Cross Reference Up

Pinkham, RS (1961). On the Distribution of First Significant Digits. Annals of Mathematical Statistics 32(4), 1223-1230.

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.


Adhikari, AK (1969). Some Results on Distribution of Most Significant Digit. Sankhya-The Indian Journal of Statistics Series B, 31 (Dec), 413-420. ISSN:0581-5738. View Complete Reference Online information Works that this work references Works that reference this work
Adhikari, AK and Sarkar, BP (1968). Distribution of most significant digit in certain functions whose arguments are random variables. Sankhya-The Indian Journal of Statistics Series B, no. 30, 47-58. ISSN:0581-5738. 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:1084-8045. DOI:http://dx.doi.org/10.1016/j.jnca.2013.09.007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Barlow, JL and Bareiss, EH (1985). On Roundoff Error Distributions in Floating Point and Logarithmic Arithmetic. Computing 34(4), 325-347. ISSN:0010-485X. View Complete Reference Online information Works that this work references Works that reference this work
Becker, T, Greaves-Tunnell, A, Miller, SJ, Ronan, R and Strauch, FW (2011). Benford's Law and Continuous Dependent Random Variables. Preprint, Math arXiv:1111.0568. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Berger, A and Hill, TP (2010). Fundamental Flaws in Feller’s Classical Derivation of Benford’s Law. University of Alberta preprint. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2011). Benford's Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem. The Mathematical Intelligencer 33(1), 85-91. DOI:10.1007/ s00283-010-9182-3. 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, 1-126 (2011) . View Complete Reference Online information Works that this work references Works that reference this work
Brähler, G, Bensmann, M and Emke, AL (2010). Der Einsatz mathematisch-statistischer Methoden in der digitalen Betriebsprüfung. Illmenauer Schriften zur Betriebswirtschaftslehre 4/2010. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Brähler, G, Bensmann, M and Jakobi, HR (2011). Das Benfordsche Gesetz und seine Anwendbarkeit bei der digitalen Prüfung von Fahrtenbüchern. Ilmenauer Schriften zur Betriebswirtschaftslehre 3/2011. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Brooks, D (2001). War, Politics & Customer Loyalty: Forecasting Using Benford’s Law. Frequencies, The Journal of Size Law Applications, 1(1), Aug. 2001, pp. 1-15. View Complete Reference Online information Works that this work references Works that reference this work
Brooks, D (2002). Naked-Eye Quantum Mechanics: Practical Applications of Benford's Law for Integer Quantities. Frequencies - The Journal of Size Law Applications, Special Paper #1, 1-8. View Complete Reference Online information Works that this work references Works that reference this work
Bumby, R and Ellentuck, E (1969). Finitely additive measures and the first digit problem. Fundamenta Mathematicae 65, 33-42. ISSN:0016-2736. View Complete Reference Online information Works that this work references Works that reference this work
Ciofalo, M (2009). Entropy, Benford’s first digit law, and the distribution of everything. Dipartimento di Ingegneria Nucleare, Università degli Studi di Palermo, Italy. View Complete Reference Online information Works that this work references Works that reference this work
Clenshaw, CV, Olver, FWJ and Turner, PR (1989). Level-Index Arithmetic - An Introductory Survey. Lecture Notes in Mathematics 1397, pp 95-168. ISSN:0075-8434. View Complete Reference Online information Works that this work references Works that reference this work
Cohen, DIA (1976). An Explanation of the First Digit Phenomenon. Journal of Combinatorial Theory Series A 20(3), 367-370. ISSN:0097-3165. View Complete Reference No online information available Works that this work references Works that reference this work
Davis, BS and Davis, TA (1989). Fibonacci numbers and the golden mean in nature. The Mathematical Scientist 14, 89-100. View Complete Reference No online information available Works that this work references Works that reference this work
De Ceuster, MJK, Dhaene, G and Schatteman, T (1998). On the hypothesis of psychological barriers in stock markets and Benford’s law. Journal of Empirical Finance 5(3), 263-279. 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), 57-76. ISSN:0895-5646. View Complete Reference Online information Works that this work references Works that reference this work
