This work is cited by the following items of the Benford Online Bibliography:
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. | ||||
Arezzo, MF and Cerqueti, R (2023). A Benford’s Law view of inspections’ reasonability. Physica A: Statistical Mechanics and its Applications 632, Part 1, pp. 129294. DOI:10.1016/j.physa.2023.129294. | ||||
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. | ||||
Ausloos, M, Cerqueti, R and Mir, TA (2017). Data science for assessing possible tax income manipulation: The case of Italy. Chaos, Solitons and Fractals 104, pp. 238–256. DOI:10.1016/j.chaos.2017.08.012. | ||||
Ausloos, M, Herteliu, C and Ileanu, B-V (2015). Breakdown of Benford’s law for birth data. Physica A: Statistical Mechanics and its Applications Volume 419, pp. 736–745. ISSN/ISBN:0378-4371. DOI:10.1016/j.physa.2014.10.041. | ||||
Azevedo, CdS, Gonçalves, RF, Gava, VL and Spinola, MdM (2021). A Benford’s Law based methodology for fraud detection in social welfare programs: Bolsa Familia analysis. Physica A 567, p. 125626. DOI:10.1016/j.physa.2020.125626. | ||||
Baumeister, J and Macedo, TG (2011). Von den Zufallszahlen und ihrem Gebrauch. Stand: 21, November 2011. GER | ||||
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. | ||||
Benedito-Nunes, AM, Gamper, J, Chapman, SC, Friel, M and Gjerloev, JW (2023). Newcomb-Benford Law characterization of solar wind magnetic field and geomagnetic indices. Posted on Authorea; last accessed April 29, 2023. DOI:10.22541/essoar.168121593.35845953/v1. | ||||
Benedito-Nunes, AM, Gamper, J, Chapman, SC, Friel, M and Gjerloev, JW (2023). Newcomb-Benford Law as a generic flag for changes in the derivation of long-term solar terrestrial physics timeseries. RAS Techniques and Instruments, pp. rzad041. DOI:10.1093/rasti/rzad041. | ||||
Bera, A, Mishra, U, Roy, SS, Biswas, A, Sen, A and Sen, U (2018). Benford analysis of quantum critical phenomena: First digit provides high finite-size scaling exponent while first two and further are not much better. Physics Letters A 382(25), pp. 1639–1644 . DOI:10.1016/j.physleta.2018.04.020. | ||||
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. | ||||
Berger, A and Eshun, G (2014). Benford solutions of linear difference equations. Theory and Applications of Difference Equations and Discrete Dynamical Systems, Springer Proceedings in Mathematics & Statistics Volume 102, pp. 23-60. ISSN/ISBN:978-3-662-44139-8. DOI:10.1007/978-3-662-44140-4_2. | ||||
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. | ||||
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062. | ||||
Bhole, G, Shukla, A and Mahesh, TS (2014). Benford distributions in NMR. Preprint arXiv:1406.7077 [physics.data-an]; last accessed June 7, 2018. | ||||
Bhole, G, Shukla, A and Mahesh, TS (2015). Benford analysis: A useful paradigm for spectroscopic analysis. Chemical Physics Letters 639, pp. 36–40. DOI:10.1016/j.cplett.2015.08.061. | ||||
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. | ||||
Bormashenko, E, Shulzinger, E, Whyman, G and Bormashenko, Y (2016). Benford’s law, its applicability and breakdown in the IR spectra of polymers. Physica A 444, pp. 524–529. DOI:10.1016/j.physa.2015.10.090. | ||||
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. | ||||
Campanelli, L (2022). On the Euclidean distance statistic of Benford’s law. Communications in Statistics - Theory and Methods, pp. 1-24. DOI:10.1080/03610926.2022.2082480}. | ||||
Campanelli, L (2022). Testing Benford's Law: from small to very large data sets. Spanish Journal of Statistics 4(1), pp. 41-54. DOI:10.37830/SJS.2022.1.03. | ||||
