Cross Reference Up

Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ.

This work is cited by the following items of the Benford Online Bibliography:

Note that this list may be incomplete, and is currently being updated. Please check again at a later date.

Adam, I, Fazekas, M, Kazmina, Y, Teremy, Z, Tóth, B, Villamil, IR and Wachs, J (2022). Public procurement cartels: A systematic testing of old and new screens. Government Transparency Institute Working Paper series: GTI-WP/2022:01, Budapest, Hungary. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Amouzegar, M and Moshirvaziri, K (2018). Information Security and Benford’s Law . Posted on Decision Sciences Institute blog May 3; last accessed October 11, 2019. View Complete Reference Online information Works that this work references Works that reference this work
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) . View Complete Reference Online information Works that this work references Works that reference this work
Anderson, KM, Dayaratna, K, Gonshorowski, D and Miller, SJ (2022). A New Benford Test for Clustered Data with Applications to American Elections. Stats 5(3), pp. 841–855. DOI:10.3390/stats5030049 . View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ausloos, M, Ficcadenti, V, Dhesi, G and Shakeel, M (2021). Benford’s laws tests on S&P500 daily closing values and the corresponding daily log-returns both point to huge non-conformity. Physica A: Statistical Mechanics and its Applications 574, pp. 125969. DOI:10.1016/j.physa.2021.125969. View Complete Reference Online information Works that this work references Works that reference this work
Ausloos, M, Ficcadenti, V, Dhesi, G and Shakeel, M (2021). Benford's laws tests on S&P500 daily closing values and the corresponding daily log-returns both point to huge non-conformity. Preprint arXiv:2104.07962 [q-fin.ST]; last accessed April 30, 2021. To appear in: Physica A: Statistical Mechanics and its Applications, 574. DOI:10.1016/j.physa.2021.125969. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Barabesi, L, Cerioli, A and Perrotta, D (2021). Forum on Benford’s law and statistical methods for the detection of frauds. Statistical Methods & Applications 30, pp. 767–778. DOI:10.1007/s10260-021-00588-0. View Complete Reference Online information Works that this work references Works that reference this work
Barabesi, L and Pratelli, L (2020). On the Generalized Benford law. Statistics & Probability Letters 160, 108702 . DOI:10.1016/j.spl.2020.108702. View Complete Reference Online information Works that this work references Works that reference this work
Batange, C, Burgett, D, Haws, L and Nelson, SP (2023). The "Benfordness" of Bach Music. Journal of Humanistic Mathematics 13(2) pp. 389-397. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Becker, T, Burt, D, Corcoran, TC, Greaves-Tunnell, A, Iafrate, JR, Jing, J, Miller, SJ, Porfilio, JD, Ronan, R, Samranvedhya, J, Strauch, FW and Talbut, B (2018). Benford's Law and Continuous Dependent Random Variables. Annals of Physics 388, pp. 350–381. DOI:10.1016/j.aop.2017.11.013. View Complete Reference Online information Works that this work references Works that reference this work
Benford, FA (2016). Construction of Benford Random Variables: Generators and Seed Functions. Preprint arXiv:1609.04852 [math.GM]; last accessed Aug 9, 2017. View Complete Reference Online information Works that this work references Works that reference this work
Benford, FA (2017). Base Dependence of Benford Random Variables. Preprint arXiv:1702.01644 [math.GM]; last accessed Aug 9, 2017. View Complete Reference Online information Works that this work references Works that reference this work
Benford, FA (2020). Fourier Analysis and Benford Random Variables. Preprint arXiv:arXiv:2006.07136 [stat.OT]; last accessed June 20, 2020. View Complete Reference Online information Works that this work references Works that reference this work
