and Methods, pp. 1-24. DOI:10.1080/03610926.2022.2082480}. | ||||
Campanelli, L (2022). A Statistical Cryptanalysis of the Beale Ciphers. Cryptologia. DOI:10.1080/01611194.2022.2116614. | ||||
Campanelli, L (2022). Testing Benford's Law: from small to very large data sets. Spanish Journal of Statistics 4(1), pp. 41-54. DOI:10.37830/SJS.2022.1.03. | ||||
Campanelli, L (2022). Breaking Benford’s law: A statistical analysis of Covid-19 data using the Euclidean distance statistic. Preprint submitted to Statistics in Transition. | ||||
Campanelli, L (2022). Monkeypox Obeys the (Benford's) Law: A Dynamic Analysis of Daily Case Counts in the United States of America. Preprint submitted to Statistics in Tran- sition new series.. | ||||
Campanelli, L (2022). Tuning up the Kolmogorov-Smirnov test for testing Benford’s law. Preprint on ResearchGate. | ||||
Campolieti, M (2021). COVID-19 deaths in the USA: Benford’s law and under-reporting. Journal of Public Health, fdab161, pp. 1-4. DOI:10.1093/pubmed/fdab161. | ||||
Cantu, F and Saiegh, SM (2010). A Supervised Machine Learning Procedure to Detect Electoral Fraud Using Digital Analysis. Preprint posted on SSRN; last accessed August 5, 2021. DOI:10.2139/ssrn.1594406. | ||||
Cantu, F and Saiegh, SM (2011). Fraudulent Democracy? An Analysis of Argentina’s Infamous Decade Using Supervised Machine Learning. Political Analysis 19 (4), pp. 409-433. DOI:10.1093/pan/mpr033. | ||||
Ceccato, F and Bugarin, M (2017). Lei de Benford Aplicada À Auditoria da Reforma do Aeroporto Internacional de Minas Gerais [Benford's Law Applied to the Audit of the Renovation of the Minas Gerais International Airport]. Revista do Serviço Público. POR | ||||
Cerioli, A, Barabesi, L, Cerasa, A, Menegatti, M and Perrotta, D (2019). Newcomb-Benford law and the detection of frauds in international trade. Proceedings of the National Academy of Sciences 116(1), pp. 106-115. DOI:10.1073/pnas.1806617115. | ||||
Cerqueti, R and Lupi, C (2022). Severe testing of Benford’s law. Preprint arXiv:2202.05237 [stat.ME]; last accessed February 21, 2022. | ||||
Cerqueti, R and Lupi, C (2023). Severe testing of Benford's law. TEST 32(2), pp. 677-694. DOI:10.1007/s11749-023-00848-z. | ||||
Chamberlain, A and Yanus, AB (2021). Evaluating Federated Voluntary Associations’ Membership Data: An Application of Benford's Law. Social Science Quarterly pp. 1– 12. DOI:10.1111/ssqu.13015. | ||||
cheesinglee (2015). Detecting numeric irregularities with Benford’s Law. Blog posted on bigML.com, last accessed October 9, 2023. | ||||
Ciaponi, F and Mandanici, F (2014). Using Digital Frequencies To Detect Anomalies in Receivables and Payables: An Analysis of the Italian Universities. Journal of Economic and Social Development 2(1), pp. 86-108. | ||||
Cole, MA, Maddison, DJ and Zhang, L (2020). Testing the emission reduction claims of CDM projects using the Benford's Law. Climatic Change 160 (3), pp. 407–426. DOI:10.1007/s10584-019-02593-5. | ||||
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 . | ||||
Costa, JI (2012). Desenvolvimento de metodologias contabilométricas aplicadas a auditoria contábil digital: uma proposta de análise da lei de Newcomb-Benford para os Tribunais de Contas. Thesis, Universidade Federal de Pernambuco, Recife, Brasil. POR | ||||
Coufalová, L, Mikula, S and Žídek, L (2022). Misreporting in financial statements in a centrally planned economy: The case of Czechoslovak state-owned enterprises in late socialism. Accounting History. DOI:10.1177/10323732221109652. | ||||
da Silva, ASCD (2013). The application of Benford’s Law in detecting accounting fraud in the Financial Sector. Masters Thesis, Lisboa School of Economics & Management. | ||||
da Silva, CG and Carreira, PMR (2019). Estimating the Proportion of Misstated Records in an Audit Data set using Benford’s Law. Journal of Accounting, Finance and Auditing Studies 5(2), pp. 146-162. DOI:10.32602/jafas.2019.25. | ||||
Dang, CT, Burger, R and Owens, T (2019). Do better-performing nongovernmental organizations report more accurately? Evidence from financial accounts in Uganda. Economic Development and Cultural Change, forthcoming. DOI:10.1086/703099. | ||||