Dickinson, JR (2002). A universal mathematical law criterion for algorithmic validity. Developments in Business Simulation and Experiential Learning 29, 26-33. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Diniz, JA, dos Santos, J, Dieng, M and Diniz, MAA (2006). Comprovação de Eficácia da Aplicação de Modelos Contabilométricos no Campo daAuditoria Digital das Contas Públicas Municipais: caso de um Tribunal de Contas de um estado brasileiro. View Complete Reference Online information Works that this work references No Bibliography works 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, 275-283 . ISSN:0393-5965. View Complete Reference Online information Works that this work references Works that reference this work
Dos Santos, J, Diniz, JA and Corrar, LJ (2005). O Foco é a Teoria Amostral nos Campos da Auditoria Contábil Tradicional e da Auditoria Digital: testando a Lei de Newcomb-Benford para o primeiro digito nas contas publicas. Brazilian Business Review 2 (1), 71-89. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Drake, PD and Nigrini, MJ (2000). Computer assisted analytical procedures using Benford’s law. Journal of Accounting Education 18, 127-146. View Complete Reference Online information Works that this work references Works that reference this work
Drmota, M and Tichy, RF (1997). Sequences, Discrepancies and Applications. Lecture Notes in Mathematics 1651. 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, 99-112. ISSN:1083-589X. View Complete Reference Online information Works that this work references Works that reference this work
Eliazar, II (2013). Benford's Law: A Poisson Perspective. Physica A 392(16) pp. 3360–3373. DOI:10.1016/j.physa.2013.03.057. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Farnsworth, DF, Horan, KK and Galgon, RM (2007). A guide to Benford's law. Mathematics and Computer Education 41, 230-243. ISSN:ISSN: 0730-8639. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Filipponi, P and Menicocci, R (1995). Some Probabilistic Aspects of the Terminal Digits of Fibonacci Numbers. Fibonacci Quarterly 33(4), 325-331. ISSN:0015-0517. View Complete Reference No online information available 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), 1056-1061. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Formann, AK (2010). The Newcomb-Benford Law in Its Relation to Some Common Distributions. PLoS ONE 5(5): e10541. doi:10.1371/journal.pone.0010541. View Complete Reference Online information Works that this work references Works that reference this work
Freidank, C-C and Kusch, A (2008). Das Benfordsche Gesetz als Instrument zur Aufdeckung von Unregelmäßigkeiten im Rahmen der Jahresabschlussprüfung. Wirtschaftswissenschaftliches Studium, Vol. 37, No. 2, pp. 100-102. ISSN:0340-1650. GER View Complete Reference Online information Works that this work references Works that reference this work
Friar, JL, Goldman, T and Pérez–Mercader, J (2012). Genome Sizes and the Benford Distribution. PLoS ONE 7(5): e36624. doi:10.1371/journal.pone.0036624 Public Library of Science. View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N and Delahaye, J-P (2009). Scatter and regularity imply Benford's Law ... and more. arXiv preprint -http://arxiv.org/pdf/0910.1359.pdf. View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N and Delahaye, J-P (2011). Scatter and Regularity Implies Benford's Law... and More. in H. Zenil (Ed.) Randomness Through Complexity, Singapore, World Scientific, 53-69. ISSN:13978-981-4327-74-9. View Complete Reference Online information Works that this work references Works that reference this work
Giuliano, R and Janvresse, E (2010). A unifying probabilistic interpretation of Benford's Law. Uniform Distribution Theory. View Complete Reference Online information Works that this work references Works that reference this work
Good, IJ (1965). Letter to the Editor. The American Statistician 19(3), 43. View Complete Reference Online information Works that this work references Works that reference this work
Gorroochurn, P (2012). Benford and the Peculiar Behavior of the First Significant Digit (1938). Chapter 27 in: Classic problems of probability. John Wiley & Sons: Hoboken, NJ, 2012. ISSN:978-1-118-06325-5 . DOI:10.1002/9781118314340. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Günnel, S and Tödter, KH (2009). Does Benford's law hold in economic research and forecasting?. Empirica 36, 273-292. View Complete Reference Online information Works that this work references Works that reference this work
