Rad, M, Amiri, A, Ranjbar, MH and Salari, H (2021). Predictability of financial statements fraud-risk using Benford’s Law. Cogent Economics & Finance 9(1), p. 1889756 . DOI:10.1080/23322039.2021.1889756.
|
|
|
|
|
Radev, DR (2004). Weakly supervised graph-based methods for classification. Technical Report CSE-TR-500-04, University of Michigan.
|
|
|
|
|
Radiah, O and Ameer, R (2020). Benford Law and Earnings Analysis: International Comparison. Ch. 18 in: Handbook of Research on Accounting and Financial Studies, L. Farinha, A. Baltazar Cruz and J.R. Sebastião, IGI Global: Hershey, PA, pp. 381-404
. ISSN/ISBN:9781799821366. DOI:10.4018/978-1-7998-2136-6.ch018.
|
|
|
|
|
Radman, B (2005). Benfordov zakon (Benford's Law). Hrvatski matematički elektronički časopis 5 (Electronic Croatian Mathematics Magazine). ISSN/ISBN:1334-6083.
HRV
|
|
|
|
|
Rafeld, H (2003). Digitale Ziffernanalyse mit Benford's Law zur Deliktrevision doloser Handlungen. Diploma thesis, Berufsakademie Ravensburg, Germany.
GER
|
|
|
|
|
Rafeld, H and Then Bergh, FR (2007). Digitale Ziffernanalyse in deutschen Rechnungslegungsdaten. Zeitschrift Interne Revision 42(1), pp. 26-33.
GER
|
|
|
|
|
Raftopoulou, P, Koubarakis, M, Stergiou, K and Triantafillou, P (2005). Fair resource allocation in a simple multi-agent setting: search algorithms and experimental evaluation. International Journal on Artificial Intelligence Tools 14(6), pp. 887-899. DOI:10.1142/S0218213005002454.
|
|
|
|
|
Rahayu, TS and Adhariani, D (2007). Assessing the Customs Value By the Use of Benford’s Law: A Case Study. Journal of Economics Business and Accounting.
|
|
|
|
|
Rahmatidehkordi, A (2023). Probability Distributions on a Circle. Master of Science Thesis, Department of Mathematical and Statistical Sciences, University of Alberta. DOI:10.7939/r3-85pm-r259.
|
|
|
|
|
Raimi, RA (1969). The Peculiar Distribution of First Digits. Scientific American 221(6), pp. 109-120. ISSN/ISBN:0036-8733. DOI: 10.1038/scientificamerican1269-109.
|
|
|
|
|
Raimi, RA (1969). On Distribution of First Significant Figures. American Mathematical Monthly 76(4), pp. 342-348. ISSN/ISBN:0002-9890. DOI:10.2307/2316424.
|
|
|
|
|
Raimi, RA (1976). The First Digit Problem. American Mathematical Monthly 83(7), pp. 521-538. ISSN/ISBN:0002-9890. DOI:10.2307/2319349.
|
|
|
|
|
Raimi, RA (1985). The First Digit Phenomenon Again. Proceedings of the American Philosophical Society 129(2), pp. 211-219. ISSN/ISBN:0003-049X.
|
|
|
|
|
Rajagopal, AK, Uppuluri, VRR, Scott, DS, Iyengar, SS and Yellayi, M (1984). New structural properties of strings generated by leading digits of 2N. Applied Mathematics and Computation 14(3), pp. 221-244. DOI:10.1016/0096-3003(84)90023-7.
|
|
|
|
|
Ramaswamy, V and Leavins, J (2007). Continuous auditing, digital analysis and Benford's law. Journal of Internal Auditing 22(4), pp. 25-31
.
|
|
|
|
|
Ramos, PCR (2021). Lei de Benford: uma Integração no Trabalho de Auditoria [Benford Law - An Integration in the Audit Work]. Masters thesis, Universidade de Brasília, Brasília.