Dang, CT and Owens, T (2019). Does transparency come at the cost of charitable services? Evidence from investigating British charities. CREDIT Research Paper 19/02; published (2020) in Journal of Economic Behavior & Organization 172, pp. 314–343. | ||||
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. | ||||
De Vries, P and Murk, AJ (2013). Compliance of LC50 and NOEC data with Benford's Law: An indication of reliability?. Ecotoxicology and Environmental Safety 98, pp. 171–178. DOI:10.1016/j.ecoenv.2013.09.002. | ||||
Deleanu, IS (2017). Do Countries Consistently Engage in Misinforming the International Community about Their Efforts to Combat Money Laundering? Evidence Using Benford's Law. PLoS One 12(1), p. e0169632. DOI:10.1371/journal.pone.0169632. | ||||
Demir, B and Javorcik, B (2017). Forensics, Elasticities and Benford’s Law: Detecting Tax Fraud in International Trade. E-print posted on semantic scholar.org, Dec 22, 2017. | ||||
Demir, B and Javorcik, B (2020). Trade Policy Changes, Tax Evasion and Benford’s Law. Journal of Development Economics, 144. DOI:10.1016/j.jdeveco.2020.102456. | ||||
Demirdöven, K (2019). Adli Muhasebeciler İçin Benford’un Hukukunun Etkinliğinin Bir Araştirma Araci Olarak Değerlendirilmesi [Evaluation of the Effectiveness of Benford's Law as a Research Tool for Forensic Accountants]. Masters Project, Istanbul Esenyurt University. TUR | ||||
Druica, E, Oancea, B and Valsan, C (2018). Benford's law and the limits of digit analysis. International Journal of Accounting Information Systems 31, pp. 75–82. DOI:10.1016/j.accinf.2018.09.004. | ||||
Ducharme, RG, Kaci, S and Vovor-Dassu ,C (2020). Smooths Tests of Goodness-of-fit for the Newcomb-Benford distribution. Preprint: arXiv:2003.00520v1 [math.ST]. Published in Mathématiques appliquées et stochastiques, 3(1). FRE | ||||
Ensminger, J and Leder-Luis, J (2022). Measuring Strategic Data Manipulation: Evidence from a World Bank Project. Preprint, submitted for publication. | ||||
Ensminger, J and Leder-Luis, J (2022). Detecting Fraud in Development Aid. Preprint. | ||||
Erfani, A, Zhang, K and Cui, Q (2021). TAB Bid Irregularity: Data-Driven Model and Its Application. Journal of Management in Engineering 37(5), p. 04021055. DOI:10.1061/(ASCE)ME.1943-5479.0000958. | ||||
Eutsler, J, Harris, MK, Williams, LT and Cornejo, OE (2023). Accounting for partisanship and politicization: Employing Benford's Law to examine misreporting of COVID-19 infection cases and deaths in the United States. Accounting, Organizations and Society, in press. DOI:10.1016/j.aos.2023.101455. | ||||
Fairweather, WR (2017). Sensitivity and Specificity in the Application of Benford’s Law to Explore for Potential Fraud. Journal of Forensic & Investigative Accounting 9(3), Special Issue, pp. 953-961. | ||||
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. | ||||
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. | ||||
Farhadi, N and Lahooti, H (2021). Are COVID-19 Data Reliable? A Quantitative Analysis of Pandemic Data from 182 Countries. COVID 1, pp. 137–152. DOI:10.3390/covid1010013. | ||||
Farhadi, N and Lahooti, H (2022). Forensic Analysis of COVID-19 Data from 198 Countries Two Years after the Pandemic Outbreak. COVID 2(4), pp. 472-484. DOI:10.3390/covid2040034. | ||||
Fellman, J (2014). The Benford paradox. Journal of statistical and econometric methods 3(4), pp. 1-20. ISSN/ISBN:2241-0384 . | ||||
Fellman, J (2017). Benfordparadoxen. Arkhimedes 2017(4), pp. 26-33. SWE | ||||
Fewster, RM (2009). A Simple Explanation of Benford's Law. American Statistician 63(1), pp. 26-32. DOI:10.1198/tast.2009.0005. | ||||
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. | ||||
Frunza, M-C (2016). Solving Modern Crime in Financial Markets: Analytics and Case Studies. Academic Press, New York, (Chapter 2K) pp. 233-245. DOI:10.1016/B978-0-12-804494-0.00017-6. | ||||
Fu, Q, Fang, Z, Villas-Boas, SB and Judge, G (2014). An Investigation of the Quality of Air Data in Beijing. Unpublished manuscript. | ||||
