| Amershi, AH and Feroz, EH (2000). The occurrence of Fibanocci numbers in time series of financial accounting ratios. Anomalies or indicators of firm survival, bankruptcy and fraud? An exploratory study. Managerial Finance 26(11), 5-20. |
 |
|
|
|
| Bolton, RJ and Hand, DJ (2002). Statistical Fraud Detection: a review. Statistical Science 17(3), 235-249. |
 |
|
|
|
| Bourke, N and van Peursem, K (2004). Detecting fraudulent financial reporting: teaching the 'watchdog' new tricks. Working paper 79, University of Waikato. ISSN:1173-7182. |
 |
|
|
|
| Brähler, G, Bensmann, M and Emke, AL (2010). Der Einsatz mathematisch-statistischer Methoden in der
digitalen Betriebsprüfung. Illmenauer Schriften zur Betriebswirtschaftslehre 4/2010. |
 |
|
|
|
| Brähler, G, Bensmann, M and Jakobi, HR (2011). Das Benfordsche Gesetz und seine Anwendbarkeit bei der digitalen Prüfung von Fahrtenbüchern. Ilmenauer Schriften zur Betriebswirtschaftslehre 3/2011. |
 |
|
|
|
| Brown, RJC (2005). Benford's Law and the screening of analytical data: the case of pollutant concentrations in ambient air. Analyst 130(9), 1280-1285. ISSN:0002-2654. |
 |
|
|
|
| Ciofalo, M (2009). Entropy, Benford’s first digit law, and the distribution of everything. Dipartimento di Ingegneria Nucleare, Universitŕ degli Studi di Palermo, Italy. |
 |
|
|
|
| Cleary, R and Thibodeau, JC (2005). Applying Digital Analysis Using Benford‘s Law to Detect Fraud: The Dangers of Type I Errors. Auditing - A Journal of Practice & Theory 24(1), 77-81. ISSN:0278-0380. |
 |
|
|
|
| Dickinson, JR (2002). A universal mathematical law criterion for algorithmic validity. Developments in Business Simulation and Experiential Learning 29, 26-33. |
 |
|
|
|
| Diniz, JA, dos Santos, J, Dieng, M and Diniz, MAA (2006). Comprovaçăo de Eficácia da Aplicaçăo de Modelos Contabilométricos no Campo daAuditoria Digital das Contas Públicas Municipais: caso de um Tribunal de Contas de um estado brasileiro. |
 |
|
|
|
| Dlugosz, S and Müller-Funk, U (2009). The value of the last digit: statistical fraud detection with digit analysis. Advances in Data Analysis and Classification 3, 281-290. |
 |
|
|
|
| Dos Santos, J, Diniz, JA and Corrar, LJ (2005). O Foco é a Teoria Amostral nos Campos da Auditoria Contábil Tradicional e da Auditoria Digital: testando a Lei de Newcomb-Benford para o primeiro digito nas contas publicas. Brazilian Business Review 2 (1), 71-89. |
 |
|
|
|
| Drake, PD and Nigrini, MJ (2000). Computer assisted analytical procedures using Benford’s law. Journal of Accounting Education 18, 127-146. |
 |
|
|
|
| Dumas, CF and Devine, JH (2000). Detecting Evidence of Non-Compliance in Self-
Reported Pollution Emissions Data: An Application of Benford’s Law. Selected Paper, American Agricultural Economics Association, Annual meeting. |
 |
|
|
|
| Durtschi, C, Hillison, W and Pacini, C (2004). The effective use of Benford’s law to assist in detecting fraud in accounting data. Journal of Forensic Accounting 1524-5586/Vol. V, 17-34. |
 |
|
|
|
| Ettredge, ML and Srivastava, RP (1999). Using digital analysis to enhance data integrity. Issues in Accounting Education 14(4), 675-690. |
 |
|
|
|
| Göb, R (2007). Data Conformance Testing by Digital Analysis–A Critical Review and an Approach to More Appropriate Testing. Quality Engineering 19 (4), 281-297. |
 |
|
|
|
| Gonzalez-Garcia, J and Pastor, G (2009). Benford’s Law and Macroeconomic Data Quality. International Monetary Fund Working Paper WP/09/10, Statistics Department, January 2009. |
 |
|
|
|
| Guan, L, He, D and Yang, D (2006). Auditing, integral approach to quarterly reporting, and cosmetic earnings management. Managerial Auditing Journal 21(6), 569-581. |
 |
|
|
|