Benford, FA (2021). Base Dependence of Benford Random Variables. Stats 4(3), pp. 578-594. DOI:10.3390/stats4030034. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Benjamin, AT (2019). The Long and the Short of Benford’s Law. Math Horizons 26(4), pp. 8-9. DOI:10.1080/10724117.2019.1568086. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Berger, A (2015). Most linear flows on ℝ^d are Benford . Journal of Differential Equations 259(5), pp. 1933–1957. DOI:10.1016/j.jde.2015.03.016. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2017). What is…Benford's Law?. Notices of the AMS 64(2), pp. 132-134. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2019). The Mathematics of Benford's Law--A Primer. Preprint arXiv:1909.07527 [math.ST]; last accessed September 22, 2019. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2020). The mathematics of Benford’s law: a primer. Statistical Methods & Applications 30, pp. 779-795. DOI:10.1007/s10260-020-00532-8. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Xu, C (2018). Best Finite Approximations of Benford’s Law. Journal of Theoretical Probability. DOI:10.1007/s10959-018-0827-z. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Turnage-Butterbaugh, C and Weinstein, M (2017). Benford Behavior of Generalized Zeckendorf Decompositions. In: Nathanson M. (eds) Combinatorial and Additive Number Theory II. CANT 2015, CANT 2016. Springer Proceedings in Mathematics & Statistics, vol 220. Springer, Cham. DOI:10.1007/978-3-319-68032-3_3. View Complete Reference Online information Works that this work references Works that reference this work
Betti, L, Durmić, I, McDonald, Z, Miller, JB and Miller, SJ (2023). Benfordness of Measurements Resulting from Box Fragmentation. Preprint arXiv:2304.08335 [math.PR]; last accessed April 29, 2023. View Complete Reference Online information Works that this work references Works that reference this work
Bi, Z, Durmić, I and Miller, SJ (2022). Benfordness of the Generalized Gamma Distribution. Preprint arXiv:2201.10514 [math.PR]; last accessed January 31, 2022. Published in The PUMP Journal of Undergraduate Research 5, pp. 89–104. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Blondeau Da Silva, S (2020). BeyondBenford: Compare the Goodness of Fit of Benford's and Blondeau Da Silva's Digit Distributions to a Given Dataset. R package version 1.4. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference No online information available Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2017). Leading Digits of Mersenne Numbers. Preprint in arXiv:1712.04425 [math.NT]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2021). Leading digits of Mersenne numbers. Experimental Mathematics 30(3), pp. 405–421. DOI:10.1080/10586458.2018.1551162. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Hildebrand, AJ and Li, J (2018). A local Benford Law for a class of arithmetic sequences. Preprint arXiv:1808.01496 [math.NT]; last accessed October 22, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Hildebrand, AJ and Li, J (2019). A local Benford law for a class of arithmetic sequences. International Journal of Number Theory 15(3), pp.613-638. DOI:10.1142/S1793042119500325. View Complete Reference Online information Works that this work references Works that reference this work
Campos, L, Salvo, AE and Flores-Moya, A (2016). Natural taxonomic categories of angiosperms obey Benford's law, but artificial ones do not. Systematics and Biodiversity 14(5), pp. 431-440. ISSN/ISBN:1477-2000 (Print)/ 1. DOI:10.1080/14772000.2016.1181683. View Complete Reference Online information Works that this work references Works that reference this work
Cangiotti, N and Sensi, M (2022). Benford’s Law: A Number-Theoretical Perspective . Palestine Journal of Mathematics 11(3), pp. 379–385. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Capalbo, F, Galati, L, Lupi, C and Smarra, M (2022). The Impact of Elections on the Quality of Financial Statements in Municipally Owned Entities. University of Molise Economics and Statistics Discussion Paper n. 078/22. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Capalbo, F, Galati, L, Lupi, C and Smarra, M (2023). Local elections and the quality of financial statements in municipally owned entities: A Benford analysis. Chaos, Solitons and Fractals 173 p. 113752. DOI:10.1016/j.chaos.2023.113752. View Complete Reference Online information Works that this work references Works that reference this work