Fu, Q, Villas-Boas, SB and Judge, G (2019). Does china income FSDs follow Benford? A comparison between Chinese income first significant digit distribution with Benford distribution. China Economic Journal 12(1), pp. 68-76. DOI:10.1080/17538963.2018.1477418. | ||||
Gamermann, D and Antunes, FL (2018). Statistical analysis of Brazilian electoral campaigns via Benford’s law. Physica A: Statistical Mechanics and its Applications 496, pp. 171-188. DOI:10.1016/j.physa.2017.12.120. | ||||
Gámez, RAM and Rivera, CEA (2009). Ley de Benford y sus aplicaciones. Undergraduate Thesis, . SPA | ||||
Garlick, R, Orkin, K and Quinn, S (2019). Call Me Maybe: Experimental Evidence on Frequency and Medium Effects in Microenterprise Surveys. World Bank Economic Review, forthcoming. | ||||
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. | ||||
Gepp, A, Kumar, K and Bhattacharya, S (2023). Taking the hunch out of the crunch: A framework to improve variable selection in models to detect financial statement fraud. Accounting & Finance 2023, pp.1–20.. DOI:10.1111/acfi.13192 . | ||||
Golbeck, J (2015). Benford’s Law Applies to Online Social Networks. PLoS ONE 10(8): e0135169. DOI:10.1371/journal.pone.0135169. | ||||
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) . | ||||
Goodman, WM (2016). The promises and pitfalls of Benford's law. Significance 13(3) pp. 38-41. DOI:10.1111/j.1740-9713.2016.00919.x. | ||||
Goodman, WM (2023). Applying and Testing Benford's Law Are Not the Same. Spanish Journal of Statistics 5(1), pp. 43-53. DOI:10.37830/SJS.2023.1.03. | ||||
Guliyev, H (2021). COVID-19 Data Published by Turkey is Fake or Not?. Preprint on ResearchSquare.com. Published in Systematic Reviews in Pharmacy 13(1), pp. 24-29 (2022).. | ||||
Günnel, S and Tödter, K-H (2009). Does Benford's law hold in economic research and forecasting?. Empirica 36, pp. 273-292. DOI:10.1007/s10663-008-9084-1. | ||||
Halperin, M and Lusk, EJ (2016). Navigating the Benford labyrinth: A big-data Analytic protocol illustrated using the Academic library Context. Knowledge Management & E-Learning 8(1), pp. 138-157. | ||||
Hanzal, P and Faltová LI (2010). Ověření platnosti Benfordova modelu v oboru účetních dat podnikatelských subjektů v České republice [The Examination of the Validity of Benford's model on Scope of Accounting Data of Entepreneurial Units in the Czech Republic]. Acta Universitatis Bohemiae Mendionales, č. 4, s. 39-45. ISSN/ISBN:1212-3285. CZE | ||||
Harb, E, Nasrallah, N, El Khoury, R and Hussainey, K (2022). Applying Benford’s Law to detect accounting data manipulation in the pre-and post-financial engineering periods: Evidence from Lebanon. Working Papers of LaRGE Research Center 2022-10, Laboratoire de Recherche en Gestion et Economie (LaRGE), Université de Strasbourg. | ||||
Hartmann, S and Brinkert, D (2018). Aufdeckung von Versicherungsbetrug bei Kfz-Schäden mit Hilfe des Benford-Tests [Detecting insurance fraud for vehicle damage using the Benford test]. Zeitschrift für die gesamte Versicherungswissenschaft 107(4), pp. 41-59. DOI:10.1007/s12297-017-0396-8. GER | ||||
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. | ||||
Heilig, F and Lusk, EJ (2017). A robust Newcomb-Benford account screening profiler: An audit decision support system. International Journal of Financial Research 8(3), pp. 27-39. DOI:10.5430/ijfr.v8n3p27. | ||||
Heilig, F and Lusk, EJ (2018). Testing the Small Size Effect Bias for Benford Screening: The False Negative Signaling Error. Business Management Dynamics 8(6), pp. 23-34. | ||||
Holz, CA (2013). The Quality of China's GDP Statistics. Munich Personal RePEc Archive Paper No. 51864; available online at http://mpra.ub.uni-muenchen.de/51864/; last accessed June 23, 2014. | ||||
Holz, CA (2014). The quality of China’s GDP statistics. China Economic Review, vol. 30, September 2014, pp. 309–338. DOI:10.1016/j.chieco.2014.06.009. | ||||
Hulme, PE, Ahmed, DA, Haubrock, PJ, Kaiser, BA, Kourantidou, M, Leroy, B and McDermott, SM (2023). Widespread imprecision in estimates of the economic costs of invasive alien species worldwide. Science of the Total Environment, pp. 167997. DOI:10.1016/j.scitotenv.2023.167997. | ||||
