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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 October 5, 2021.

This work cites the following items of the Benford Online Bibliography:


Alexopoulos, T and Leontsinis, S (2014). Benford's Law in Astronomy. Journal of Astrophysics and Astronomy, 35(4), pp. 639-648. ISSN/ISBN:0250-6335. DOI:10.1007/s12036-014-9303-z. View Complete Reference Online information Works that this work references Works that reference this work
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
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. View Complete Reference Online information Works that this work references Works that 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
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. 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
Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, Vol. 78, No. 4 (Mar. 31, 1938), pp. 551-572. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A, Bunimovich, LA and Hill, TP (2005). One-dimensional dynamical systems and Benford's law. Transactions of the American Mathematical Society 357(1), pp. 197-219. ISSN/ISBN:0002-9947. DOI:10.1090/S0002-9947-04-03455-5. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, pp. 1-126. DOI:10.1214/11-PS175. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062. 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. DOI:10.1007/s10260-020-00532-8. View Complete Reference Online information Works that this work references Works that reference this work
Buck, B, Merchant, AC and Perez, SM (1993). An illustration of Benford’s first digit law using alpha decay half lives. European Journal of Physics 14, pp. 59-63. View Complete Reference Online information Works that this work references Works that reference this work
Burke, J and Kincanon, E (1991). Benford's Law and Physical Constants - The Distribution of Initial Digits. American Journal of Physics 59 (10), p. 952. ISSN/ISBN:0002-9505. DOI:10.1119/1.16838. View Complete Reference Online information Works that this work references Works that reference this work
Campanario, JM and Coslado, MA (2011). Benford's law and citations, articles and impact factors of scientific journals. Scientometrics 88(2), pp. 421-432. DOI:10.1007/s11192-011-0387-9. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Cho, WKT and Gaines, BJ (2007). Breaking the (Benford) law: Statistical fraud detection in campaign finance. American Statistician 61(3), pp. 218-223. ISSN/ISBN:0003-1305. DOI:10.1198/000313007X223496. 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
Crocetti, E and Randi, G (2016). Using the Benford's Law as a first step to assess the quality of the cancer registry data. Frontiers in Public Health 4:225. DOI:10.3389/fpubh.2016.00225. 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
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. View Complete Reference Online information Works that this work references Works that 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 September 3, 2020. View Complete Reference Online information Works that this work references Works that reference this work
De Marchi, S and Hamilton, JT (2006). Assessing the accuracy of self-reported data: An evaluation of the toxics release inventory. Journal of Risk and Uncertainty 32(1), pp. 57-76. ISSN/ISBN:0895-5646. DOI:10.1007/s10797-006-6666-3. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P (1977). The Distribution of Leading Digits and Uniform Distribution Mod 1. Annals of Probability 5(1), pp. 72-81. ISSN/ISBN:0091-1798. View Complete Reference Online information Works that this work references Works that reference this work
Diekmann, A (2007). Not the First Digit! Using Benford's Law to Detect Fraudulent Scientific Data. Journal of Applied Statistics 34(3), pp. 321-329. ISSN/ISBN:0266-4763. DOI:10.1080/02664760601004940. View Complete Reference Online information Works that this work references Works that reference this work
Dorogovtsev, SN, Mendes, JFF and Oliveira, JG (2006). Frequency of occurrence of numbers in the World Wide Web. Physica A: Statistical Mechanics and its Applications 360(2), pp. 548-556. ISSN/ISBN:0378-4371. DOI:10.1016/j.physa.2005.06.064. View Complete Reference Online information Works that this work references Works that reference this work
Fewster, RM (2009). A Simple Explanation of Benford's Law. American Statistician 63(1), pp. 26-32. DOI:10.1198/tast.2009.0005. View Complete Reference Online information Works that this work references Works that reference this work
Flehinger, BJ (1966). On the Probability that a Random Integer has Initial Digit A. American Mathematical Monthly 73(10), pp. 1056-1061. ISSN/ISBN:0002-9890. DOI:10.2307/2314636. View Complete Reference Online information Works that this work references Works that reference this work