POR
|
|
|
|
|
Rana, S (2017). Benford's Law as a Fraud Detection technique. Blog posted on trigonaminima.github.io July 29, 2017; last accessed Jun 8, 2019.
|
|
|
|
|
Rane, AD, Mishra, U, Biswas, A, De, AS and Sen, U (2014). Benford's law gives better scale exponents in phase transitions of quantum XY models. Phys. Rev. E 90(2), p. 022144 (previously available from
http://arxiv.org/abs/1405.2744). DOI:10.1103/PhysRevE.90.022144.
|
|
|
|
|
Rangkuti, LE, Lubis, FK and Muda, I (2023). Supply Chain Management : A Review Of Anomaly Detection Techniques And The Benford's Law
. Russian Law Journal XI(6), pp. 369-376.
|
|
|
|
|
Rasgen, M (2016). Hile Denetiminde Benford Yasası'nın Kullanımına İlişkin Bir Uygulama [An Application for the Use of Benford's Law in Fraud Control]
. Yüksek Lisans Tezi. Dokuz Eylül Üniversitesi Sosyal Bilimler Enstitüsü ĠĢletme Anabilim Dalı, Izmir.
TUR
|
|
|
|
|
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, Brinkert, D and Kronfeld, T (2014). European integration and statistical credibility: application of Benford's law on governmental economic data of EU membership aspirants. The Empirical Economics Letters 13(7), pp. 755-762.
|
|
|
|
|
Rauch, B, Göttsche, M, Brähler, G and Engel, S (2015). Measuring the Quality of European Statistics. In: S.J. Miller (ed.) Benford's Law: Theory and Applications, Princeton University Press: Princeton, NJ, pp. 235-243.
|
|
|
|
|
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.
|
|
|
|
|
Ravikumar, B (2008). The Benford-Newcomb Distribution and Unambiguous Context-Free Languages. International Journal of Foundations of Computer Science 19(3), pp. 717-727. ISSN/ISBN:0129-0541. DOI:10.1142/S0129054108005905.
|
|
|
|
|
Ravikumar, B (2009). A simple multiplication game and its analysis. Accepted for publication in the International Journal of Combinatorial Number Theory.
|
|
|
|
|
Reed, R and Pence, D (2005). Detecting Fraud in Financial Statements: The Use of Digital Analysis as an Analytical Review Procedure. Journal of Forensic Accounting 6, pp. 135-146.
|
|
|
|
|
Reese, M (2019). Why Cyber Security Should Care About Benford's Law . LinkedIn blog.
|
|
|
|
|
Regan, KW (2012). Benford’s Law and Baseball. Gödel’s Lost Letter and P=NP website, last accessed April 1, 2019.
|
|
|
|
|
Regazzini, E (1982). La legge di Benford-Furlan come legge statistica (The Benford-Furlan law as a statistical law). Statistica 42(3), pp. 351-370.
ITA
|
|
|
|
|
Rehmeyer, J (2009). Statistical tests suggestive of fraud in Iran’s election. ScienceNews, 10 July.
|
|
|
|
|
Rejesus, RM, Little, BB and Jamarillo, M (2006). Is there Manipulation of Self-Reported Yield Data in
Crop Insurance? An Application of Benford’s Law. Journal of Forensic Accounting 7(2), pp. 495-512.
|
|
|
|
|
Renaldo, N, Hutahuruk, MB and Putri, IY (2022). Forensic Accounting: The Use of Benford's Law to Evaluate Indications of Fraud . Revista Eletrônica do Departamento de Ciências Contábeis & Departamento de Atuária e Métodos Quantitativos (REDECA) 9(e57343), pp. 1-15. DOI:10.23925/2446-9513.2022v9id57343.
|
|
|
|
|
Renaud, P (2002). Scale invariant means and the first digit problem. New Zealand Journal of Mathematics 31, pp. 73-83.
|
|
|
|
|
Reuters Staff (2020). Fact check: Deviation from Benford’s Law does not prove election fraud. Posted on Reuters.com, November 10; last accessed December 1, 2020. NOTE: Some information in this posting has been disputed. Please see https://arxiv.org/abs/2011.13015 for details.
|
|
|
|
|
Ribeiro, DH and Monsueto, SE (2015). Lei de Newcomb-Benford Aplicada no Controle interno nas empresas: um estudo de caso no controle de lançamentos financeiros [Newcomb-Benford Law Applied To Internal Control In Business: A Case Study In The Control Of Financial Releases]. Revista de Administração da Unimep – RAU 13(1), pp. 1-18
. DOI:10.15600/1679-5350/rau.v13n1p1-18 .
