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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.

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Alves, AD, Yanasse, HH and Soma, NY (2014). Benford's Law and articles of scientific journals: comparison of JCR® and Scopus data. Scientometrics 98, pp. 173-184. ISSN/ISBN:0138-9130. DOI:10.1007/s11192-013-1030-8. 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, Cerqueti, R and Lupi, C (2017). Long-range properties and data validity for hydrogeological time series: The case of the Paglia river. Physica A: Statistical Mechanics and its Applications 470, pp. 39-50. DOI:10.1016/j.physa.2016.11.137. View Complete Reference Online information Works that this work references Works that reference this work
Aybars, A and Ataunal, L (2016). An application of Benford’s law to fundamental accounting figures reported by Borsa Istanbul (BIST) companies. Journal of Economics, Finance and Accounting 3(3), pp. 234-243. DOI:10.17261/Pressacademia.2016321991. 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
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
Becker, T, Corcoran, TC, Greaves-Tunnell, A, Iafrate, JR, Jing, J, Miller, SJ, Porfilio, JD, Ronan, R, Samranvedhya, J and Strauch, FW (2013). Benford's Law and Continuous Dependent Random Variables. Preprint arXiv:1309.5603 [math.PR]; last accessed October 23, 2018. DOI:10.1016/j.aop.2017.11.013. View Complete Reference Online information Works that this work references Works that reference this work
Beiglou, PHB, Gibbs, C, Rivers, L, Adhikari, U and Mitchell, J (2017). Applicability of Benford’s Law to Compliance Assessment of Self-Reported Wastewater Treatment Plant Discharge Data. Journal of Environmental Assessment Policy and Management 19(04). DOI:10.1142/S146433321750017X. View Complete Reference Online information Works that this work references Works that reference this work
Blondeau Da Silva, S (2019). Benford or Not Benford: A Systematic But Not Always Well-Founded Use of an Elegant Law in Experimental Fields. Communications in Mathematics and Statistics, pp. 1-35. ISSN/ISBN:2194-6701. DOI:10.1007/s40304-018-00172-1. 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 (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
Cabarle, C (2018). Using Benford’s law to predict the risk of financial statement fraud in equity crowd funding offerings. Proceedings of 2018 Engaged management scholarship conference, Philadelphia, PA.. DOI:10.2139/ssrn.3240900. View Complete Reference Online information Works that this work references Works that reference this work
Cabarle, C (2019). Predicting the Risk of Fraud in Equity Crowdfunding Offers and Assessing the Wisdom of the Crowd. PhD Thesis, Temple University, ProQuest Dissertations Publishing, 2019. 13863507. View Complete Reference Online information Works that this work references No Bibliography works 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
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
Cerqueti, R and Provenzano, D (2023). Benford's Law for economic data reliability: The case of tourism flows in Sicily. Chaos, Solitons & Fractals 173, p. 113635. DOI:10.1016/j.chaos.2023.113635. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chenavier, N, Massé, B and Schneider, D (2018). Products of random variables and the first digit phenomenon. Preprint arXiv:1512.06049 [math.PR]; last accessed January 9, 2019. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
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 . View Complete Reference Online information Works that this work references Works that reference this work
Cong, M and Ma, B-Q (2019). A Proof of First Digit Law from Laplace Transform. Chinese Physics Letters, 36, 7, 070201. DOI:10.1088/0256-307X/36/7/070201. View Complete Reference Online information Works that this work references Works that reference this work
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 View Complete Reference Online information Works that this work references Works that reference this work
Costas, E, López-Rodas, V, Toro, FJ and Flores-Moya, A (2008). The number of cells in colonies of the cyanobacterium Microcystis aeruginosa satisfies Benford's law. Aquatic Botany 89(3), pp. 341-343. DOI:10.1016/j.aquabot.2008.03.011. View Complete Reference Online information Works that this work references Works that reference this work
