This work is cited by the following items of the Benford Online Bibliography:
Aldous, D and Phan, T (2009). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. Class project report, Statistics Department, UC Berkeley. | ![]() |
![]() |
![]() |
![]() |
Aldous, D and Phan, T (2010). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. The American Statistician 64(3), pp. 221–227. ISSN/ISBN:0003-1305. DOI:10.1198/tast.2010.09098. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Bannier, C, Ewelt-Knauer, C, Lips, J and Winker, P (2020). Benford’s Law and Its Application to Detecting Financial Fraud and Manipulation. Ch. 18 in: Corruption and Fraud in Financial Markets: Malpractice, Misconduct and Manipulation, C. Alexander and D. Cumming (Eds.), John Wiley & Sons: Chichester, U.K., pp. 473-504. ISSN/ISBN:978-1-119-42177-1. | ![]() |
![]() |
![]() |
![]() |
Bannier, C, Ewelt-Knauer, C, Winker, P and Lips, J (2019). Benford’s law and its application to detecting financial fraud and manipulation. Chapter 5 of Econometric Modelling of Energy & Financial Markets, Doctoral Thesis of Johannes Lips, Justus-Liebig University Gießen . | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Barney, BB and Schulzke, KS (2016). Moderating "Cry Wolf" events with excess MAD in Benford's law research and practice. J. Forensic Account. Res. 1 (1), A66–A90. DOI:10.2308/jfar-51622. | ![]() |
![]() |
![]() |
![]() |
Baumeister, J and Macedo, TG (2011). Von den Zufallszahlen und ihrem Gebrauch. Stand: 21, November 2011. GER | ![]() |
![]() |
![]() |
![]() |
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 Twelves, I (2018). On the significands of uniform random variables. Journal of Applied Probability 55(2), pp. 353-367. DOI:10.1017/jpr.2018.23. | ![]() |
![]() |
![]() |
![]() |
Biau, D. (2015). The first-digit frequencies in data of turbulent flows. Physica A: Statistical Mechanics and its Applications Volume 440, pp. 147-154. DOI:10.1016/j.physa.2015.08.016. | ![]() |
![]() |
![]() |
![]() |
Block, HW and Savits, TH (2010). A General Example for Benford Data. The American Statistician 64(4), pp. 335-339. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Cole, MA, Maddison, DJ and Zhang, L (2019). Testing the emission reduction claims of CDM projects using the Benford's Law. Climatic Change. DOI:10.1007/s10584-019-02593-5. | ![]() |
![]() |
![]() |
![]() |
Cong, M, Li, C and Ma, BQ (2019). First digit law from Laplace transform. Phys. Lett. A, 383(16), pp. 1836-1844. DOI:10.1016/j.physleta.2019.03.017 . | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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 | ![]() |
![]() |
![]() |
![]() |
Diaz, J, Gallart, J and Ruiz, M (2014). On the Ability of the Benford’s Law to Detect Earthquakes and Discriminate Seismic Signals. Seismological Research Letters 86(1), pp. 192-201. DOI:10.1785/0220140131. | ![]() |
![]() |
![]() |
![]() |
Eliazar, II (2013). Benford's Law: A Poisson Perspective. Physica A 392(16) pp. 3360–3373. DOI:10.1016/j.physa.2013.03.057. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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 | ![]() |
![]() |
![]() |
![]() |
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 (2013). A propos du bias d'équiprobabilité [About the 'equiprobability bias']. Recherches en Didactique des Mathématiques 33, pp. 163-182. 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. | ![]() |
![]() |
![]() |
![]() |
Gauvrit, N, Houillon, J-C and Delahaye, J-P (2017). Generalized Benford’s Law as a Lie Detector. Advances in Cognitive Psychology 13(2), pp. 121-127. DOI:10.5709/acp-0212-x. | ![]() |
![]() |
![]() |
![]() |
Genest, V and Genest, C (2011). La loi de Newcomb-Benford ou la loi du premier chiffre significatif. Bulletin Association Mathématique du Québec, Vol. LI, no 2, pp. 22-39. FRE | ![]() |
![]() |
![]() |
![]() |
Goldoni, E, Savazzi, P and Gamba, P (2012). A novel source coding technique for wireless sensor networks based on Benford's law . 2012 IEEE Workshop on Environmental Energy and Structural Monitoring Systems (EESMS), 26-28 Sept. 2012, pp 32-34 . ISSN/ISBN:978-1-4673-2739-8 . | ![]() |
![]() |
![]() |
![]() |
Gómez-Camponovo M, Moreno, J, Idrovo, ÁJ, Páez, M and Achkar, M (2016). Monitoring the Paraguayan epidemiological dengue surveillance system (2009-2011) using Benford's law. Biomédica 36, pp. 583-92. DOI:10.7705/biomedica.v36i4.2731. | ![]() |