Hussain, SA (2010). The Application of Benford's Law in Forensic Accounting: An Analysis of Credit Bureau Data. Available at SSRN 1626696; last accessed Mar 10, 2021. DOI:10.2139/ssrn.1626696. | ||||
Idrovo, AJ, Bojórquez-Chapela, I, Fernández-Niño, JA and Moreno-Montoya, J (2011). Performance of public health surveillance systems during the influenza A(H1N1) pandemic in the Americas: testing a new method based on Benford's Law. Epidemiol. Infect. 139(12), pp. 1827-34. ISSN/ISBN:1469-4409. DOI:10.1017/S095026881100015X. | ||||
Isea, R (2020). How Valid are the Reported Cases of People Infected with Covid-19 in the World?. International Journal of Coronaviruses 1(2), pp. 53-56. DOI:10.14302/issn.2692-1537.ijcv-20-3376. | ||||
İlkdoğan, S (2020). İç denetimin hileye yaklaşımında Benford Kanunu’nun uygulanması [Application of Benford's Law in internal audit's approach to fraud]. Masters Thesis, Balikesir University Institute of Social Sciences, Balikesir. TUR | ||||
Jalan, A, Matkovskyy, R and Yarovaya, L (2021). “Shiny” crypto assets: A systemic look at gold-backed cryptocurrencies during the COVID-19 pandemic. International Review of Financial Analysis 78, p. 101958 . DOI:10.1016/j.irfa.2021.101958. | ||||
Jasak, Z (2010). Benfordov zakon i reinforcement učenje (Benford's Law and reinforcment learning) . MSc Thesis, University of Tuzla, Bosnia. SRP | ||||
Jasak, Z and Banjanovic-Mehmedovic, L (2008). Detecting Anomalies by Benford's Law. In Proceedings of IEEE International Symposium on Signal Processing and Information Technology, 2008. ISSPIT 2008, pp. 453-458 . ISSN/ISBN:978-1-4244-3554-8. DOI:10.1109/ISSPIT.2008.4775660. | ||||
Joenssen, DW (2013). Two digit testing for Benford's Law. Proceedings of the ISI World Statistics Congress, 59th Session in Hong Kong. | ||||
Joenssen, DW (2014). Testing for Benford's Law: A Monte Carlo Comparison of Methods. Preprint available at SSRN: https://ssrn.com/abstract=2545243; last accessed Mar 24, 2019 . DOI:10.2139/ssrn.2545243. | ||||
Jones, WA (2019). A Benford Analysis of National Collegiate Athletic Association Division I Finance Data. Journal of Sports Economics. DOI:10.1177/1527002519887430. | ||||
Jošić , H and Žmuk, B (2020). The Application of the Law of Anomalous Numbers on Global Food Prices in Examining Psychological Pricing Strategies. Journal of International Food & Agribusiness Marketing, pp. 1-16. DOI:10.1080/08974438.2020.1796880 . | ||||
Jošić, H and Žmuk, B (2018). The Application of Benford’s Law in psychological pricing detection. Zbornik radova Ekonomskog fakulteta Sveučilišta u Mostaru, No. 24, pp. 37-57. | ||||
Jošić, H and Žmuk, B (2021). Assessing the Quality of COVID-19 Data: Evidence from Newcomb-Benford Law. Facta Universitatis, in press. DOI:10.22190/FUEO210326008J. | ||||
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. | ||||
Kıvraklar, K and Demirci, M (2019). Benford Yasası’nın Mali Denetim Alanında Kullanımı Üzerine Bir Uygulama [An Application On The Use Of Benford Law In The Field Of Financial Inspection]. Muhasebe ve Vergi Uygulamaları Dergisi 12(2), pp. 289-316. DOI:10.29067/muvu.340793. TUR | ||||
Kapoor, M, Malani, A, Ravi, S and Agarwal, A (2020). Authoritarian Governments Appear to Manipulate COVID Data. Preprint arXiv:2007.09566 [econ.GN]; last accessed August 29, 2020. | ||||
Kellerman, L (2014). Evaluating the effectiveness of Benford’s law as an investigative tool for forensic accountants. Masters thesis (Magister Commercii) in Forensic Accountancy at the Potchefstroom Campus of the North-West University. | ||||
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) . | ||||
Koesters, N, McMenemy, A and Bélanger, Y (2020). Simulating Epidemics with a SIRD Model and Testing with Benford’s Law. Preprint. | ||||
Kolias, P (2022). Applying Benford’s law to COVID-19 data: the case of the European Union. Journal of Public Health, fdac005, pp. 1-6. DOI:10.1093/pubmed/fdac005. | ||||
Kopczewska, K and Kopczewski, T (2022). Natural spatial pattern—When mutual socio-geo distances between cities follow Benford’s law. Plos one 17(10), p. e0276450. DOI:10.1371/journal.pone.0276450. | ||||