| Guan, L, Skousen, CJ and Wetzel, TS (2005). Unusual Patterns in Reported Earnings: Additional Evidence. Journal of Forensic Accounting 6(2), 317-332. |
 |
|
|
|
| Hales, DN, Sridharan, V, Radhakrishnan, A, Chakravorty, SS and Sihad, SM (2008). Testing the accuracy of employee-reported data: An inexpensive alternative approach to traditional methods. European Journal of Operational Research 189(3), 583-593. |
 |
|
|
|
| Huang, SM, Yen, DC, Yang, LW and Hua, JS (2008). An investigation of Zipf's Law for fraud detection. Decision Support Systems 46(1), 70-83. |
 |
|
|
|
| Huxley, SJ (2001). Why Benford's Law works and How to do digit analysis on spreadsheets. University of San Francisco website. |
 |
|
|
|
| Jamain, A (2001). Benford’s Law. Master Thesis. Imperial College of London and ENSIMAG. |
 |
|
|
|
| Jang, D, Kang, JU, Kruckman, A, Kudo, J and Miller, SJ (2008). Chains of distributions, hierarchical Bayesian models and Benford's Law. Journal of Algebra, Number Theory: Advances and Applications 1(1), 37-60. |
 |
|
|
|
| Jasak, Z (2010). Benfordov zakon i reinforcement učenje (Benford's Law and reinforcment learning)
. MSc Thesis, University of Tuzla, Bosnia. |
 |
|
|
|
| Jasak, Z and Banjanovic-Mehmedovic, L (2008). Detecting Anomalies by Benford's Law. pp 453-458 in: IEEE International Symposium on Signal Processing and Information Technology, 2008. ISSPIT 2008. ISSN:978-1-4244-3554-8. |
 |
|
|
|
| Lin, F, Guan, L and Fang, W (2009). Heaping In Reported Earnings: Evidence from Monthly Financial Reports of Taiwanese Firms. |
 |
|
|
|
| Linville, M (2008). Introducing digit analysis with an interactive class exercise. Academy of Educational Leadership Journal 12(3), 55-69. |
 |
|
|
|
| Lolbert, T (2006). Digital Analysis: Theory and Applications in Auditing. Hungarian Statistical Review 84, Special number 10. ISSN:0039 0690. |
 |
|
|
|
| Lolbert, T (2007). Statisztikai eljárások alkalmazása az ellenőrzésben (Applications of statistical methods in monitoring). PhD thesis, Corvinus University, Budapest, Hungary. |
 |
|
|
|
| Lu, F and Boritz, JE (2005). Detecting Fraud in Health Insurance Data: Learning to Model Incomplete Benford’s Law Distributions. Machine Learning: ECML 2005 (Proceedings). Lecture Notes in Artificial Intelligence 3270, 633-640. ISSN:0302-9743. |
 |
|
|
|
| Lu, F, Boritz, JE and Covvey, D (2006). Adaptive fraud detection using Benford’s Law. Lecture Notes in Computer Science 4013, 347-358. |
 |
|
|
|
| Lu, OF and Giles, DE (2006). Benford's Law and Psychological Barriers in Certain eBay Auctions. Econometrics Working Paper EWP0606, University of Victoria. ISSN:1485-6441. |
 |
|
|
|
| Mansilla, R (2006). Análisis de los resultados electorales a partir de la Ley de Benford. preprint UNAM. |
 |
|
|
|
| Massé, B and Schneider, D (2011). A survey on weighted densities and their connection with the first digit phenomenon. Rocky Mountain Journal of Mathematics 41(5), 1395-1415. |
 |
|
|
|
| Miller, SJ and Nigrini, MJ (2006). Order Statistics and Shifted Almost Benford Behavior. Preprint. |
 |
|
|
|
| Miller, SJ and Nigrini, MJ (2008). The Modulo 1 Central Limit Theorem and Benford's Law for Products. International Journal of Algebra 2(3), 119 - 130. |
 |
|
|
|
| Miller, SJ and Nigrini, MJ (2008). Order Statistics and Benford's Law. To appear in: International Journal of Mathematics and Mathematical Sciences. |
 |
|
|
|
| Miller, SJ and Takloo-Bighash, R (2006). An invitation to modern number theory. Princeton University Press. |
 |
|
|
|
| Miller, SJ and Takloo-Bighash, R (2007). Introduction to Random Matrix Theory. From: An Invitation to Modern Number Theory, Princeton University Press. |
 |
|
|
|
| Mir, TA (2011). Law of the leading digits and the ideological struggle for numbers. physics arXiv:1104.3948. |
 |
|
|
|