![]() |
![]() |
![]() |
Gonsalves, RA (2020). Benford’s Law — A Simple Explanation. Posted on towardsdatascience.com blog October 1; last accessed October 10, 2020. | ![]() |
![]() |
![]() |
![]() |
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) . | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Hickman, MJ and Rice, SK (2010). Digital Analysis of Crime Statistics: Does Crime Conform to Benford’s Law?. Journal of Quantitative Criminology 26(3), pp. 333-349. ISSN/ISBN:1573-7799. DOI:10.1007/s10940-010-9094-6. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Joannes-Boyau, R, Bodin, T, Scheffers, A, Sambridge, M and May, SM (2015). Using Benford’s law to investigate Natural Hazard dataset homogeneity. Nature -Scientific Reports 5:12046, pp. 1-8 . DOI:10.1038/srep12046. | ![]() |
![]() |
![]() |
![]() |
Jones, WA (2019). A Benford Analysis of National Collegiate Athletic Association Division I Finance Data. Journal of Sports Economics. DOI:10.1177/1527002519887430. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Koesters, N, McMenemy, A and Bélanger, Y (2020). Simulating Epidemics with a SIRD Model and Testing with Benford’s Law. Preprint. | ![]() |
![]() |
![]() |
![]() |
Kopczewski, T and Okhrimenko, I (2019). Playing with Benford’s Law. E-print posted on http://www.nbp.pl/badania/seminaria/8ii2019.pdf; last accessed June 6, 2019. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Le, T and Lobo, GJ (2020). Audit Quality Inputs and Financial Statement Conformity to Benford’s Law. Journal of Accounting, Auditing & Finance. DOI:10.1177/0148558X20930467. | ![]() |
![]() |
![]() |
![]() |
Lesser, L and Glickman, M (2009). Using magic in the teaching of probability and statistics. Model Assisted Statistics and Applications 4, pp. 265-274. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Ma'arif, MY, Jalal, AAA, Satar, NSM and Samah, MAA (2020). Detecting ERP Data Fraud Using the First Digits Formula of Benford’s Law . Sci.Int.(Lahore) 32(4),pp. 439-444. | ![]() |
![]() |
![]() |
![]() |
Macías, ALO and Ogua, ST (2018). Encontrando datos anómalos en la tributación. Aplicación de la Ley de Benford en el Impuesto a la Renta en Ecuador [Finding anomalous data in taxation. Application of the Benford Law on Income Tax in Ecuador]. SaberEs 10(2), pp. 173-188. SPA | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Margellou, AG and Pomonis, PJ (2020). Benford's law, Zipf's law and the pore properties in solids. Microporous and Mesoporous Materials 292, p. 109735. DOI:10.1016/j.micromeso.2019.109735. | ![]() |
![]() |
![]() |
![]() |
Morrison, KE (2010). The Multiplication Game. Mathematics Magazine 83, pp. 100-110. ISSN/ISBN:0025-570X. DOI:10.4169/002557010X482862. | ![]() |
![]() |
![]() |
![]() |
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). | ![]() |
![]() |
![]() |
![]() |
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 | ![]() |
![]() |
![]() |
![]() |
Pimbley, JM (2014). Benford’s Law and the Risk of Financial Fraud. Global Association of Risk Professionals (garp.org). Last retrieved 20 April 2018. | ![]() |
![]() |
![]() |
![]() |
Pimbley, JM (2014). Benford’s Law as a Logarithmic Transformation. Maxwell Consulting Archives. Last retrieved 20 April 2018. | ![]() |
![]() |
![]() |
![]() |
Plaček, M (2012). Benfordův zákon, fakta a mýty [Benford´s law, facts and myths]. New Trends 2012 - Proceedings of 7th international scientific conference. Private College of Economics Studies Znojmo, pp. 193-199. CZE | ![]() |
![]() |
![]() |
![]() |
Pollach, G, Brunkhorst, F, Mipando, M, Namboya, F, Mndolo, S and Luiz, T (2016). The "first digit law" - A hypothesis on its possible impact on medicine and development aid. Medical Hypotheses 97, pp. 102-106. DOI:10.1016/j.mehy.2016.10.021. | ![]() |
![]() |
![]() |
![]() |
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 | ![]() |
![]() |
![]() |
![]() |
Romero-Rochin, V (2009). A derivation of Benford's Law ... and a vindication of Newcomb. preprint arXiv:0909.3822. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Said, T and Mohammed, K (2020). Detection of anomaly in socio-economic databases, by Benford probability law. 2020 IEEE 6th International Conference on Optimization and Applications (ICOA), Beni Mellal, Morocco, 2020, pp. 1-4. DOI:10.1109/ICOA49421.2020.9094466. | ![]() |