Furry, WH and Hurwitz, H (1945). Distribution of numbers and distribution of significant figures. Nature 155(3924), pp. 52-53. DOI:doi:10.1038/155052a0. View Complete Reference Online information Works that this work references Works that reference this work
Gamermann, D and Antunes, FL (2018). Statistical analysis of Brazilian electoral campaigns via Benford’s law. Physica A: Statistical Mechanics and its Applications 496, pp. 171-188. DOI:10.1016/j.physa.2017.12.120. 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
Golbeck, J (2015). Benford’s Law Applies to Online Social Networks. PLoS ONE 10(8): e0135169. DOI:10.1371/journal.pone.0135169. View Complete Reference Online information Works that this work references Works that reference this work
Goudsmit, SA and Furry, WH (1944). Significant figures of numbers in statistical tables. Nature 154(3921), pp. 800-801. ISSN/ISBN:0028-0836. DOI:10.1038/154800a0. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1995). A Statistical Derivation of the Significant-Digit Law. Statistical Science 10(4), pp. 354-363. ISSN/ISBN:0883-4237. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1995). Base-Invariance Implies Benford's Law. Proceedings of the American Mathematical Society 123(3), pp. 887-895. ISSN/ISBN:0002-9939. DOI:10.2307/2160815. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1998). The First-Digit Phenomenon. American Scientist 86 (4), pp. 358-363. ISSN/ISBN:0003-0996. DOI:10.1511/1998.4.358. 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
Hoyle, DC, Rattray, M, Jupp, R and Brass, A (2002). Making sense of microarray data distributions. Bioinformatics 18(4), pp. 576-584. ISSN/ISBN:1367-4803. DOI:10.1093/bioinformatics/18.4.576. View Complete Reference Online information Works that this work references Works that reference this work
Jolion, JM (2001). Images and Benford's Law. Journal of Mathematical Imaging and Vision 14(1), pp. 73-81. ISSN/ISBN:0924-9907. DOI:10.1023/A:1008363415314. View Complete Reference Online information Works that this work references Works that 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
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. View Complete Reference Online information Works that this work references Works that reference this work
Kossovsky, AE (2019). Studies in Benford’s Law: Arithmetical Tugs of War, Quantitative Partition Models, Prime Numbers, Exponential Growth. Kindle Direct Publishing: Seattle, WA. ISSN/ISBN:13 978-1729283257. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Kreiner, WA (2003). On the Newcomb-Benford Law. Zeitschrift für Naturforschung Section A - A Journal of Physical Sciences 58(11), pp. 618-622. ISSN/ISBN:0932-0784. DOI:10.1515/zna-2003-1105. View Complete Reference Online information Works that this work references Works that reference this work
Lee, J and de Carvalho, M (2019). Technological improvements or climate change? Bayesian modeling of time-varying conformance to Benford’s Law. PLoS ONE 14(4): e0213300. DOI:10.1371/journal.pone.0213300. View Complete Reference Online information Works that this work references Works that reference this work
Lee, K-B, Han, S and Jeong, Y (2020). COVID-19, flattening the curve, and Benford’s law. Physica A: Statistical Mechanics and its Applications 559, 125090. DOI:10.1016/j.physa.2020.125090. View Complete Reference Online information Works that this work references Works that reference this work
Leemis, LM, Schmeiser, BW and Evans, DL (2000). Survival Distributions Satisfying Benford's Law. American Statistician 54(4), pp. 236-241. ISSN/ISBN:0003-1305. DOI:10.2307/2685773. View Complete Reference Online information Works that this work references Works that reference this work
Lemons, DS (1986). On the Numbers of Things and the Distribution of first Digits. American Journal of Physics 54(9), pp. 816-817. ISSN/ISBN:0002-9505. DOI:10.1119/1.14453. 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
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
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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 (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. View Complete Reference Online information Works that this work references Works that reference this work
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. 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
Miranda-Zanetti, M, Delbianco, F and Tohmé, F (2019). Tampering with inflation data: A Benford law-based analysis of national statistics in Argentina. Physica A: Statistical Mechanics and its Applications 525, pp. 761-770. DOI:10.1016/j.physa.2019.04.042. View Complete Reference Online information Works that this work references Works that reference this work
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