Capalbo, F, Galati, L, Lupi, C and Smarra, M (2023). Proportional appropriation systems and financial statement quality in municipally owned entities: empirical evidence from Italy. Journal of Public Budgeting, Accounting & Financial Management. DOI:10.1108/JPBAFM-01-2023-0015. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cerasa, A (2022). Testing for Benford’s Law in very small samples: Simulation study and a new test proposal. PLoS ONE 17(7), pp. e0271969. DOI:10.1371/journal.pone.0271969. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Cerioli, A, Barabesi, L, Cerasa, A and Perrotta, D (2022). Who is afraid of the probability-savvy fraudster?. Conference presentation at MBC2 2022 Models and Learning for Clustering and Classification 6th International Workshop, Catania. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cerqueti, R and Lupi, C (2021). Some New Tests of Conformity with Benford's Law. Stats 4(3), pp. 745-761. DOI:10.3390/stats4030044. View Complete Reference Online information Works that this work references Works that reference this work
Cerqueti, R and Maggi, M (2021). Data validity and statistical conformity with Benford’s Law. Chaos, Solitons & Fractals 144, p. 110740 . DOI:10.1016/j.chaos.2021.110740. View Complete Reference Online information Works that this work references Works that reference this work
Chang, JC (2017). A Study of Benford's Law, With Applications to the Analysis of Corporate Financial Statements. Masters Thesis, The Graduate School Eberly College of Science, The Pennsylvania State University. View Complete Reference Online information Works that this work references Works that reference this work
Chen, C-W, Yu, S-Y and Chen, H-Y (2021). Investigation of Benford’s Law with YouTube Social Media Statistics. Journal of Student Research (High School Edition) 10(3). ISSN/ISBN:2167-1907. DOI:10.47611/jsrhs.v10i3.1677. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chen, E, Park, PS and Swaminathan, AA (2016). On logarithmically Benford Sequences. Proc. Amer. Math. Soc. 144, pp. 4599-4608. DOI:10.1090/proc/13112 . View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chenavier, N and Schneider, D (2018). On the discrepancy of powers of random variables. Statistics & Probability Letters 134, pp. 5-14. DOI:10.1016/j.spl.2017.10.006. View Complete Reference Online information Works that this work references Works that reference this work
Chi, D and Burns, BD (2022). Why do People fit to Benford’s Law? – A Test of the Recognition Hypothesis. In: Proceedings of the 44th Annual Conference of the Cognitive Science Society, J. Culbertson, A. Perfors, H. Rabagliati & V. Ramenzoni (Eds.), pp. 3648-3654. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Coeurjolly, J-F (2020). Digit analysis for Covid-19 reported data . Preprint arXiv:2005.05009 [stat.AP]; last accessed May 17, 2020. View Complete Reference Online information Works that this work references Works that reference this work
Crisan, D and Gota, DI (2023). The First-Digit Law application in digital forensics in crystal forgery research. Proceedings of 3rd International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME), Tenerife, Canary Islands, Spain, pp. 1-7. DOI:10.1109/ICECCME57830.2023.10253354. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cuenca, AV (2023). La Ley de Benford, Del Primer Dígito Significativo. Trabajo Fin de Grado en Matemáticas, Universidad de Valladolid . SPA View Complete Reference Online information Works that this work references No Bibliography works reference this work
da Cruz Filho, EC, Nunes, DMS and Santana, CM (2021). LEI DE BENFORD: uma análise de sua aplicabilidade na detecção de fraudes nas prestações de contas de senadores da República. Revista Brasileira de Ciências Policiais 12(6). DOI:10.31412%2Frbcp.v12i6.830. POR View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
de Jong, J, de Bruijne, J and De Ridder, J (2020). Benford’s law in the Gaia universe. Preprint arXiv:2008.12271 [astro-ph.GA]; last accessed August 8, 2022. Published Astron. & Astrophys. 642, A205. View Complete Reference Online information Works that this work references Works that reference this work