Kopczewski, T and Okhrimenko, I (2019). Playing with Benford’s Law. e-mentor 80(3), pp. 34−44 . | ||||
Kossovsky, AE (2012). Statistician's New Role as a Detective - Testing Data for Fraud. Ciencias Económicas 30(2), pp. 179-200 . ISSN/ISBN:0252-9521. | ||||
Kossovsky, AE (2014). Benford's Law: Theory, the General Law of Relative Quantities, and Forensic Fraud Detection Applications. World Scientific Publishing Company: Singapore. ISSN/ISBN:978-981-4583-68-8. | ||||
Kossovsky, AE (2014). Arithmetical Tugs of War and Benford's Law. Preprint arXiv:1410.2174 [math.ST]; last accessed October 19, 2020. | ||||
Kossovsky, AE (2015). Random Consolidations and Fragmentations Cycles Lead to Benford' Law. Preprint arXiv:1505.05235 [math.ST]; last accessed October 19, 2020. | ||||
Kossovsky, AE (2016). Exponential Growth Series and Benford's Law. Preprint arXiv:1606.04425 [math.ST]; last accessed October 19, 2020. | ||||
Kuruppu, N (2019). The Application of Benford’s Law in Fraud Detection: A Systematic Methodology. International Business Research, Canadian Center of Science and Education 12(10), pp. 1-10. DOI:10.5539/ibr.v12n10p1. | ||||
Kuruppu, N (2020). Uncovering Financial Shenanigans: Benford’s Law as a Computer Assisted Analytical Procedure. International Journal of Business and Management 15(7), pp. 37-47. DOI:10.5539/ijbm.v15n7p37. | ||||
Leder-Luis, J (2020). The Economics of Fraud and Corruption. PhD Thesis, Massachusetts Institute of Technology. | ||||
Lee, J, Cho, WKT and Judge, G (2010). Stigler’s approach to recovering the distribution of first significant digits in natural data sets. Statistics and Probability Letters 80(2), pp. 82-88. DOI:10.1016/j.spl.2009.09.015. | ||||
Lee, J, Cho, WKT and Judge, GG (2009). Stigler’s approach to recovering the distribution of first significant digits in natural data sets. CUDARE Working Papers, Dept. of Agricultural and Resource Economics, UC Berkeley. | ||||
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. | ||||
Lin, F, Guan, L and Fang, W (2011). Heaping In Reported Earnings: Evidence from Monthly Financial Reports of Taiwanese Firms. Emerging Markets Finance & Trade / January–February 2011, Vol. 47, No. 2, pp. 62–73. ISSN/ISBN:1540-496X. DOI:10.2753/REE1540-496X470205. | ||||
Long, MA, Stretesky, PB, Berry, KJ, Johnston, JE and Lynch, MJ (2023). Applying Benford's Law for Assessing the Validity of Social Science Data. Cambridge University Press. ISSN/ISBN:1009463683, 97810094. | ||||
Lusk, EJ and Halperin, M (2014). Detecting Newcomb-Benford digital frequency anomalies in the audit context: Suggested x^2 test possibilities. Accounting and Finance Research 3(2), pp. 191-205. DOI:10.5430/afr.v3n2p191. | ||||
Lusk, EJ and Halperin, M (2014). Using the Benford Datasets and the Reddy and Sebastin Results to Form an Audit Alert Screening Heuristic: An Appraisal. The IUP Journal of Accounting Research and Audit Practices, vol. XIII, issue 3, pp. 56-69. | ||||
Lusk, EJ and Halperin, M (2014). Detecting Digital Frequency Anomalies as Benchmarked against the Newcomb-Benford Theoretical Frequencies: Calibrating the Chi2 Test: A Note. International Business Research 7(2). ISSN/ISBN:1913-9012. DOI:10.5539/ibr.v7n2p72 . | ||||
Lusk, EJ and Halperin, M (2014). Test of Proportions Screening for the Newcomb-Benford Screen in the Audit Context: A Likelihood Triaging Protocol. Journal of Accounting and Finance Research 3(4), pp. 166-180. DOI:10.5430/afr.v3n4p166. | ||||
Lusk, EJ and Halperin, M (2015). Account Screening Based Upon Digital Frequency Profiling in the Internal Audit Context: A Cartesian Distance Likelihood Triaging Protocol. Business Management Dynamics 5(3), pp.12-17. | ||||
Mainusch, NM (2020). On Benford's law - Computing a Bayes factor with the Savage-Dickey method to quantify conformance of numerical data to Benford's law. Bachelor's Thesis, University of Osnabrueck, Institute of Cognitive Science, Germany. | ||||
Máté, D, Sadaf, R, Tarnóczi, T and Fenyves, V (2017). Fraud Detection by Testing the Conformity to Benford’s Law in the Case of Wholesale Enterprises. Polish Journal Of Management Studies, 16(1), pp.115-126. DOI:10.17512/pjms.2017.16.1.10 . | ||||