da Silva, AJ, Floquet, S, Santos, DOC and Lima, RF (2020). On the validation of the Newcomb-Benford Law and the Weibull distribution in neuromuscular transmission. Physica A 553, 1 September 2020, 124606. DOI:10.1016/j.physa.2020.124606. View Complete Reference Online information Works that this work references Works that 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 Macedo, IAS and de Figueiredo, JJS (2018). Using Benford’s law on the seismic reflectivity analysis. Interpretation 6(3), pp. T689-T697. DOI:10.1190/int-2017-0201.1. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Docampo, S, del Mar Trigo, M, Aira, M, Cabezudo, B and Flores-Moya, A (2009). Benford’s law applied to aerobiological data and its potential as a quality control tool . Aerobiologia 25, pp. 275-283 . ISSN/ISBN:0393-5965. DOI:10.1007/s10453-009-9132-8. View Complete Reference Online information Works that this work references Works that reference this work
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 View Complete Reference Online information Works that this work references Works that reference this work
Dümbgen, L and Leuenberger, C (2008). Explicit Bounds for the Approximation Error in Benford’s Law. Electronic Communications in Probability 13, pp. 99-112. ISSN/ISBN:1083-589X. DOI:10.1214/ECP.v13-1358. View Complete Reference Online information Works that this work references Works that reference this work
Egghe, L (2013). The functional relation between the impact factor and the uncitedness factor revisited. Journal of Informetrics 7(1), pp. 183–189. DOI:10.1016/j.joi.2012.10.007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Egghe, L and Guns, R (2012). Applications of the generalized law of Benford to informetric data. Journal of the American Society for Information Science and Technology 63(8), pp. 1662-1665. ISSN/ISBN:1532-2882. DOI:10.1002/asi.22690. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that 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
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 View Complete Reference Online information Works that this work references Works that reference this work
Geyer, A and Martì, J (2012). Applying Benford’s law to volcanology. Geology 40(4), pp. 327-330. DOI:10.1130/G32787.1 . View Complete Reference Online information Works that this work references Works that reference this work
Giles, DE (2013). Exact Asymptotic Goodness-of-Fit Testing for Discrete Circular Data, With Applications. Chilean Journal of Statistics 4(1), pp.19-34. ISSN/ISBN:0718-7912. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Grendar, M, Judge, G and Schechter, L (2007). An empirical non-parametric likelihood family of data-based Benford-like distributions. Physica A: Statistical Mechanics and its Applications 380, pp. 429-438. ISSN/ISBN:0378-4371. DOI:10.1016/j.physa.2007.02.062. 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
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hürlimann, W (2009). Generalizing Benford’s law using power laws: application to integer sequences. International Journal of Mathematics and Mathematical Sciences, Article ID 970284. DOI:10.1155/2009/970284. 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). Benford's Law in Scientific Research. International Journal of Scientific & Engineering Research, Volume 6, Issue 7, pp. 143-148. ISSN/ISBN:2229-5518. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Ileanu, B-V, Ausloos, M, Herteliu, C and Cristescu, MP (2019). Intriguing behavior when testing the impact of quotation marks usage in Google search results. Quality & Quantity 53(5), pp. 2507-2519. DOI:10.1007/s11135-018-0771-0. View Complete Reference Online information Works that this work references Works that reference this work
Jang, D, Kang, JU, Kruckman, A, Kudo, J and Miller, SJ (2009). Chains of distributions, hierarchical Bayesian models and Benford's Law. Journal of Algebra, Number Theory: Advances and Applications 1(1), pp. 37-60. View Complete Reference Online information Works that this work references Works that reference this work
Jing, J (2013). Benford’s Law and Stick Decomposition. Undergraduate thesis, Williams College, Williamstown, Massachusetts . View Complete Reference Online information Works that this work references Works that reference this work
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. 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
Kaiser, M (2019). Benford’s Law As An Indicator Of Survey Reliability—Can We Trust Our Data?. Journal of Economic Surveys Vol. 00, No. 0, pp. 1–17. DOI:10.1111/joes.12338. View Complete Reference Online information Works that this work references Works that reference this work
Kak, S (2018). Variations on the Newcomb-Benford Law. Preprint arXiv:1806.06695 [physics.soc-ph]; last accessed January 31, 2022. View Complete Reference Online information Works that this work references Works that reference this work
Kak, S (2022). The Iterated Newcomb-Benford Distribution for Structured Systems. International Journal of Applied and Computational Mathematics 8, p. 51. DOI:10.1007/s40819-022-01251-2. View Complete Reference Online information Works that this work references Works that reference this work