Campanelli, L (2022). Breaking Benford’s law: A statistical analysis of Covid-19 data using the Euclidean distance statistic. Preprint submitted to Statistics in Transition. | ||||
Campanelli, L (2022). Monkeypox Obeys the (Benford's) Law: A Dynamic Analysis of Daily Case Counts in the United States of America. Preprint submitted to Statistics in Tran- sition new series.. | ||||
Campanelli, L (2022). Tuning up the Kolmogorov-Smirnov test for testing Benford’s law. Preprint on ResearchGate. | ||||
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. | ||||
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. | ||||
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. | ||||
Cerri, J (2018). A fish rots from the head down: how to use the leading digits of ecological data to detect their falsification. Preprint, bioRxiv p. 368951. DOI:10.1101/368951. | ||||
Chanda, T, Das, T, Sadhukhan, D, Pal, AK, Sen(De), A and Sen, U (2015). Statistics of leading digits leads to unification of quantum correlations. Europhysics Letters 114(3). DOI:10.1209/0295-5075/114/30004. | ||||
Chen, T and Tsourakakis, CE (2022). AntiBenford Subgraphs: Unsupervised Anomaly Detection in Financial Networks. Preprint arXiv:2205.13426 [cs.; last accessed June 9, 2022. | ||||
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. | ||||
Clippe, P and Ausloos, M (2012). Benford's law and Theil transform of financial data. Physica A: Statistical Mechanics and its Applications 391(24), pp. 6556–6567. | ||||
Courtland, R (2010). Curious mathematical law is rife in nature. Issue 2782, New Scientist, 14 October. | ||||
Dahlstrom, KL and Clegg, CP (2015). The DNA of Scripture. Westbow Press: Bloomington, IN. ISSN/ISBN:978-1-4908-7600-9. | ||||
Dantuluri, A and Desai, S (2018). Do tau lepton branching fractions obey Benford's law?. Physica A: Statistical Mechanics and its Applications 506, pp. 919-928. DOI:10.1016/j.physa.2018.05.013. | ||||
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. | ||||
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. | ||||
de Macedo, IAX (2019). On the well-to-seismic-tie analysis: effects of the borehole geometry and assumptions on wavelet estimation . Ph.d Thesis, Federal University of Pará Institute of Geosciences Geophysics Graduate Program. | ||||
DeHaan, M (2011). The surprising “Benford’s law” of leading digits. Posted on Decoding Science website; last updated November 12, 2019; last accessed December 9, 2019. | ||||
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. | ||||
Eckhartt, GM and Ruxton, GD (2023). Investigating and preventing scientific misconduct using Benford’s Law. Research Integrity and Peer Review 8(1). DOI:10.1186/s41073-022-00126-w. | ||||
Egbunike, FC and Amakor, CI (2013). Fraud & auditors analytical procedure: A test of Benford’s law. EBS Journal of Management Sciences 1(1), pp. 14-31. | ||||
Eliazar, II (2013). Benford's Law: A Poisson Perspective. Physica A 392(16) pp. 3360–3373. DOI:10.1016/j.physa.2013.03.057. | ||||
Fallico, D (2023). Searching Applications of Benford’s Law to Investigate Beam Jitter. Presentation for Teacher Research Associate (TRAC) Program at Fermilab. | ||||
Filho, TMR, Mendes, JFF, Lucio, ML and Moret, MA (2022). Reliability of COVID-19 data and government policies. Preprint arXiv:2208.11226 [physics.soc-ph]; last accessed August 31, 2022. | ||||
Filho, TMR, Mendes, JFF, Lucio, ML and Moret, MA (2023). COVID-19 data, mitigation policies and Newcomb–Benford law. Chaos, Solitons and Fractals 174 p. 113814. DOI:10.1016/j.chaos.2023.113814. | ||||