Drew, JH, Evans, DL, Glen, AG and Leemis, LM (2017). Products of Random Variables. In:Computational Probability: Algorithms and Applications in the Mathematical Sciences, Springer International Publishing, pp. 73-86. ISSN/ISBN:978-3-319-43323-3. DOI:10.1007/978-3-319-43323-3. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Drew, JH, Evans, DL, Glen, AG and Leemis, LM (2017). Other Applications. In: Computational Probability. International Series in Operations Research & Management Science, vol 246. Springer, Cham, pp. 301-321. ISSN/ISBN:978-3-319-43323-3. DOI:10.1007/978-3-319-43323-3_15. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Durmić, I (2022). Benford Behavior of a Higher Dimensional Fragmentation Processes. Undergraduate thesis, Williams College, Williamstown, Massachusetts. View Complete Reference Online information Works that this work references Works that reference this work
Durmić, I and Miller SJ (2023). Benford Behavior of a Higher-Dimensional Fragmentation Process. Preprint arXiv:2308.07404 [math.PR]; last accessed August 24, 2023. View Complete Reference Online information Works that this work references Works that reference this work
Durst, RF and Miller, SJ (2017). Benford's Law Beyond Independence: Tracking Benford Behavior in Copula Models. Preprint in arXiv:1801.00212 [math.PR]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references No Bibliography works reference this work
El Mouaaouy, F and Riepe, J (2018). Benford and the Internal Capital Market: A Useful Indicator of Managerial Engagement. German Economic Review 19, pp. 309-329. DOI:10.1111/geer.12129. View Complete Reference Online information Works that this work references Works that reference this work
Eliazar, II (2017). Harmonic statistics. Annals of Physics, Volume 380, pp. 168-187. DOI:10.1016/j.aop.2017.03.016. View Complete Reference Online information Works that this work references Works that reference this work
Eliazar, II (2020). First Digits. In: Power Laws. Understanding Complex Systems. Springer, Cham, pp. 153-157. DOI:10.1007/978-3-030-33235-8_14. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fang, X, Miller, SJ, Sun, M and Verga, A (2023). Generalized Continuous and Discrete Stick Fragmentation and Benford’s Law. Preprint arXiv:2309.00766 [math.PR]; last accessed September 12, 2023. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fang, X, Miller, SJ, Sun, M and Verga, A (2024). Benford’s Law and Random Integer Decomposition with Congruence Stopping Condition. Preprint. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Farris, M, Luntzlara, N, Miller, SJ, Shao, L and Wang, M (2021). Recurrence Relations and Benford's Law. Statistical Methods & Applications 30, pp. 797–817. DOI:10.1007/s10260-020-00547-1. View Complete Reference Online information Works that this work references Works that reference this work
Farris, M, Luntzlara, N, Miller, SJ, Zhao, L and Wang, M (2019). Recurrence Relations and Benford’s Law. Preprint arXiv:1911.09238 [math.PR]; last accessed December 8, 2019. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fellman, J (2016). En statistisk paradox. Quintensen No.2, pp. 15-17. SWE View Complete Reference Online information Works that this work references Works that reference this work
Fernandes, P and Antunes, M (2023). Benford’s law applied to digital forensic analysis. Forensic Science International: Digital Investigation 45, p. 301515. DOI:10.1016/J.FSIDI.2023.301515. View Complete Reference Online information Works that this work references Works that reference this work
Fernandes, P, Ó Ciardhuáin, S and Antunes, M (2024). Uncovering Manipulated Files Using Mathematical Natural Laws. In: Vasconcelos, V., Domingues, I., Paredes, S. (eds) Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications. CIARP 2023. Lecture Notes in Computer Science, vol 14469. Springer, Cham . DOI:10.1007/978-3-031-49018-7_4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Gabhane, P, Rahangdale, P, Raipure, P, Sinde, S and Rathod, S.C. (2023). Analyzing the Effectiveness of Benford's Law in Detecting Image Forgery: A Systematic Review. International Research Journal of Modernization in Engineering Technology and Science 5(5). DOI:0.56726/IRJMETS38131. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Galati, L (2020). Do Municipally Owned Utilities Round Earnings Before Elections? An Application of the Benford's Law. Unpublished Master's Dissertation, University of Molise. DOI:10.13140/RG.2.2.36384.51204. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Golafshan, M and Mitrofanov, I (2024). Complexity function of the most significant digits of 2ND. Preprint arXiv: 2402.16210[math.DS]; last accessed May 13, 2024. View Complete Reference Online information Works that this work references No Bibliography works reference this work