Koppisch, D, Van Gelder, R, Gabriel, S and Stamm, R (2014). Benford's law and the quality of occupational hygiene data. Ann Occup Hyg. 58(3), pp. 397-400. DOI:10.1093/annhyg/meu003. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kouamé, IK, Douagui, AG, Bouatrin, DK, Kouadio, SKA and Savané, I (2021). Assessing the hydrodynamic properties of the fissured layer of granitoid aquifers in the Tchologo Region (Northern Côte d'Ivoire). Heliyon 7(7), pp. e07620 . DOI:10.1016/j.heliyon.2021.e07620. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Leoni, RC, dos Santos, GS, Mendonça, MM, Sampaio, NAS and Silva, JWdeJ (2020). Aplicação da lei de Newcomb-Benford no auxílio à detecção de fraudes [Application of Newcomb-Benford law to aid fraud detection]. Research, Society and Development, [S. l.] 9(8), p. e314985276 . DOI:10.33448/rsd-v9i8.5276. POR View Complete Reference Online information Works that this work references Works that reference this work
Li, Q and Fu, Z (2016). Quantifying non-stationarity effects on organization of atmospheric turbulent eddy motion by Benford’s law. Commun Nonlinear Sci Numer Simulat 33, pp. 91–98. DOI:10.1016/j.cnsns.2015.09.006. View Complete Reference Online information Works that this work references Works that reference this work
Li, Q, Fu, Z and Yuan, N (2015). Beyond Benford's Law: Distinguishing Noise from Chaos. PLoS ONE, 10, e0129161. DOI:10.1371/journal.pone.0129161. View Complete Reference Online information Works that this work references Works that reference this work
Lin, F, Lin, L-J, Yeh, C-C and Wang-T-S (2018). Does the board of directors as Fat Cats exert more earnings management? Evidence from Benford's law. The Quarterly Review of Economics and Finance 68, pp. 158-170. DOI:10.1016/j.qref.2017.09.005. View Complete Reference Online information Works that this work references Works that reference this work
Luque, B and Lacasa, L (2009). The first-digit frequencies of prime numbers and Riemann zeta zeros. Proc. Royal Soc. A, published online 22Apr09. DOI:10.1098/rspa.2009.0126. View Complete Reference Online information Works that this work references Works that reference this work
Mangoua, MJ, Kouassi, KA, Douagui, GA, Savané, I and Biémi, J (2019). Application of Benford's Law to Hydrogeological Parameters: Case of the Baya Watershed (Eastern Côte d'Ivoire). Asian Journal of Geological Research 2(3), pp. 1-7. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Merberg, A and Miller, SJ (2008). The Cramér-Rao Inequality. Course Notes for Math 162: Mathematical Statistics. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Miller, SJ (2007). When the Cramér-Rao Inequality provides no information. Communications in Information and Systems 7(3), pp. 265-272. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ (2008). Benford’s Law and Fraud Detection, or: Why the IRS Should Care About Number Theory!. Presentation for Bronfman Science Lunch Williams College, October 21. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ (2016). Can math detect fraud? CSI: Math: The natural behavior of numbers. Presentation at Science Cafe, Northampton, September 26; last accessed July 4, 2019. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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Miller, SJ and Nigrini, MJ (2008). The Modulo 1 Central Limit Theorem and Benford's Law for Products. International Journal of Algebra 2(3), pp. 119 - 130. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Nigrini, MJ (2008). Order Statistics and Benford's Law. International Journal of Mathematics and Mathematical Sciences, Art. ID 382948. ISSN/ISBN:0161-1712. DOI:10.1155/2008/382948. View Complete Reference Online information Works that this work references Works that reference this work
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Nigrini, MJ (2012). Benford's Law: Applications for Forensic Accounting, Auditing, and Fraud Detection . John Wiley & Sons: Hoboken, New Jersey. ISSN/ISBN:978-1-118-15285-0. DOI:10.1002/9781119203094. View Complete Reference Online information Works that this work references Works that reference this work
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Özkan, K (2021). Benford Kanunu ve Genelleştirilmiş Benford Kanunu ile ekosistem doğallığının hesaplanması [Estimating ecosystem naturalness using Benford’s Law and Generalized Benford’s Law]. Turkish Journal of Forestry 22(2), pp. 73-82 . DOI:10.18182/tjf.907217. TUR View Complete Reference Online information Works that this work references Works that reference this work
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