Friar, JL, Goldman, T and Pérez-Mercader, J (2016). Ubiquity of Benford’s law and emergence of the reciprocal distribution. Physics Letters A 380(22), pp. 1895–1899. ISSN/ISBN:0375-9601. DOI:10.1016/j.physleta.2016.03.045. | ||||
García-Sosa, AT (2019). Benford's law in medicinal chemistry: Implications for drug design. Future Medicinal Chemistry 11(17), pp. 2247-2253. DOI:10.4155/fmc-2019-0006. | ||||
Geyer, A and Martì, J (2012). Applying Benford’s law to volcanology. Geology 40(4), pp. 327-330. DOI:10.1130/G32787.1 . | ||||
Goh, C (2020). Applying visual analytics to fraud detection using Benford's law. Journal of Corporate Accounting & Finance, pp. 1-7. DOI:10.1002/jcaf.22440. | ||||
Gonsalves, RA (2020). Benford’s Law — A Simple Explanation. Posted on towardsdatascience.com blog October 1; last accessed October 10, 2020. | ||||
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. | ||||
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. | ||||
Hürlimann, W (2015). On the uniform random upper bound family of first significant digit distributions. Journal of Informetrics, Volume 9, Issue 2, pp. 349–358. DOI:10.1016/j.joi.2015.02.007. | ||||
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. | ||||
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. | ||||
Iorliam, A (2019). Combination of Natural Laws (Benford’s Law and Zipf’s Law) for Fake News Detection. In: Cybersecurity in Nigeria. SpringerBriefs in Cybersecurity. Springer, Cham. DOI:10.1007/978-3-030-15210-9_3. | ||||
Iorliam, A (2019). Natural Laws (Benford’s Law and Zipf’s Law) for Network Traffic Analysis. In: Cybersecurity in Nigeria. SpringerBriefs in Cybersecurity. Springer, Cham, pp. 3-22. ISSN/ISBN:978-3-030-15210-9. DOI:10.1007/978-3-030-15210-9_2. | ||||
Irwin, J (2015). The Effective Use of Benford’s Law to Assist in Detecting Fraud in U.S. Environmental Protection Agency (EPA) Toxics Release Inventory (TRI) Data. Faculty Forum, Issue No. 21, Spring 2015, The University of South Carolina Salkehatchie Campus. | ||||
Jalan, A, Matkovskyy, R and Yarovaya, L (2021). “Shiny” crypto assets: A systemic look at gold-backed cryptocurrencies during the COVID-19 pandemic. International Review of Financial Analysis 78, p. 101958 . DOI:10.1016/j.irfa.2021.101958. | ||||
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. | ||||
Kak, S (2018). Variations on the Newcomb-Benford Law. Preprint arXiv:1806.06695 [physics.soc-ph]; last accessed January 31, 2022. | ||||
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. | ||||
Kauko, K (2024). How to detect what drives deviations from Benford’s law? An application to bank deposit data. Empir. Econ (2024). | ||||
Kopczewski, T and Okhrimenko, I (2019). Playing with Benford’s Law. e-mentor 80(3), pp. 34−44 . | ||||
Kossovsky, AE (2012). Statistician's New Role as a Detective - Testing Data for Fraud. Ciencias Económicas 30(2), pp. 179-200 . ISSN/ISBN:0252-9521. | ||||
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. | ||||
Kossovsky, AE (2014). Arithmetical Tugs of War and Benford's Law. Preprint arXiv:1410.2174 [math.ST]; last accessed October 19, 2020. | ||||
Kossovsky, AE (2015). Random Consolidations and Fragmentations Cycles Lead to Benford' Law. Preprint arXiv:1505.05235 [math.ST]; last accessed October 19, 2020. | ||||
Kossovsky, AE (2016). Exponential Growth Series and Benford's Law. Preprint arXiv:1606.04425 [math.ST]; last accessed October 19, 2020. | ||||