McCarville, D (2021). A data transformation process for using Benford’s Law with bounded data. Preprint [version 1; peer review: awaiting peer review], Emerald Open Research 3(29). DOI:10.35241/emeraldopenres.14374.1. | ||||
McDonald, BD and Goodman, CB (2020). The Truth about Honesty in the Nonprofit Sector. SocArXiv 48g5c, Center for Open Science. DOI:10.31219/osf.io/48g5c. | ||||
Mebane, WR Jr (2010). Fraud in the 2009 presidential election in Iran?. Chance 23(1), pp. 6-15. DOI:10.1080/09332480.2010.10739785. | ||||
Mebane, WR Jr (2010). Election Fraud or Strategic Voting? Can Second-digit Tests Tell the Difference?. Prepared for Presentation at the 2010 Summer Meeting of the Political Methodology Society. University of Iowa. | ||||
Mebane, WR Jr (2012). Second-digit Tests for Voters’ Election Strategies and Election Fraud. Prepared for presentation at the 2012 Annual Meeting of the Midwest Political Science Association, Chicago, April 12–15; last accessed Apr 11, 2019. | ||||
Medzihorsky, J (2015). Election Fraud: A Latent Class Framework for Digit-Based Tests. Political Analysis 23(4), pp. 506-517. DOI:10.1093/pan/mpv021. | ||||
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 (2014). The Benford law behavior of the religious activity data. Physica A 408, pp. 1-9. DOI:10.1016/j.physa.2014.03.074. | ||||
Mir, TA, Ausloos, M and Cerqueti, R (2014). Benford’s law predicted digit distribution of aggregated income taxes: the surprising conformity of Italian cities and regions. Eur. Phys. J. B (2014) 87: 261. ISSN/ISBN:1434-6028. DOI:10.1140/epjb/e2014-50525-2. | ||||
Mir, TA, Darzi, MA, Ishtiaq, PM and Mufti, S (2023). Benford’s law: an application to sunspot data. Preprint posted on Research Square. DOI:10.21203/rs.3.rs-3372099/v1. | ||||
Morrow, J (2010). Benford's Law, Families of Distributions and a Test Basis. E-print formerly published on www.johnmorrow.info; last accessed Mar 10, 2021. . | ||||
Morrow, J (2014). Benford’s Law, Families of Distributions and a Test Basis. Center for Economic Performance Discussion Paper No 1291. | ||||
Mucko, P and Adamczyk, A (2023). Does the bankrupt cheat? Impact of accounting manipulations on the effectiveness of a bankruptcy prediction. PLoS ONE 18(1), e0280384. ISSN/ISBN:1932-6203. DOI:10.1371/journal.pone.0280384. | ||||
Murhaban, M and Jufrizal, J (2017). Analisis Penggunaan Benford’s Law Dalam Perencanaan Audit Di Direktorat Jenderal Bea Dan Cukai Cabang Kota Lhokseumawe [Analysis of the Use of Benford's Law in Audit Planning at the Directorate General of Customs and Excise Lhokseumawe City Branch]. Jurnal Akuntansi dan Keuangan 5(1), pp. 39-50. DOI:10.29103/jak.v5i1.1812. IND | ||||
Nakatoh, T, Suzuki, T, Kamimasu. Y and Hirokawa. S (2020). Detection of Unnatural Parts of Statistical Data. Information Engineering Express 6(2), pp. 20 – 36. | ||||
Negi, A and Singh, K (2023). Detection of Red Flags in Coronavirus Vaccination Data Available in Public Domain. Juni Khyat (UGC Care Group I Listed Journal) 13(08), No.03. ISSN/ISBN:2278-4632. | ||||
Neves, GA, Nunes, CS and Fernandes, PO (2021). Application of Benford’s Law to the Tourism Demand: The Case of the Island of Sal, Cape Verde. In Proceedings of Optimization, Learning Algorithms and Applications. OL2A 2021. Communications in Computer and Information Science, vol 1488. Springer, Cham.. DOI:10.1007/978-3-030-91885-9_43. | ||||
Onur, Ö and Yazdifar, H (2020). Assessing the Fraud Risk Factors in the Finance Statements with Benford's Law. Journal of accounting and taxation studies (in press). | ||||
Özevin, O, Yücel, R and Öncü, MA (2020). Fraud Detecting with Benford’s Law: An Alternative Approach with {BDS} and Critic Values. Muhasebe Bilim Dünyası Dergisi 22(1), pp. 107-126. DOI:10.31460/mbdd.609957. | ||||
Özkundakci, D and Pingram, MA (2019). Nature favours “one” as the leading digit in phytoplankton abundance data. Limnologica 78, p. 125707 . DOI:10.1016/j.limno.2019.125707. | ||||