González, RG, González, RN and Valenzuela, RIG (2023). La Supremacía del Número Uno. EPISTEMUS 17(34). DOI:10.36790/epistemus.v17i34.275. SPA View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gottwalt, F, Waller, A and Liu, W (2016). Natural Laws as a Baseline for Network Anomaly Detection. In: Proceedings of 2016 IEEE Trustcom/BigDataSE/ISPA, pp. 370-377. DOI:10.1109/TrustCom.2016.0086. View Complete Reference Online information Works that this work references Works that reference this work
Gramm, R, Yost, J, Su, Q and Grobe, R (2017). Applications of the first digit law to measure correlations. Phys. Rev. E 95, 042136. DOI:10.1103/PhysRevE.95.042136. View Complete Reference Online information Works that this work references Works that reference this work
Haie, N (2021). Sefficiency (Sustainable Efficiency). In: Transparent Water Management Theory. Water Resources Development and Management. Springer:Singapore. DOI:10.1007/978-981-15-6284-6_4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hall, RC (2018). Why the Summation Test Results in a Benford, and not a Uniform Distribution, for Data that Conforms to a Log Normal Distribution. Preprint viXra.org > Number Theory > viXra:1809.0158; last accessed November 17, 2020. View Complete Reference Online information Works that this work references Works that reference this work
He, X, Hildebrand, AJ, Li, Y and Zhang, Y (2018). Complexity of Leading Digit Sequences. Preprint in arXiv:1804.00221 [math.NT]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Herbst, IW, Møller, J and Svane, AM (2023). How many digits are needed?. Preprint arXiv:2307.06685 [math.PR]; last accessed July 30, 2023. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hill, TP (2020). A Widespread Error in the Use of Benford's Law to Detect Election and Other Fraud. Preprint arXiv:2011.13015 [math.PR]; posted November 25, 2020. Last accessed November 30, 2020. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP and Fox, RF (2016). Hubble’s Law Implies Benford’s Law for Distances to Galaxies. Journal of Astrophysics and Astronomy 37(1), pp. 1-8. ISSN/ISBN:0973-7758. DOI:10.1007/s12036-016-9373-1. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2015). Prime powers and generalized Benford law. Pioneer Journal of Algebra, Number Theory and its Applications 12/2015; 10(1-2):51-70. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2015). A first digit theorem for powerful integer powers. SpringerPlus (2015) 4: 576. DOI:10.1186/s40064-015-1370-3. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2016). First digit counting compatibility for Niven integer powers. Journal of Progressive Research in Mathematics 7(4). ISSN/ISBN:2395-0218. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2016). First digit counting compatibility II: twin prime powers. Journal of Progressive Research in Mathematics(JPRM) 9(1), pp. 1341-1349. ISSN/ISBN:2395-0218. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Iorliam, A, Tirunagari, S, Ho, ATS, Li, S, Waller, A and Poh, N (2017). "Flow Size Difference" Can Make a Difference: Detecting Malicious TCP Network Flows Based on Benford's Law. arXiv:1609.04214v2 [cs.CR], last accessed February 6, 2017. View Complete Reference Online information Works that this work references Works that reference this work
Joksimović, D, Knežević, G, Pavlović, V, Ljubić, M and Surovy, V (2017). Some Aspects of the Application of Benford’s Law in the Analysis of the Data Set Anomalies. In: Knowledge Discovery in Cyberspace: Statistical Analysis and Predictive Modeling. New York: Nova Science Publishers, pp. 85–120. ISSN/ISBN:978-1-53610-566-7. View Complete Reference Online information Works that this work references Works that reference this work