POR
|
|
|
|
|
Ribeiro, JC, Monteiro, GB, dos Santos, J and Galvao, KdS (2005). Aplicação da Lei de Newcomb-Benford na Auditoria. Caso notas de empenho dos Municípios do Estado da Paraíba. 2o Congresso USP Iniciação cientifica em contabilidade.
POR
|
|
|
|
|
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
|
|
|
|
|
Rieger, J (1993). Das Rätsel der ersten Ziffern. Frankfurter Allgemeine Zeitung, Oktober 20.
GER
|
|
|
|
|
Rindler, H (1973). Ein Problem aus der Theorie der Gleichverteilung. II. Math. Z. 135, pp. 73-92. ISSN/ISBN:0025-5874. DOI:10.1007/BF01214307.
GER
|
|
|
|
|
Robertson, JB, Uppuluri, VRR and Rajagopal, AK (1983). First digit phenomenon and ergodic theory. Journal of Mathematical Analysis and Applications 95(2), pp. 375-378. DOI:10.1016/0022-247X(83)90113-0.
|
|
|
|
|
Robinson, D (1995). Dr. Digit's truth serum. Canadian Business, September 1995, p. 21.
|
|
|
|
|
Robledo, A (2011). Laws of Zipf and Benford, intermittency, and critical fluctuations. Chinese Science Bulletin 56(34), pp. 3643–3648. DOI:10.1007/s11434-011-4827-y.
|
|
|
|
|
Rocha, JAM (2007). A lei Newcomb/Benford para descobrir fraudes. Meira da Rocha website, 17 de junho.
POR
|
|
|
|
|
Rochester, E (2013). Clojure Data Analysis Cookbook. Packt Publishing. ISSN/ISBN: 978-1-78216-264-3.
|
|
|
|
|
Rodriguez, E (2010). La ley de Benford. El blog de Emma Rodríguez, last accessed February 21, 2022.
SPA
|
|
|
|
|
Rodriguez, RJ (2004). First Significant Digit Patterns from Mixtures of Uniform Distributions. American Statistician 58(1), pp. 64-71. ISSN/ISBN:0003-1305. DOI:10.1198/0003130042782.
|
|
|
|
|
Rodriguez, RJ (2004). Reducing False Alarms in the Detection of Human Influence on Data. Journal of Accounting, Auditing & Finance 19(2), pp. 141-158. DOI:10.1177/0148558X0401900202.
|
|
|
|
|
Rogers, T (2001). Benford's Law Part 1 - How to Spot Tax Fraud. Amazing Applications of Probability and Statistics. Last accessed May 30, 2018 .
|
|
|
|
|
Rogers, T (2001). Benford's Law Part 2 - The 80/20 Rule or Pareto Principle. Amazing Applications of Probability and Statistics. Last accessed May 30, 2018.
|
|
|
|
|
Romagnoli, P (2013). Ley de Benford: La increíble técnica matemática para detectar fraudes . Blog posted on Guioteca November 22, 2013; last accessed January 10, 2022.
|
|
|
|
|
Romano, PK and McLaughlin, H (2011). On non-linear recursive sequences and Benford’s Law. Fibonacci Quarterly 49(2), pp. 134–138.
|
|
|
|
|
Romero-Rochin, V (2009). A derivation of Benford's Law ... and a vindication of Newcomb. preprint arXiv:0909.3822.
|
|
|
|
|
Roque, JMSG (2013). Aplicação da Benford's Law à liquidez do mercado financeiro : o caso português. Dissertação de Mestrado, Universidade de Lisboa. Instituto Superior de Economia e Gestão.