Hafner, EM (1979). Circular slide roulette. IEEE Communications Magazine 17(2), 29-32. View Complete Reference Online information Works that this work references Works that reference this work
Hamadeh, N (2004). Wireless Security and Traffic Modeling Using Benford's Law. Master’s Thesis, University of New Mexico, Albuquerque, NM, 2004 (99 pgs). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hamming, R (1970). On the distribution of numbers. Bell Syst. Tech. J. 49(8), 1609-1625. ISSN:0005-8580. View Complete Reference No online information available Works that this work references Works that reference this work
Hassan, B (2002). Assessing data authenticity with Benford’s law. Information Systems Control Journal 6. View Complete Reference Online information Works that this work references Works that reference this work
Havil, J (2008). Benford's Law. pp 190-200 in: Impossible? Surprising solutions to counterintuitive conundrums, Princeton University Press, USA. ISSN:ISBN 978-0-691-13131. 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), 887-895. ISSN:0002-9939. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (2001). Response to "Benfords Gesetz", Brief an die Herausgeber. Mitteilungen der Deutschen Mathematiker Vereinigung, 3/2001, p 4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hobza, T and Vajda, I (2001). On the Newcomb-Benford law in models of statistical data. Revista Matematica Complutense XIV(2), 407-420. ISSN:1139-1138. View Complete Reference Online information Works that this work references Works that reference this work
Holz, C (2013). The Quality of China's GDP Statistics. Munich Personal RePEc Archive Paper No. 51864; available online at http://mpra.ub.uni-muenchen.de/51864/; last accessed June 23, 2014. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Humenberger, H (1996). Das Benford-Gesetz über die Verteilung der ersten Ziffer von Zahlen. Stochastik in der Schule 16(3), 2–17. View Complete Reference Online information Works that this work references Works that reference this work
Humenberger, H (2008). Eine elementarmathematische Begründung des Benford-Gesetzes. Der Mathematikunterricht 54(1), 24-34. View Complete Reference Online information Works that this work references Works that 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, 10 p. View Complete Reference Online information Works that this work references Works that reference this work
Irmay, S (1997). The relationship between Zipf's law and the distribution of first digits. Journal of Applied Statistics 24(4), 383-393. ISSN:0266-4763. View Complete Reference Online information Works that this work references Works that reference this work
Iudica, F (2012). Benford’s Law: Mathematical Properties and Forensic Accounting Applications. Master’s Thesis, Luiss Guido Carli University, Rome, Italy, 2012. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Iyengar, SS, Rajagopal, AK and Uppuluri, VRR (1983). String Patterns of Leading Digits. Applied Mathematics and Computation 12(4), 321-337. ISSN:0096-3003. View Complete Reference Online information Works that this work references Works that reference this work
Jamain, A (2001). Benford’s Law. Master Thesis. Imperial College of London and ENSIMAG. View Complete Reference Online information Works that this work references Works that reference this work
Janvresse, E (2009). Quel est le début de ce nombre ?. Images des Mathématiques, 26 December. FRE View Complete Reference Online information Works that this work references Works that reference this work
Janvresse, É (2012). Quelques contributions aux probabilités eta la théorie ergodique. Document de synthèse présenté pour l’Habilitation àDiriger des Recherches, l’université de Rouen. FRE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Janvresse, E and de la Rue, T (2004). From Uniform Distributions to Benford’s Law. Journal of Applied Probability 41(4), 1203-1210. ISSN:0021-9002. View Complete Reference Online information Works that this work references Works that reference this work
Janvresse, É and de la Rue, T (2009). Benford’s law. (Catalan. Catalan summary). Butl. Soc. Catalana Mat., 24(1):5{12, 2009. Translated by Frederic Utzet. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Jasak, Z and Banjanovic-Mehmedovic, L (2008). Detecting Anomalies by Benford's Law. pp 453-458 in: IEEE International Symposium on Signal Processing and Information Technology, 2008. ISSPIT 2008. ISSN:978-1-4244-3554-8. View Complete Reference Online information Works that this work references Works that reference this work