Jolissaint, P (2017). L’étonnante loi de Benford. VSMP Bulletin No. 135, pp. 13-17. FRE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kak, S (2022). An Information Principle Based on Partitions. Preprint posted on TechRxiv; last accessed June 20, 2023. DOI:10.36227/techrxiv.21300963.v1. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kazemitabar, J (2021). Double-Crossing Benford's Law. Preprint arXiv:2105.09812 [stat.AP]; last accessed May 31, 2021. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kazemitabar, J (2022). A general framework for constructing distributions satisfying Benford’s law. Communications in Statistics - Simulation and Computation. DOI:10.1080/03610918.2022.2032153. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kennedy, AP and Yam, SCP (2020). On the authenticity of COVID-19 case figures. PLoS ONE 15(12): e0243123. DOI:10.1371/journal.pone.0243123. View Complete Reference Online information Works that this work references Works that reference this work
Kopczewski, T and Okhrimenko, I (2019). Playing with Benford’s Law. e-mentor 80(3), pp. 34−44 . View Complete Reference Online information Works that this work references Works that reference this work
Kössler, W, Lenz, H-J and Wang, XD (2021). Is the Benford Law Useful for Data Quality Assessment?. In: Knoth, S., Schmid, W. (eds) Frontiers in Statistical Quality Control 13. ISQC 2019, Springer, Cham, pp. 391-406. ISSN/ISBN:978-3-030-67856-2. DOI:10.1007/978-3-030-67856-2_22. View Complete Reference Online information Works that this work references Works that reference this work
Kössler, W, Lenz, H-J and Wang, XD (2023). Some new invariant sum tests and MAD tests for the assessment of Benford's Law. Preprint on ResearchSquare. DOI:10.21203/rs.3.rs-3336839/v1. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kowalski, JM (2016). Few more Comments on Benford’s Law. arXiv:1612.04200 [math.HO], last accessed February 16, 2017. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lacasa, L (2019). Newcomb–Benford law helps customs officers to detect fraud in international trade. Proceedings of the National Academy of Sciences 116(1), pp. 11-13. DOI:10.1073/pnas.1819470116. View Complete Reference Online information Works that this work references Works that reference this work
Lemons, DS (2019). Thermodynamics of Benford's first digit law. American Journal of Physics 87 (10) pp. 787-790. DOI:10.1119/1.5116005. View Complete Reference Online information Works that this work references Works that reference this work
Lemons, DS, Lemons, N and Peter, W (2021). First Digit Oscillations. Stats 4(3), pp. 595-601. DOI:10.3390/stats4030035. View Complete Reference Online information Works that this work references Works that reference this work
Lenci, A (2017). Benford's Law. Senior Essay, Saint Mary’s College of California, Department of Mathematics, Moraga, CA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lesperance, M, Reed, WJ, Stephens, MA, Tsao, C and Wilton, B (2016). Assessing Conformance with Benford’s Law: Goodness-Of-Fit Tests and Simultaneous Confidence Intervals. PLoS One 11(3): e0151235; published online 2016 Mar 28. DOI:10.1371/journal.pone.0151235. View Complete Reference Online information Works that this work references Works that reference this work
Liao, Z, Menon, D, Zhang, L, Lim, Y-J, Li, W, Li, X and Zhao, Y (2022). Management of the COVID-19 Pandemic in Singapore from 2020 to 2021: A Revisit. Reports 5(3), 35. DOI:10.3390/reports5030035. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Luo, P and Li, Y (2018). A new quantity for statistical analysis: "Scaling invariable Benford distance''. Preprint in: arXiv:1803.01117 [physics.data-an]; last accessed October 25, 2018. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Manack, C and Miller, SJ (2015). Leading digit laws on linear Lie groups. Research in Number Theory 1:22. DOI:10.1007/s40993-015-0024-4. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Maurus, S and Plant, C (2017). Let's See Your Digits: Anomalous-State Detection using Benford's Law. Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, August 2017, pp. 977–986. DOI:10.1145/3097983.3098101. View Complete Reference Online information Works that this work references Works that reference this work