POR
|
|
|
|
|
Rose, AM and Rose, JM (2003). Turn Excel into a financial sleuth: an easy-to-use digital analysis tool can red-flag irregularities. Journal of Accountancy 196(2), pp. 58-60.
|
|
|
|
|
Rosenkrantz, RD (1977). Benford's Law. Example 3.6.6, pp 67-68, p. 78, p. 215 in: Inference, Method and Decision: Towards a Bayesian Philosophy of Science, Reidel Publishing Company, USA.
|
|
|
|
|
Rosetti, CJ (2003). SAS99: Detecting Fraud Using Benford's Law. Presentation at FAE/NYSSCPA Technology Assurance Committee March 13, 2003.
|
|
|
|
|
Rosetti, CJ (2020). Using Benford's Law to Detect Fraud. PDF Workbook Self-Study (ACFE).
|
|
|
|
|
Rosmansyah, Y, Santoso, I, Hardi, AB, Putri, A and Sutikno, S (2019). Detection of Interviewer Falsification in Statistics Indonesia’s Mobile Survey. International Journal on Electrical Engineering and Informatics 11(3), pp. 474-484.
|
|
|
|
|
Ross, KA (2011). Benford's Law, a growth industry. American Mathematical Monthly 118 (7), pp. 571-583. ISSN/ISBN:0002-9890. DOI:10.4169/amer.math.monthly.118.07.571.
|
|
|
|
|
Ross, KA (2012). First Digits of Squares and Cubes. Mathematics Magazine 85(1), pp. 36-42. DOI:10.4169/math.mag.85.1.36.
|
|
|
|
|
Rossing, N (2005). Fillete tabeller og skattefusk. Ukeadressa, April 2005, pp. 14-15.
NOR
|
|
|
|
|
Roukema, BF (2009). Benford's Law Anomalies in the 2009 Iranian presidential election. preprint arXiv:0906.2789.
|
|
|
|
|
Roukema, BF (2014). A first-digit anomaly in the 2009 Iranian presidential election. Journal of Applied Statistics 41(1), pp. 164-199. DOI:10.1080/02664763.2013.838664.
|
|
|
|
|
Roukema, BF (2015). Complementing Benford’s Law for Small N: A Local Bootstrap. In: S.J. Miller (ed.) Benford's Law: Theory and Applications, Princeton University Press: Princeton, NJ, pp. 223-232.
|
|
|
|
|
Rousseau, C (2010). Apprendre à frauder ou à détecter les fraudes?. Accromαth 5, Été-automne, pp. 2-7.
FRE
|
|
|
|
|
Rousseau, R (2005). Robert Fairthorne and the empirical power laws. Journal of Documentation 61(2), pp. 194-202. DOI:10.1108/00220410510585188.
|
|
|
|
|
Roy, PT (2021). Newcomb-Benford's law as a fast ersatz of discrepancy measures. Preprint arXiv:2103.08705 [stat.ME]; last accessed March 29, 2021.
|
|
|
|
|
Ruankong, P and Sumetkijakan, S (2019). Chains of Truncated Beta Distributions and Benford’s Law. Uniform Distribution Theory 14(2), pp. 27–32. DOI:10.2478/udt-2019–0011 .
|
|
|
|
|
Rubin, AE (2020). Benford’s Law as Applied to Ordinary-Chondrite Mass Distributions Among Observed Falls, NWA Finds and Antarctic Finds. NIPR 11th Symposium on Polar Science/Ordinary sessions: [OA] Antarctic meteorites.
|
|
|
|
|
Rubin, AE (2021). Benford’s law: Applications to ordinary-chondrite mass distributions. Meteoritics & Planetary Science, pp. 1-14. DOI:10.1111/maps.13626.
|
|
|
|
|
Rücker, G (2003). Benford's Law in Medical Data Sets. In Proceedings of 49th Biometric Conference of the German Region of theInternational Biometric Society at Wuppertal, March 2003.
|
|
|
|
|
Ryder, P (2009). The Relationship Between the Newcomb-Benford Law and the Distribution of Rational Numbers. Zeitschrift für Naturforschung 64a, pp. 615-617.
|
|
|
|
|
Ryder, P (2009). Multiple origins of the Newcomb-Benford law: rational numbers, exponential growth and random fragmentation. Staats- und Universitätsbibliothek Bremen, Germany.
|
|
|
|
|