Kak, SC (1983). Strings of first digits of powers of a number. Indian J. Pure Appl. Math. 14(7), 896-907. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kontorovich, AV and Miller, SJ (2005). Benford's Law, Values of L-functions and the 3x+ 1 Problem. Acta Arithmetica 120(3), 269-297. ISSN:0065-1036. View Complete Reference Online information Works that this work references Works that reference this work
Kossovsky, AE (2006). Towards a Better Understanding of the Leading Digits Phenomena. arXiv:math/0612627. View Complete Reference Online information Works that this work references Works that reference this work
Kossovsky, AE (2006). Towards A Better Understanding Of The Leading Digits Phenomena. arXiv:math/0612627. Last updated Oct 31, 2012. View Complete Reference Online information Works that this work references Works that reference this work
Lee, J, Cho, WKT and Judge, G (2010). Stigler’s approach to recovering the distribution of first significant digits in natural data sets. Statistics and Probability Letters 80(2), 82-88. 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): 816-817. ISSN:0002-9505. View Complete Reference Online information Works that this work references Works that reference this work
Ley, E (1996). On the Peculiar Distribution of the US Stock Indexes' Digits. American Statistician 50(4), 311-313. ISSN:0003-1305. View Complete Reference Online information Works that this work references Works that reference this work
Lim Kai Jie, S and Kalaichelvan, M (2012). A Critical Evaluation of the Significance of Round Numbers in European Equity Markets in Light of the Predictions from Benford's Law. International Research Journal of Finance and Economics No. 95 (2012) pp. 196-210. ISSN:1450-2887. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lipovetsky, S (2008). Comparison among different patterns of priority vectors estimation methods. International Journal of Mathematical Education in Science 39(3), 301-311. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lolbert, T (2006). Digital Analysis: Theory and Applications in Auditing. Hungarian Statistical Review 84, Special number 10. ISSN:0039 0690. View Complete Reference Online information Works that this work references Works that reference this work
Lolbert, T (2007). Statisztikai eljárások alkalmazása az ellenőrzésben (Applications of statistical methods in monitoring). PhD thesis, Corvinus University, Budapest, Hungary. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lu, F (2007). Uncovering Fraud in Direct Marketing Data with a Fraud Auditing Case Builder. Lecture Notes in Computer Science 4702, 540-547. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lu, F and Boritz, JE (2005). Detecting Fraud in Health Insurance Data: Learning to Model Incomplete Benford’s Law Distributions. Machine Learning: ECML 2005 (Proceedings). Lecture Notes in Artificial Intelligence 3270, 633-640. ISSN:0302-9743. View Complete Reference Online information Works that this work references Works that reference this work
Lu, F, Boritz, JE and Covvey, D (2006). Adaptive Fraud Detection Using Benford’s Law. Advances in Artificial Intelligence Lecture Notes in Computer Science Volume 4013, pp. 347-358. ISSN:978-3-540-34628-9. DOI:10.1007/11766247_30. View Complete Reference Online information Works that this work references Works that reference this work
Lu, OF and Giles, DE (2006). Benford's Law and Psychological Barriers in Certain eBay Auctions. Econometrics Working Paper EWP0606, University of Victoria. ISSN:1485-6441. View Complete Reference Online information Works that this work references No Bibliography works 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. View Complete Reference Online information Works that this work references Works that reference this work
Manoochehrnia, P, Rachidi, F, Rubinstein, M, Schulz, W and Diefendorfer, G (2010). Benford’s Law and Its Application to Lightning Data. IEEE Transactions on Electromagnetic Compatibility 52(4), 956-961. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mardia, KV (1972). The distribution of first significant digits. pp 92-93 in: Statistics of Directional Data, Academic Press. View Complete Reference Online information Works that this work references Works that reference this work