Kreuzer, M, Jordan, D, Antkowiak, B, Drexler, B, Kochs, EF and Schneider, G (2014). Brain electrical activity obeys Benford's law. Anesth. Analg. 118(1), pp. 183-91. DOI:10.1213/ANE.0000000000000015. | ||||
Lemons, DS, Lemons, N and Peter, W (2021). First Digit Oscillations. Stats 4(3), pp. 595-601. DOI:10.3390/stats4030035. | ||||
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 | ||||
Leung, CH, Luo, YB, Lok, TC and Luo, ZC (2021). Analysis and Prediction of COVID-19 Data Quality Based on Benford's Law-- Take Data from 51 Countries and Regions as an Example. Science Innovation 9(2), pp. 53-62. DOI:10.11648/j.si.20210902.14. CHI | ||||
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. | ||||
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. | ||||
Madahali, L and Hall, M (2020). Application of the Benford’s law to Social bots and Information Operations activities. International Conference on Cyber Situational Awareness, Data Analytics and Assessment (CyberSA), Dublin, Ireland, pp. 1-8. DOI:10.1109/CyberSA49311.2020.9139709. | ||||
Mamidipaka, P and Desai, S (2022). Do Pulsar and Fast Radio Burst dispersion measures obey Benford's law?. Preprint arXiv:2207.09696 [astro-ph.HE]; last accessedAugust 8, 2022. DOI:10.48550/arXiv.2207.09696 . | ||||
Mamidipaka, P and Desai, S (2023). Do pulsar and Fast Radio Burst dispersion measures obey Benford's law?. Astroparticle Physics 144, p. 102761 . DOI:10.1016/j.astropartphys.2022.102761. | ||||
Mangalagiri, J, Jyothi, CSP and Ramya, P (2018). Benford’s Law and Stock Market - The Implications for Investors: The Evidence from India Nifty Fifty. Jindal Journal of Business Research 7(2), pp. 103–121 . DOI:10.1177/2278682118777029. | ||||
Mansouri, E, Mostajabi, A, Schulz, W, Diendorfer, G, Rubinstein, M and Rachidi , F (2022). On the Use of Benford’s Law to Assess the Quality of the Data Provided by Lightning Locating Systems. Atmosphere 13(4), pp. 552. ISSN/ISBN:2073-4433. DOI:10.3390/atmos13040552. | ||||
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. | ||||
Mir, TA (2011). Law of the leading digits and the ideological struggle for numbers. physics arXiv:1104.3948. DOI:10.1016/j.physa.2011.09.001. | ||||
Mir, TA (2012). The law of the leading digits and the world religions. Physica A: Statistical Mechanics and its Applications, 391 (2012), pp. 792-798. DOI:10.1016/j.physa.2011.09.001. | ||||
Mir, TA (2014). The Benford law behavior of the religious activity data. Physica A 408, pp. 1-9. DOI:10.1016/j.physa.2014.03.074. | ||||
Mir, TA (2016). Citations to articles citing Benford's law: a Benford analysis. arXiv:1602.01205; posted Feb 3, 2016. | ||||
Mir, TA (2016). The leading digit distribution of the worldwide illicit financial flows. Quality & Quantity vol. 50, p. 271-281. DOI:10.1007/s11135-014-0147-z. | ||||
Mir, TA, Ausloos, M and Cerqueti, R (2014). Benford’s law predicted digit distribution of aggregated income taxes: the surprising conformity of Italian cities and regions. Eur. Phys. J. B (2014) 87: 261. ISSN/ISBN:1434-6028. DOI:10.1140/epjb/e2014-50525-2. | ||||
Mir, TA, Darzi, MA, Ishtiaq, PM and Mufti, S (2023). Benford’s law: an application to sunspot data. Preprint posted on Research Square. DOI:10.21203/rs.3.rs-3372099/v1. | ||||
Miraglia, JE and Gravielle, MS (2021). The atomic ionization, capture, and stopping cross sections by multicharged ions satisfy the Benford law. Preprint arXiv:2106.06099 [physics.atom-ph]; last accessed June 18, 2021. | ||||
Morillas-Jurado, FG, Caballer-Tarazona, M and Caballer-Tarazona, V (2022). Applying Benford’s Law to Monitor Death Registration Data: A Management Tool for the COVID-19 Pandemic. Mathematics 10(1), 46. DOI:10.3390/math10010046. | ||||