Mbona, I and Eloff, JHP (2022). Feature selection using Benford’s law to support detection of malicious social media bots. Information Sciences 582, pp. 369-381. DOI:10.1016/j.ins.2021.09.038. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford. ISSN/ISBN:978-0-691-14761-1. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA and Ausloos, M (2018). Benford's law: a 'sleeping beauty' sleeping in the dirty pages of logarithmic tables. Journal of the Association for Information Science and Technology 69(3) pp. 349–358. DOI:10.1002/asi.23845. View Complete Reference Online information Works that this work references Works that reference this work
Nelson, SP, Wickman, B, Null, J and Gazin, E (2021). An evaluation of music’s adherence to Benford’s Law throughout history. Journal of Mathematical Sciences: Advances and Applications 67(1), pp. 73-84. DOI:10.18642/jmsaa_7100122222. View Complete Reference Online information Works that this work references Works that reference this work
Nelson, SP, Wickman, B, Null, J and Gazin, E (2022). Benford’s Law and Music Note Frequencies. In: Montiel, M., Agustín-Aquino, O.A., Gómez, F., Kastine, J., Lluis-Puebla, E., Milam, B. (eds) Mathematics and Computation in Music. MCM 2022. Lecture Notes in Computer Science(), vol 13267. Springer, Cham. DOI:10.1007/978-3-031-07015-0_34. View Complete Reference Online information Works that this work references Works that reference this work
Ngueilbaye, A, Huang, JZ, Khan, M and Wang, H (2023). Data quality model for assessing public COVID‑19 big datasets. The Journal of Supercomputing. DOI:10.1007/s11227-023-05410-0. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Nigrini, MJ (2015). Persistent Patterns in Stock Returns, Stock Volumes, and Accounting Data in the U.S. Capital Markets. Journal of Accounting, Auditing & Finance, Vol. 30(4) pp. 541–557. DOI:10.1177/0148558X15584051. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2016). The Implications of the Similarity between Fraud Numbers and the Numbers in Financial Accounting Textbooks and Test Banks. Journal of Forensic Accounting Research, Vol. 1, No. 1, pp. A1-A26. DOI:10.2308/jfar-51465. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2017). Audit Sampling Using Benford's Law: A Review of the Literature With Some New Perspectives. Journal of Emerging Technologies in Accounting Vol. 14, No. 2, pp. 29–46. DOI:10.2308/jeta-51783. View Complete Reference Online information Works that this work references Works that reference this work
Ozawa, K (2019). Continuous Distributions on (0, ∞) Giving Benford’s Law Exactly. Preprint arXiv:1905.02031 [math.PR]; last accessed June 6, 2019. View Complete Reference Online information Works that this work references Works that reference this work
Pain, J-C and Ralchenko, Y (2024). Benford’s law in atomic spectra and opacity databases. Journal of Quantitative Spectroscopy and Radiative Transfer 322. DOI:10.1016/j.jqsrt.2024.109010. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Patterson, C and Scheepers, M (2024). Benford's Law in the ring ℤ(√ D). Preprint arXiv: 2402.10864[math.NT]; last accessed May 13, 2024. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Perrotta, D, Cerasa, A, Barabesi, L and Menegatti, M (2019). Contamination And Manipulation Of Trade Data: The Two Faces Of Customs Fraud . 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. 394-397. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Polidori, L and El Hage, M (2020). Digital Elevation Model Quality Assessment Methods: A Critical Review. Remote Sensing 12(21). DOI:10.3390/rs12213522. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pollack, P and Roy, AS (2022). Dirichlet, Sierpiński, and Benford. Journal of Number Theory (pre-proof). DOI:10.1016/j.jnt.2021.12.010. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pollack, P and Roy, AS (2022). Benford Behavior and Distribution in Residue Classes of Large Prime Factors. Preprint; last accessed May 30, 2022. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pröger, L, Griesberger, P, Hackländer, K, Brunner, N and Kühleitner, M (2021). Benford’s Law for Telemetry Data of Wildlife. Stats 4(4), pp. 943–949. DOI:10.3390/ stats4040055. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shim, T, Kim, Z and Jung, J (2023). A Benford’s law‑based framework to determine the threshold of occurrence sites for species distribution modelling from ecological monitoring databases. Scientific Reports 13, pp. 16777 . DOI:10.1038/s41598-023-44010-z. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shukla, A, Pandey, AK and Pathak, A (2017). Benford’s distribution in extrasolar world: Do the exoplanets follow Benford’s distribution?. Journal of Astrophysics and Astronomy JOAA-D-16-00138, 38(7). DOI:10.1007/s12036-017-9427-z. View Complete Reference Online information Works that this work references Works that reference this work
Silva, A, Floquet, S and Lima, R (2023). Newcomb-Benford Law in Neuromuscular Transmission: Validation at Hyperkalemic Conditions. Preprint arXiv:2309.06965 [physics.bio-ph]; last accessed September 21, 2023. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Silva, A, Floquet, S and Lima, R (2023). Newcomb–Benford’s Law in Neuromuscular Transmission: Validation in Hyperkalemic Conditions. Stats 6(4), pp. 1053-1071 . DOI:10.3390/stats6040066. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Tunalioglu, N and Erdogan, B (2019). Usability of the Benford’s law for the results of least square estimation. Acta Geodaetica et Geophysica, pp. 1-17. DOI:10.1007/s40328-019-00259-3. View Complete Reference Online information Works that this work references Works that reference this work
Uhlig, N (2016). Rundum das Benfordsche Gesetz. Diploma thesis, University of Leipzig, Fakultät für Mathematik und Informatik. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Volcic, A (2020). Uniform distribution, Benford’s law and scale-invariance. Bollettino dell'Unione Matematica Italiana. DOI:10.1007/s40574-020-00245-6. View Complete Reference Online information Works that this work references Works that reference this work
Wang, L and Ma, B-Q (2023). A concise proof of Benford’s law. Fundamental Research . DOI:10.1016/j.fmre.2023.01.002. View Complete Reference Online information Works that this work references Works that reference this work
Wilson, L (2023). Benford’s Law and its Applications to Accounting. Mathematics Student Projects, Taylor University. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wiryadinata, D, Sugiharto, A and Tarno (2023). The Use of Machine Learning to Detect Financial Transaction Fraud: Multiple Benford Law Model for Auditors. Journal of Information Systems Engineering & Business Intelligence 9(2), pp. 239-252. DOI:10.20473/jisebi.9.2.239-252. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Yildiz, MS (2018). Benford Yasasının Veri Doğruluğunun Değerlendirilmesi Amaçlı Kullanımı: Hastane Verileri İçin Bir Uygulama [Use of Benford's Law to Evaluate Data Accuracy: An Application for Hospital Data]. Yönetim ve Ekonomi 25(3), pp. 849-861. DOI:10.18657/yonveek.336919. TUR View Complete Reference Online information Works that this work references Works that reference this work
Zenkov, AV (2017). A New Statistical Method of Text Attribution. International Journal of Professional Science, 2017, No. 1, pp. 6–21. ISSN/ISBN:2542-1085. View Complete Reference Online information Works that this work references Works that reference this work
Zenkov, AV (2017). A Method of Text Attribution Based on the Statistics of Numerals. Journal of Quantitative Linguistics, pp. 256-270; published online: 20 Sep 2017. ISSN/ISBN:0929-6174 (Print), 1. DOI:10.1080/09296174.2017.1371915. View Complete Reference Online information Works that this work references Works that reference this work
Zenkov, AV, Zenkov, EV and Zenkov, MA (2021). The Novel Method of Text Attribution Based on the Numerals Statistics: A Survey of Results . Development of Science and Society in the Digital Economy, Petrozavodsk ICNP "New Science" (English text pp. 154-200). View Complete Reference Online information Works that this work references No Bibliography works reference this work