Martín, AB (2003). Sistematización del proceso de depuración de los datos en estudios con seguimientos. PhD Thesis, Universitat Autònoma de Barcelona, Spain. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Matula, VV and Kornerup, P (1980). Foundations of Finite Precision Rational Arithmetic. pp 85-111 in: Alefeld, G, Grigorieff, RD (eds.) Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis), Computing Supplementum 2, Springer, Wien-New York. View Complete Reference No online information available Works that this work references Works that reference this work
Michalski, T and Stoltz, G (2013). Do Countries Falsify Economic Data Strategically? Some Evidence That They Might. The Review of Economics and Statistics, Vol. 95, No. 2, pp. 591-616. DOI:10.1162/REST_a_00274. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Nigrini, MJ (2006). Order Statistics and Shifted Almost Benford Behavior. Preprint. 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, 19 pp.. ISSN:0161-1712. DOI:10.1155/2008/382948. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA (2012). The leading digit distribution of the worldwide illicit financial flows. arXiv:1201.3432. View Complete Reference Online information Works that this work references Works that reference this work
Mochty, L (2002). Die Aufdeckung von Manipulationen im Rechnungswesen - Was leistet das Benford's Law?. Die Wirtschaftsprüfung 14, 725-736. View Complete Reference No online information available Works that this work references Works that reference this work
Möller, M (2009). Measuring the Quality of Auditing Services with the Help of Benford’s Law - An Empirical Analysis and Discussion of this Methodical Approach. E-print available at: http://ssrn.com/abstract=1529307; last accessed June 23, 2014. DOI:10.2139/ssrn.1529307. View Complete Reference Online information Works that this work references Works that reference this work
Mörters, P (2001). Benford’s Gesetz über die Verteilung der Ziffern. Habilitationsvorlesung. Kaiserslauten und Bath. View Complete Reference Online information Works that this work references Works that reference this work
Nagasaka, K (1984). On Benford's Law. Annals of the Institute of Statistical Mathematics 36(2), 337-352. ISSN:0020-3157. View Complete Reference Online information Works that this work references Works that reference this work
Nelson, LS (1984). Display Tables and Significant Digits. Journal of Quality Technology 16(3), 175-176. ISSN:0022-4065. View Complete Reference Online information Works that this work references Works that reference this work
Nguyen, HT, Kreinovich, V and Longpré, L (2003). Dirty pages of logarithm tables, lifetime of the universe, and subjective (fuzzy) probabilities on finite and infinite intervals. The 12th IEEE International Conference on Fuzzy Systems. FUZZ’03. Fuzzy Systems 1, 67-73. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Nguyen, HT, Kreinovich, V and Longpré, L (2004). Dirty Pages of Logarithm Tables, Lifetime of the Universe, and (Subjective) Probabilities on Finite and Innite Intervals. Reliable Computing 10(2), 83-106. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ni, D, Wei, L and Ren, Z (2009). Benford's Law and β-Decay Half-Lives. Commun. Theor. Phys. 51, 713-716. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1992). The Detection of Income Tax Evasion Through an Analysis of Digital Frequencies. PhD thesis, University of Cincinnati, OH, USA. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1996). A taxpayer compliance application of Benford’s law. Journal of the American Taxation Association 18(1), 72-91. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1996). Digital Analysis and the Reduction of Auditor Litigation Risk. Proceedings of the 1996 Deloitte & Touche / University of Kansas Symposium on Auditing Problems, ed. M. Ettredge, University of Kansas, Lawrence, KS, pp. 69-81. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1999). Peculiar patterns of first digits. IEEE Potentials 18(2), 24-27. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2011). Forensic Analytics: Methods and Techniques for Forensic Accounting Investigations. John Wiley & Sons, Hoboken, New Jersey. ISSN:978-0-470-89046-2. View Complete Reference No online information available Works that this work references Works that reference this work
Nigrini, MJ (2012). Benford's Law: Applications for Forensic Accounting, Auditing, and Fraud Detection . John Wiley & Sons, Hoboken, New Jersey. ISSN:978-1-118-15285-0. View Complete Reference No online information available Works that this work references Works that reference this work