Palanca, TJ (2014). On Benford's Law: Determining import fraud risk using customs data. Blog posted on tjpalanca.com, November 17, 2014; last accessed Jun 8, 2019. | ||||
Parnes, D (2022). Banks’ Off-Balance Sheet Manipulations. Quarterly Review of Economics and Finance. DOI:10.1016/j.qref.2022.07.011. | ||||
Parreño, SJE (2023). Assessing the quality of dengue data in the Philippines using Newcomb-Benford law. Sapienza: International Journal of Interdisciplinary Studies 4(3). DOI:10.51798/sijis.v4i3.662. | ||||
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 | ||||
Qu, H, Steinberg, R and Burger, R (2020). Abiding by the Law? Using Benford's Law to Examine the Accuracy of Nonprofit Financial Reports. Nonprofit and Voluntary Sector Quarterly 49(3), pp. 548-570. DOI:10.1177/0899764019881510. | ||||
Rauch, B, Brähler, G, Engel, S and Göttsche, M (2011). Fact and Fiction in EU-Governmental Economic Data. German Economic Review 12(3), pp. 243-255. DOI:10.1111/j.1468-0475.2011.00542.x. | ||||
Rauch, B, Göttsche, G, Brähler, G and Kronfeld, T (2014). Deficit versus Social Statistics: Empirical Evidence for the Effectiveness of Benford’s Law. Applied Economics Letters 21(3), pp. 147-151. DOI:10.1080/13504851.2013.844319. | ||||
Rauch, B, Göttsche, M, Brähler, G, Geidel, FA and Pietras, T (2014). Assessing the Accountability Reports of Political Parties in Germany using Benford's Law. Betriebswirtschaftliche Forschung und Praxis 66(2). | ||||
Rauch, B, Göttsche, M and El Mouaaouy, F (2013). LIBOR Manipulation – Empirical Analysis of Financial Market Benchmarks Using Benford's Law. Posted December 5, 2013. Available at SSRN: https://ssrn.com/abstract=2363895. Last accessed May 15, 2017. DOI:10.2139/ssrn.2363895. | ||||
Rauch, B, Göttsche, M, El Mouaaouy, F and Geidl, F (2013). Empirical methods in competition analysis – Applying Benford’s law to the Western Australian petroleum market. Available at SSRN: https://ssrn.com/abstract=2364384; last accessed Dec 7, 2019. DOI:10.2139/ssrn.2364384. | ||||
Rauch, B, Göttsche, M and Langenegger, S (2014). Detecting Problems in Military Expenditure Data Using Digital Analysis. Defence and Peace Economics 25(2), pp. 97-111. DOI:10.1080/10242694.2013.763438. | ||||
Riccioni, J and Cerqueti, R (2018). Regular paths in financial markets: Investigating the Benford’s law. Chaos, Solitons and Fractals 107, pp. 186-194. DOI:10.1016/j.chaos.2018.01.008. | ||||
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 | ||||
Sadaf, R (2017). Advanced Statistical Techniques For Testing Benford'S Law. Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(2), pp. 229-238. | ||||
Schündeln, M (2018). Multiple Visits and Data Quality in Household Surveys. Oxford Bulletin of Economics and Statistics 80(2), pp. 380-405. DOI:10.1111/obes.12196. | ||||
Sharif, SN and Jaaman-Sharman, SH (2023). Robustness of Extended Benford’s Law Distribution and Its Properties. Proceedings of International Conference on Management Engineering, Software Engineering and Service Sciences (ICMSS 2022), N. Wahi et al. (Eds.), ACSR 98, pp. 195–204. | ||||
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. | ||||
Silva, L and Filho, DF (2021). Using Benford’s law to assess the quality of COVID-19 register data in Brazil. Journal of Public Health 43(1), pp. 107-110. DOI:10.1093/pubmed/fdaa193. | ||||
Silva, S (2023). Benford’s Law to Detect Fake Data. Posted on DataDrivenInvestor.com; last accessed April 29, 2023. | ||||
Singh, K and Best, P (2020). Implementing Benford’s law in continuous monitoring applications. Journal of Accounting and Management Information Systems 2, pp. 379-404. | ||||
Slijepčević, S and Blašković, B (2014). Statistical detection of fraud in the reporting of Croatian public companies. Financial Theory and Practice, 38(1), pp. 81-96. DOI:10.3326/fintp.38.1.4. | ||||
Sugiarto, T, Budiman, AI and Rosini, I (2016). The First Digits Analysis Until the Fifth Benford Law in Financial Statement. Proceedings of the International Conference on Ethics in Governance (ICONEG 2016) (Advances in Social Science, Education and Humanities Research, volume 84, pp. 1-4). DOI:10.2991/iconeg-16.2017.1. | ||||