![]() |
![]() |
![]() |
Sambridge, M, Tkalčić, H and Arroucau, P (2011). Benford's Law of First Digits: From Mathematical Curiosity to Change Detector. Asia Pacific Mathematics Newsletter 1(4), October 2011, 1-6. ISSN/ISBN:2010-3484. | ![]() |
![]() |
![]() |
![]() |
Santiwipanont, T, Sumetkijakan, S and Wiriyakraikul, T (2019). Benfordness of Chains of Truncated Beta Distributions via a Piecewise Constant Approximation. In: Kreinovich V., Sriboonchitta S. (eds) Structural Changes and their Econometric Modeling. TES 2019. Studies in Computational Intelligence, vol 808. Springer, Cham, pp. 342-351. DOI:10.1007/978-3-030-04263-9_26. | ![]() |
![]() |
![]() |
![]() |
Schiavo, M (2010). Analisi statistica sulla legge di benford. Tesi di Laurea, Facoltà di Scienze Statistiche, Universita' degli studi di Padova. ITA | ![]() |
![]() |
![]() |
![]() |
Seenivasan, P, Easwaran, S, Sridhar, S and Sinha, S (2016). Using Skewness and the First-Digit Phenomenon to Identify Dynamical Transitions in Cardiac Models. Frontiers in Physiology 6, p. 390. DOI:10.3389/fphys.2015.00390. | ![]() |
![]() |
![]() |
![]() |
Shikano, S and Mack, V (2011). When does 2nd Digit Benford´s Law-Test signal an election fraud? Facts or misleading test results. Jahrbücher für Nationalökonomie und Statistik 231 (5+6), 719-732. | ![]() |
![]() |
![]() |
![]() |
Stoessiger, R (2013). Benford’s Law and why the integers are not what we think they are. Australian Senior Mathematics Journal, Vol. 27, No. 1, pp. 29-46. ISSN/ISBN:0819-4564. | ![]() |
![]() |
![]() |
![]() |
Sugiarto, T, Noorzaman, S, Madu, L, Subagyo, A and Amiri, AM (2017). First Digit Lucas, Fibonacci and Benford Number in Financial Statement. Proceedings of the 2017 International Conference on Economic Development and Education Management (ICEDEM 2017). DOI:10.2991/icedem-17.2017.6. | ![]() |
![]() |
![]() |
![]() |
Tirunagari, S, Abasolo, D, Iorliam, A, Ho, ATS and Poh, N (2017). Using Benford’s Law to Detect Anomalies in Electroencephalogram: An Application to Detecting Alzheimer’s Disease. In: Proceedings of 2017 IEEE Conference on Computational Intelligence in Bioinformatics and Computational Biology (CIBCB), Manchester, 2017, pp. 1-6. DOI:10.1109/CIBCB.2017.8058547. | ![]() |
![]() |
![]() |
![]() |
Toledo, PA, Riquelme, SR and Campos, JA (2015). Earthquake source parameters that display the first digit phenomenon. Nonlin. Processes Geophys., 22(5), pp. 625–632. DOI:10.5194/npg-22-625-2015. | ![]() |
![]() |
![]() |
![]() |
Tota, I, Aliaj, A and Lamçja, J (2016). The use of Benford’s law as a tool for detecting fraud in accounting data. Interdisciplinary Journal of Research and Development 3(1), pp. 73-77. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Uzuner, MT (2014). Benford yasasinin borsa i̇stanbul’da i̇şlem gören bankalarin konsoli̇de bi̇lançolarina uygulanmasi. Finansal Araştırmalar ve Çalışmalar Dergisi, Cilt: 5, Sayı: 10,Ocak 2014, ss. 73-82. ISSN/ISBN:1309-1123. DOI:10.14784/JFRS.2014104500. TUR | ![]() |
![]() |
![]() |
![]() |
Valadier, M (2012). The Benford phenomenon for random variables. Discussion of Feller's way. Math arXiv:1203.2518; posted 19 Apr 2012. | ![]() |
![]() |
![]() |
![]() |
Varga, D (2020). No-Reference Image Quality Assessment Based on the Fusion of Statistical and Perceptual Features. Journal of Imaging 6(8), 75. DOI:10.3390/jimaging6080075. | ![]() |
![]() |
![]() |
![]() |
Wagon, S (2009). Benford's Law and Data Spread. Wolfram Online Demonstrations Projects. | ![]() |
![]() |
![]() |
![]() |
Whyman, G, Shulzinger, E and Bormashenko, E (2016). Intuitive considerations clarifying the origin and applicability of the Benford law. Results in Physics Volume 6, pp. 3-6 . DOI:10.1016/j.rinp.2015.11.010. | ![]() |
![]() |
![]() |
![]() |
Yan, X, Yang, S-G, Kim, BJ and Minnhagen, P (2017). Benford's Law and First Letter of Word. Physica A: Statistical Mechanics and its Applications 512, pp. 305-315. DOI:10.1016/j.physa.2018.08.133. | ![]() |
![]() |
![]() |
![]() |
Yang, L and Fu, Z (2017). Out-phased decadal precipitation regime shift in China and the United States. Theor Appl Climatol (2017) 130, pp. 535–544. DOI:10.1007/s00704-016-1907-6. | ![]() |
![]() |
![]() |
![]() |