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. ISSN:0882-8121. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ and Mittermaier, LJ (1997). The use of Benford's Law as an aid in analytical procedures. Auditing - A Journal of Practice & Theory 16(2), 52-67. ISSN:0278-0380. View Complete Reference Online information Works that this work references Works that reference this work
Pavlov, AI (1982). On the distribution of fractional parts and Benford’s law. Math. USSR Izvestija 19(1), 65-77. English translation of: Izv. Akad. Nauk SSSR Ser. Mat., 1981, 45(4), 760–774. View Complete Reference Online information Works that this work references Works that reference this work
Pocheau, A (2006). The significant digit law: a paradigm of statistical scale symmetries . European Physical Journal B 49(4), 491-511. ISSN:1434-6028. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Posch, PN (2004). Ziffernanalyse in der Fälschungsaufspürung. Benford’s Gesetz und Steuererklärungen in Theorie und Praxis. unpublished manuscript. View Complete Reference Online information Works that this work references Works that reference this work
Posch, PN (2010). Ziffernanalyse. VEW Verlag Europäische Wirtschaft: Munich 2nd edition. View Complete Reference Online information Works that this work references Works that reference this work
Raimi, RA (1969). The Peculiar Distribution of First Digits. Scientific American 221(6), 109-119. ISSN:0036-8733. View Complete Reference No online information available Works that this work references Works that reference this work
Raimi, RA (1969). On Distribution of First Significant Figures. American Mathematical Monthly 76(4), 342-348. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Raimi, RA (1976). The First Digit Problem. American Mathematical Monthly 83(7), 521-538. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Rajagopal, AK, Uppuluri, VRR, Scott, DS, Iyengar, SS and Yellayi, M (1984). New structural properties of strings generated by leading digits of 2N. Applied Mathematics and Computation 14(3), 221-244. View Complete Reference Online information Works that this work references Works that reference this work
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. http://arxiv.org/abs/1405.2744 (Submitted on 12 May 2014); last accessed 23 June 2014. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Rauch, B, Brähler, G, Engel, S and Göttsche, M (2011). Fact and Fiction in EU-Governmental Economic Data. German Economic Review 12(3), 243-255. DOI:10.1111/j.1468-0475.2011.00542.x. View Complete Reference Online information Works that this work references Works that reference this work
Rieger, J (1993). Das Rätsel der ersten Ziffern. Frankfurter Allgemeine Zeitung, Oktober 20. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Robertson, JB, Uppuluri, VRR and Rajagopal, AK (1983). First digit phenomenon and ergodic theory. Journal of Mathematical Analysis and Applications 95(2), 375-378. View Complete Reference Online information Works that this work references Works that reference this work
Rodriguez, RJ (2004). Reducing False Alarms in the Detection of Human Influence on Data. Journal of Accounting, Auditing & Finance 19(2), 141-158. View Complete Reference Online information Works that this work references Works that reference this work
Rosenkrantz, RD (1977). Benford's Law. Example 3.6.6, pp 67-68 in: Inference, Method and Decision: Towards a Bayesian Philosophy of Science, Reidel Publishing Company, USA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ryder, P (2009). The Relationship Between the Newcomb-Benford Law and the Distribution of Rational Numbers. Zeitschrift für Naturforschung 64a, 615-617. View Complete Reference Online information Works that this work references Works that reference this work
Ryder, P (2009). Multiple origins of the Newcomb-Benford law: rational numbers, exponential growth and random fragmentation. Staats- und Universitätsbibliothek Bremen, Germany. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sarkar, BP (1973). An Observation on the Significant Digits of Binomial Coefficients and Factorials. Sankhya - The Indian Journal of Statistics Series B 35(3), 363-364. ISSN:0581-5738. View Complete Reference Online information Works that this work references Works that reference this work
Saville, A (2003). Using Benford's Law to predict data error and fraud. An examination of companies listed on the JSE securities exchange. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Saville, A (2006). Using Benford's law to detect data error and fraud: an examination of companies listed on the Johannesburg Stock Exchange. South African Journal of Economic and Management Sciences 9(3), 341-354. ISSN:1015-8812. View Complete Reference Online information Works that this work references Works that reference this work