Noleto-Filho, EM, Carvalho, AR, Thomè-Souza, MJF and Angelini, R (2022). Reporting the accuracy of small–scale fishing data by simply applying Benford’s law. Frontiers in Marine Science 9, pp. 947503. DOI:10.3389/fmars.2022.947503. | ||||
Özkundakci, D and Pingram, MA (2019). Nature favours “one” as the leading digit in phytoplankton abundance data. Limnologica 78, p. 125707 . DOI:10.1016/j.limno.2019.125707. | ||||
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. | ||||
Rane, AD, Mishra, U, Biswas, A, De, AS and Sen, U (2014). Benford's law gives better scale exponents in phase transitions of quantum XY models. Phys. Rev. E 90(2), p. 022144 (previously available from http://arxiv.org/abs/1405.2744). DOI:10.1103/PhysRevE.90.022144. | ||||
Reuters Staff (2020). Fact check: Deviation from Benford’s Law does not prove election fraud. Posted on Reuters.com, November 10; last accessed December 1, 2020. NOTE: Some information in this posting has been disputed. Please see https://arxiv.org/abs/2011.13015 for details. | ||||
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. | ||||
Rubin, AE (2021). Benford’s law: Applications to ordinary-chondrite mass distributions. Meteoritics & Planetary Science, pp. 1-14. DOI:10.1111/maps.13626. | ||||
Sahu, SK, Java, A and Shaikh, A (2021). On The Connection of Benford’s Law and Neural Networks. Preprint arXiv:2102.03313 [cs.LG]; last accessed February 21, 2021. | ||||
Sahu, SK, Java, A and Shaikh, A (2021). Rethinking Neural Networks with Benford’s Law. Proceedings of Fourth Workshop on Machine Learning and the Physical Sciences (NeurIPS 2021). | ||||
Sambridge, M and Jackson, A (2020). National COVID numbers — Benford’s law looks for errors. Nature 581(7809), p. 384. DOI:10.1038/d41586-020-01565-5. | ||||
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. | ||||
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. | ||||
Sen, A and Sen, U (2011). Benford's law detects quantum phase transitions similarly as earthquakes. EPL (Europhysics Letters) 95(5), 50008, 1-6. DOI:10.1209/0295-5075/95/50008. | ||||
Sethi, K, Kumar, R, Prajapati, N and Bera, P (2020). A Lightweight Intrusion Detection System using Benford's Law and Network Flow Size Difference. Proceedings of 2020 International Conference on COMmunication Systems NETworkS (COMSNETS). DOI:10.1109/COMSNETS48256.2020.9027422. | ||||
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. | ||||
Shulzinger, E and Bormashenko, E (2017). On the Universal Quantitative Pattern of the Distribution of Initial Characters in General Dictionaries: The Exponential Distribution Is Valid for Various Languages. Journal of Quantitative Linguistics 24(4), pp. 273-288. DOI:10.1080/09296174.2017.1304620. | ||||
Shulzinger, E, Legchenkova, I and Bormashenko, E (2018). Co-occurrence of the Benford-like and Zipf Laws Arising from the Texts Representing Human and Artificial Languages. Preprint arXiv:1803.03667 [cs.CL]; last accessed April 6, 2019. | ||||
Sottili, G, Palladino, DM, Giaccio, B and Messina, P (2012). Benford's Law in Time Series Analysis of Seismic Clusters. Mathematical Geosciences Volume 44, Number 5 (2012), pp. 619-634. DOI:10.1007/s11004-012-9398-1. | ||||
Spichal, L (2021). Benfordův zákon. Unpublished manuscript. CZE | ||||
Sun, L, Ho, A, Xia, Z, Chen, J and Zhang, M (2019). Development of an Early Warning System for Network Intrusion Detection Using Benford’s Law Features. In: Meng W., Furnell S. (eds) Security and Privacy in Social Networks and Big Data. SocialSec 2019. Communications in Computer and Information Science, vol 1095. Springer, Singapore. DOI:10.1007/978-981-15-0758-8_5. | ||||