| Mir, TA (2011). The law of the leading digits and the world religions. Physica A: Statistical Mechanics and its Applications, 391 (2012), 792-798. |
 |
|
|
|
| Mir, TA (2012). The leading digit distribution of the worldwide illicit financial flows. arXiv:1201.3432. |
 |
|
|
|
| Moore, GB and Benjamin, CO (2004). Using Benford's Law for fraud detection. Internal Auditing 19(1), 4-9. |
 |
|
|
|
| Nigrini, MJ (1999). I’ve got your number. Journal of Accountancy 187(5), 79-83. |
 |
|
|
|
| Nigrini, MJ (1999). Peculiar patterns of first digits. IEEE Potentials 18(2), 24-27. |
 |
|
|
|
| Nigrini, MJ (2000). Continuous Auditing. Preprint. |
 |
|
|
|
| Nigrini, MJ (2005). An Assessment of the Change in the Incidence of Earnings Management Around the Enron-Andersen Episode. Review of Accounting and Finance 4, 92-110. |
 |
|
|
|
| Nigrini, MJ and Miller, SJ (2007). Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data. Mathematical Geology 39(5), 469-490. ISSN:0882-8121. |
 |
|
|
|
| Nigrini, MJ and Miller, SJ (2009). Data Diagnostics Using Second-Order Tests of Benford's Law. Auditing: A Journal of Practice & Theory 28(2), 305-324. |
 |
|
|
|
| Niskanen, J and Keloharju, M (2000). Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms. European Accounting Review 9(3), 443-452. |
 |
|
|
|
| Orita, M, Moritomo, A, Niimi, T and Ohno, K (2010). Use of Benford’s law in drug discovery data. Drug Discovery Today 15(9/10), 328-331. |
 |
|
|
|
| Otey, ME (2006). Approaches to Abnormality Detection with Constraints. PhD thesis, The Ohio State University, USA. |
 |
|
|
|
| Rauch, B, Brähler, G, Engel, S and Göttsche, M (2011). Fact and Fiction in EU-Governmental Economic Data. German Economic Review 12(3), 243-255. |
 |
|
|
|
| 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, 135-146. |
 |
|
|
|
| Rodriguez, RJ (2004). First Significant Digit Patterns from Mixtures of Uniform Distributions. American Statistician 58(1), 64-71. ISSN:0003-1305. |
 |
|
|
|
| Rodriguez, RJ (2004). Reducing False Alarms in the Detection of Human Influence on Data. Journal of Accounting, Auditing & Finance 19(2), 141-158. |
 |
|
|
|
| Saville, A (2003). Using Benford's Law to predict data error and fraud. An examination of companies listed on the JSE securities exchange. |
 |
|
|
|
| Saville, A (2006). Using Benford's law to detect data error and fraud: an examination of companies listed on the Johannesburg Stock Exchange. South African Journal of Economic and Management Sciences 9(3), 341-354. ISSN:1015-8812. |
 |
|
|
|
| Shao, L and Ma, BQ (2010). Empirical mantissa distributions of pulsars. Astroparticle Physics 33, 255-262. |
 |
|
|
|
| Shao, L and Ma, BQ (2010). The significant digit law in statistical physics. Physica A 389, 3109-3116. |
 |
|
|
|
| Skousen, CJ, Guan, L and Wetzel, TS (2004). Anomalies and unusual patterns in reported earnings: Japanese managers round earnings. Journal of International Financial Management & Accounting 15(3), 212-234. |
 |
|
|
|
| Strzałka, D (2010). On some properties of Benford's law. Journal of the Korean Math. Soc. 47, 1055-1075. |
 |
|
|
|
| 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:0143-0807. |
 |
|
|
|
| Tsung, F, Zhou, Z and Jiang, W (2007). Applying manufacturing batch techniques to fraud detection with incomplete customer information. IIE Transactions 39(6), 671-680. |
 |
|
|
|
| van Caneghem, T (2002). Earnings management induced by cognitive reference points. The British Accounting Review 34(2), 167-178. |
 |
|
|
|
| van Caneghem, T (2004). The impact of audit quality on earnings rounding-up behaviour: some UK evidence. European Accounting Review 13(4), 771-786. |
 |
|
|
|
| Wallace, WA (2002). Assessing the quality of data used for benchmarking and decision- making. The Journal of Government Financial Management 51(3), 16-22. |
 |
|
|
|