Schäfer, C, Schräpler, JP and Müller, KR (2004). Identification, Characteristics and Impact of Faked and Fraudulent Interviews in Surveys. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schäfer, C, Schräpler, JP, Müller, KR and Wagner GG (2004). Automatic Identification of Faked and Fraudulent Interviews in Surveys by Two Different Methods. Discussion paper 441, DIW Berlin (German Institute for Economic Research). View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1988). On mantissa distributions in computing and Benford’s law. Journal of Information Processing and Cybernetics EIK 24(9), 443-455. ISSN:0863-0593. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1998). On Benford's law to variable base. Statistics & Probability Letters 37(4): 391-397. ISSN:0167-7152. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (2001). Briefe an die Herausgeber. Mitteilungen der Deutschen Mathematiker Vereinigung, 2/2001, pp 6-7. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Scheidt, JK and Schelin, CW (1987). Distributions of floating point numbers. Computing 38(4), 315-324. ISSN:0010-485X. View Complete Reference Online information Works that this work references Works that reference this work
Schilling, MF (1992). Sequential Partitioning. American Mathematical Monthly 99(9), 846-855. ISSN:0002-9890. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schraepler, J-P (2010). Benford's Law as an instrument for fraud detection in surveys using the data of the Socio-Economic Panel (SOEP). Socio-Economic Panel (SOEP) paper No. 273, March 2, 2010.. View Complete Reference Online information Works that this work references Works that reference this work
Schräpler, JP and Wagner, GG (2003). Identification, characteristics and impact of faked interviews in surveys. An analysis by means of genuine fakes in the raw data of SOEP. IZA Discussion paper no. 969. Also published as DIW Berlin (German Institute for Economic Research) discussion paper 392, December 2003 - online at www.diw-berlin.de/documents/publikationen/73/41110/dp392.pdf. View Complete Reference Online information Works that this work references Works that reference this work
Scott, PD and Fasli, M (2001). Benford’s law: an empirical investigation and a novel explanation. CSM Technical Report 349, Department of Computer Science, University of Essex, UK. View Complete Reference Online information Works that this work references Works that reference this work
Scozzafava, R (1981). Un esempio concreto di probabilita non σ-additiva: la distribuzione della prima cifra significativa dei dati statistici. Boll. Un. Mat. Ital. A(5) 18(3), 403-410. View Complete Reference No online information available Works that this work references Works that reference this work
Shao, L and Ma, BQ (2009). First Digit Distribution of Hadron full width. Modern Physics Letters A, 24(40), 3275-3282. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2010). Empirical mantissa distributions of pulsars. Astroparticle Physics 33, 255-262. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2010). The significant digit law in statistical physics. Physica A 389, 3109-3116. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2010). First-digit law in nonextensive statistics. Physical Review E 82, 041110. View Complete Reference Online information Works that this work references Works that reference this work
Shengmin, Z and Wenchao, W (2010). Does Chinese Stock Indices Agree with Benford's Law?. 2010 International Conference on Management and Service Science (MASS), 24-26 Aug. 2010, Wuhan, Page(s): 1 - 3, doi: 10.1109/ICMSS.2010.5575999. ISSN:978-1-4244-5325-2. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shenton, LR (1968). Periodicity and density of modified Fibonacci sequences. Fibonacci Quarterly 6(2), 109-116. View Complete Reference No online information available Works that this work references Works that reference this work
Slijepčević, S and Blašković, B (2013). Statistical detection of fraud in the reporting of Croatian public companies. Financial Theory and Practice, 38(1), pp. 81-96. DOI:10.3326/fintp.38.1.4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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), 619-634, doi: 10.1007/s11004-012-9398-1. View Complete Reference Online information Works that this work references Works that reference this work