Sun, L, Ho, ATS, Xia, Z, Chen, J, Huang, X and Zhang, Y (2017). Detection and Classification of Malicious Patterns In Network Traffic Using Benford’s Law. 2017 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), Kuala Lumpur, pp. 864-872. DOI:10.1109/APSIPA.2017.8282154. | ||||
Sun, W and Tkalčić, H (2022). Repetitive marsquakes in Martian upper mantle. Nature Communications 13, 1695. DOI:10.1038/s41467-022-29329-x. | ||||
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. | ||||
Tošić, A and Vičič, J (2021). Use of Benford's law on academic publishing networks. Journal of Informetrics 15(3), 101163. DOI:10.1016/j.joi.2021.101163. | ||||
Vanouplines, P (2019). An extended Benford analysis of exoplanet orbital periods. Eprint published on author website. | ||||
Verkade, T (2015). Wat het cijfer 1 allemaal over ons prijsgeeft. Posted on De Correspondent June 16, 2015; last accessed March 24, 2016. DUT | ||||
Wang, H, Liu, T, Zhang, Y, Wu, Y, Sun, Y, Dong, J and Huang, W (2023). Last Digit Tendency: Lucky Numbers and Psychological Rounding in Mobile Transactions. Fundamental Research. DOI:10.1016/j.fmre.2023.11.011. | ||||
Wei, A and Vellwock, AE (2020). Is COVID-19 data reliable? A statistical analysis with Benford's Law. Preprint, posted September. DOI:10.13140/RG.2.2.31321.75365/1. | ||||
Whyman, G (2021). Origin, Alternative Expressions of Newcomb-Benford Law and Deviations of Digit Frequencies. Applied Mathematics 12, pp. 578-586. ISSN/ISBN:2152-7385. DOI:10.4236/am.2021.127041. | ||||
Whyman, G, Ohtori, N, Shulzinger, E and Bormashenko, E (2016). Revisiting the Benford law: When the Benford-like distribution of leading digits in sets of numerical data is expectable?. Physica A: Statistical Mechanics and its Applications Volume 461, pp. 595-601. DOI:10.1016/j.physa.2016.06.054. | ||||
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. | ||||
Wojcik, MR (2013). Notes on scale-invariance and base-invariance for Benford's Law. arXiv:1307.3620 [math.PR]. | ||||
Wojcik, MR (2014). A characterization of Benford’s law through generalized scale-invariance. Mathematical Social Sciences, Volume 71, September 2014, pp. 1–5. DOI:10.1016/j.mathsocsci.2014.03.006. | ||||
Yang, C-J, Turowski, JM, Zhou, Q, Nativ, R, Tang, H and Chen, W-S (2023). Measuring bedload motion time at sub-second resolution using Benford’s law on acoustic data. Preprint on ESS Open Archive. | ||||
Yang, D (2016). Characterization of noise in airborne transient electromagnetic data using Benford's law. SEG Technical Program Expanded Abstracts 2016, pp. 1043-1047. ISSN/ISBN:1949-4645. DOI:10.1190/segam2016-13972000.1. | ||||
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. | ||||
Zhang, F and Wang, Z (2023). Exploring the Law of Numbers: Evidence from China's Real Estate. Preprint arXiv:2309.05221 [cs.CL]; last accessed September 21, 2023. | ||||
Zhou, Q, Tang, H, Turowski, JM, Braun, J, Dietze, M, Walter, F, Yang, C-J and Lagarde, S (2023). Benford’s law as mass movement detector in seismic signals. Preprint - manuscript submitted to Geophysical Research Letters. | ||||
Zhou, Q, Tang, H, Turowski, JM, Braun, J, Yang, C-J, Dietze, M, Lagarde, S, Abdelwahab, A and Walter, F (2023). Detection of debris-flow events from seismic signals using Benford's law. E3S Web of Conf. 415, Proceedings of 8th International Conference on Debris Flow Hazard Mitigation (DFHM8) . DOI:10.1051/e3sconf/202341503033. |