Suh, I and Headrick, TC (2010). A comparative analysis of the bootstrap versus traditional statistical procedures applied to digital analysis based on Benford's Law. Journal of Forensic and Investigative Accounting 2(2), 2010, 144-175. | ||||
Suh, I, Headrick, TC and Minaburo, S (2011). An Effective and Efficient Analytic Technique: A Bootstrap Regression Procedure and Benford's Law. Journal of Forensic & Investigative Accounting, Vol.3, No. 3. | ||||
Suzuki, T, Kamimasu, T, Nakatoh, T and Hirokawa, S (2018). Identification of Unnatural Subsets in Statistical Data. 7th International Congress on Advanced Applied Informatics (IIAI-AAI), pp. 74-80. DOI:10.1109/IIAI-AAI.2018.00024. | ||||
Tichenor, C and Davis, B (2008). The Applicability of Benford’s Law to the buying Behavior of Foreign Military Sales Customers. Global Journal of Business Research 2(2), 77-85. ISSN/ISBN:1931-0277. | ||||
Tilden, C and Janes, T (2012). Empirical evidence of financial statement manipulation during economic recessions. Journal of finance and accountancy, 12, pp.1-15. | ||||
Tsagbey, S, de Carvalho, M and Page, GL (2017). All Data are Wrong, but Some are Useful? Advocating the Need for Data Auditing . The American Statistician, 71, pp. 231--235. DOI:10.1080/00031305.2017.1311282. | ||||
Us, D (2021). Benford's Law: An Empirical Analysis of Reported Covid-19 Cases and Institutional Structures Around the Globe . Undergraduate Thesis, Università commerciale Luigi Bocconi, Milan. DOI:10.13140/RG.2.2.28839.88488. | ||||
Varma, TNP and Khan, DA (2012). Fraud Detection in Supply Chain using Benford Distribution. International Journal of Research in Management 2(5), pp. 90-96. | ||||
Vellwock, AE and Wei, A (2020). On the Benfordness of academic citations. Preprint posted on research gate.net; last accessed March 16, 2021. DOI:10.13140/RG.2.2.22108.82562. | ||||
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, D, Chen, F, Mao, J, Liu, N and Rong, F (2022). Are the official national data credible? Empirical evidence from statistics quality evaluation of China's coal and its downstream industries . Energy Economics, p. 106310. DOI:10.1016/j.eneco.2022.106310. | ||||
Wang, H, Liu, T, Zhang, Y, Wu, Y, Sun, Y, Dong, J and Huang, W (2023). Last Digit Tendency: Lucky Numbers and Psychological Rounding in Mobile Transactions. Fundamental Research. DOI:10.1016/j.fmre.2023.11.011. | ||||
Wei, A and Vellwock, AE (2020). Is COVID-19 data reliable? A statistical analysis with Benford's Law. Preprint, posted September. DOI:10.13140/RG.2.2.31321.75365/1. | ||||
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. | ||||
Wist, H (2019). Assessing The Conformity Of Cryptocurrency Market Data With Benford’s Law. Masters thesis, University of Vaasa, Faculty of Business Studies, Department of Accounting and Finance . | ||||
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. | ||||
Wong, SCY (2010). Testing Benford’s Law with the first two significant digits. Master's Thesis, University of Victoria, Canada. | ||||
Zhang, J (2020). Testing Case Number of Coronavirus Disease 2019 in China with Newcomb-Benford Law. Preprint arXiv:2002.05695 [physics.soc-ph]; last accessed February 18, 2020. | ||||
Zhou, Q, Tang, H, Turowski, JM, Braun, J, Dietze, M, Walter, F, Yang, C-J and Lagarde, S (2023). Benford’s law as mass movement detector in seismic signals. Preprint - manuscript submitted to Geophysical Research Letters. | ||||
Zhou, Q, Tang, H, Turowski, JM, Braun, J, Yang, C-J, Dietze, M, Lagarde, S, Abdelwahab, A and Walter, F (2023). Detection of debris-flow events from seismic signals using Benford's law. E3S Web of Conf. 415, Proceedings of 8th International Conference on Debris Flow Hazard Mitigation (DFHM8) . DOI:10.1051/e3sconf/202341503033. | ||||
Žmuk, B and Jošić, H (2021). Do countries diminish the number of new COVID-19 cases? A test using Benford’s law and uniform distribution. Proceedings of 3rd Conference titled "Economic System of the European Union and Accession of Bosnia and Herzegovina - Challenges and Policies Ahead", Mostar, Bosnia and Herzegovina, pp. 63-74. |