Stoschek, EP and Schönfeld, D (2002). Benford's Law - Places of interest near Benford`s Law. Module 45 of: Workshop on Design of Algorithms. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tödter, KH (2009). Benford's Law as an Indicator of Fraud in Economics. German Economic Review 10(3), 339-351. View Complete Reference Online information Works that this work references Works that reference this work
Torres, J, Fernandez, S, Gamero, A and Sola, A (2007). How do numbers begin? (The first digit law). European Journal of Physics 28(3), L17-L25. ISSN:0143-0807. View Complete Reference Online information Works that this work references Works that reference this work
Tsao, NK (1974). On the Distributions of Significant Digits and Roundoff Errors. Communications of the ACM 17(5), 269-271. ISSN:0001-0782. View Complete Reference Online information Works that this work references Works that reference this work
Turner, PR (1982). The Distribution of Leading Significant Digits. IMA Journal orf Numerical Analysis 2(4), 407-412. ISSN:0272-4979. View Complete Reference Online information Works that this work references Works that reference this work
Turner, PR (1984). Further Revelations on LSD. IMA Journal of Numerical Analysis 4(2), 225-231. ISSN:0272-4979. View Complete Reference Online information Works that this work references Works that reference this work
Valadier, M (2012). The Benford phenomenon for random variables. Discussion of Feller's way. arXiv:1203.2518. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Valk, G (2004). Benford’s Law and Faking Data. The Pi, Volume 1, Spring 2004, Dept of Mathematics and Statistics, Georgia State University, Atlanta, USA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Volcic, A (1996). The First Digit Problem and Scale-Invariance. pp 329-340 in: P. Marcellini, G. Talenti and E. Vesentini (eds), Partial differential equations and applications: collected papers in honor of Carlo Pucci. Marcel Dekker. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wallace, WA (2002). Assessing the quality of data used for benchmarking and decision- making. The Journal of Government Financial Management 51(3), 16-22. View Complete Reference Online information Works that this work references Works that reference this work
Watrin, C, Struffert, R and Ullmann, R (2008). Benford’s Law: an instrument for selecting tax audit targets?. Review of Managerial Science 2(3), 219-237. View Complete Reference Online information Works that this work references Works that reference this work
Weaver, W (1963). The distribution of first significant digits. pp 270-277 in: Lady Luck: The Theory of Probability, Doubleday Anchor Series, New York. Republished by Dover, 1982. View Complete Reference Online information Works that this work references Works that reference this work
Webb, W (1975). Distribution of the first digits of Fibonacci numbers. Fibonacci Quarterly 13, 334-336. View Complete Reference No online information available Works that this work references Works that reference this work
Whittaker, JV (1983). On scale-invariant distributions. SIAM Journal on Applied Mathematics 43(2), 257-267. View Complete Reference Online information Works that this work references Works that reference this work
Winter, C, Schneider, M and Yannikos, Y (2011). Detecting Fraud Using Modified Benford Analysis. Advances in Digital Forensics VII, 7th IFIP WG 11.9 International Conference on Digital Forensics, Orlando, FL, USA, January 31 – February 2, 2011, Revised Selected Papers. Gilbert Peterson and Sujeet Shenoi (Editors). IFIP Advances in Information and Co. ISSN:1868-4238. DOI:10.1007/978-3-642-24212-0_10. View Complete Reference Online information Works that this work references Works that reference this work
Winter, C, Schneider, M and Yannikos, Y (2012). Model-Based Digit Analysis for Fraud Detection overcomes Limitations of Benford Analysis. Availability, Reliability and Security (ARES 2012), Seventh International Conference, August 20–24, 2012, Prague, Czech Republic. IEEE CS volume E4775, pages 255–261. IEEE Computer Society. ISSN:978-1-4673-2244-7 . DOI:10.1109/ARES.2012.37. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wojcik, MR (2013). Notes on scale-invariance and base-invariance for Benford's Law. arXiv:1307.3620 [math.PR]. View Complete Reference Online information Works that this work references No Bibliography works reference this work